diff --git "a/data/dm_maths/full_data/1291_11255.jsonl" "b/data/dm_maths/full_data/1291_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1291_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the closest to 1\/11 in -5, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*f**3 + 2*f**2 + 110*f - 3 wrt f?\nAnswer: -156*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2\/3 (b) -0.053 (c) 0 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29 and 25?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 3*16\/3. Let n be 2\/(r\/(-8) - 2). Find the second derivative of -n*u**5 + 0*u + 6*u**5 + 6*u - 3*u wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/32670 and -67\/1485.\nAnswer: 32670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - q + 5 = -w, -w + 7 = -q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1*748478\nAnswer: 748478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 4 (b) 8 (c) 0.2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (3 - 6) + 3. Suppose 57*m = 54*m + 9. Suppose -r*f = -4*f + m*v, 2*v = -f - 4. Which is greater: f or -13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/(-170))\/((-4)\/(-4)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 + 105. Let k = 34270.1 + -34242.10078. Let s = k + g. Round s to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 61\/(-3))*-6. Factor -72*h**3 + l*h + 341*h**2 + 151*h**2 + 4*h**4 - 1016*h - 60*h**2.\nAnswer: 4*h*(h - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1973202 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l - 2243. Let j(k) = 11*k - 6734. What is 8*f(p) - 3*j(p)?\nAnswer: -p + 2258","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 12 = 2*f - 95, -5*f = -20. Suppose -2*r + 5*r = -s - 135, 4*s + r + 551 = 0. What is the remainder when s\/(-5) - (-12)\/30 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 14, -7, 1 in decreasing order.\nAnswer: 14, 4, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -12*k**3 - 21*k**2 - k + 139. What are the prime factors of i(-9)?\nAnswer: 5, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1216, -2430, -3658, -4906, -6180, -7486?\nAnswer: -8830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 2433 + 38482. Calculate the least common multiple of s and 3.\nAnswer: 17535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68857.\nAnswer: 37, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2246*a**3 - 242 - 704*a**3 + 242.\nAnswer: 1542*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -11) + 0 + (-8 - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ljhhkgykhjj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -127*z**4\/12 - 28*z**3\/3 - 17*z**2. Let r be a(-26). Suppose -9*v = -13*v + r. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3457105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1187, -111, 4 in descending order.\nAnswer: 1187, 4, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -10*w - 9. Let v(l) = -8 - 2*l + 2 + 7 + 12. Let b be v(8). Does 6 divide h(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**3\/3 - u**2 - 18*u. What is r(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-4))\/(9\/312). List the prime factors of x\/(-12)*(-2 + -4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47572 is divided by 7928.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + -5.98. Let z(x) = -5*x - 80. Let m be z(-16). Let p = 40 - 43. Which is the third smallest value? (a) k (b) m (c) p (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 22 (b) 3 (c) 18 (d) -2\/19 (e) 2 (f) -287\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -654 - -15551. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65131 + 65114. Let j(b) = b**2 - 8*b - 6. Let l(m) = -16*m + 8*m**2 - 5*m**2 - 7*m - 17. Give k*j(h) + 6*l(h).\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32290 divided by -12?\nAnswer: -16145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*d - 9*d + 48*d)*(d + 2*d - d - 4 - 2*d + 4 + (0 - 1 + 3)*(0*d + 2*d - 3*d)) in the form j + p*d + i*d**2 and give i.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 229*f - 1243. Let r(t) = 76*t. Calculate -2*c(d) + 6*r(d).\nAnswer: -2*d + 2486","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39aba234 + -5?\nAnswer: 39aba22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 10*g**2 - 8*g - 3. Let b be ((-5)\/(-4) + 0)\/((-3)\/(-12)). What is the units digit of k(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/7))\/q*q)**35*(q*q**(-1\/2))**(-1\/7) assuming q is positive.\nAnswer: q**(629\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -37699302?\nAnswer: 37699301.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-11)*t\/(t\/(t*t*t\/(t*t**9)*t*t))*t\/(t*(t\/t**(1\/6))\/t)*(t**(1\/7)*t*t)\/t assuming t is positive.\nAnswer: t**(-617\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-2958)\/(-3451)*(-1)\/(-6)*(-42)\/(-2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19243 is divided by 19198.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20286, 41232, 62178, 83124, 104070, 125016?\nAnswer: 145962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 407\/66)*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -2. Let s(f) = -7*f**2 + 3*f**2 + z*f**2. Let x(h) = -10*h**2. Calculate x(s(y)).\nAnswer: -40*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279239699, 558479400, 837719101, 1116958802, 1396198503, 1675438204?\nAnswer: 1954677905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1049, -1054, -1061, -1076, -1105, -1154, -1229?\n\"Answer: -n**3 + 5*n**2 - 13*n - 1040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 - 32*o**2 - 4890*o + 34452\/7.\nAnswer: 2*(o - 198)*(o - 1)*(o + 87)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 24*y**2 - 49*y + 82. What is the lowest common multiple of u(-26) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8031*n. Let o(r) = -5*r**2 + 5*r. What is o(k(z))?\nAnswer: -322484805*z**2 - 40155*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 7. Calculate the least common multiple of s(5) and 15\/(1080\/848) - 4\/(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 - 93. Suppose 4*a - 55 + k = 0. Calculate the greatest common factor of 88 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 - 148 = -2*g - 3*p, 2*p + 8 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 22020.77 nanometers?\nAnswer: 0.02202077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6141779.69 to the nearest ten thousand.\nAnswer: -6140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 8*c - 3. Let i = -3 + 3. Calculate the remainder when (4 + -49)*(i - 1) is divided by z(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*z = 1042*z + 862*z - 424*z + 153734 for z.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {o: 4, c: 2, k: 3, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210921*w + 210921*w - 5*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20857 + -2252699\/108. Calculate the common denominator of w and -29\/18.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-728)\/60)*(-198)\/(-55)*42\/(-6)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -5 + 0 + (-2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000521534 rounded to five decimal places?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 114918 times -0.07\nAnswer: -8044.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 59 (b) -2\/21 (c) -5 (d) -8 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 158, 225, 292, 359, 426?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3 - 26*t**2 + 88*t - 64 = 0. Calculate t.\nAnswer: 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*i + 7 + 9 = 0, 4*i = 5*r + 2. Let m = 0 - r. What is the first derivative of 2*h**4 - 2 + 5 + h**m - h**2 wrt h?\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 7, 35, 85, 163, 275?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k - 94. Let w be h(29). What is the tens digit of (-12)\/(-66) - w\/33 - -178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from sksdmcksdccmmssccc.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 20. Let k = -155.3 + 155. Which is the second biggest value? (a) k (b) -1 (c) p (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390069, 1560258, 3510573, 6241014, 9751581?\nAnswer: 14042274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 4*m**2 + 5*m + 2*m**2 - 3*m**2 + 3*m**2 + 2. Let x(n) = -n - 11. Let y be x(-7). Does 14 divide q(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/9)\/(i**4\/i)*i**(4\/9)\/(i**(-4\/5)*i))**(-12))**(-1\/4) assuming i is positive.\nAnswer: i**(-134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -20*o - 41. What is b(-5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, s: 9, i: 2, p: 4}. Give prob of sequence bpbb.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) - -2*sqrt(216))\/(sqrt(2) - (sqrt(2) + sqrt(2)*1)*6).\nAnswer: -18*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*c = 68*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13305971 is divided by 226.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7811*y - 93780. Give f(12).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2127*c - 9*c**2 - 2*c**4 + 2127*c + 1)*(-2*c - 2 + 2).\nAnswer: 4*c**5 + 18*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -0.21\nAnswer: -35.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1062 and 312.\nAnswer: 55224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -114, -6\/11, 50 in descending order.\nAnswer: 50, 2, -6\/11, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 528.1 - 562. Let t = w + 34. What is the nearest to -1 in t, 3\/8, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from iiiusuisiiidssid.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.2 (b) -515 (c) 2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 5:40 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80299, -79936, -79573, -79210, -78847?\nAnswer: -78484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eewwee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -257, -250, -239, -224?\n\"Answer: 2*t**2 + t - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 24, 2\/1223, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58069293*q - 302948291 wrt q?\nAnswer: -58069293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/387)\/(118\/(-12)). Let f = o + -116724\/27907. Calculate the common denominator of f and (-3)\/(-5)*(474\/54 + -6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113768 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.607 and -3?\nAnswer: -7.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {s: 1, y: 2, h: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/(-35))\/((-2)\/5). Suppose i = 5*g - t*i - 2258, 2*g = i + 903. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 90 + 120. Let g = w - 37. Suppose g*s - 5*t - 130 = 0, 0 = 2*s + 4*t - 0*t - 58. What is s rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1959888?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 25*g - 23. Let c be s(1). What is the greatest common divisor of 128 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -f - 14, -2*f + 3 = -3*t - 32. Let a be (t\/28)\/9*2. Is a at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose 3*p - 17 = -2*q, 2*p - r = 3*q + 18. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-5))\/m)**(-6\/7)\/(m*m\/(m\/m**1))**35 assuming m is positive.\nAnswer: m**(-460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 0 - 64*d**2 - d + 62*d**2 + 2. Let t(a) = 8*a**2 + 4*a - 8. Give -9*k(p) - 2*t(p).\nAnswer: 2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253035 is divided by 233.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 663*j = -764 + 281 - 180 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - -222?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/8)\/(-1)*-2. Suppose -t = -i*t + 12. Let v(q) = -4 + 3*q**t - 3095*q**3 + 3097*q**3 - q - q. What is v(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 17*i - 20. Let c(y) = -2*y + 6. Let o(f) = -5*c(f) - s(f). Let h(w) = 5*w. Calculate h(o(v)).\nAnswer: -35*v - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6881488 is divided by 6106?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 7. Let k be (1 + -1)\/(-2) - -9. Let n be s(k). Let x be (2\/n)\/((-18)\/36). Which is the closest to -2\/5? (a) x (b) 0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times -2.62\nAnswer: 3.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-156)*(-93)\/31*3*-2*1.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:11 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*v + 2*j - 12 = -63*v, 4*v + j = 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**4 + k**3 - k + 1. Let d(q) = -4*q**4 - 9*q**3 + 9*q - 13. Let g(i) = -2*d(i) - 18*w(i). What is the first derivative of g(s) wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209553963?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/3654 and 113\/210.\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*v = -47*v. Suppose 3*q - 11*q + 16 = v. What is the third derivative of -14*g**q + 22*g**2 + 18*g**2 - 21*g**4 wrt g?\nAnswer: -504*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 2*b**7\/105 + b**6\/15 - b**5\/15 - b**4\/3 - 2*b**2 + 27*b. Let w(x) be the first derivative of o(x). Factor w(j).\nAnswer: 4*j*(j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) -1\/2 (c) 11 (d) 29 (e) 3\/2 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 853, 852, 851?\n\"Answer: -m + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/185028 and 62\/15?\nAnswer: 925140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-6))\/(20\/(-45)). Let v = 30 + -16. Solve -s - 4 = -3*k - 8, -s - v = t*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 0.3. Let u = r + 1.5. Let d = -37.1 + 36.9. What is the biggest value in 0, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002033211671 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrvvvrvrww. Give prob of picking 2 r.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 462*m**2 + 328949*m\/4 + 445\/2.\nAnswer: (m + 178)*(1848*m + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*o - 20 = 0, 0 = -n + 5*n + 5*o - 22 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k - 3. Let i(b) = 5*b + 2. Let d(z) = -5*i(z) - 4*m(z). Let w be d(-2). Suppose 2*r + 8 = s - 17, 106 = w*s - 5*r. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 6*h)*(3*h**2 + 3*h**3 - 2*h**3 + h**3 + 13*h).\nAnswer: -12*h**4 - 18*h**3 - 78*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1177 + -1174. Solve -l*f + 9 = -3*w, w - 4*w + 7 = 5*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -5759.\nAnswer: -5759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 5, m: 4, n: 2, l: 2}. Give prob of sequence mn.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-61054)\/(-2597))\/(-89))\/(-21).\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 plus 19154546?\nAnswer: 19154627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjm when four letters picked without replacement from jjmjmjjjjjmjmmjjjjj.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u = k + 11, -3*u = -5*k - 31. Solve -4*n = 2*c + 2, 5*n + 5 = u*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 10:46 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 w when four letters picked without replacement from sswwwsswswws?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = 6. Suppose v + 0 = 3*h + 5, -5*h + r = 5*v. Put 1, v, -7 in descending order.\nAnswer: v, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6)*(30 - -2). Factor 0*r**3 - 8*r**2 - 19*r**3 - 4*r**5 - f*r**4 - r**3.\nAnswer: -4*r**2*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5333\/4 + 1334. What is the nearest to o in 0.5, 2, 2.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -50 - 5. Let s = 13 - o. Suppose s*i - 2*t = 0, -2 = i - 3*t - 0. Let r(v) = 3*v - 1. Let a(h) = -1. Calculate i*r(u) - a(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - 3*j)*(-5 + 2 + 1)*(2 - 1 + 1).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031281 rounded to 5 decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 37 - 38 - (6 + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 4.5. Let g = -4.0288 - -4.4288. Which is the nearest to -3\/5? (a) l (b) -7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 10, 39, 96, 187, 318?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 16 + 3*f**2 - 3 + 1.\nAnswer: 3*f**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*m = 31, 0*m = m + 1. Let c be (1080\/(-25))\/(g\/(-26250)). Round c to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -7\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 0, -49*h - 3*j + 7988 = -48*h. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 6 = -2*b. Suppose -5*l - 298 = 242. Let d be (l\/(-8))\/(6\/b). Calculate the greatest common factor of 144 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 16*u + 4*v, -9176*u + 9174*u = 5*v + 28 + 3 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, b: 5, d: 1, e: 1}. What is prob of picking 1 b and 1 d?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/35 and ((-848)\/80)\/((-1129)\/(1 + -2)).\nAnswer: 39515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3916 a factor of 292354773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23493 divided by -1.\nAnswer: -23493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 25*w + 3. Let j be u(3). Suppose c + 19 = j. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-2)\/(-640)) - (-1)\/1. Let k = x + -289. What is the greatest common divisor of k and 864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b + 2*b - 3 + 2. Suppose -10*m + 2*m = -88. Let f(l) be the second derivative of l**3\/6 - l. Determine m*f(d) + 2*x(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 109*o**3 + 3*o**2 + 12*o - 15. Is s(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-1)*u*u)\/(u*u\/(u*u**(1\/4))))**32)**(1\/17))**(-40) assuming u is positive.\nAnswer: u**(-1600\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 - s**2 - s**2 + 3*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.375, -7\/23, -4, -0.5?\nAnswer: -7\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(80) - sqrt(80))*3)\/(sqrt(1440) - sqrt(1440)*2))\/((-2*sqrt(484) - sqrt(484) - sqrt(484)) + 3*(sqrt(4) + sqrt(40)\/sqrt(10) + sqrt(4))).\nAnswer: sqrt(2)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1547602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 0 + 3)*(-1340*k + 2811*k + 1555*k) as f + g*k and give g.\nAnswer: -9078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1531 by 1531.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 10:59 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102170*a - 6 = 102167*a - 3*x, 24*a - 2*x = 3*x - 7 - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 865.1*-0.3\nAnswer: -259.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00628168 rounded to 4 dps?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**5\/5 - 8*u**4\/5 + 16*u**3\/5 + 64*u**2\/5 - 32*u\/5 - 128\/5 = 0?\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 47.\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28\/5 or -7?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-325)\/(-25))\/(-390)*-9*1.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 478.195l?\nAnswer: 478195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let m(o) = 3*o + 2302. What is h(m(j))?\nAnswer: -3*j - 2302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32305.\nAnswer: 5, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/(-10))\/(-18))\/(-9*(-1)\/1845)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 1010?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*l - 38416 = 162*l + 148*l. What is the greatest common factor of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -9.\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 15 = -13*r + 14*r, -4*r = 3*v - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**4\/5 + 6*i**3\/5 - 3*i**2\/5 - 6*i\/5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 24. Let i = -3 - b. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -115340672*i. Let o(d) = d. Determine o(b(v)).\nAnswer: -115340672*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 218 and 564195663.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08982 - 0.09. What is g rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)\/((z\/(z*z*z*z\/((z**(5\/3)*z*z)\/z)*z))\/z))\/((z*z**(-16))\/(z*z**21)) assuming z is positive.\nAnswer: z**(475\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 401471 - 13.4?\nAnswer: 401457.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {e: 2, g: 1, d: 4, j: 1, x: 8}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k**2 + 29886. Let f(j) = 4*j - 2. What is f(h(r))?\nAnswer: -36*r**2 + 119542","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 461 - 469. Let x(k) = -25*k - 6. Is x(g) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/3 - 3998*x**3\/3 - 384934*x**2\/3 + 132306*x + 259284 = 0. Calculate x.\nAnswer: -93, -1, 2, 2091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + -5*98\/140 + 11770810\/(-4). Round y to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**7\/2520 + u**6\/1080 - u**5\/90 - u**4\/18 - 5*u**3\/3 - 12*u. Let w(y) be the second derivative of f(y). Factor w(x).\nAnswer: (x - 2)*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -18*v**5 + 6*v - 200. Let o(b) = b**5 + b**2 + b - 1. Let n(g) = 5*o(g) - y(g). What is the second derivative of n(d) wrt d?\nAnswer: 460*d**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10792 + 59*f + 255*f + 10792.\nAnswer: 314*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1992 = -4*j + 2*s, 10*j - 2501 = 5*j - 3*s. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - t + 1. Let q(d) = -4*d**2 + 5*d - 71. Let l(x) = q(x) + 5*z(x). Let s be l(-8). Let n(v) = 4*v + 0 - v - 4*v + 2. Determine n(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0 = a + 2, -5*a = -4*t - 38. What is the least common multiple of 22 and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 5*h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4050 - -4142.85. Let l = 89.41 - -1.59. Let i = l - d. Round i to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 17 = 2*r - 1, 0 = -2*r + 2*w + 18. Suppose v - 3 = 4*q + r, 2*q + 4 = v. Let z(i) = 4 - 3 + i**2 + 4*i + 0*i + 2*i. Give z(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.71484 plus -3?\nAnswer: 131.71484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5*(-2*sqrt(99) - sqrt(99)))\/(-1*sqrt(225)) + -3 + -2)**2.\nAnswer: -60*sqrt(11) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w**2 - 698*w. Let v(y) = -20*y**2 - 1395*y. Let o(g) = -5*j(g) + 2*v(g). Determine t, given that o(t) = 0.\nAnswer: -140, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 3 (b) -0.5 (c) -5 (d) 75.7 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxooxxggxggxx. Give prob of picking 2 g.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5020530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -86, -180, -316, -500, -738?\nAnswer: -1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 15*i. Give q(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (-1*(-7 - -4))\/(-1). Let r(f) = -4*f - 4. Let w be r(-3). Solve 4*c + w = -j*x - 0*x, -4*x - c + 11 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.1893 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/((-2*sqrt(77) - sqrt(77))\/sqrt(7)))**2 - ((sqrt(13) + 2 + sqrt(13) + sqrt(13))**2 + 5)*-4.\nAnswer: 48*sqrt(13) + 4549\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*n - 20, -1905*n + 4*f - 20 = -1900*n. Let l = -9.3 - -10. Which is the nearest to l? (a) n (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x**3 + 2*x**2 + 4*x - 4. Let j(w) = -5*w - 3*w**2 - 544*w**3 - w - 603*w**3 + w + 1157*w**3 + 5. Determine -6*j(a) - 7*k(a).\nAnswer: 3*a**3 + 4*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.5 take away -458002489?\nAnswer: 458002763.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 3:49 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052124.\nAnswer: 2, 3, 43, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1488\/104)\/31*-52?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 c, and 1 q when three letters picked without replacement from {a: 2, c: 4, q: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 20 = 0, -179 = -2*k + 5*l + 60. Let s = 322\/3 - k. What is the third smallest value in 0.1, s, 0, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 + -1.63. Let u = -0.0700002 + w. Round u to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/6675 and -127\/2354050.\nAnswer: 7062150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-12) - (-294)\/(-168)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13562455 is divided by 3390594?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 at most 940?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 1, 5.197 in ascending order.\nAnswer: -3, 1, 3, 5.197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -518.7076553677\nAnswer: 519.7076553677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2\/5 - 149*j\/5 - 148\/5 = 0.\nAnswer: -148, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122052174 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0080955 to four dps.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/645? (a) -3 (b) 3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 3.2 (c) -0.1 (d) 4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaajaajjeaej. Give prob of picking 1 a and 2 e.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + g)*(-78 + 1 - 54).\nAnswer: -131*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(9\/(135\/(-10)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**6\/1440 + c**5\/160 - c**4\/48 + 2*c**3\/3 - 1. Let i(m) be the third derivative of r(m). Factor i(n).\nAnswer: -(n - 2)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4261982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-119)\/(-204) - 2\/6. Solve -1\/4*s**2 + 0 - l*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 724*u - 88596 = 3185*u for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.07209 + -66.04. Round i to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*j**3 + 23*j**4 - 24*j**3 + (0*j - j + 0*j)*(4*j**3 - 4*j**3 - 2*j**3 + (-2*j**2 + j**2 - j**2)*(-5*j + j + 3*j) + 3*j**3 - j**3 - j**3).\nAnswer: 22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 208720963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1242550 (base 7) to base 3\nAnswer: 22012222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 6*d + 408. Let j(q) = -2 + 3 + 7*q**2 + 2*q + 1. What is the remainder when j(-3) is divided by t(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.7207 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783772991 a multiple of 4389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 19 = -5*y, 2*y + 2*j + 3 = -1. Let h be (1 - 2)\/(1\/y). Suppose i = h*d + 55, -d = i + 2*d - 37. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 6*x**2 - 7*x. Let w(f) = 3*f**3 - 5*f**2 - 6*f. Let g(y) = 6*r(y) - 7*w(y). What is the units digit of g(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*n - 0. Suppose 2*s - 11 = -n*s + 5*q, -14 = -3*s - 2*q. Solve -4 = 2*z + s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 divided by -114?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306301 is divided by 6517.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 670 divided by -134\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 65246583 and -3.\nAnswer: -195739749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + d + 39 = 0, -3*j + 6*d - 96 = 2*d. What is the second smallest value in -0.3, j, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 584376093 + -584376096.000001285. Let v = 3 + f. What is v rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*5*(-5)\/(-40)*4. Suppose -i + o = 7. List the prime factors of 62*(-4)\/16*i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344042 is divided by 3598?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 107 - 12083304\/(-114886)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172830 is divided by 57609.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/((-3)\/126). Is (-1 - -3)*469\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 173*y - 3100. Calculate t(190).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.454 rounded to the nearest integer?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5 + 4*z - 5*z + 6*z + z**2. Let w(p) be the third derivative of -6*p**2 - p**3 + 1\/60*p**5 + 0*p + 1\/4*p**4 + 0. Determine 5*w(f) - 6*y(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 - -132. Let f(w) = -40 - w + 8*w + c - 7*w**2. Let x(s) = 4*s**2 - 4*s - 1. Calculate 3*f(r) + 5*x(r).\nAnswer: -r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 323999\/22 - 14723. What is the common denominator of g and -83\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = y + 3*y. Calculate the remainder when -1 + y - (3 + -3) is divided by -6*((1 - 1) + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 - 3*s**4 + 2*s**4 + (3*s - s - s)*(0*s + 0*s + 2*s**3) - 2*s**4 - 2*s + 2*s - 22*s**4 + 257 - 257.\nAnswer: -20*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (22 - (-5 - -1) - -63)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**3 - i**2 + i. Let a be l(1). Solve -4*z - a = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050023?\nAnswer: 13, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1176984 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 26270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 464274, 933338, 1402388, 1871418, 2340422, 2809394?\nAnswer: 3278328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-168)*1*-8\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.059 + 0.059. Suppose t + 0*t - 5 = 0. Which is the nearest to -1? (a) p (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 1 - 1)*(-2 + 4 - 1) - 3*b + 0*b + b - b + 4 + 1 - 3.\nAnswer: -4*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/57 and 23\/323.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -2. Let q(p) = -p**3 + 6*p - 4*p**2 - n*p + 11*p - 1. Let r be q(-6). Which is greater: -4 or r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00184 * -8796\nAnswer: -16.18464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 116.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/340 and -10\/7?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-19440.\nAnswer: 58320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5 - (9 + -7 - 1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 3. Let y be b(7). Solve 3*q = -4*o - q + 4, -3*o = 2*q - y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 h when three letters picked without replacement from {h: 2, a: 1, s: 2, k: 1, t: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1000100010000?\nAnswer: 1000100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.53 + 0.3. Let a = 2.47 - o. Let l = a - 3. What is the second smallest value in l, -4, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2300 greater than -2216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.9531496855025 and -0.47?\nAnswer: 0.4831496855025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3*v - 3*v)*(0*v**2 + 5*v**2 - 4*v**2) - 4*v**4 + 3*v**4 - 8*v**4.\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24768 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 11:55 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2\/7, 3, 8, 0.5, 2, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6272 + 6322. Calculate the greatest common divisor of 6725 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(720) - sqrt(720) - 2*sqrt(245)*1)**2.\nAnswer: 106580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1773ab (base 12) to base 9.\nAnswer: 678725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 - 14*i + 7. Let p(b) = b**2 - 3*b + 1. Give -h(a) + 4*p(a).\nAnswer: a**2 + 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 11*l**2 - 9*l + 13. Suppose -4*y + 5*y = -10. Let f be s(y). Find the third derivative of -u**3 - 6*u**3 + 3*u**2 + 7*u**f - 5*u**5 wrt u.\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76311, 76316, 76325, 76338, 76355, 76376?\nAnswer: 76401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -155204.1721?\nAnswer: 155208.1721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200824 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 - -3050618509960.\nAnswer: 3050618509920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68698 = 2*f - 7*f + s, -f - 2*s = -13733. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14893 - -14978. Solve 980*q - 963*q + z = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2 + 4 = 0, -o - s + 5 = 0. Solve -o*a = -2*a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 53 - 41 = 0. Let f be 4 - -2 - a - -2. Solve n = -3*u + f, -5 - 5 = -5*n + 2*u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1\/2. Let x = -16717\/1104 + 731\/48. Sort 1\/3, -0.2, x, q in increasing order.\nAnswer: q, -0.2, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-760)\/(-1140))\/((-6)\/243).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - c + 1. Let i(l) = 5*l - 17. Let m be i(4). Let h = m + -7. Let z(v) = -5*v**2 - 4*v + 4. Determine h*s(n) + z(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -97 - 144. Let o = -222 + x. Solve 2*k - 4*w + 22 = 0, 4*k + w + o = 4*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180676.\nAnswer: 2, 7, 149, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 2*t. Let n(k) = 5*k**2 + 4*k - 5*k - 4*k**2 + 0*k. Give g(h) - 2*n(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/a*a**(-5\/7)\/a*a)\/(a**(2\/3)\/(a\/(a\/(a**(8\/7)*a)))) assuming a is positive.\nAnswer: a**(-89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*a + 7*a - 10*a)*(-5*a + 5*a + 2*a)*(-66*a**3 + 82*a**3 - 60*a**3).\nAnswer: 4576*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmyymryyyyymyyy. Give prob of sequence ymmy.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 182989.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*s + 3. Suppose -11 = -s*o + 9, 3*w - 2*o - 19 = 0. What is the highest common factor of 99 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 9:50 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((21\/(-12))\/(-7)). Let f(s) = s**2 + 4*s + 5. Give f(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 8:37 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 1 - (60 - 48)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/39828 and -99\/13276?\nAnswer: 39828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10934*i + 5042*i = -883800 for i.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*b + 377 - 377 in the form t*b + y and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + u - u + 2*u**2 - 3*u**2 + 3*u**2 + (11 - 4*u - 11)*(0*u - 4*u + 3*u))*(-1 - 1 + 3)*(u**2 + 0 + 0).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 3\/7 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, -4, -1, 6, 17?\n\"Answer: 2*r**2 - 7*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3))**(-14)*(w**(-1)\/w)**(-49))\/((w\/(w*w**(2\/9)))**35)**(-18) assuming w is positive.\nAnswer: w**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -64430*t**2 - t - 1. Let z(u) = -u. Determine z(s(d)).\nAnswer: 64430*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 a factor of 1013741214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*c**3 + 240*c - 240*c)*(23*c**2 + 40*c**2 + 9*c**2).\nAnswer: 1008*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78224173 to the nearest integer?\nAnswer: 8844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5188661*d + 1 - 25636614*d - 1.\nAnswer: -30825275*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.8 - -6.4. Which is the second smallest value? (a) g (b) -2 (c) 0.075\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245679739133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -0.54, -0.25722 in descending order.\nAnswer: -1\/11, -0.25722, -0.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/(-16)*(16\/280 - 0). Let n(x) be the third derivative of 0*x + 0 + b*x**4 + 1\/150*x**6 - 6\/5*x**3 - 5*x**2 + 1\/15*x**5. Let n(c) = 0. Calculate c.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-1 + 5*45\/(-25) + 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**4\/4 + 13*z**3\/3 + 7*z**2 - 10*z - 4. Let d be w(14). Let c = d + 33. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, -4, 0.2, -1\/16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -184914, -370273, -555630, -740985, -926338, -1111689?\n\"Answer: i**2 - 185362*i + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 96 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 4*h - h)*(1 + 2 - 5)*(3 - 1 + 4) to the form a + n*h and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41, 40, 39?\n\"Answer: -p + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 99787049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2025 in 0.3, -2\/5, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13))**(-22\/3) assuming l is positive.\nAnswer: l**(286\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v - 4. Let k(h) = -5*h - 3. Let d(q) = 4*k(q) - 3*u(q). Let s = -3 + 5. Let g(l) = -l**2 - 3*l**s + 3*l**2. What is d(g(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Let k be (-1)\/(-3) + 4\/4. What is the biggest value in 1\/8, -4, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10946007*k**3 + 10235924*k**2 wrt k.\nAnswer: -65676042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(-14 + 13 - 4*o - 2*o).\nAnswer: -18*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000225027038 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.74\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + h + 3*h**2 + 13 - 16. Let n(g) = g**2 - 1. Suppose -2*m - 2 + 0 = 0. Let y(v) = m*w(v) + 4*n(v). Determine o, given that y(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -5\/4 (b) -264 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/23 in -4, 3, -1\/22, -13?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1522\nAnswer: -3\/1522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f + 176 + 1434 = 0. Let a = 455 + -318. Calculate the remainder when a is divided by f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -37. Suppose -5*x + 8 = -z. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18686039 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i - 13. Let f(y) = 8*y - 13. Let z(v) = 5*f(v) - 6*o(v). Let l be z(7). Let j be 4 + -19 + l + 4. Put j, 3, 1 in decreasing order.\nAnswer: 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 h when three letters picked without replacement from ffkhkfuuuuxhkuuuf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 66 = -3*m, 4*m = -3*i - 36 + 99. Suppose 2*u - i = -3*r + 6*r, -3*r - 49 = -5*u. Solve 0 = -3*c - u - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 363 - 133 = 0. Is 36 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3148363?\nAnswer: 757, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6*v - 30. Let j(w) = -w - 3. Let c be j(-6). Is 2\/(4\/c*v\/5884) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*w - 1 + 8 = 0, 2*w + 58 = 5*a. Let i(f) = f**2 + f. Let p(d) = -19*d**2 + 16*d + 0*d - 4*d**3 + 7*d**2 - 14*d - 14*d. What is a*i(x) + p(x)?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/15 - 5*y**2. Let s(r) = -2*r. Determine s(p(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17430 - -17469. Let z = 3 + 0. Suppose r - 17 = -z*u + 14, 0 = 2*r + 2*u - 74. Which is smaller: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-45) + 2)\/(2\/40). What is the remainder when 1*2565\/l + (-1)\/4 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(153) - 2*sqrt(153)))\/(sqrt(225)*1) + -1.\nAnswer: -sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m**(-5\/9)*m)\/m))\/m)\/(m\/m**(-15)) assuming m is positive.\nAnswer: m**(-148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -301, -3 in descending order.\nAnswer: 3, -3, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v - 6. Let y(g) = -1. Let t(i) = -2*w(i) + 12*y(i). What is t(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 5*y**3 + y**3)*(2 + 2*y - 2) - 5*y**4 + y**4 + 2*y**4.\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/55 + 172\/22.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73327 - 43691. Let k be 1*2\/9 - c\/279. Let q = k + 180. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 22. Which is the nearest to -1? (a) 0 (b) 3\/8 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k*k*k**(10\/7))\/k)))\/k)**(-25\/4)*(k\/k**(3\/4))\/k**18 assuming k is positive.\nAnswer: k**(-747\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.339 - -0.039. Let b = 2.1 + s. Let r = 4.241 + b. What is r rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w. Let i(h) be the first derivative of 158*h**3\/3 + 1421. Give t(i(c)).\nAnswer: 474*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-3 + -4 + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1189161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**3 + 657*t**3 + 147*t**3 + 151*t**3.\nAnswer: 937*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 38.3732\nAnswer: 11.51196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2163734512.\nAnswer: 2, 135233407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 - 124. Let m be 1*(1780\/(-8) - (-2)\/v). Let i = m + 466. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 6. Factor s*n**3 - 6*n**2 - 4*n**2 + n**2.\nAnswer: 3*n**2*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476.6814l in millilitres?\nAnswer: 476681.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-45) - (-6)\/120?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 569576509, 569576510, 569576511, 569576512, 569576513, 569576514?\nAnswer: 569576515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 + 10*m**2 - 7*m. Calculate the least common multiple of b(4) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 364 + -347. What is the remainder when ((-1)\/2)\/(3\/(-402)) is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 302 + -302. Suppose w = 4*a - 2*p - 10, 5 = 5*a - 4*p - 0*p. Solve 0 = -4*q - a + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*s + 3 = -2*s, 3*s - 3 = -2*d. Suppose d = 2*x - 779 - 147. Suppose -q + n - 3*n = -109, -4*q + n = -x. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + o. Let s = 11 - 11. Let w be c(s). Solve g + 3*g - 8 = w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -0.045.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1531*x - 73593 - 18267 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -525, -648, -765, -876, -981, -1080, -1173?\nAnswer: -1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**5\/12 + 25*o**4\/24 - 5*o**3 + o**2 - 36. Determine v so that b(v) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29762784719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23705674061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 9822747?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 24*o = 36 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -116, -2\/13, -0.0137?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 34*h - 73. Let q be z(19). Suppose -j + q*j - 30 = 2*s, 2*s = -2*j + 34. Solve -j = v - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 7*k + 126. Suppose 3*p = 8*p - 350. What is the lowest common multiple of q(14) and p?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -209*f - 8*f**4 + 2*f**2 + 209*f wrt f?\nAnswer: -192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -11. Let x be 2\/(-9) - 200\/(-9). What is the remainder when (3 - 2) + (x - 1) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141194 and 253332?\nAnswer: 78786252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.7 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1249, -2 in ascending order.\nAnswer: -1249, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3619528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 228\/(-84) + (-2)\/7. Let a be (-56)\/(-21) + 2\/t. Let c(z) = z**3 + 11*z**2 + 9*z - 10. Let b be c(-10). Solve -a*s - 8 + 0 = b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/9)\/((-27065)\/(-1656378))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 8:29 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6732*k - 148547. Give y(22).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282429, -282427, -282425?\nAnswer: -282423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 6. Let m be w(5). Suppose f + 20*f = 210. What is the smallest common multiple of m*2*(-1)\/2 and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10583 + 126913\/12. Find the common denominator of -5 + (-67)\/(-13) - 361\/234 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 15*k**2\/2 + 220*k + 136. Calculate the least common multiple of 288 and u(-14).\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 124\/9*(-11 - 310\/(-20)). Suppose -14*g + v*g - 36000 = 0. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10368 + 4\/9*l**3 - 856\/9*l**2 + 4992*l.\nAnswer: 4*(l - 108)**2*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h - 39 + h + 2*h - 8*h as m + v*h and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2626 * -1.\nAnswer: 2626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 1. Suppose 0 = 6*d - 0 - 30. Let x(f) = 2 - d*f**2 + 10*f**2 - 2*f**2. Suppose -j = -o - 2*o + 11, 3*o - 13 = 2*j. What is j*n(c) + x(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 54 = -3*f. Let d be (2 + 1 + -2)*2. Suppose -d*x = x - 60. What is the lowest common multiple of x and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from titjt. What is prob of sequence tt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6275211 bigger than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.954638nm in kilometers?\nAnswer: 0.000000000009954638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*n - n - 596, -5*a + 4*n = 745. Suppose 80 = -4*q + 912. Let l = q + a. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(1200) + 3*sqrt(1200))*-1 + -3.\nAnswer: -3 - sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(-3\/10)\/(h**21*h**8*h))**(-11) assuming h is positive.\nAnswer: h**(1683\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) + -1*63\/(-27). Solve 2*f - 8*g = -d*g + 9, 3*f + 3*g - 3 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11045470 divided by -7?\nAnswer: -11045470\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 5. Let c = l + -15. What is the remainder when ((-10)\/c)\/((-2)\/(-111)) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12097*x + 555. Is a(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/(sqrt(3)*3).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -9. Let f be c*(3 + (-14)\/4). Let y = 39 + -35. Sort y, -2, f in descending order.\nAnswer: y, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000102102210 - -12210?\nAnswer: 2000102122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 6 = -3*k, 18*k - 2 = 3*m + 13*k for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4971618 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - 0.8. Let h = 20 + -18. Let r = h - 2.5. What is the third smallest value in r, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6956 and 339372806?\nAnswer: 3478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i**5\/7 + 398*i**4\/7 + 2560*i**3\/7 + 3800*i**2\/7 = 0. Calculate i.\nAnswer: -10, -19\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 91800, 367107, 825932, 1468281, 2294160, 3303575, 4496532?\n\"Answer: w**3 + 91753*w**2 + 41*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -9, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19039.8 - 19038.410545. Let c = s + -1.39. Round c to 5 dps.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 417 - (-3 + -2) - 3. Suppose -9*a = -p - 418. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 1:16 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 43131 = -4*f - 47275, 4*f = -3*g - 90402. What is f rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65097254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16)*3)\/((-9)\/2)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/126? (a) -5 (b) -0.5 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-76))\/(12\/32). Let d = -12\/95 + u. Let o = -9 + 6. Which is the nearest to 1\/4? (a) d (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/(-9))\/(-4))\/((330\/(-9))\/(-11))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1558 + -1961. Is r not equal to 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187525319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226118 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3480\/(-812))\/((-7272)\/707)\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8934, -16389, -23842, -31293, -38742, -46189?\nAnswer: -53634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-9)*(-24)\/(-32).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-732)\/549)\/((-5)\/(-3)*2\/35)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -284, -354, -424?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1)\/r*r\/(r\/r**15)*r)\/(r**(2\/27))**(-4\/3))**(-6) assuming r is positive.\nAnswer: r**(-2446\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1478 - 600 + 200*b**3 - 878.\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 15*t - 204. Calculate the highest common factor of t and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 9\/25, 1 in ascending order.\nAnswer: 9\/25, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let t be 0 + 0\/2 + j. Suppose 0 = -3*r - 3*z + z + 15, t*z = r - 5. Sort 4, r, 2 in descending order.\nAnswer: r, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2496 - 2493. Factor -1\/2*p**m - 1\/2*p**2 + 1\/2*p + 1\/2.\nAnswer: -(p - 1)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2517 = 167*d + 1016 - 3475 - 2873 for d.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + 11 + -5 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 + 79. Suppose -g - 4*k + 578 = m, 3*g - 1551 = -k + 238. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 1) + (-96)\/(-40). What is the smallest value in 1, m, 4, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144438912 is divided by 4753.\nAnswer: 4748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*l + 639769 + 1240241 = 0, -2350005 = -5*d + l. What is d rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25840, -50568, -75296, -100024?\nAnswer: -124752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s + 36. Give i(-22).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 5*b - 19. Let y(v) = v - 1. Give -o(f) - 5*y(f).\nAnswer: f**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(13)*-3 + 4)**2.\nAnswer: -6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z + 1. Is i(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0344559854 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 26*v**3 + 2*v**2 - 9*v + 620. Is t(33) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2018994 or 2019002?\nAnswer: 2018994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**2*l)**(5\/6)\/((l\/(l*l**3))\/(l\/(l\/(l*l**(1\/4)*l)))) assuming l is positive.\nAnswer: l**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 79 (b) -3\/7 (c) 0.1 (d) 0.4 (e) -4\/5 (f) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -567.\nAnswer: -1\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1654551 + -8220351. Round r to the nearest one hundred thousand.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132028341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*m**2\/23 + 219244*m\/23 + 87696\/23.\nAnswer: 2*(m + 21924)*(5*m + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2147 (base 14) to base 7\nAnswer: 22520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 1 = 5*z, -2*s - 66140 = -z - 66145 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2243*c**3 + 14*c**2 - 481*c + 481*c - 15*c**2.\nAnswer: 2243*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*u - 204 = -32. Let o(b) = -2*b - 6. Calculate o(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, -1575, -3541, -6273, -9759, -13987?\nAnswer: -18945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.39 and 272.\nAnswer: 106.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6 - 78. Suppose 390 = -3*s + y. What is the common denominator of s\/(-6) + (-6)\/9 and -44\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 246 + -259. Let b be (-2)\/u + (630\/(-312))\/(-21). Is -53 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1)*-1*(-4)\/(-28).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*sqrt(432) - sqrt(432))**2.\nAnswer: 27648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unx when three letters picked without replacement from {z: 1, k: 3, x: 1, u: 5, n: 1}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18347659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8010764 millilitres to litres.\nAnswer: 0.0008010764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.44 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0533 in 4\/5, -0.9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/8)\/((-1)\/4) + (45963 - 1209) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + y**2 - 5*y**2)*(763*y**2 + 154*y - 5 - 625*y - 1509*y**2 + 740*y**2).\nAnswer: 12*y**4 + 942*y**3 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3298882 - -2?\nAnswer: -3298880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Solve -a*o - 3*g - 3 = 0, 0*g - 3*g = 5*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/6)\/(-5)*4294\/(-76).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7450 is divided by 257?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1682, 1681, 1680, 1679, 1678?\n\"Answer: -j + 1683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 10*u**2 - 17*u - 18. Let r be b(-11). Suppose -46*h = -r*h + 28. Suppose 3*f - h = 25. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -176957, -177072, -177263, -177530, -177873, -178292?\n\"Answer: -38*w**2 - w - 176918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2. Let x(q) = 22 + 14 + 40*q**2 - 36. Determine x(i(y)).\nAnswer: 160*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -597, -587, -595, -639, -737, -907, -1167?\n\"Answer: -3*t**3 + 9*t**2 + 4*t - 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 3*l + 4. Let g(n) = 54 + 2*n**2 - n - 3*n**2 - 53. What is -5*g(i) + t(i)?\nAnswer: 3*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2091 is divided by 45.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39404, -39405, -39406, -39407, -39408?\nAnswer: -39409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2008773*q**3 + 229*q**2 + 267950.\nAnswer: -12052638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 469*h + 103. Let j(z) = z**2 + 470*z + 93. Let c(r) = -5*d(r) + 6*j(r). What is the derivative of c(s) wrt s?\nAnswer: 2*s + 475","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxlwzlxxlxxxwxxl. What is prob of sequence lwlz?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, 0.2, -1178195?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 11. Let u(o) = 3*o + 8. What are the prime factors of u(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/23 (b) 0.3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3\/5)*s)\/s)**(-25\/4)\/(s**(-6))**(-29) assuming s is positive.\nAnswer: s**(-353\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41559 is divided by 20576?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-seven quarters of a decade?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40211354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36799128*h**2 + 51397741*h.\nAnswer: -73598256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 177594*t*x - 296435*x wrt t?\nAnswer: 177594*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10\/36*(-39)\/13*2\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 2241?\nAnswer: 15687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-35)\/(-20)*4 + 5. Suppose x*s - 1089 = 3*s. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 57*k - 68 = 60*k, 4*b + 3*k = 76. Let g = 1 - -1. Solve -2*m - g*z + 14 = 0, 4*m - b = z - 2*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842077409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -6*m + 3*m. Suppose 7 = g - r, 3*g + 2*r - m = 6*r. Let i = -183 + 218. Calculate the remainder when i is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-195)\/(-52))\/(-15))\/((-10)\/16).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.415*-0.9.\nAnswer: 0.3735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 9*h + 4. Let d(p) = 2*p**2 + 3*p**2 - 7*p**2 + 4*p**2 - 10*p - 5. What is 3*b(x) + 2*d(x)?\nAnswer: -2*x**2 + 7*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -1. Let c = b + -76\/3. Let g = -0.054 + 1.654. Which is greater: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-280) + 1296\/630 + -2)\/4. Solve 0*s**3 + 1\/5*s**5 + 0*s + 0*s**4 + 0 + w*s**2 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 323009746.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -4 - (153 - 151)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/9*171\/6. Let i = l - 48. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t - 22*t + 61*t - 10*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(1*(2 + -3)). Is (-7)\/(0 - (-1)\/g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**2 + y**2)*(-4*y - y + 2*y + 4*y - 5*y + 0*y + 4 - 4 + 2*y + (-3*y + 4*y + y)*(-3 + 4 + 1)).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -h - 4, 2*h - 13 = 3*i - 11. Find the third derivative of -30*d**3 + 88*d**i - 5*d**3 - 207*d**2 wrt d.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-5)\/(-4)*-4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*z - 2. Let o be ((-2)\/z)\/(42\/6237). Suppose o = -c + 4*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.4179 - 477942.4179. Let r = w + 477919.9599834. Let i = r - -0.04. Round i to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 85.581, -1, -3, -13 in descending order.\nAnswer: 85.581, -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 566474 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:44 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 170*j**2 + 165*j - 257. Determine i(-84).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*o = 0, -7*o + 4*o = -2*h - 3. Solve 2*t - 5 = h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55048 - 55048.00297513. What is s rounded to five decimal places?\nAnswer: -0.00298","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 12:08 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12359757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnuvnnvunnvnunnnvun. What is prob of sequence unu?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 229 by -258.\nAnswer: -229\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 2*p**2 + 7*p - 7*p + (0*p**4 + p**4 - 2*p**4)*(3*p - 5*p + 4*p).\nAnswer: -4*p**5 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 90 = 10. Suppose -3*g - 86 - 10 = 0. What is the remainder when 63 is divided by a\/2*g\/10?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/11376288 and 155\/91476?\nAnswer: 125139168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -140, -2\/15, -882?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 632373*v + 80638 with respect to v.\nAnswer: 632373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 484 = -3*w, -2*v - 148 = -3*w + 2*w. Is 39 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 93765, 93763, 93751, 93723, 93673, 93595, 93483?\n\"Answer: -r**3 + r**2 + 2*r + 93763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/99180 and -91\/74385.\nAnswer: 297540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235, 473, 713, 955?\nAnswer: 1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 264 + 256. Let v(a) = -6*a**2 + 13*a + 2. Let d be v(i). Solve f + f + d*m + 4 = 0, f - m = -5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/9)\/(0 + (-2)\/3). Let j be (-5)\/m + 6\/(-6). Let f = -2 + 8. Solve -2*l = -j + f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s. Let v(q) be the first derivative of 3*q**2 - 226. Determine j(v(i)).\nAnswer: -60*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 + 0 = 0. Let s be (1*2)\/(1 - 0). Is f < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112011 - -112321220?\nAnswer: 112203203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8463 divide 4167147348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -18 - 9 + 35 - 9 + 142*k**2 - 11*k. Is x(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + p**2)*(-37 + 3 - 51)*(-3 + 4 - 3 - 2 + 3 - 2 + (1 + 2 - 1)*(1 - 3 + 3) - 1 + 3 + 0 + 2 + 2 - 2).\nAnswer: -255*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3914758577?\nAnswer: 239, 3967, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 36 - 16. Suppose 0 = -x*o + o + 174. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19199648411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4606*c + 215212. Calculate s(47).\nAnswer: -1270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 - 2*k**2 + 3*k + 3. Let u be v(-2). Let i(s) = -8*s - 3. Let o be i(-6). What is the common denominator of 6\/(-2)*u\/o and -53\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 - 1068204682.\nAnswer: -1068204670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82836 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448) - -1*-2*sqrt(448)) + sqrt(448) + sqrt(448) - (sqrt(448) - (sqrt(448) + (sqrt(448) - 1*sqrt(448)*1))))*1)\/((-1*sqrt(392))\/(1*sqrt(242))).\nAnswer: -44*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -2\/3*y**3 + 1\/6*y**4 + 0 + y**2 + y. Give a(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51394 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, f: 1, t: 3, v: 1}. Give prob of sequence tfr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-23)*i*i*i\/i**2*(i**(-10\/7)*i)\/(i*i*i\/i**(-3\/11)*i) assuming i is positive.\nAnswer: i**(-2056\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(125) + 2)*5 + ((sqrt(125) - -1*sqrt(125)) + 1)*6)**2.\nAnswer: 1120*sqrt(5) + 6381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6 + 29 + 15 + 13 - y - 15. What is p(21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*s*x + 18682*a*s + 9812*a*x - 2*a + 2*s - 8*x - 16 with respect to x.\nAnswer: -2*a*s + 9812*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.7 and -2.\nAnswer: -31.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.91 + -3.09. Sort -3, 2\/7, 0.5, u in descending order.\nAnswer: 0.5, 2\/7, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4))\/(q\/(q\/((q\/(q**(-1\/9)\/q))\/q))))**(16\/3)\/(((q**1*q)\/q)**10\/(((q*q*q\/(q**(3\/4)\/q))\/q)\/q**2)) assuming q is positive.\nAnswer: q**(-3421\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -23. Suppose j = 980*w - 985*w - 1245. Which is smaller: -248 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84090\/17 - 4948. Is -1 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -1\/5*h**5 + 0*h + h**4 + h**2 - 5\/3*h**3 + 2. Factor o(r).\nAnswer: -r*(r - 2)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 7*o - 30. Let k(p) = -p**2 + 5*p + 29. Give -4*k(d) - 3*w(d).\nAnswer: -2*d**2 + d - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q**2 + 2*q**2 + 2*q**2)*(-3*q + 2*q - q)*(3*q - q + 0*q).\nAnswer: -8*q**4 - 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014184175848 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9672, -19262, -28854, -38448, -48044?\n\"Answer: -w**2 - 9587*w - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from yky?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148\/145 - 18\/29. Is -13 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 3*q**2 - 2*q - 7. Determine k(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 13 - (2 + 7). Solve 225 = p*d + 221 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 77*p + 53*p = 228, 3*p + 15 = -3*u. Suppose 0*f = -3*f + 12. Solve 5*g = 5*z + 25, 0*z = -f*z - 4*g + u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3 = -5. Let c be (-12 - -6)*s\/3. Let f = c - -15. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1306043, -5224227, -11754547, -20897003?\n\"Answer: -1306068*b**2 + 20*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 7. Let s be r(4). Suppose 0 = -s*o + o + 8. Suppose 2*c - 765 = -3*c - 2*d, 0 = 3*c + o*d - 473. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3725, 7424, 11135, 14864, 18617, 22400, 26219?\n\"Answer: g**3 + 3692*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/376 and -101\/231068544.\nAnswer: 231068544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*k**3 + 3*k**3 - 40*k**3 + 3 - 4*k**3 - 4*k**4 - 2 - k**2 to the form j*k + u*k**4 + g*k**3 + v*k**2 + y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010417 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from {o: 4, e: 1, n: 2, i: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01746 and -0.3.\nAnswer: 0.005238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 157 (base 13) to base 6\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -q + 3*h, -q + h + 8 = 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -6405?\nAnswer: 25620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -11\/5 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - -42. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -625556.9988 - -625677. Let u = r + -120. Round u to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*k**6 + 3751*k**3 + 339090*k**2?\nAnswer: 4320*k**3 + 22506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(8208) - (sqrt(228) + sqrt(228)*-2 + sqrt(57)))\/(-1*sqrt(4800)))**2.\nAnswer: 475\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129 + 141.5. Let x = 14.5 - q. What is the biggest value in x, -5, 4\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(sqrt(504)*-1 - sqrt(14))\/((-2*sqrt(10))\/sqrt(5) - sqrt(2)).\nAnswer: 3 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -17. Suppose l = -4*o + 94. What is the remainder when 29 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**3 + 29*z**2 - 5*z - 2. Let o be n(-6). Is o > -28\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-56)\/296) - 4\/14. Solve 0 = t*l - 0 + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l**2 + 5*l + 4. Suppose 3*i - 4 - 14 = 0. Let h(n) = -8*n**2 - 6*n - 5. Let b(j) = i*t(j) + 5*h(j). What is the first derivative of b(x) wrt x?\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -33, -62, -103, -156, -221?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5)*p**(1\/6)*p)\/(p**10*p**(-1)\/p))**(-47) assuming p is positive.\nAnswer: p**(9071\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 2:50 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((-8)\/(-24))*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 38969. Let m(b) = 14*b**2. Determine h(m(j)).\nAnswer: -28*j**2 + 38969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 289 and 277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(714\/140))\/(4\/21)*(-30)\/25.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4453437977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z - 2 - 6 - 4.\nAnswer: -8*z - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2634.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*l + 17*l - 8*l to the form u + r*l and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -68214758, 1, -3 in descending order.\nAnswer: 1, -3, -68214758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129788351 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**4 - 157*y**2 - 1740*y - 3.\nAnswer: -12*y**2 - 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 21*x**2 + 9*x + 15. Let w be r(10). Calculate the remainder when w - -155 - (-2 + -1) is divided by (41*1)\/(-14 - -15).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5572, 6355, 7602, 9313, 11488, 14127, 17230?\n\"Answer: 232*l**2 + 87*l + 5253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -46*i - 882 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 17*f + 2. Let k = -259 + 242. Give i(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 157, -8, 1 in descending order.\nAnswer: 157, 5, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -2 - (1 + (-8 - 0)) - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 h, and 2 r when four letters picked without replacement from {d: 2, h: 1, c: 8, r: 4}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126033727?\nAnswer: 126033727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 29, -1\/4, -0.4, 2?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550) + sqrt(550) + (sqrt(550) - (sqrt(550) + 2*sqrt(550)) - sqrt(550)) - sqrt(550))\/sqrt(10))\/(4*sqrt(275) - sqrt(275)).\nAnswer: -2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1892080?\nAnswer: 2, 5, 67, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + -66 + 118 + 14.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.47.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 17 + 21*o**2 - 52*o**2 + 10 + 5 + 11.\nAnswer: -31*o**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/20*30\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, l: 4, y: 4, i: 2, o: 1, t: 1}. What is prob of picking 1 l, 1 o, and 1 x?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b**2 - 7*b - 136. Let l be n(-11). Round l to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + a**2 + 13*a - 20. Let n be j(-8). Suppose -4*k = -4*p - n, -2*p - 2*k - 214 = -0*p. Let b = 171 + p. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/(-10)*45\/(-81). Is 1 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {f: 1, d: 1, e: 1, b: 2, u: 1, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2353368 rounded to three dps?\nAnswer: -0.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {t: 2, z: 8, a: 2, l: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - 2 - (-1 - 7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 + (6 - (-2 - -4)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220211220 - -211?\nAnswer: 10220212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 11*q**2 + 111*q + 1246. What are the prime factors of s(-38)?\nAnswer: 2, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/6847846 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 110, 1003, 3536, 8561, 16930, 29495, 47108?\n\"Answer: 142*n**3 - 32*n**2 - 5*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 10*w**2 + 11*w + 6. List the prime factors of z(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-14)\/147*6013*-48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - n = 3*j + 14, 3*n + 6 = 0. Let o be j\/(-48)*2\/4. Which is the smallest value? (a) o (b) -4 (c) -5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*d**4 + 462073*d**3 - d**2 + 99246109*d.\nAnswer: 456*d**2 + 2772438*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 19 = -17*m. Let c(p) = -14*p**3 - p**2 + p + 1. Calculate c(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67756.00000166845 + -67756. Round c to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11088)\/(-2541) + 4\/(-11). Suppose 0*s = -s + 10. Let l(j) = 2*j - 6. Let w be l(4). Solve -w*m = -q*m - s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.12, 21 in ascending order.\nAnswer: 0.12, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001676286712 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*x + 5*x + 1821, 2*k - 2*x + 1842 = 0. Let c be ((-6)\/(-9))\/(3\/k*-4). Calculate the greatest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaza when four letters picked without replacement from zazzzzazazaaz.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*3\/3)\/((-18)\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41898603 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76105314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 5*p - p)*(0*p + 2*p - p)*(-p + 2*p + 5*p + (4*p - 3*p + 6*p)*(4 - 2 - 4) + 0*p + 3*p + 2*p) to f*p + a*p**3 + r*p**2 + g and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 j when four letters picked without replacement from xjvhjjijviv?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-21)\/(-3))\/(-7)*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 36.49. Let j = 0.56 + c. Let a = j + 1.27. Round a to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17, -38, -59?\n\"Answer: -21*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at least as big as -2\/623205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100)\/sqrt(4)*2.\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 338*w**2 - 12092*w - 22848.\nAnswer: -2*(w + 2)*(w + 48)*(w + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 7 + 3. Suppose a*u - 9 = 7. Suppose 0 = -3*m + u + 1. Is 1 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126031243?\nAnswer: 13, 745747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-16)*420\/63)\/(6\/(-4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Suppose 5*l + 5 = 2*p - 1, -3*p = f*l - 9. Suppose 5*k - 5*z - 215 = l, -k - 2*z - 131 = -4*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-20)*-5*-194. Let f = a + 438. What is the greatest common divisor of f and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387 + 379 = -2*u - 2*b, -2*b = 53*u - 110 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 + -19 - -57)*(85 - (-6)\/2).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 10*o - 14. Let r be a(-8). What is the greatest common divisor of 85 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45 + 2*s + 11*s + 45)*(-5*s + 5*s + s) in the form t*s**2 + l + r*s and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 3. Let j = 5 + -6. Let o be d(j). Suppose -o*c + c + 3*a = -36, -4*a + 104 = 5*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*v + v + 80. Let m(j) = j**3 + 34*j**2 + 62*j - 68. Let k be m(-32). Sort 4, -2, v, k.\nAnswer: k, -2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24863417 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12*(-4 + 292457\/132) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*z + 27*z + 2 + 31*z + 2 as t*z + i and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -12, -8, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 19428.8 to the nearest ten.\nAnswer: 19430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = h - 5*x - 2, 8 = 4*h + 2*x. What is the first derivative of 73*d**3 - 15 - 2*d**h + 4 - 107*d**3 wrt d?\nAnswer: -102*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-10))\/(20\/1500). Let q = -664\/5 - -3141\/20. What is the common denominator of q and (-483)\/b - (35\/25 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -15, 38, 161, 378, 713, 1190, 1833?\nAnswer: 2666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.475 - -0.375. Which is the fourth biggest value? (a) w (b) -1\/50 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 91*g**2 - 342*g - 3794. Determine r(95).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42280451 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y + 305 = 30*y. Let n be ((-42)\/(-4) + -1)\/((-3)\/(-18)). Let f = y - n. Solve l = -3*o - 14, 2*l = l + f*o + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 q, and 2 c when four letters picked without replacement from qcqecueiqeqhhu.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 0\/1 + -2. Suppose k - 27 = -2*a. Calculate the highest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2990 and 112645.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1886 is divided by 290?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/7))\/(d\/((d*d\/d**(2\/19))\/d)))\/(d\/d**(-4)*d**(2\/21)) assuming d is positive.\nAnswer: d**(-1562\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, 0, -1994, -3 in decreasing order.\nAnswer: 0, -3, -181, -1994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 406273*k**5 + 230125*k**2?\nAnswer: 24376380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1980\/924 + (-1)\/7. Solve -z*w - 4*v + 2 = -0*w, 3*w + 3*v = 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56.3542 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 1:32 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851926.\nAnswer: 2, 61, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1124\nAnswer: -1\/1124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f + 24 + 5 - 7 + (-3*f + 3*f - f)*(3 + 0 - 2) + 1 - 1 - 2*f in the form b*f + p and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 567187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 253936 - 1114681521\nAnswer: -1114427585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -22*m - 2. What is the units digit of d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 20*v**2 + 298*v - 53. Is l(-28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 6 - 6 - 2*f**2)*(-13*f + 105 - 105).\nAnswer: 26*f**3 - 26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*d + 131*d + 526*d + 703*d**5 wrt d.\nAnswer: 14060*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*h = 247*h. Solve 0 = -3*g + 3*c, 5*g + h*c = c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3886922?\nAnswer: 2, 13, 149497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10987 + 58022. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132560 (base 9) to base 5.\nAnswer: 10040044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 2977.267.\nAnswer: 44659.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 837756.5l in millilitres?\nAnswer: 837756500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:26 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -313 + 956. List the prime factors of j.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6587494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -30\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**2\/2 + d + 828. Suppose 3*o - 5*o = -h - 9, 4*h + 22 = o. Give q(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643113.2 centuries to months.\nAnswer: 771735840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f\/(f**(-19\/5)\/f))\/f*f)\/f))\/f**(-16) assuming f is positive.\nAnswer: f**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1721540000 to the nearest 1000000.\nAnswer: -1722000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530498 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/12 and 47\/152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 196*l**2. Let b(r) = 7*r**2 + 27*r. What is b(p(y))?\nAnswer: 268912*y**4 + 5292*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370620.\nAnswer: 2, 3, 5, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**5 - 96*q**4 + 922*q**3 + 7*q + 58641?\nAnswer: -60*q**3 - 1152*q**2 + 5532*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102344831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 185215 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 9 - 13*p + 6*p + 14*p as q + x*p and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/7*o**2 + 2\/7*o**3 - 113\/7*o - 52\/7.\nAnswer: (o - 13)*(o + 4)*(2*o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1 - 3 + y**2 - 2*y + 6 + 2. Let a be q(0). Suppose -a*c + 112 = -0*c. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 2*c**2 - 3. Let i be v(4). Let m = 80 - 31. Let f = m + i. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1250\/(-9500)*5*12\/(-150).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 11:50 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.29974 or -2\/7?\nAnswer: -0.29974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 14 = 34. What is the second smallest value in 9, z, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 0 (c) 32\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n. Let s(y) = -12 + 152*y + 2 + 8 + 51*y + 3. What is s(d(i))?\nAnswer: -1015*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -880186, -1760405, -2640706, -3521137, -4401746, -5282581, -6163690, -7045121?\nAnswer: -7926922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 5:56 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in -200, -1\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/9 and 155\/234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 2301 = -13*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 + 5*k**2 + 4*k - 1. Let w be o(5). Let v be (-4)\/26 - w\/(-26). Solve -4*z - v = -7*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 38. Let w be g(18). Let r = -55 + w. Let j(z) = 57*z + 3. Is j(r) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 14 = -t - l, -5*l = 4*t + 26. Let n be (-1 - t\/3)*12. Calculate the remainder when 38 is divided by (40 - 1)*n\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.626985 nanograms in tonnes?\nAnswer: 0.000000000000000626985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**4 - 358*w**3 + 2034*w?\nAnswer: -12*w**2 - 2148*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4210\/9 - 468. Which is the nearest to -0.1? (a) -0.4 (b) -1.15 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from {u: 2, l: 4, g: 1, c: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 563, 1363, 2367, 3575?\n\"Answer: 102*n**2 + 494*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 10*g - 45 = 15*g, -3*s - 5*g + 5 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -662, -5365, -18144, -43037, -84082, -145317, -230780?\nAnswer: -344509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 221207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4854.873ml?\nAnswer: 4.854873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11*o - 15. Let w(z) = -5*z + 7. Let j(y) = 6*r(y) + 13*w(y). Let m(g) = -12*g - 12. What is 22*j(l) + 2*m(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 15549815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3004 + 3?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.5 - -15. Round s to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 23*m**2 - 126*m - 7. Give x(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-3)\/(-1) - -3. Let n(k) = -k + 3 + l*k - 2*k - 5*k + 3*k**3 - k**2. Let t be n(3). Calculate the greatest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*r + 297*r = 125*r - 258 - 750 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Express 56*q - 220 + 109 + 111 as g*q + c and give g.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-17)\/85)\/(2\/8110). Let s = 860 + j. Calculate the greatest common divisor of 784 and s.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + f**2 - 5*f - 12. Let r be h(-2). Suppose r*z - 22 = 38. Solve 2 = x + z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c + 186 = -9*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {o: 3, v: 2, p: 1, j: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 2*k + 4. Determine f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 11. Let o(p) be the second derivative of p**4\/4 - 8*p**3\/3 + 6*p**2 + 3*p - 2. Calculate the remainder when s is divided by o(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.052 - 4.051992088. Round g to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-5)*(-75)\/10. Calculate the highest common divisor of 18 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244130 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 23321212505?\nAnswer: 23321212503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 0*f - o + 5, -3*f - o - 23 = 0. Let p = f + 7. Suppose j - 6*j + 355 = p. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126312 divided by 42104\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*i + 731 + 269 = -1716 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j + 11. Let p be c(2). Put p, -1, -5, -4\/7 in decreasing order.\nAnswer: p, -4\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -3 - q + 0*q**3 + q - 2*q**3. Let h(b) = -b**2. Calculate h(y(o)).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 15 = 5*o, -3*j + 3*o = o - 6. Let v(h) = h + 3. Let d be v(j). Suppose -w + 3*w = d*a - 417, -4*a + 4*w = -552. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254352.\nAnswer: 2, 3, 7, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-25))\/((-9)\/(-5))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6290037 centimeters?\nAnswer: 0.006290037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1983104)\/(-320) + 2\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1564 and 1005584?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(132)*-1 - 4*(-1*sqrt(132) - sqrt(132))))\/(-1*sqrt(48)\/(sqrt(108)\/sqrt(3))).\nAnswer: 81*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -424, -836, -1248, -1660, -2072, -2484?\n\"Answer: -412*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 5:07 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5*4\/70 - (-18)\/(-14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 8) + -13 - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0174 - -0.017400223. Round k to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2. Let d(u) = 19*u. Calculate h(d(z)).\nAnswer: 722*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1\/2456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 27411959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - 0 - 3\/(60\/94) and 19\/41.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**3 + 199900*x**2 - 4399615*x + 24201210 = 0.\nAnswer: -40002, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3990 - -3989.6. What is the smallest value in 1, 0.52, 7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4375 = j - 5*s - 4423, 7*j = 4*s + 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, o: 5, k: 1}. Give prob of sequence okpo.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 v, and 1 m when three letters picked without replacement from vuuuuuumuuu?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 6. Let t(v) = -v - 8. Let m(y) = 4*c(y) + 3*t(y). Let b(u) = -21*u + 3. Calculate m(b(n)).\nAnswer: -21*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 6:21 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -128 in 0, 0.3, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*t - 6237812*a**2 + 2*a*t - 3*a - 82956597*t wrt a.\nAnswer: -4*a*t - 12475624*a + 2*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/24 + 6\/40. Let p = -76 + 381\/5. Which is the second smallest value? (a) p (b) -2 (c) u (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 33898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a**2. Let s be (-4 - (-13)\/3)*6 + 1. Let q(b) = -11*b**2 - 7*b. Let w(h) = -5*h**2 - 3*h. Let r(f) = s*q(f) - 7*w(f). What is l(r(y))?\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8729252, 8729233, 8729214, 8729195?\n\"Answer: -19*c + 8729271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1311 - 1201. Calculate the highest common divisor of z and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660027 to the power of 1\/2, to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3 = 9. Let k(r) = 2*r**2 - 6*r - 6. Let t(u) = -4*u**2 + 13*u + 13. Let j be 3\/(-2)*(-2 + (-352)\/(-33)). Give f*t(x) + j*k(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2\/9 + 1850*f\/3 - 22488 = 0?\nAnswer: -2811, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3*x**5 + 18614*a**3*x**4 + 9551*a**3*x**2 + 14*a**3 wrt x.\nAnswer: 240*a**3*x**2 + 446736*a**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 88 + -2?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/2 (b) 1054 (c) 0.4 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 16*z**2 - 41*z + 7. Let r(b) = -11 + 9 - 3*b**2 + 10*b - b**2. Suppose 5*h - 3*h - 18 = 0. Let i(c) = h*r(c) + 2*f(c). Factor i(q).\nAnswer: -4*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3982 and 25702.\nAnswer: 282722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y**5\/5 + 16221*y**4\/5 - 5348328*y**3\/5 - 90115824*y**2\/5 - 76301568*y - 89828352\/5 = 0.\nAnswer: -8, -1\/4, 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/9*6)\/(2\/12). Suppose 0*z + 5*b + 6 = 2*z, -u*b = z - 3. Suppose -11*a + 1664 = -z*a. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s + 2. Let c be n(-2). Let z = 0.017 + 0.723. Let p = 0.64 - z. Put -1\/2, p, 0.5, c in increasing order.\nAnswer: c, -1\/2, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 7*j - 60. Let f be z(-12). Suppose -36 = -6*m - f. What is the least common multiple of 69 and m?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -58. Does 20 divide (-2)\/p - 291927\/(-292)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + m**2 + 1)*(4 + 3 - 5)*(0 - 1 + 0)*(4 - 7 - 3) to y + q*m + n*m**2 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 334\/12 + -3*1\/(-18) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 325, 319, 313, 307?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 7*c**8\/48 + c**7\/3 - c**6\/40 - c**5\/3 + c**4\/6 - 4*c**2. Factor t(r).\nAnswer: r*(r + 1)**2*(7*r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69355855 a multiple of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 9:59 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 4*c - 1834 + 1716 = 0, -6 = 3*q + 15*c for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17450170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305045*f**4 + 190955700*f**3 + 192809430*f**2 + 1551820*f + 3135 = 0 for f.\nAnswer: -1, -1\/247, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 9 = -t. Suppose 0 = 2*m + t*p - 136, 386 = -2*m + 7*m + p. What is the third derivative of 14*h**5 - m + 10*h**2 + h**5 + 78 wrt h?\nAnswer: 900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12495?\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddqdqdddeddddeedd. What is prob of picking 1 q and 2 e?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6289 times -19?\nAnswer: 119491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*40\/(-2)*(-18)\/72?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c - 18*c - 16*c + 84*c - 22*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34261509829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 - 236785*c**3*s + 3668*c*s + c - s wrt c.\nAnswer: 20*c**3 - 1420710*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, r: 1, t: 1, a: 3, g: 3}. Give prob of picking 3 g and 1 a.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 881176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -486 - -699. Let f(p) = -29*p - 7. Let u be f(4). Let b = a + u. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + o = -o - 24, -5*d - 4*o + 30 = 0. Suppose 0 + d = 3*v. Suppose 2*w = v*c - 1 + 31, -3*c - 59 = -4*w. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**6\/120 + q**5\/15 + 5*q**4\/24 - q**3 - 5*q**2. Calculate the remainder when 26 is divided by r(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 3. Let i = -625018 + 625018. Let t = -0.1 + 0.3. Which is the fourth smallest value? (a) g (b) i (c) t (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/495)\/((-18)\/(-60))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9156 by 4.\nAnswer: 2289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5262 - 11*n**2 - 54*n + 6*n + 30*n + 18*n + 5262.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 77*s**6\/60 - s**4\/24 + 433*s**3 + 3*s**2 + 972. What is the derivative of i(g) wrt g?\nAnswer: 462*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21000212 (base 3) to base 5\nAnswer: -131001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30\/7? (a) -0.3 (b) 0.2 (c) -0.5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6959?\nAnswer: 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 16*o - 12. Let w be h(-16). Let z(v) = -v**3 - 14*v**2 - 24*v + 6. Let p be z(w). Is p greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Let b be ((4 - h) + 6)\/2. Suppose -2*d - 2*m = m - 15, 5*d - 4*m = 49. Solve u - d = b*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 1\/34 (c) 13.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 3\/(((-108)\/8)\/9). Let m be ((-10)\/s)\/(-5 - (-120)\/27). Let h(l) = 2*l + 1. What is h(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -j + 4*v + 12646, -j + 3*v = -12646. Let a = 227545\/18 - j. What is the common denominator of a and -13\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -39?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6)*(2 + 1). Let r = -3 + d. Let o = r - -5. What is the remainder when 3 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Calculate the remainder when 6 + ((-4)\/(-12))\/((-6)\/36) is divided by (2 - g) + (-1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -8453.\nAnswer: 11\/8453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z. Let s be l(-2). Let f be 30\/(-9)*6\/(-4). Find the third derivative of k**s - k**4 - 2*k**f + k**4 wrt k.\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*v + 4, 2*c + 6 = -c - 3*v. Is 34 a factor of (c\/(-3) - 4) + 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 0)*(-2 + 3). Suppose 2*y + 4*f + 5 = 1, 3*f + 12 = 3*y. Suppose 0 = y*g - 10, -5*z + 4*g - 10 = 5*g. Sort z, 2, l in ascending order.\nAnswer: z, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/12)*y**(2\/9))**10 assuming y is positive.\nAnswer: y**(25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2715 + 4971. Let j be z\/15 + (-6)\/15. What is the greatest common factor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/20 - (-808)\/(-280) - -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b**2 - 113636*b + 113635*b - 6*b**2.\nAnswer: -39*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tccvcctcctttttctvc. Give prob of picking 2 v and 1 t.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(57)*-5 + (sqrt(456) - (-2*sqrt(456) + sqrt(456)))\/sqrt(8))\/(1*sqrt(3)*-6*6) + 2.\nAnswer: -2 + 2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 184 = 4*b. Let s(r) = 2*r**2 - 5*r + 4. Let d be s(6). Let i = b - d. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1.5. Let m = u - 1. What is the third biggest value in 1, 3\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7*20.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 8:36 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*w + 269*w - 29382 + 7737 = -433*w for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(10\/3)*z*z**(2\/11)\/z)\/(z*z**(11\/3)*z**(-1\/6)*z) assuming z is positive.\nAnswer: z**(-505\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56013 is divided by 2662.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 8*z + 8. Let h be y(7). Suppose 1322 - 194 = -2*a - o, o = a + 564. Let w = -23126\/41 - a. Is h < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f + 217 = 470 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-208)*(-182)\/28?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Let a = -3 - -5. Let c(x) = x**d - 2*x**a - 4 + 0*x**2 + 6*x. Calculate c(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232868 divided by -95\nAnswer: -232868\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1882465, -7529824, -16942087, -30119254?\n\"Answer: -1882452*z**2 - 3*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(5616) - sqrt(39))\/(sqrt(3) - (sqrt(3) + 4*sqrt(3))*3).\nAnswer: 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -28, -0.5, -355\/3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let w = -0.1 + u. Let o = -4 - -2. Which is the nearest to 2\/3? (a) o (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 556*a + 231852 + 1\/3*a**2 = 0. Calculate a.\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a + 33 = -30*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m - 20. Calculate the remainder when y(-9) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/12047 and 59\/8605?\nAnswer: 60235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-21)\/(-12))\/7 - 1479\/(-4). Let z = -164 + w. Does 30 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 3:45 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -y - 3*p, 0 = y - p - 2*p - 2. Suppose -2*q + 175 = -0*q + 5*s, -3*q + y*s = -250. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-2)\/(4\/1). Suppose -5*s + 0*s = -4*s. Suppose 2*f - 3*i = -7, s*i = f - i + 4. Put f, j, -4 in decreasing order.\nAnswer: j, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 9*z**2 + 21*z + 33. Let u be p(-11). What is the second derivative of 320*n**2 - 320*n**2 + 3*n**3 + u*n wrt n?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddgddgdggdd. Give prob of sequence ddg.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*b + 0)*(-33 - 395*b - 40 - 444*b + 73) in the form g + z*b + r*b**2 and give r.\nAnswer: -2517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*y**3 + 3*y**2 + 14*y**2 - 5*y**2 wrt y.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w**3 - 5*w**2 + 10*w + 191. Is c(-10) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**4\/60 - 19*q**3\/30 - 15*q**2 + 57*q - 10. Factor y(n).\nAnswer: (n - 25)*(n + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205 + -203. What is the nearest to 1\/4 in q, -2.1, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 58*w**5\/5 - 19*w**4\/2 + 2*w**3\/3 - 23*w**2 - 13*w - 3149. Find the second derivative of x(l) wrt l.\nAnswer: 696*l**2 - 228*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 14*y - 6. Let m be j(-12). Suppose 0 = 5*v - 7 - m. What is the remainder when 19 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 8. Let j = -7 - v. Let s = -0.5 - j. Which is the third biggest value? (a) s (b) 2 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 1 w when three letters picked without replacement from xsxwwxxawtawxa.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 2, q: 2, s: 6}. Give prob of sequence qdq.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 11:55 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3065 or 15810?\nAnswer: 15810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 + 9*k + 5. Let f be r(-4). Let w = f + 81. Solve 5*n + 5 = -3*u - 0*u, -5*u + 2 = -w*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147438752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -10*h**6\/3 + 5674*h**5 - 8059909*h**4\/3 + 4289544*h**3 - 2571912*h**2 + 549*h. Determine f, given that x(f) = 0.\nAnswer: 2\/5, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 16 (c) -22.92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 80, 165, 274, 401, 540?\n\"Answer: -m**3 + 21*m**2 - m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + -2.6. Let u = -544 + 543.7. What is the third smallest value in t, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*v**2 + 7361*v + 38178 = 0. Calculate v.\nAnswer: -1414\/325, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2. Let a(y) = 46562398*y - 3. Determine a(d(s)).\nAnswer: 139687194*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171 + -146 + 0 + -13 + (15 - 1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 1384720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**10\/336 - q**6\/30 + q**3\/6 + q**2. Let t(j) be the first derivative of l(j). What is the third derivative of t(d) wrt d?\nAnswer: -1800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3))**(-4\/13)\/(b**(3\/10)\/(b\/(b**(-9\/5)\/b))) assuming b is positive.\nAnswer: b**(107\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -35. Which is the smallest value? (a) 0.12 (b) t (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 2\/745, 0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdxxddpxsxdpsxxd. What is prob of picking 1 s, 2 x, and 1 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1 + (-13)\/1. Suppose 5*q + 14 - 154 = 0. Let x = a + q. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.297? (a) 0.21 (b) 0.4 (c) 4 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-30)\/45)\/((-4)\/42) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 176.63061 to two decimal places.\nAnswer: 176.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 491.2572 millilitres?\nAnswer: 0.4912572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 10*x - 32. What is the units digit of p(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 - 7*q + 5. Let o be s(5). Let f(y) = -y**2 + 9*y + 9. Let r be f(9). Let x = 29 - r. What is the greatest common factor of o and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2748*a**4 - 62519 wrt a.\nAnswer: 10992*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-8)\/(-12)*-3. Solve f - 32 = 4*y - g*f, -2*y = f + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 167 + 10?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/((-6)\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 11*l - 15*l)*(-2*l + 2*l + l + (-l + 3*l - 4*l)*(1 + 1 + 0) + 0 - l + 0).\nAnswer: 44*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.3 (c) -1\/3 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 126\/35 - 2\/(-5). Let l = 7 - -1. Suppose 20 - l = -4*a. Put v, a, 3 in decreasing order.\nAnswer: v, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 9 - 2*o + 2*o + 0. Let f be k(0). Let z(j) = 63*j**2 - 10*j - 13. Let w be z(f). Round w to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/17 + 2*f**4\/17 + 10*f**3\/17 + 6*f**2\/17 = 0. What is f?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65637 and 384774.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbyb. Give prob of picking 1 y and 2 b.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 10:28 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9912640 and 70.\nAnswer: 69388480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 0)*(12 + 977821*q + 44*q**2 - 977821*q).\nAnswer: -220*q**2 - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -3*d**4\/20 + d**3\/5 + 2. Factor n(s).\nAnswer: -3*s**2*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 1220*f**2 - 67452*f - 213444.\nAnswer: -4*(f - 231)*(f - 77)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -1\/6*m**4 + 0*m + 2*m**3 + 0 - 9*m**2 + 1\/60*m**5. List the prime factors of l(7).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**3 + 3*r**2 + 8*r + 131. Let x(j) = -22*j**3 - 13*j**2 - 34*j - 522. What is -13*i(d) - 3*x(d)?\nAnswer: d**3 - 2*d - 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 5*s + 1. Let i be v(-5). What is t in t**2 - 2*t + i + 0*t**2 + 0*t**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*c - 82*c = -115700. Suppose -5*g - 4*o = -c, 3*g - 18*o - 2781 = -19*o. Does 80 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 22 - 40) + -27 - 27\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 3*n + 3. Let r be v(-3). Suppose r*c = 14 + 52. Suppose 3*f + z - 185 = -z, -2*z - 10 = 0. What is the remainder when f is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2985\/25 - 130\/325. Solve -4*q = -111 + i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -219226*a**4*v - 22*a**3*v**3 - 2*a*v**3 - 82*a*v - 52*v**3 - v**2 + 3*v wrt a.\nAnswer: -2630712*a**2*v - 132*a*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.12 (b) -5 (c) 0.18 (d) -1\/12 (e) -7 (f) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**3*t + i**3 - 24*i**2 - 92*t - 1 with respect to i.\nAnswer: -6*i**2*t + 3*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 276905 < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 5*o**2 - o + 21. Let h(p) = -122*p + 5860. Let z be h(48). Determine s(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**3\/2 + 7*i**2 - 4484*i. Let u(b) = b**2 - 10*b + 9. Let w be u(8). Give y(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 386499.8 to the nearest one hundred.\nAnswer: 386500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j**2 - 151*j - 110. Calculate s(-23).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 1 + 1)*(-5*i + 3*i + i) - 20 + 2*i**2 + 20 + (-3 + 2*i + 3)*(0*i + 0*i + 2*i) + 4 - 4 - i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.7 - 0?\nAnswer: 151.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 6*o + 3. Suppose g = -2 + 7. Find the common denominator of a(g) and -71\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 12:27 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 + 5*p**3 - 1883*p + 943*p + 4*p**4 + 949*p to the form q*p + m*p**3 + h*p**4 + w*p**2 + y and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.013289576 + -0.06\nAnswer: -0.046710424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1741 - -8. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 1, -20, -3 in decreasing order.\nAnswer: 22, 1, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -28.3. Let g = -2509570.999945 - -2509543. Let t = g - d. Round t to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 21*k + 30*k + 2*k**2 + 11 in the form o*k**2 + f*k + r and give f.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 456*l + 13. Is p(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 84\/(-66) + (-2)\/(-2). Are -1 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9\/7, -323, 0.1?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 26. Let d(v) = 15*v**3 - v**2 - v + 1. What are the prime factors of d(u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13112700 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3))**(-28))**30 assuming a is positive.\nAnswer: a**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*s - 34 + 12, 62 = -5*c + 3*s. Let m be (17\/2)\/((-1)\/2). Let h = c - m. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111137*l**4 + 256*l**3 + 437*l**2 - 42225*l.\nAnswer: -2667288*l + 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Suppose 2*i + 15 = -5*b, 2*i + s*b + 12 + 0 = 0. Let z = 0.084 - 0.184. What is the nearest to z in i, -0.1, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -14. Suppose -a*x - 5*q = -75, 0*x - x = 3*q - 35. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 11*k + 23. Let u be a(13). Let t = u + -47. Suppose -2\/3*r**t + 0 + 2\/3*r = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 + 16 + 2*q**4 - q**4 - 2*q**2 + 441109*q + 12 - 441108*q + 0 to o*q**2 + u + t*q + x*q**4 + s*q**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(216) + sqrt(216))\/sqrt(12) + (sqrt(18)*1 + sqrt(18))*4)\/(4*-1*sqrt(81)).\nAnswer: -5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 13*b + 92, 7*i - 27 - 13 = 3*i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c - 56. Let z be h(-8). What is the remainder when (-4188)\/(-7) - z\/(-28) is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 1\/120*c**6 - 1\/60*c**5 + 0*c**4 + 2\/3*c**3 + 11*c**2 + 0 + 0*c. Let s(j) = 2 + 0 - 3. Calculate -a(n) - 3*s(n).\nAnswer: -n**3 + n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -2\/15, 191, 0.1 in increasing order.\nAnswer: -2\/7, -2\/15, 0.1, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgkljig. What is prob of sequence jkg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 20*g**2 - g. Is v(2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.549373 rounded to three decimal places?\nAnswer: -10.549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 55889413 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aao when three letters picked without replacement from {a: 2, f: 1, p: 3, n: 2, e: 4, o: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -175 - -505. Suppose 5*u - 10*u = -x. Suppose -f + u = f. What is the greatest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -33*n. Let y(x) = 7*x - 4. Let z(g) = -14*g + 7. Let j(c) = -7*y(c) - 4*z(c). Calculate j(a(p)).\nAnswer: -231*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3750)\/((-378798)\/94704 + 4). What is g rounded to the nearest one hundred thousand?\nAnswer: -19700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 231 and 7615167?\nAnswer: 83766837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 11:28 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-12)\/(-20)*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43 + 121?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10691, -13576, -16429, -19244, -22015, -24736?\nAnswer: -27401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqxqqx. What is prob of picking 4 q?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 137395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/42)\/(16\/18 - 1). Suppose o*x = -15 - 0, -4*b + 3*x = -599. What is the remainder when b is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54800890369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2443406397 + 0.071.\nAnswer: -2443406396.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2764, -2933, -3102, -3271, -3440?\nAnswer: -3609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (848\/3392)\/((-46)\/(-32))\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, -500\/9, 9 in increasing order.\nAnswer: -109, -500\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170 - -1192\/7. Let r be 10\/(-9)*(-6)\/(-8). Which is the biggest value? (a) p (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5583432284 + 0.5?\nAnswer: -5583432283.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*k**3 + 583*k**3 + 312*k**3 + 51*k**3.\nAnswer: 1219*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -231.0796 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 + 37. Let i = -125 + o. Differentiate 28*k**4 - 19 + i*k**2 - 80*k**4 + 33*k**4 wrt k.\nAnswer: -76*k**3 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5489 - -7503. Does 38 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11275311 (base 8) to base 16\nAnswer: -257ac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2291658940 rounded to the nearest one million?\nAnswer: -2292000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228\/(-448)*2 + (6 - 8)\/16.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2645.98704s to days.\nAnswer: 0.03062485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - o - 2*o**4 + 3*o**2 - 15*o**2 + 6*o**2 to the form h*o**3 + n*o**4 + j*o + b + v*o**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0249136 rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 336811 to the power of 1\/2, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -155 + 1218a5?\nAnswer: 121750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -22.075. Let z = 1.1 + y. Let l = z - 0.03. What is l rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-23244)\/1192)\/((-6)\/4). Solve 0 = -j - 9*d + 11*d + i, 3*j - 2*d = 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 4*g + 2 + 0*g)*(-6 - 7 + 1)*(2 - 2 - 5) in the form k + n*g and give k.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1037301211 - -0.2?\nAnswer: -1037301210.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1054 - 1056 - 4*t + 2110.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxadsrxddsddds. Give prob of picking 1 s and 1 r.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3211 + 3710. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 432.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 82639228 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 10*q)*(2 - 52*q + 46*q - 100*q).\nAnswer: -1060*q**2 + 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31 and 148?\nAnswer: 4588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4*z - 16, 0*c - 4*c = -3*z - 18. Suppose -6 = -4*k + c. Solve k*m - 6 = f - 0, 0 = -5*m - 2*f - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8186822 and 235592?\nAnswer: 32747288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, 39, 76, 127, 192?\n\"Answer: 7*z**2 + 2*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d. Let v(l) = 3*l**2 + 2*l - 259. What is y(v(t))?\nAnswer: 6*t**2 + 4*t - 518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 15*u**2 - 29*u - 43. Let m be a(-18). Round m to the nearest ten.\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -13. Let r = b - -12. Calculate the remainder when 9 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120503550 is divided by 287?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 72098 = -44080. What are the prime factors of h?\nAnswer: 2, 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*i - 0. Let w = 14 + i. Suppose -4*y - 27 = -d, -w*y + 27 = d - 4*y. Calculate the greatest common factor of 243 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8206509.6 minutes to days.\nAnswer: 5698.965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -248 - -124. What is the tens digit of (-3 + 1 + 0)\/(8\/k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 4 - 0 - (2 - (-4 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 261, 414, 563, 708, 849?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 2, b: 1, x: 1, k: 1, j: 1}. Give prob of picking 1 b and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -220220313130?\nAnswer: 220220313123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-743)\/7 + 14\/98. Let u = q + 47. Let r = -47 - u. Solve 2*a = -a + r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 10 + 5*j**3)*(164*j + 93*j - 101*j) in the form v*j**2 + y*j**3 + h*j**4 + u + g*j and give h.\nAnswer: 780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h - 29. Let v be u(7). Let k = -225143\/26 + 8658. Let c = -2\/13 + k. Is v <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 2. Let a(d) = -108*d - 3. What is -a(v) - 3*n(v)?\nAnswer: 114*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**6\/90 - f**5\/6 - 37*f**4\/36 - 10*f**3\/3 - 6*f**2 + 4*f. Solve c(i) = 0 for i.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/6*((-2300)\/90 + 26). What is the fifth smallest value in p, -10, -2, 10\/7, -2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-2))\/b)\/b)\/b**(1\/2)*(b\/b**2)**32 assuming b is positive.\nAnswer: b**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*g**2*n - 1027669*g*n - 2*g - 8346163*n + 20 wrt g.\nAnswer: -16*g*n - 1027669*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 407 + 933. Suppose 0 = -4*i + 4*v + l - 10, 4*v + 8 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a + 2. Let n = 1 - a. What is the common denominator of -13\/5 and (-5)\/15 + (n - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -10)*-2 - (-5 - -8). Let i(q) = 3*q - f*q + 0 - 1. Give i(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-120) + 1\/(-6). Suppose -14*k + 62 + 1198 = b. What is the remainder when 188 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 56 - 10462?\nAnswer: -10406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1859*u - 933*u - 924*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 38742650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3\/3 + 304*y**2\/3 - 548*y - 648 = 0. Calculate y.\nAnswer: -81, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/4 of a minute?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 8 (b) 1 (c) -1\/8 (d) -2\/5 (e) -3303\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-11)\/(-110))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60643 and 1043.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1172 - -1173.0839. Round b to two decimal places.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1431\/10 - 143. Suppose 20*v + 28 = 22*v. Let a be 2\/((-5)\/v*1) + 6. Which is smaller: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*1)\/(8\/4*-11).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.38. Let k = 0.02 - i. Which is the closest to k? (a) 2 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 576740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19406 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 160 = 4*v - 0*o, 0 = 5*v + 2*o - 200. Suppose -4*t = -3*m + 43 - 178, -v = -2*t - 4*m. Does 30 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = -h, h + 1 = -0*h - m. Let j(c) = -1 + 16*c + h*c + 1. Let g(y) be the third derivative of y**4\/12 - 2*y**2. Give j(g(x)).\nAnswer: 36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -368*364\/(-3584) - 37.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339063391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**7\/525 - b**6\/75 + 8*b**5\/75 + 4*b**4\/15 - 16*b**3\/5 - 9*b**2 + 3. Determine a, given that d(a) = 0.\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/35 and -12*18\/1008*(-73)\/3.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 21079 = 4843. Calculate the highest common divisor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -h + 5*z + 5, 3*z + 4 = -2*h. Which is smaller: 2\/3 or h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*((-314)\/(-2355))\/((-2)\/24).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3871904 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 72, 142, 264, 456, 736, 1122?\nAnswer: 1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1123 = 6*a - 3*a, -2*c - 8 = 0. What is the highest common divisor of a and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6931 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2561*p**2 - 12*p + 19. Let a(y) = -1921*y**2 + 9*y - 14. What is 11*a(g) + 8*i(g)?\nAnswer: -643*g**2 + 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*t + 1\/2*t**2 - 80.\nAnswer: (t - 20)*(t + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902 = -5*m - 2*i, -2*i + 425 = -5*m + 1343. Suppose -182 = -7*u + m. Calculate the greatest common divisor of u and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l + 40*l + 377*l - 530*l**2 + 216*l.\nAnswer: -530*l**2 + 616*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13340 (base 6) in base 8?\nAnswer: 4034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.1. Let g be (8 + -1)\/((-22)\/(-3) + -7). Suppose 59*z = 56*z + g. Which is greater: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4 = 1, 29*r - 23 = -3*y + 31*r for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 870 and 4.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.8 + 3.4. Let h be 2 - ((-22)\/(-6) + -2). What is the closest to h in 5, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15273730.71ms?\nAnswer: 0.025254184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 5:05 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(-3 + sqrt(147))**2 - (-3 + sqrt(147) + 3)) + -2 + 1.\nAnswer: -472 + 119*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 2\/7, 84, -0.1, 2, 32230?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + (-38 - -3 - -85).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 2, 9, 0.2, 2\/5, -12 in ascending order.\nAnswer: -12, -2\/13, 0.2, 2\/5, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.6822*-1384.\nAnswer: 20320.1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 11:10 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -595669\/22 - -27071. What is the common denominator of f and ((-38)\/64)\/((-3)\/(-30))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -568 + 573. Solve -4*j + 9 = -h, -2*h - 3 - 9 = -z*j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - 76. Let a(h) = -2*h**2 - 7*h + 17. Let r be a(n). Suppose l + 8*l - r*l = 0. Solve p + p = l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1 - -4 - 0. Suppose -3*r + 5 = 2*z, 4*z + 4 = -r - 1. Solve r*x + m = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -20. Let b = 5.2 + x. What is the second biggest value in 1, b, -1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002598117 rounded to 6 decimal places?\nAnswer: -0.002598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**2 + 4*l - 21. Let s be t(-4). Let p be (5 + -2)\/(-6 - -7). Calculate the greatest common factor of p and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(19)*3)**2 + sqrt(152)\/sqrt(8) + -2.\nAnswer: sqrt(19) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 128854 = 36*w - 25*w. Is 201 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from uchvvuccvcv.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.28 - 0.02. Let u = -7.9 - t. What is u rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 29 (c) 0.4 (d) -1\/3 (e) -1 (f) -319 (g) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o = 0. Suppose o = -3*f - 3*w - 66, 5*f = -0*w - 4*w - 111. Let n = -16 - f. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997359001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d + 12*d**5 - 8*d**5 - d**5 wrt d.\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o = 19*o - 2*f + 8, 5*o = f + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d**2 - 20 + 20.\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -568, -2247, -5030, -8905, -13860?\n\"Answer: 2*c**3 - 564*c**2 - c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 28*x**2)*(2*x - 4 + 4) - x**3 + 4*x**3 - 5*x**3.\nAnswer: 54*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 500.2036nm in micrometers?\nAnswer: 0.5002036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965 is divided by 137.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -4, 5, 10, 3 in descending order.\nAnswer: 75, 10, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2341 (base 10) to base 14\nAnswer: -bd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 4*c - 28 = 0, -c = -4*x + 2*c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(3\/11)*g)\/g)\/(g**18*g)*g\/g**(-1\/6)*(g\/((g**(6\/7)*g)\/g))\/g assuming g is positive.\nAnswer: g**(-7837\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-71*u - 7*u**2 + 71*u)*(-u**2 + 0*u**2 + 0*u**2)*(-4 - 3 + 5) in the form i*u**4 + k*u**2 + z*u + x*u**3 + c and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 5\/3*n**3 - 2 + 0*n**2 - 1\/3*n**6 + 0*n + 0*n**4 + 0*n**5. Find the third derivative of h(z) wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2 - 379*x + 95 = 0.\nAnswer: -95, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*t**2 + 138*t**2 - 572*t**2 + 144*t**2 + 143*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51859.66s to nanoseconds.\nAnswer: 51859660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 104448?\nAnswer: 104437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 - 4*s**4 + s**4 - s**3 - s**4 + 0*s**4 + 3*s**4 + (s + 2*s**2 - s)*(10*s - 2*s**2 - 10*s) + 2*s**4 + 0 + 0.\nAnswer: -s**4 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 2. Let o(a) = -a**3 - 24*a**2 - 19. Let u(k) = 8*g(k) + o(k). Give u(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -221.1088 to 1 dp.\nAnswer: -221.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxnn. Give prob of picking 2 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41\/(-82))\/(63\/(-105) + 157\/20)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 1\/4521?\nAnswer: 1\/4521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4 + 65*j - 42*j - 178*j - 160*j in the form m + s*j and give s.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8645699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 609109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/17))**(2\/21)\/((n*((n*n*n*n**28)\/n)\/n)\/(n*(n*n*n**7*n*n)\/n)))**39 assuming n is positive.\nAnswer: n**(-88231\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.11 or -43?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5928288 divided by 148?\nAnswer: 40056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 12, c: 3}. What is prob of picking 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 3*l - 324. Let g = -54 + l. Sort -3\/5, -1\/4, -4\/5, g in descending order.\nAnswer: g, -1\/4, -3\/5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 + 0.04. What is the fourth biggest value in -10, -0.4, 0.2, a?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 728376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 3)*(y - 2 + 0*y - 1) as b*y + i and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109241 + 162922. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14432459 to the nearest integer?\nAnswer: 3799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.263*-284.\nAnswer: -926.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((32\/14)\/(-4))\/2. Let q = m + 76\/21. Is 2 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6917 - 0.6917. Let h = 3 - 2. Which is the closest to 0.3? (a) h (b) l (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3743 + 4?\nAnswer: 3747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -117, -228, -447, -810, -1353?\nAnswer: -2112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15 = -5*v, 3*v = u + 4*v - 3. Suppose u = -5*c + 50 + 30. Calculate the lowest common multiple of 10 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 36176?\nAnswer: 180880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 9. Let k(r) be the first derivative of r**4\/4 + 2*r**3 + 2*r**2 - 3096. Give k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*u**4 - 8890969*u**3 + 83811145*u**2?\nAnswer: 96*u - 53345814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -13. Suppose 6*t - 48 = 2*t. Suppose f = m*f - t. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*z - 25, 2*h = 3*z - 64 + 19. Calculate the highest common factor of z and 1921.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14271*d = -14306*d + 1960. Solve 46 = -34*u - d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3561 (base 7) to base 16.\nAnswer: -525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -14. Suppose -77 = -r + b*k, 3*k = -5*r + 2*r + 276. Suppose 2*j + v = 74, -4*j + v + 53 + r = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1043, -1046, -1051, -1058?\n\"Answer: -p**2 - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37509616 and 93774040?\nAnswer: 187548080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24725*n**3 - 93969*n**2 wrt n.\nAnswer: -148350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**3\/6 + 7*o**2 - o. Calculate d(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3*k**2 - 1)*(k**2 - 2*k**2 + 0*k**2) + 26*k - 2*k**4 + 0*k**4 - 42*k as n + f*k + u*k**2 + b*k**3 + m*k**4 and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 6 = 111*r - 116*r, -2*m - 2 = 3*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 - 53*b**2 + 92*b - 113. Does 52 divide c(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - -1 - ((-8 - (-7 - -10)) + 14)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83*l**4 + 43*l**3 - 231952.\nAnswer: 332*l**3 + 129*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11455927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(567) + 3 + (-3 + sqrt(175))**2 + sqrt(1008)*2.\nAnswer: 3*sqrt(7) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99328 is divided by 2618?\nAnswer: 2462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2\/(252\/(-14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/4)*v**5)**(-28)\/(((v**(-10)\/v)\/v)\/(v*v**(1\/3)*v*v*v))**29 assuming v is positive.\nAnswer: v**(896\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 + 83*w - 158*w + 75*w. Let y(q) = -15*q**2. Give -20*u(x) + 3*y(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 - 57. Let d be (u\/(-3))\/((-2)\/(-84)). Round d to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - -42. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, 23, 2, 1, -480 in decreasing order.\nAnswer: 23, 9, 2, 1, -5, -480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140744 is divided by 23454?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -45.3. Is o < -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58042 or 2.99?\nAnswer: -58042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(2\/5))\/g**(-4\/5))\/(g\/(g\/(g\/((g\/(g\/(g*g*g*g\/g**(-1)*g)*g))\/g*g)))*g**(1\/2)))\/((g**(-1))**(-34)\/((g*g**1)\/(g*g**(1\/7)))) assuming g is positive.\nAnswer: g**(-1921\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2824)\/140 + (-396)\/(-18).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18 + 0.18. Let m = 11.15 + -11. Let l = -8.85 - m. Is l less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3\/8))\/((x\/(x**(-1\/20)\/x))\/x*x))\/((x**(-9)\/x)\/((x*x\/x**(-1\/3))\/x)) assuming x is positive.\nAnswer: x**(1189\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 9*o - 2. Let d be m(8). Let w = d + -1. What are the prime factors of 226\/10 + 2\/w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/26 and 43\/286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + x)*(1 - 1 + 1) - 8*x + 14*x - 5*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8055 divided by 9\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.27, -593, -1\/29, -6, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 342 - 343 - 4*x + 2*x. Let o(u) = -u - 1. What is -2*g(k) + 3*o(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + q = 22, -x + 5*q - 11 - 3 = 0. Let s be (-4)\/(-10)*(0 + -5). Let k = s + x. Calculate the remainder when 6 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -309 - -1908. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17 + 23)*4\/6. Let t(s) be the third derivative of 1\/30*s**3 - 1\/300*s**5 + 0*s + 0 + 1\/600*s**6 - a*s**2 - 1\/120*s**4. Find j such that t(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19111, 19123, 19151, 19201, 19279?\nAnswer: 19391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2 + o**2 - o**2 - 4 = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -389 - -280. Let h = -116 - g. Which is the second biggest value? (a) 0.8 (b) h (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 3. Let z be l(-3). Suppose -g + 4*m + z = -6, -m + 49 = 3*g. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 62 = -2*c, 4*r + 2*c + 16 = 3*c - 5 + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqiqiiiwziizwzwwzigq. Give prob of picking 1 q, 2 i, and 1 g.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from gghnhrhnh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -128.71.\nAnswer: 38.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 241*l - 13 + 977. Let p be 12\/(-21) + 2\/7. Which is the nearest to p? (a) -2\/15 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4424.872 and -0.3.\nAnswer: 1327.4616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Suppose -4*q + 2 = a, -a = i*q - 0*q - 8. Let s be 4\/a + 38\/14. Solve 3*r + s = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008231 to five decimal places.\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -21. What is the derivative of -10*i**4 + 22 + l*i**4 - 29*i**4 wrt i?\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4167, 1, 4, 2 in descending order.\nAnswer: 4, 2, 1, -4167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 1:07 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by -59442.\nAnswer: 24\/9907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 574.24 minus 70533?\nAnswer: -69958.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {o: 1, n: 1, k: 1, r: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + c**2. Let d(y) = -3*y**3 + 4*y**2 - y + 2. Let f(n) = -d(n) + 4*u(n). Give f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 405\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 5159.\nAnswer: 20636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-1)\/18*-9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35541 greater than -41.89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 2. Let n = p + 12. Solve -3*o - 7 = n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 353 + -353.012. Which is smaller: 2\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -37*l - 364. What is the smallest common multiple of 26 and g(-10)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 2736*w**3 + 5466*w**2 + 2732*w.\nAnswer: 2*w*(w + 1)**2*(w + 1366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.5 + 6. Let g = f + 3. Let d = 37.6 + -38. Which is the nearest to -2\/11? (a) g (b) -2\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 751*y**3 + 2 - 686*y + 1376*y + y**2 - 687*y - y**4 to the form t*y**3 + b + x*y + s*y**4 + v*y**2 and give t.\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**7\/147 + q**6\/105 - 3*q**5\/70 - 5*q**4\/42 - 2*q**3\/21 - 13*q. Find r such that g(r) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -7*y**6\/120 + y**4\/4 - 5*y**2. What is the second derivative of j(h) wrt h?\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -258 and 93.\nAnswer: -23994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34009483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujl. Give prob of sequence lj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 108 + (23 + 20 + -77 - -20)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*r = 165*r + 22. Do 61\/5 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 7*z**2 + 7*z + 17. What is the lowest common multiple of x(6) and 5?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -105, -143, -213, -321, -473, -675?\n\"Answer: -y**3 - 10*y**2 - y - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u + 93. Let b be t(13). Suppose 88 = 3*m + 3*q + q, 5*q = -2*m + 54. Let l = m + b. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 + 279*b**4 + 534*b**3 - 5516*b**2 + 6648*b.\nAnswer: b*(b - 2)**2*(b + 6)*(b + 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 23*f**2 + 2*f - 3. Let z = -23 - -24. Is 11 a factor of g(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*f**2 + 2*f**2 - 6*f - 10*f + 6*f + 45.\nAnswer: -126*f**2 - 10*f + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*m - 11 - 62 = 0, -2*m + 2 = 0. Suppose 0 = -22*n + 27*n - 20. Suppose x = w - 72, -2*w = -n*x - w - 285. Is q less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/729652 and -67\/46046?\nAnswer: 9485476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1629 and 44168163?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 1920800?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - -0.2. Which is the nearest to r? (a) 3\/8 (b) -0.3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458\/(-81)*((-18)\/6)\/(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**2 - k + 1. Let p be m(1). Let q(g) = g**2 - 4*g - 3. Let u be q(p). Suppose -3*c = -u*c - 41. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 240*t - 364*t + 236*t.\nAnswer: 112*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -35*x**2. Let y(c) = 5*c**2. Determine l(y(w)).\nAnswer: -875*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 2*k**2 - 15*k + 5. Let g be n(3). Let r be 6\/21 + 216\/28 - g. Solve -r = 4*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 227 + 0*u - 23*u - 264 - u**2 as p*u**2 + h + v*u and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r + 142 = 0. Suppose v - 2*v = -24. Calculate the remainder when r is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7147, 7149, 7153, 7159, 7167?\nAnswer: 7177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 8.3\nAnswer: 58.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {s: 3, e: 3, k: 4, z: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/27958392 and -157\/30.\nAnswer: 139791960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*u = -10, l = -4*l + 4*u - 20. Solve 4*m = -3*j - 26, 3*m - 2*j + 11 = -l*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 166389318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 5:24 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -416 - 6*a + 416. Let c(m) = 17*m. Give 4*c(w) + 11*d(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((((sqrt(13) - -1*sqrt(13)) + sqrt(13))*1 + 1)*-5)**2 + -3 + -4.\nAnswer: 150*sqrt(13) + 2944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 905066 rounded to the nearest 10000?\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -142*t + 5. Let l be k(3). Let f = -285 - l. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/4953 and -37\/10597515?\nAnswer: 137767695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1 (c) 3\/5228\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**6\/420 + u**5\/30 + u**4\/14 - 1269*u**2. Let w(j) = 0. Calculate j.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-97)\/22*66\/33 + 9. Which is the fifth biggest value? (a) k (b) -2\/17 (c) 3 (d) -0.5 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 703547004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-830)\/(-60) - (-2)\/12. What is the highest common divisor of o and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w + 2. Let t be h(0). Find the third derivative of 2*d - 14*d**2 - 27*d**3 - 3*d + 3*d + 12*d**t wrt d.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 17*m**5\/60 - m**3\/6 - m**2. Let x(g) = 23*g. Let d(u) = -344*u. Let w(i) = 2*d(i) + 30*x(i). Give r(w(b)).\nAnswer: 68*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1555 and -0.2.\nAnswer: -0.4311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55035 and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-12))\/((-4)\/16). Let f = -0.03 - 6.97. Let h = f - -7.5. What is the closest to 0.2 in -1\/4, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 9\/(1 - (-1 + -1)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 10*n - 5*n + 34*n + 10*n + 8*n to r + o*n and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7798 at least 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 - 2)*(3*j - 2*j - 2*j)*(3*j**4 - 4*j**4 + 2*j**4).\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(217\/210)*(-6)\/(-10)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/((-7)\/42). Let b(g) be the second derivative of 0 + j*g - g**2 - 2\/3*g**3. Differentiate b(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaj when three letters picked without replacement from {j: 3, a: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4971, 4514, 4057, 3600, 3143?\n\"Answer: -457*q + 5428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 11*v - 3. Determine o(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**3 + 32*z**2 + 9*z + 11. Let l be u(11). Let o(j) = j - 11 - 3 - 2*j. Let a be o(l). Sort 4, -1, a in descending order.\nAnswer: 4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -100010110001100101001101?\nAnswer: -100010110001100101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 13. Let v be 1*h*(-8)\/(-12). Solve -v = 4*o - 0*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 12.3. Suppose 3*t - 5 = -5*y, 65 = 5*t + y - 4*y. Let o be -10 + (t - 3) - (-19)\/6. Which is the nearest to -1? (a) d (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - h**2 - 8*h - 5. Let x(q) = -q**2 - q - 1. Let z(r) = -k(r) + 5*x(r). Let d be (-16)\/16*((-324)\/(-27) + -7). Calculate z(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/37095 and -7\/12365?\nAnswer: 37095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*h = -28, -x = -4*x + 2*h + 28. Suppose -4*g + 122 = -5*q - 10, 4*g + 2*q = 104. Let i = g - x. Solve 5*p = -4 - i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -467 + 111138?\nAnswer: 110671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4856 + 10285. Is 61 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 4. What is d(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 1. Let c be y(-6). Let a(k) = -747999*k**2 + 6*k + 5. Let q be a(c). Round q to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -4.94. Let z = -1.14 - b. Let y = z + -0.8. Sort y, -0.1, -3\/2.\nAnswer: y, -3\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 319 or 7347\/23?\nAnswer: 7347\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-11 - (-1 + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81266 by -71.\nAnswer: 81266\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -22818.615385081.\nAnswer: -22818.415385081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/110 and 38\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, -2, 1 in ascending order.\nAnswer: -2, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -225024 - 17?\nAnswer: -225043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**8\/560 - g**5\/60 + g**3\/3 - 3. Let u(m) be the third derivative of z(m). What is the second derivative of u(n) wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 7*i - 16. Suppose -2*h = 5*c - 161, -c + 164 = i*c + 3*h. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 30. What is the closest to 2\/9 in 0.2, 4, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q - 45. Calculate f(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 311.7409 millilitres?\nAnswer: 0.3117409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*s = -477*s - 25*s - 61707 for s.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -4.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -186, -4, 4, -2 in decreasing order.\nAnswer: 4, -2, -4, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841 divided by -7?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163 + 60*q**2 + 55*q**2 - 93*q**2 to the form z + g*q + n*q**2 and give z.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.103024900169 minus -8?\nAnswer: 8.103024900169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - 2*f**3 + 26*f**3.\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -261519*a*x**5 - 904*a*x**3 - 312*a*x - 408*a + 49*x - 5 wrt x.\nAnswer: -5230380*a*x**3 - 5424*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**2 - 93 + 43 + 50.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13369997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4308082?\nAnswer: 2, 2154041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:17 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 9061.3 to the nearest 100.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17460)\/485*(-40)\/(-45).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 42. Let u be q(55). Solve -w = 4*v + u - 16, 0 = -5*w - v - 23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1112*u**5 - 2*u**3 - 11*u**2 + 191243*u.\nAnswer: 22240*u**3 - 12*u - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41101404 (base 5) in base 4?\nAnswer: -1100323113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**2 + 7328*n + 3356224 = 0?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21 + (4 - 7))\/(6 - 4). Let s be d\/24 - 12\/32. Suppose s = -a - 5 + 8. Let k(q) = q**3 - 4*q**2 + q + 4. Give k(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-386)\/(-10) + (-12)\/(-30). Let y = s - 3. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/22)\/(315\/(-2772)*12).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 925 = -z + 2*g + 949, -g = 4*z - 33. Let x(i) = 2*i**2 - 20*i - 10. Calculate x(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 12*k + 3. Let f(o) = -o - 2. Let b(s) = -3*f(s) - y(s). What are the prime factors of b(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 112854 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-26)*3)\/((-62)\/(-403)*-13).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1606820 is divided by 112.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -10393?\nAnswer: -62358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 545155 to the nearest 10000.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1802273460 to the nearest one million.\nAnswer: 1802000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 47848*u. Let s(j) = -4*j. Determine s(p(m)).\nAnswer: -191392*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 0 - k**2 + 43*k + 1\/3*k**3. What is b(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) - 86\/7. Let o = 4 + g. Let r = 1 - o. Calculate the greatest common divisor of 72 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37807686.\nAnswer: 2, 3, 7, 191, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166 and 1079?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*(x*x**(-15))\/x*x)\/x)*x)\/(x\/x**(-5\/4)))\/((x*x**(4\/21))\/x*(x*x*x\/(x\/(x**25\/x)))\/x) assuming x is positive.\nAnswer: x**(-961\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4125 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: Suppose -32 + 214 = -5*h - 2*b, 2*b - 8 = 0. Let w be h\/30 - (-4)\/6. Let k = 313 - 318. What is the second smallest value in k, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + 4*(3 + sqrt(175)) + 1*(-4 + sqrt(175)*-1 + sqrt(175) + sqrt(175)) + -4))**2.\nAnswer: 800*sqrt(7) + 17564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)\/2*0. Let q(z) = z**2 + 9*z + 9. Let h be q(-7). Let u = h + 9. Solve 0 = j - v*g + 2*g - 5, -u*j - 1 = g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65518\/13 + 5040. Let k be ((-1)\/(-4))\/((-2)\/(-6)). Which is the nearest to -11? (a) m (b) -3\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = k + 2*u, -5*k = 699675*u - 699670*u - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)*t**(1\/16))\/(t*t**(-11)*t**(-11)) assuming t is positive.\nAnswer: t**(177\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574219?\nAnswer: 574219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6453 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 38*m + 46*m + 44358 - 44365. Let j be 2\/7 + (-44)\/7. Determine o(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d - 8*d + 3*d**3 + (2*d + 0*d + 0*d)*(0*d**2 - d**2 + 0*d**2).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3962 + 3986. Calculate the highest common divisor of v and 6816.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**10)**47 assuming g is positive.\nAnswer: g**517","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 3:58 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110111100110 (base 2) in base 5?\nAnswer: -3304211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14a1493a + -8?\nAnswer: -14a14946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayannymymmyyaayyyaa. What is prob of sequence my?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d30c (base 14) in base 6?\nAnswer: 3125252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 518 - 363. Suppose b = -15*s + 380. Solve n - 4*n = s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 10:28 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 7*x - 10. Let j = -2161 + 2166. Determine t(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**4 - 22 - 2*u**2 + 21 - u**4 - 2*u**3 + u**2 in the form l + m*u**2 + s*u + p*u**3 + q*u**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 13*d + 42 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - w - 2. Let m be r(3). Suppose -3*s = 3*n - m*s + 14, 3*n + 6 = 3*s. Let d(o) = 7 + 22*o - 13*o - o**2 + 1 - 13*o. Calculate d(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 20813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8699.\nAnswer: 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/15)*d**(-1\/6))**(7\/8))**(6\/11) assuming d is positive.\nAnswer: d**(147\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 125660 from -0.1.\nAnswer: -125660.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546 and 3666?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m + m - 6*m + 6*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4575852452?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/40 - (-36)\/(-10). Let v be (-159)\/(-12) - 2\/8. Suppose -4*d - 5*t = -11, -2*d - d + t = -v. Put 2, d, s in ascending order.\nAnswer: s, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550132 times 1?\nAnswer: 2550132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217703 is divided by 43511?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 2*d - 9. Let u be (-5 + 6 - d)\/(-6). Which is the biggest value? (a) u (b) 1\/3 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 1585*i - 1586. Determine g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*i + 3*j + 84, -2*j + 229 = 5*i. Calculate the remainder when i is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*z + 980 + 14162, 2*z = 5*c + 15110. What are the prime factors of z?\nAnswer: 5, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5634 + 5516 - 4*g**3 - 10766 in the form j*g**3 + x*g + o + c*g**2 and give o.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**6\/10 - 9*a**5\/20 - 3*a**4\/4 - a**3\/2 - 9*a. Factor z(t).\nAnswer: -3*t*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 - 4*t + 13. Let n(w) = -17*w**2 + 18*w - 53. Determine -9*m(k) - 2*n(k).\nAnswer: -2*k**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1 - (1 + -3)). Let d(h) = 42*h**3 - h. Calculate the remainder when d(z) is divided by (-14)\/(-4)*(0 + 3)*2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 2*p + 19, 13*y - 17*y - 4*p + 52 = 0. Let s be ((-6)\/4)\/(2\/(-4)). Solve -3*r = 0, -s*r + 4 = 7*o - y*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4957\/22 + -226. Find the common denominator of -77\/134 and n.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 1\/4 (b) -5 (c) 0.08 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d + 5. Let n(s) = 69*s + 202. Let p be n(-3). What is a(p)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 45 = -2*v, 3*v + v - 20 = 0. Does 9 divide (-10)\/b - (-762)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 3:15 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*l + p, -4*l - 3*p + 61 = 21. Suppose 0 = 5*h + 3 + 12. What are the prime factors of 1*(4 + h)*l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1683.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28*2*570\/(-1995))\/((-1)\/9). Solve 74*a = 38*a - z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97916960963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:08 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + -1.6. Suppose g - 58 = z + 2*z, -5*g - 70 = 3*z. Let b be 28\/21*6\/z. Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 11*j**2 - 12*j + 5. Let b be q(12). Suppose h + b - 26 = 0. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 151*l + 58 = 148*l, -2*b = -5*l - 65 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 3*r**3 + 11*r**3 + 3 - 5*r**3 - 3*r**4 - r**3 to y + m*r**2 + z*r**3 + v*r + s*r**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4 + 323*l**3 - 3768*l**2 + 11196*l = 0. What is l?\nAnswer: 0, 6, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*l**2 + 2)*(2*l**3 - 6*l**3 + 3*l**3) + 3*l**5 + 7*l - 7*l.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -17. Let h = p - -143. Calculate the highest common factor of 22 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/71944 and -71\/13708.\nAnswer: 10719656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 23*m - 6. Let v(c) = -4*c + 1. Calculate 34*v(s) + 6*z(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.295 - -0.001.\nAnswer: 0.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 101976 and 5180?\nAnswer: 18865560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-3)\/2*(-40)\/30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 398 - 335. Suppose 0 = 25*z - 12 - r. Solve -z*y = 3*i + 2 - 17, 5*i - 25 = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(375) + (-1*sqrt(375) - sqrt(375)) - sqrt(375)) + sqrt(375))\/sqrt(5) - (-5 + sqrt(3) + 0 + sqrt(3) + -3 + sqrt(12)\/sqrt(4))).\nAnswer: -8*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -309 - 483. Let c = r + -65. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579729377?\nAnswer: 3, 526576459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = a + 3*a. Let k(c) = 26*c - c**3 - 48*c - a - 1 + 29*c + 4*c**2. Give k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3903*x = 4568*x - 3325 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -46.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*r + 51*r = 101 + 4983 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 416881910 to the power of 1\/2, to the nearest integer?\nAnswer: 20418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -666*r. Let y(z) = 2*z. Determine s(g) + 555*y(g).\nAnswer: 444*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-16)\/6)\/((-2)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 8\/2)\/((-74)\/259). Solve -t*p = -p - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22894729 and 253.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -125798013 rounded to the nearest 1000000?\nAnswer: -126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 6:17 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 8*p + 5. Let z be s(7). Let g = 1013 + -1014. Which is the second smallest value? (a) 5 (b) -2\/13 (c) z (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1 (c) 5905.9 (d) 164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*-45\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -766?\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -34, 3.\nAnswer: -34, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82*90\/18450)\/((-6)\/(-735)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -4)*(-1)\/(-2). Let h = 5 + g. Calculate the highest common divisor of h and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(245) + sqrt(245) + 1 + -2 + sqrt(245))**2 - sqrt(245)) + (sqrt(245) - (-6*-4*sqrt(245))**2).\nAnswer: -138915 - 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, v: 1, r: 6, u: 5}. What is prob of picking 2 z, 1 u, and 1 v?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 20 = 2*y, 9*w - 16 = 10*w - 3*y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*f - 363*f - 420 = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*1 + sqrt(70))\/sqrt(10))**2 - (sqrt(7) + (1*sqrt(28)\/sqrt(4))**2).\nAnswer: -sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000147250735 to six decimal places.\nAnswer: -0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t - 13 = 182 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q - 2. Let u be y(2). Suppose -4*j = -18 - 2. Let h(a) = -a**3 - 8*a**2 + 8*a - 6. Let m be h(-9). Solve -u*o - j*t - 3 = -3*o, 0 = -3*t - m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.94 - 58.92. Let m = 5.95 + 3.37. Let f = m - i. What is f rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 14. Suppose -26 = -p - 2*i, 0*p - 2*p + 48 = s*i. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*f - 29 + 41, l = f + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -793\/17 - -24091\/476. Calculate the common denominator of (-6)\/(-2) - (-153)\/6 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100001100112121201 - -20?\nAnswer: -100001100112121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4108894971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 435*(2 + 5\/(-3)). Let f = d + -33. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((-632)\/1580*30\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1979761 is divided by 1402.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -373\/4. Which is the smallest value? (a) 0.1 (b) -2 (c) 1\/8 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4258*n**5 + n + 3*n + 3947*n**5 wrt n?\nAnswer: -6220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62091 is divided by 54.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(3 - 94\/32). Let i(x) = -2*x**2 + 17*x - 7. Let l be i(k). Are -3\/97 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-2 - -3) + 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-98)\/48 + 2). Let f be (1 + 0)*(7 + -2). Suppose -4*t = -5*o - t + 23, -f*o = -4*t - a. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-130)\/134 + 2)\/1. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45746342*u**4 + 87*u**2 - 123172*u.\nAnswer: 1097912208*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 31. Is p*(-2)\/(-27) - (-8759)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*o. Let c(l) = -l**2 - 2*l + 2. Let j(b) = 4*b**2 + 7*b - 5. Let y = -87 - -80. Let i(v) = y*c(v) - 2*j(v). Determine i(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26010 and 340.\nAnswer: 52020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.03 (b) -1\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.979 - -0.479. Which is the second smallest value? (a) f (b) 1 (c) 47 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180) + sqrt(180)*1 + 2)**2.\nAnswer: 48*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a3 - 0?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/12 (b) 71 (c) 2 (d) -3\/4 (e) 0.3 (f) -164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82545 and 4344.\nAnswer: 119525160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a\/(a*a\/(a*a**(-2)*a))*a))\/a)**(-14)*a**(-1\/3)*(a\/(a*a\/a**12*a)*a)\/a*a assuming a is positive.\nAnswer: a**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156127 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(4\/7)\/c**(-1)*c**10*c**7 assuming c is positive.\nAnswer: c**(130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 147 = 2*c. Suppose 3*h = -k + 34 - 3, 0 = -2*h + 5*k + c. What is the highest common factor of h and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 129038267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*v + 22. Put v, 3, -4, -1 in decreasing order.\nAnswer: 3, -1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217\/((22 - 26)*1\/(-4))?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/105 not equal to 276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 2:39 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 1088.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -23*f**2 + 10*f - 11. Let x(j) = -48*j**2 + 24*j - 22. Let g(u) = 5*h(u) - 2*x(u). Let w(y) = 9*y**2 - y + 5. What is 6*g(r) + 13*w(r)?\nAnswer: 3*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 107*b**5\/5 + 21*b**3 + 2*b + 149. Find the third derivative of m(v) wrt v.\nAnswer: 2568*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-4))\/a**(-6)*(a**(-2)\/a*a)\/(a**(2\/13)*a))**(1\/17))**38 assuming a is positive.\nAnswer: a**(-76\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -0.56 (b) 2\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 + -98. Let w(p) = -p**3 + p**2. Let y be w(0). Which is the nearest to f? (a) y (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*z**3 + 16*z**3 - 189*z + 192*z)*(0*z + 0*z + 2*z**2).\nAnswer: 82*z**5 + 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.05, 6\/5, -5, 0, -16?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*l**3*q - 151078*l**3 - 4542*l**2*q with respect to q.\nAnswer: 7*l**3 - 4542*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -419*u + 124*u + 85*u + 138*u + 2160 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r + 3*n - 4, 2*n = 3*r - 9. Find the second derivative of 87*l**2 - 129*l**2 - 10*l - l + r wrt l.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -12, 8, 38, 78?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6.4. What is p rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-2)**2 - (-1 + (sqrt(5) - sqrt(15)\/sqrt(3))) - (4 + sqrt(20) - (sqrt(5) + 2)**2*-4).\nAnswer: -18*sqrt(5) + 941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 4:10 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 4 + -8 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - (-8 - (-16 + 6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/8 + (-5)\/(-2). Solve p*j = -2*q - 5, 2*j + 3 = -3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1547 + 38669\/25. Let g = f - -43\/75. Let t be (-2 - 0)*(115\/(-30) - -4). Which is the second smallest value? (a) t (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85396 divided by 4.\nAnswer: 21349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 12*v - 8. Let y be n(11). Let c(u) = u**y + 44 - 41 - u**2 + 0*u**2. Let p be c(0). Solve -5*q = -p*q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 3:23 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96433.52l to millilitres.\nAnswer: 96433520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 755 and 302.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -3 (b) -0.2 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 1. Let t be m(-7). Suppose -2*i - i = 0. Let j be i\/((2 - 0)\/2). Solve t = -j*h + 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 30 = -48 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -358254 (base 9) in base 11?\nAnswer: -13830a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-4)\/(-8) + -1)*(-160)\/210.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + 118*s**2 - 119*s + 95. What is t(-60)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*z**3 - z**3 + 3*z**3 - 1 + 35*z**3.\nAnswer: 131*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/(-13)*(-27)\/(-90)*40\/12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19*c**3 - 19*c**2 + 49*c + 116. What is m(-2)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 12. Suppose -5*i = t - 0*i - 3, -t + b*i = -3. Suppose 58 = t*r - 35. Solve -5*x + 0*x = 4*n + r, -5*n = -x + 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72613 - 225012?\nAnswer: -152399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5482*u + 93912 = 5508*u. What are the prime factors of u?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7)\/(u*u\/u**16) assuming u is positive.\nAnswer: u**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s + 10. Let j(x) be the first derivative of -9*x**2 + 29*x + 434. What is 6*j(d) - 17*z(d)?\nAnswer: -6*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*a**4 - 264*a**3 - 1707*a**2 - 2808*a - 756 = 0. What is a?\nAnswer: -21, -6, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/3)\/z)**(-38)*(z**(3\/10)*z)**(-22\/7) assuming z is positive.\nAnswer: z**(-3089\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 369*c**2. Let s(k) = -229914*k**2. What is s(z(t))?\nAnswer: -31305320154*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6589, 6644, 6829, 7144, 7589, 8164, 8869?\nAnswer: 9704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 11:31 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -345 and 4?\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*(p*p**4)\/p)\/p)**(-2\/17) assuming p is positive.\nAnswer: p**(-10\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 18*f**3 - 9*f + 4. Let o be x(-5). Let m = -11039\/5 - o. What is the second biggest value in 0.5, m, 4, 2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1219.297 + -1304.38. Let z = -85 - u. Let h = -0.017 - z. Which is the second biggest value? (a) 4\/5 (b) -1\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/152220 and -47\/708?\nAnswer: 152220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*n - 11949*n**3 + 31*n**4 + 2*n**2 + 20*n + 11948*n**3 + 1 to i*n**2 + t*n**3 + f*n + j*n**4 + r and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 33*q + 3*q**3 + 2*q**3.\nAnswer: 7*q**3 - 33*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19295404.\nAnswer: 2, 4823851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71\/3 - 24. Let d = -16.9 + 16. Let m = -0.1 + d. Which is the biggest value? (a) m (b) i (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 5*j**2 - 5*j. Suppose 5*n = n + 24. Calculate the remainder when 16 is divided by d(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-8) + (-3 - -2))*-5. What is the nearest to w in -3\/7, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -916 + 901 - (-32 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - 1. Let w be 1\/((-6)\/x)*24. Calculate the greatest common factor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1153 - -10024?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 0.7. Let s = 0.1 + h. Let i = 111\/7 + -16. Which is the nearest to s? (a) 0.2 (b) -3\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07607 + -4.\nAnswer: -3.92393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1327*p - 3 + 3 + 0 - 2867*p to the form w + t*p and give t.\nAnswer: -4194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -145*u**5 + 136*u + 45. What is the derivative of f(m) wrt m?\nAnswer: -2900*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-32)*-2*5\/(30\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25671, -102606, -230837, -410370, -641211, -923366?\n\"Answer: -r**3 - 25642*r**2 - 2*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72673304 and 10208?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctoo. Give prob of sequence co.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/816 and -39\/5.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t - 3. Let g be q(-4). Suppose -19 - 16 = -5*u. Calculate the highest common factor of g and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 0.0674?\nAnswer: 0.0674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13161371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7026 - -7023. Put -30, 0.1, v, 0 in ascending order.\nAnswer: -30, v, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 58*h**2 - 11*h + 806. Give n(58).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33 - 0 - (-204 - -190). Solve -44*a = -s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -601, -1199, -1795, -2389?\n\"Answer: w**2 - 601*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*f - f - 60 = 0, 2*a - 113 = 5*f. Let d(b) = b**3 + 15*b**2 + 14*b + 12. Let h = -7 + -7. What is the remainder when a is divided by d(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**9\/k**(-2\/7))\/(k*k**(2\/39)*k**(-5\/7)))**29)**(-18\/5) assuming k is positive.\nAnswer: k**(-60726\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2868\/5 in -1\/45, 3, 0.2, 2\/11, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*i*o**3 + 12*i*o**2 - 439*i*o + 2*o**3 - 174*o**2 + 187*o wrt o?\nAnswer: 36*i*o + 24*i + 12*o - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18986 times -11\nAnswer: 208846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b + 11*b = -70794. Calculate the highest common factor of 276 and b.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Let y = 0.1 + 4.9. What is the nearest to 0.2 in 4\/9, j, y?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 338 - 22 = 0. Calculate the greatest common factor of 41 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:33 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**5\/20 - 2*u**4\/3 + 3*u**2\/2 - 4*u. Let i be r(8). Is (145 - i)\/(2 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.15, 1\/30, -5, -2?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23288447.\nAnswer: 7, 13, 255917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -5*m**4\/12 + 923*m**2. Let n(p) = 10*p. Determine 6*b(k) + 5*n(k).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*d + 126*d - 96 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1899, -1, -5, 0 in descending order.\nAnswer: 1899, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -23. Suppose 3*m - f*m = 3*n - 20, -5*n + 34 = -2*m. Suppose -n = -2*g + 16. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 + (0 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 10:58 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 10:14 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((-10)\/8)\/5. Sort 1, -4, b, -3 in decreasing order.\nAnswer: 1, b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 575145 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9 = -1. Suppose x*u - 9 = u. Solve -4*s - 2 = -3*l + 3, u = -l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 86*r**2 - 41*r - 35. Let v(b) = -33*b**2 + 16*b + 14. Let w(n) = 5*o(n) + 13*v(n). Let l(q) = -q. Determine 4*l(p) + w(p).\nAnswer: p**2 - p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1671*f**2 - 148*f + 1055132?\nAnswer: 3342*f - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - 15\/(-8))\/(70\/(-790)) and -3\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -1831\nAnswer: 1826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-7)\/(-5))\/(21*56\/(-2940)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 + -8.82975195643.\nAnswer: 1.17024804357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 10\/753?\nAnswer: 10\/753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 595?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -430 + 422. Let u be 9 + n - (-312 + (-1 - -2)). Calculate the greatest common factor of 24 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -4, 0.2, 123\/17 in decreasing order.\nAnswer: 123\/17, 0.2, 0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 864.1344 minutes to milliseconds.\nAnswer: 51848064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(360))\/(sqrt(128)*1).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 56, 3.\nAnswer: -1, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/9, 0.8, -14 in descending order.\nAnswer: 0.8, 0.4, 1\/9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/231 and 149\/8087100?\nAnswer: 88958100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 12*y + 2. Let s(w) = -4*w - 1. Let r(n) = 6*f(n) + 17*s(n). Let l(u) be the first derivative of -11*u**2\/2 + 14*u - 15. Calculate -3*l(k) - 8*r(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 334 = -19. Is 77 a factor of ((8008\/(-65))\/14)\/((-2)\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (1 - (-4 + 8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25170 and 742785.\nAnswer: 1246393230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.78*0.3.\nAnswer: -6.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11130571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 44.\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (7 - 8) - -4 - (-8 + -11 + 17)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 2, a: 3, s: 13}. What is prob of picking 1 n and 1 s?\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13730*u - 61706*u - 26075*u - 25527*u.\nAnswer: -127038*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeaeiiijei. What is prob of picking 1 e and 1 a?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-6))\/(4 - (13 - (-477)\/(-54)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 87. Solve -4*k = -i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*x = -81*x + 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 - 86. Let m(w) = 4*w + w - f - 5*w + 4*w. Let s(q) = 2*q. Determine s(m(h)).\nAnswer: 8*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -25286537.84 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1513 from -37698.\nAnswer: -37697.8487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -60.9991. What is i rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 132233 + 4?\nAnswer: 132240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1 + 89*l**2 + 6*l + 43*l**2 - 136*l**2 - l - 3*l. Calculate s(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267\/2470 + 2\/247. Let g = 2.05524 - 0.05524. Which is the smallest value? (a) q (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111108 divided by 6.\nAnswer: -18518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - 5*d**2 + 3*d**2 + (2 - d - 2)*(-61*d - 784 + 784) + 2*d**2 + 0 + 0.\nAnswer: 61*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/1 - 348\/88 and (-166)\/20*(-10)\/(-12).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u - 2 = -3*r, -2*r + 6 = u. Suppose -u*o + 66 = o. What is the greatest common divisor of 33 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -467130.69 rounded to the nearest 100?\nAnswer: -467100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.473604 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 8. Let z(q) = q**3 - 3*q + 42 + 6*q**2 - 55 - 2*q. What is the tens digit of z(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -59*m**2. Let k(j) = -3*j. Determine k(i(b)).\nAnswer: 177*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 519 - 2542\/5. Calculate the common denominator of o and -30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 95 = 3*n, 3*j = -2*n + 38 + 20. Suppose 0 = 6*x - 2*x - j. Let s be (-14)\/(-8) - (-1)\/x. Solve 15 = -3*g, -s*g + 6 = -k - 4*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 5*g**2 - g + 7. Let y(b) = -b**3 - 4*b**2 - b + 6. Suppose -l + 21 = 2*l. Give l*y(f) - 6*j(f).\nAnswer: -f**3 + 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1088) + 0.\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 4*i - 6*i + 7*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 4, g: 9, n: 1}. Give prob of picking 2 g and 1 r.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 8 = -v, -133*z = -3*v - 132*z + 47 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 579129?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6438\/36 + (-1)\/(-6). Let h = 203 - s. Calculate the greatest common divisor of h and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3)*(-24)\/16. Let y be (-148)\/(-18) + l\/(-9). Solve -t + y = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 999307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1757, -6996, -15725, -27944, -43653, -62852, -85541?\nAnswer: -111720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 101?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.6 + -9. Suppose l + 4*l = 5*h - 25, -l = 3. What is the nearest to h in 3\/4, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-1 + 0 + 0) - (-87 + (-82 - -178)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1\/786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30050078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1464.066 nanometers?\nAnswer: 1.464066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1627 - 131*n + 1627)*(-4 + 3*n**2 + 0*n + 16*n - 14*n) to s + r*n**2 + z*n + l*n**3 and give z.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 30. Let w be o(-16). Let s = w + 38. Let q = -6 + 19. Calculate the highest common divisor of s and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -464.65160769 + 0.65257569. Let u = 464 + o. Round u to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/27)\/(4\/6). Let p = -4.7 + -1.3. Let g = p - -3. Sort -0.3, g, o.\nAnswer: g, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11387 - 3a4?\nAnswer: 10a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 2, -14, -48, -106?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992321564?\nAnswer: 2, 13, 19083107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3427 - 48*x**2 + 3427.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**4 + 21*d**3 + d**2 - 7702*d.\nAnswer: 60*d**2 + 126*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3 - 2*u**2 + 4*u**2 + 2*u**2. Suppose m - 4*m = 180. Let k = -52 - m. Let i(g) = -11*g**2 - 8. Determine k*w(v) + 3*i(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 188, 1250, 3152, 6002, 9908?\n\"Answer: 18*s**3 + 312*s**2 - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7947 is divided by 2641?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1. Let w(t) = -t - 10. Let x(i) = 2*h(i) + 2*w(i). Let g be x(-13). Which is the closest to -1\/9? (a) 1\/9 (b) -3\/8 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21335 (base 6) to base 5.\nAnswer: -43224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2324.4 + 2335. Which is the nearest to -2? (a) 2\/7 (b) -2\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -39*i - 146. Let n(b) = 25*b - 2. Calculate -4*n(l) - p(l).\nAnswer: -61*l + 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -194810148 minus 508071.9?\nAnswer: -195318219.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(390)*1*-1)\/sqrt(10))\/((1*sqrt(15) + sqrt(15))\/sqrt(5) + sqrt(3) - sqrt(147)*2).\nAnswer: sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4 - 0. Let o(l) be the third derivative of l**5\/15 + 18*l**2. Calculate o(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 0.68, 3\/2, 0.28?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/20*0\/(-3). Solve -5*j + 5*i - 10 = v, -5*i = 2*j + 3*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -327.07?\nAnswer: 326.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4877612629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 34*u - 134. Let j be s(4). Solve -6*r = -22 - j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17180676 divided by 3417\nAnswer: -5028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2404492, -4808975, -7213458?\n\"Answer: -2404483*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26097.52 litres to millilitres.\nAnswer: 26097520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 834 (base 10) to base 13.\nAnswer: 4c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 4*a + 2 - 3 - 5*a to the form u*a + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*j**2 + 142*j - 142*j)*(-2 + 2*j**2 + 2) to z*j**3 + t*j + q + u*j**2 + s*j**4 and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25345022 + -416?\nAnswer: 25344303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 q when four letters picked without replacement from qqzzzzz?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -115*g**7\/14 + 23*g**4\/12 + 7*g**3\/6 + 3332*g**2. Find the second derivative of h(d) wrt d.\nAnswer: -20700*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29b32 (base 12) to base 15.\nAnswer: 1259b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**2 - 24*k**3 + 25*k**3 - k**2)*(-k + 2 - 2) in the form a*k**2 + b*k**4 + s*k**3 + y + z*k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-11)\/((-11)\/4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 7:47 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100607413 is divided by 16767900.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*g**2 - 2*g**2 - 3*g**2 + (-2*g - 7 + 7)*(0*g - 3*g + 4*g) + (1 - 1 + g)*(4*g - g - g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*x - 31*x - 954605 + 953682 = 0 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(45) + sqrt(405)*-2 - sqrt(45))\/sqrt(9) - -3*(-1*sqrt(45) + (sqrt(405))**2).\nAnswer: -45*sqrt(5) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -1. Suppose 6 = 5*d - 4. Find the second derivative of d*m**c - m + m - m wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 138751 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15\/((-690)\/23)*12\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 6 = -4*l, 20 = a - 4*l. Let o(j) = j**3 - 5*j**2 + 6*j - 11. Calculate o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*o**2 + 272*o**2 - 532*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 909833, 1819666, 2729499, 3639332, 4549165?\n\"Answer: 909833*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w + 307 = 23*w. Let u = w + 309. Solve u = a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - (-174)\/24)*20. Let z be ((-1)\/(2\/(-20)))\/2. Let l(x) = 2 - z - 4 + 2*x. Give l(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4100 - 4091. Let n be 2\/(-7) + (-886)\/(-14). What is the highest common divisor of n and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -2*u**3\/3 + 4. Let z(a) = -a + 7. Let x(j) = 25. Let y(w) = -x(w) + z(w). Determine y(b(d)).\nAnswer: 2*d**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6445 divided by 9722?\nAnswer: 6445\/9722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/10*4\/3. Suppose 3*o - m*o - 5 = 0. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87157158*z**3 + 3766056*z.\nAnswer: 522942948*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 16 - 7\/5*f**5 + 0*f**4 - 9\/2*f**2 + 0*f**3 + 0*f. Find the second derivative of r(l) wrt l.\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2\/x)\/((x\/x**(-4\/11))\/x) assuming x is positive.\nAnswer: x**(7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -151897 or -151959?\nAnswer: -151897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 624, 2175, 4762, 8385, 13044, 18739?\n\"Answer: 518*u**2 - 3*u + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + y**2 - y**2)*(1 + 3 - 5) + y**2 + 2*y**2 + 0*y**2 + 2.\nAnswer: 4*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 0 (c) -2\/11 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*a**2 + 88*a**2 + a**5 - 45871*a**3 - 2*a + 45871*a**3 + 8*a**6 wrt a?\nAnswer: 960*a**3 + 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 186 and 9.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 + -58. Let b = 159191.0028 - 159145. Let k = b - t. What is k rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97146 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 4*b**2 - 2*b - 6. Let x be (-10)\/3*(-18)\/(-15). Let w be k(x). Suppose -16 = -5*n - w*f, 4*n + 0*n = 2*f + 20. Solve -p - 7 = -n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5126743295.\nAnswer: 5, 17, 131, 460417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -199118 or -199120?\nAnswer: -199118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1404\/(-36))\/(-195)*3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170844.9 months in millennia?\nAnswer: 14.237075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t**2 + 2*t + 1. Suppose d + 101 = -8. Let u = d - -108. Calculate y(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*j + 2*b = 2098, 4*b + 4196 = 2*j. Suppose -2*o + 9408 = -2*v, o - 2611 = 2*v + j. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 17*m + 229, 2*w - 16286 + 16076 = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 10 = -5*j, -3*j - 5 = -17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 115 - 37. Calculate the common denominator of i\/(-8)*(-6)\/21 and 1\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -2)*(-1 + 2). Let k be (3\/2)\/(3\/36). What is the greatest common divisor of k and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -5157.\nAnswer: -56727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.5 - 8. Let q = 0.7 + 0.3. Let g(v) = -2*v**2 + 5*v - 4. Let y be g(2). Which is the biggest value? (a) y (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. Let r = w - 0. Which is the smallest value? (a) 0.5 (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 73*q**2 - 217*q - 738. Determine p(76).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1*(-3)\/6)\/2)\/(-2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from hyx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 19*h - 13*h - 180, 0 = 4*x + h - 180. Solve -19*m + 10*m = -x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/530 and -97\/668086.\nAnswer: 177042790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.238 + 0.738. Which is the nearest to -1? (a) -3\/2 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 613 or 610?\nAnswer: 610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012021031 (base 4) to base 2.\nAnswer: -1000110001001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 147275973 to the power of 1\/3, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0442 - 245.2469\nAnswer: -245.2027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2696297 is divided by 457?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c - 203695 = -204094 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -84073 (b) 0.1 (c) 2\/3 (d) 8\/3 (e) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003 is divided by 454.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h + 3. Let d(r) = -2*r - 1. Let z(l) = -l**2 - 7*l - 1. Let x be z(-3). Give x*d(g) + 4*c(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478888, -479390, -480226, -481396, -482900?\nAnswer: -484738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*m - 88*m + 193*m)*(6*m - 3*m - m).\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.722 rounded to 1 decimal place?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36, 18, -24, -90, -180, -294?\n\"Answer: -12*q**2 + 18*q + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 4. Suppose 4*z - n*b - 518 = 0, z - 168 + 49 = -4*b. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3945.\nAnswer: 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/48 + 2\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoynyioaoic. What is prob of sequence icn?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 3*w - 2*w)*(4 + 10 - 3) + (-w - 3 + 3)*(0 + 3 - 5) - 30*w + 16*w - 20*w to the form u*w + i and give u.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, 581, 1218?\nAnswer: 1855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 29*q - 9. Let c be t(13). Let x be (160\/c)\/(4\/6) - 3. Suppose 78 - 26 = r - j, 4*r + x*j - 181 = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*q**2 + 4*f**3 + f*q**4 - 4*f*q**2 - 9*f*q - 3*q wrt q.\nAnswer: 2*f**3 + 12*f*q**2 - 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 1 - 1)*(-7 - 8 + 14)*(1 - 1 - 2*x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.6, 3\/7, -1.\nAnswer: -1, 3\/7, 8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 6:00 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4149815, -8299632, -12449449, -16599266, -20749083?\n\"Answer: -4149817*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/130 and -43\/12325.\nAnswer: 320450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 - 265*r**3 + 1211*r**3 + 5*r**2 - 948*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4654431327 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 1004746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/972*-32*48\/(-64)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-18)\/(6 - 0). Let w be -4*1\/v + (-4)\/8. What is the nearest to -3 in 2, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 times 17.5\nAnswer: -682.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - -913604?\nAnswer: 913623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 8049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2985335807 to the power of 1\/2, to the nearest integer?\nAnswer: 54638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 211.6957.\nAnswer: 211.6957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, 49, 56, 47, 16, -43?\n\"Answer: -j**3 + j**2 + 21*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - 190\/(-16)*-2 and -121\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 879 = 3*g - 129. Suppose -2*v + 9*v = g. Suppose 2*o - v - 150 = 0. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -643*l = -626*l - 781099. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203875 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, -60\/23, -0.11, 4 in descending order.\nAnswer: 4, 0.1, -0.11, -60\/23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -27 + -33 + (13 - 1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11379, 11356, 11319, 11268, 11203?\n\"Answer: -7*q**2 - 2*q + 11388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(567) + 1 + sqrt(567) + 1 + (sqrt(567) - (sqrt(567) + 0))**2 + ((3 + -1 + sqrt(567) + sqrt(567) + sqrt(567))**2 + -4)*-2.\nAnswer: -10207 - 198*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219778?\nAnswer: 2, 13, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81085 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -1. Let a = 77.1 - 11.6. Let y = 66 - a. What is the closest to -1\/3 in y, -5, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 plus -5739?\nAnswer: -6099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38808765 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -34*g - 158. Let j be k(-5). Calculate the highest common divisor of j and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 5*s**2 - 2*s - 8. Let m be c(8). Suppose 7*j - m = 273. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -16 + 8 + 13 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 25 - s**2 - 33 - s + 19 - 7*s. Let p be a(-9). Suppose p*v = 2*n - 40, -5*v + 3*v + 26 = n. 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: What is the square root of 1933588435 to the nearest integer?\nAnswer: 43973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28267 - 10976. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.4 - -27.3. What is the closest to 1 in c, -4, -7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34554\/5 + -6910. What is the third biggest value in -2\/11, -2, 3, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.2 + -12. Which is the third smallest value? (a) -0.5 (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*b + 15*b + 392 = 1456 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q**4 + 52*q**3 + 20*q + 11*q + 635*q**2 - 11*q - 571*q**2 = 0. Calculate q.\nAnswer: -5, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8206777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 234.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4204101 divided by 253.\nAnswer: 16617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 39*a - 39*a. Let w be (6 + 0)\/((-3)\/(-2)). Let g(d) = -3*d**2 - 3*d**2 + w*d**2. Give g(o(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 2*b**2 - 2*b - 1. Let m be p(-2). Let r(h) = 2*h**2 + 5*h - 7. Let o(c) = -c**2 - 3*c + 4. Give m*r(s) + 5*o(s).\nAnswer: s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22484, 88311, 198022, 351617?\nAnswer: 549096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 != 9685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5 - 20*o**4 + 50*o**3 = 0. What is o?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 - 4 = 0. Suppose 4*m = -5*y + 24, v = -4*y - 5*m + 24. Which is the third smallest value? (a) y (b) 2\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 482717 divided by 14\nAnswer: 482717\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1989032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -30*g**3 + 35*g**3 + 0*g - g + 2*g**2. Suppose 4*p - 2 = -170. Let m be (48\/p)\/4 + 9\/7. Give d(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-78)\/2 - (-5 - -5). Let l = q + 116\/3. Let k = -0.23 - -0.13. Which is the third biggest value? (a) k (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5100*l**4 + 393*l**2 + 14 wrt l?\nAnswer: -122400*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b + 12*b**2 - 17*b**2 - 11*b.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - g + 0*g + (-5 - 15 - 2)*(g - 1 + 1 + 2 + 2*g - 2 + (3 + 0 - 1)*(-3 + 3 + g) - g - g + g - 4).\nAnswer: -89*g + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 - 12*w - 39. Let z be d(6). Calculate the highest common divisor of z and 1472.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 33, 63, 101, 147?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59438*-230.\nAnswer: 13670740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.28 + -1.8. Let u = 29.48 - f. Let y = u - 28.9962. What is y rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j**2 + 3*j - 3 + 35*j**2 + 132*j**2 - 3*j**2.\nAnswer: 142*j**2 + 3*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6398 and 17.\nAnswer: 6415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -20*j - 134. Let u be c(-7). Let h(l) = 13*l**3 + 6*l**2 - 6*l + 6. Let y(g) = 12*g**3 + 5*g**2 - 5*g + 5. What is u*y(s) - 5*h(s)?\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 217?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - 30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 3. Let u be q(-3). Let x(z) = u + 4 - 4 - z**2. Let s(n) = -11*n**2. Let i(f) = 72*f**2. Let r(j) = 5*i(j) + 32*s(j). What is r(x(w))?\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3126))\/(2\/18). Suppose 440*j = 26*j - 9*j. Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -458a - 4?\nAnswer: -4591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2965*s + 96561. Calculate b(33).\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/7*i**2 + 0*i**3 + 0*i - 3\/7*i**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 15. Suppose 2*j = -5*j - 14. Which is the nearest to x? (a) -2\/5 (b) j (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45923202.\nAnswer: 2, 3, 13, 229, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2 - j + 6*j + j**3 - 2 + 0*j**3 + 7*j**2. Let b be o(-6). Suppose -63 = -b*a + 1. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520*a**2 + 2251 - 2251.\nAnswer: 520*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/11, 0.3, 2\/9, 0.1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 3*j - 4*j)*(5007*j**2 - 5007*j**2 - 29*j**3 + (-j - 1 + 1)*(2*j**2 + 3*j**2 - 6*j**2) - j**3 + 5*j**3 - 2*j**3).\nAnswer: -52*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1232132 (base 5) to base 2\nAnswer: -101110111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*u + 21*u + 26*u)*(6*u**2 + 0*u**2 + u**2).\nAnswer: 399*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -4\/3, -0.3, -334?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 192263382 to the power of 1\/3, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164 (base 8) in base 10?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 - 88 - 5 + (2 + 1 + 0)*(-4 + 2 + 0))*(4*d**4 - 2*d**4 - 4*d**4)*(0*d + d + 0*d).\nAnswer: 332*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 810.\nAnswer: 1\/810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-5\/4))\/((n\/(n*n\/(n**(-2\/17)*n))*n)\/n))**26)**41 assuming n is positive.\nAnswer: n**(-4797\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-208)\/(-4))\/2 - -2) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose -4*w - x*i + 4 = -4*i, -3*w - 4*i + 14 = 0. Solve h + h - 17 = 5*v, -w*v - h - 5 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*f = 29*f - 72*f - 1410 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 12*y = 60. Suppose 3*q = 2*x - 16 - 5, -5*q + 31 = y*x. Solve 5 + 4 = x*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 54. Let l = 24 - g. What is the closest to l in 3, -5\/4, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-117 - (2 - 0))\/(28\/(-196)). Let j = w + 330. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d - 9*d - 17*d + (1 + 3 - 2)*(4 + 2*d - 4) in the form q*d + u and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -4103*q**5\/5 - 12095*q**3\/3 - 3761. What is the third derivative of b(m) wrt m?\nAnswer: -98472*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -747 + 1329. Suppose -14*v + u = -608. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcip when four letters picked without replacement from wcwiioiiwipipi.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -97 in -1, -56, -5?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222122102222002210 - -10?\nAnswer: 222122102222002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 627 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14586*132.27.\nAnswer: 1929290.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 443189 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11721 and 5.258.\nAnswer: 61629.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -667*k - 5344. What is w(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34908710?\nAnswer: 2, 5, 23, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 498864 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17051821.\nAnswer: 613, 27817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 12:36 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(-1 + sqrt(72))*5 + (sqrt(72) + sqrt(72)*1 + 2)*-5 + 4)**2.\nAnswer: -1200*sqrt(2) + 2200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.21687 rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1775\/35 - 3)\/(84\/24402).\nAnswer: 83, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 12. Suppose 24 = 5*j + 4. Suppose n = y - 3*y - j. Is 2\/5 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -731217, -2924875, -6580973, -11699511, -18280489, -26323907, -35829765?\n\"Answer: -731220*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)*w)\/w*w**(-1\/5)\/w)\/((w**5\/w*w)\/(((w**(3\/7)\/w)\/w)\/w*w))*w**(-4\/9)*w**7\/w*w**(3\/7)*w**0 assuming w is positive.\nAnswer: w**(-878\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a second in milliseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -5 (b) 17\/516 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h**2 + 60*h + 1622. What is x(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3\/7)\/s)\/(s*s*s**(-3)))\/(s**(-1\/3)*s\/s**(-4)) assuming s is positive.\nAnswer: s**(-86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n - 6. Let t be (1 - -2)\/(3\/(-4)). Let a(i) = i**2 + i - 9. Let g be a(t). Let j(o) = -4*o + o - 5 - o. Give g*p(u) - 4*j(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 155840, 311699, 467558?\n\"Answer: 155859*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0042655514 rounded to four decimal places?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/6083253 and 1\/92907864?\nAnswer: 1021986504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17853538 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 181463203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 407d?\nAnswer: 407a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-615*q**2 - 1272*q**2 + 997*q**2)*(-4 - q + 2 + 3*q) - 6*q**3 + 3*q**3 + q**3 + (2*q**2 + 0*q**2 - q**2)*(-q + 0 + 0) + q**3 - 4*q**3 + q**3.\nAnswer: -1785*q**3 + 1780*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 21436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 539, 1123, 1697, 2255, 2791, 3299, 3773?\n\"Answer: -x**3 + x**2 + 588*x - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20002013932 and 0.31.\nAnswer: -20002013931.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.7 or 59379258?\nAnswer: 59379258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*o + 267*o - 8 = -r, 3*r = 5*o + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7741245 micrograms?\nAnswer: 0.0000000007741245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (1 - (54 + -36))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 14*f - 16. Let q be p(-13). Let x(g) = 778958*g - 778959*g - 1 + 0. What is x(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-64)*2\/7\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*p = -7*p - 254, -y + p + 50 = 0. What is the remainder when 97 is divided by y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003940161 to four dps.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 705 and 0.18.\nAnswer: 705.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 12. Let l be b(8). What is the tens digit of 4\/((-41)\/(-119) - l\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of -0.06894307 and -14.\nAnswer: -14.06894307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81818021 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l**5 - 452*l**4 + 2536*l**3 - 3712*l**2 - 1920*l = 0. Calculate l.\nAnswer: -2\/5, 0, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50941 is divided by 53.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*((-210)\/140)\/(-1 - (2 + 66)). Which is the nearest to 1\/4? (a) j (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s - 12*s - 44*s)*(205 - 205 - 2*s**4 + (-s**4 - s**4 + s**4)*(1 + 1 - 3)).\nAnswer: 49*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-4 - 1) - (-9 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 11, b: 5}. What is prob of picking 3 i?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-15) - -5*(-28)\/175)\/(137\/(-5754)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 1 + -4 + -5 + 7. Suppose o = -3*n + 4*n - 4. What is the second derivative of 0*v**4 + 14*v**4 + n*v**4 - 20*v wrt v?\nAnswer: 216*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004840948 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 833 and 6664.\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1721 or 1718?\nAnswer: 1718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*((-3*n - 2*n - 7*n)*(-2 + 3 - 2) - 4*n + 2*n + n).\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 0.2673, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(425)*-1 - (3*sqrt(425) + sqrt(425) + -2) - (-5*(sqrt(425) + -2 + sqrt(425)) + (3 + sqrt(425)*-3 - sqrt(425))))**2.\nAnswer: -1440*sqrt(17) + 34681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = -3*x + 82, -2*x + 4*t + 60 = 0. What is the highest common divisor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2. Suppose -3*w - 22 = -3*o + 2*w, 0 = -2*o - w + 6. Let y(b) = b - 1. Let u be y(o). Let g(z) = -2*z + u*z + z. Give c(g(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39.4 - -39.7. Which is the nearest to -0.1? (a) -3 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 17. Let j = 0.9 + s. Which is the nearest to 0.2? (a) -4 (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + c - 1. Let p(d) = d**2 - 4*d - 7. Let n(g) = p(g) - 3*v(g). Determine n(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 + 382*w + 101 - 130*w - 101 - 130*w - 122*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (10\/(-4) - -1)*(-42 + 44)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14 - -3) + 8 + (-2673)\/(-894))\/(18\/(-24))?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11812338 divided by 29.\nAnswer: -407322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/41280?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -369.2*-0.2\nAnswer: 73.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 10\/9*x**6 - 1\/3*x**2 - 5\/4*x**4 - 8\/15*x**5 - 4 + 11\/9*x**3 + 0*x. Determine r so that b(r) = 0.\nAnswer: -1, 0, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 7320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32791480.84 rounded to the nearest 1000?\nAnswer: 32791000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1, -0.03, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*((-3)\/(-2))\/(-3). Let u be 3 + ((-120)\/(-5))\/(-6). Let j(i) = -5*i**3 - i**2 + 1. Let m be j(u). Sort w, m, 4, -3 in decreasing order.\nAnswer: m, 4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.02 (b) -0.028 (c) -2\/29 (d) 3 (e) -0.4 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (-41 + 21 - -44)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 615\/(-6)*1614\/(-12105).\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -k. What is the closest to -0.2 in -2, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -277 - -37?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 21. Let x be 4\/(32\/132) - d\/2. Let t be (-3)\/2*12\/x + 157001. What is t rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 17, 4, 2 in descending order.\nAnswer: 17, 9, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 79*m**2 + 5*m + 15. Let j(g) = 150*g. Give j(o(v)).\nAnswer: 11850*v**2 + 750*v + 2250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/15 + 6\/10. Let j = l + 5. Solve -4 = 2*h - 2*w, 2*h + 2*w = h + j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + 3*sqrt(98) + sqrt(98))**2 + 5 + 2 + (sqrt(98) + 1 - sqrt(98))*-3 + -2.\nAnswer: 56*sqrt(2) + 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125477 - -125476.9. Let q = -51 - -253\/5. Sort 1, g, 14, q in increasing order.\nAnswer: q, g, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 4 in decreasing order.\nAnswer: 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13009 to three dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -35, -74, 47 in decreasing order.\nAnswer: 47, 1\/3, -35, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 263 = -3*x + 786, 5*c + 10 = 0. Suppose -157 - x = -5*t. Let a = -216 + 222. What is the highest common divisor of t and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**2\/2 + 17*g + 14. Let x be n(7). Let q = x - 19. Solve 0 = k - 4*v + q, -4*k = 5*v - v - 20 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 43. Determine r(-13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10628 is divided by 76.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + 2 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 12 - 0. Suppose -5*k + h = 4, -6*k + 5*h - 20 = -4*k. Suppose x = -k*x. Solve o*p + 2 + 4 = x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, h: 2}. Give prob of picking 2 a.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1044 = -6*x + 9*x. Suppose 3*r + x = 7*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 - 1318*l**2\/9 + 21412*l\/3.\nAnswer: 2*l*(l - 606)*(l - 53)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tptppptltlpppppll. What is prob of sequence pll?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/27 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173356770 divided by 6.\nAnswer: -28892795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 7346.\nAnswer: 51422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**5\/35 + 2*j**3\/3 + 12*j**2\/7 + 26*j + 5. Let c(w) be the first derivative of x(w). Let c(y) = 0. Calculate y.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 353735 (base 8) to base 13\nAnswer: 42ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*7*13\/13. Suppose -4*h - z + 3 = -4*b, -3*b + 13 = -h. Calculate the remainder when 46 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 234 + -228. List the prime factors of t\/39 - 10\/65 - -272.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185336 divided by -4?\nAnswer: -46334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -238, -479, -720, -961, -1202?\n\"Answer: -241*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 277 - 22?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 1\/4, 0.4, -4, -0.46 in decreasing order.\nAnswer: 0.4, 1\/4, -0.46, -1.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -20. Let p = -16504\/6903 + 3\/1534. What is the common denominator of p and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 4*a + 7. Let k be d(5). Suppose -5*o + c + 12 = 0, -o - k*c - 9 = -6*o. Solve 0 = -o*h + b - 4, 2*h = 3*b + 1 - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -3*j - 27, 0 = -5*j - 2*n - 16 - 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 2*l. Let b be p(-1). Let n be 4\/(-6 + 2) + b. Solve w - n - 17 = 4*q, 3*w - 12 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 42. Let y = 24.5 + j. Which is the smallest value? (a) 0.3 (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s - 7. Calculate r(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 528 divided by 44.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*k - 2 = 0, -b + 5*b - k = 10. Sort b, -4, -3 in ascending order.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/765 + (-25)\/(-18)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -0.35. Which is the nearest to -0.1? (a) 1\/6 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144519647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12568235 divided by -23?\nAnswer: 546445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*g**4 + 4*d*g + 19*d + 43259*g**5 - 2*g - 5 wrt g.\nAnswer: -12*d*g**2 + 865180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1105932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 199 + (-4 - 4)\/4. Let f = p + -1579\/8. What is the nearest to -3 in f, 2\/3, 1\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3636 divided by 6.\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)*((c*c**(6\/5))\/c*c)\/c)**(-20)\/(c**4\/(c\/(c\/(c\/(c\/(c*(c*c\/(c**(-2\/23)\/c))\/c*c))))))**(-21) assuming c is positive.\nAnswer: c**(-778\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11681 - -11683. Let q = 3 + -3. Let o(t) = t**2 - 6*t - 2. Let n be o(7). What is the closest to -3 in w, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 16*w**2 + 79*w - 5. Let c be p(-5). Suppose c = 8*u + 737 - 5057. What is u rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10747 is divided by 3560?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -66 times -286824\nAnswer: 18930384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 200*a - 199*a. Let z be (-3)\/9 + (-13)\/(-12). What is the third smallest value in -5, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3 + 29*z**2 - 16*z - 336 = 0 for z.\nAnswer: -3, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 9*d + 3682. Let u = d + 1317\/5. What is the fourth smallest value in 0.5, -3, -0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, w: 2, y: 2, r: 3, x: 2, f: 4}. What is prob of picking 1 k and 2 f?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (20\/60)\/(1035\/(-783) - 8\/(-6))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6177 - 2884 = 173*a - 1622 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 22080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 119466 divided by -59733\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 78 = 2*y. Suppose -18*r + y - 24 = 0. Put -10, r, 5 in descending order.\nAnswer: 5, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*s = 179*s - 450. Let l be ((-20)\/s)\/((-72)\/(-690)). Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (11 - (5 - -2)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 736.\nAnswer: 736.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 - 9*w. Determine o(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3\/2, 7, 881, -19?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90278.39t to grams.\nAnswer: 90278390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-1 + 2*sqrt(832)) - (sqrt(260)\/((1*sqrt(55))\/sqrt(11)))**2) + 5)*-1.\nAnswer: 43 + 64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198 + -72. What is the derivative of -19*g + 207*g**2 + 209*g**2 - z - g - 412*g**2 wrt g?\nAnswer: 8*g - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 3*o**3 - 4*o**3)*(0 + 4 + 1).\nAnswer: -45*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 92597 divided by -97\nAnswer: -92597\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*t**4 + 24*t**2 - 3*t - 41653 wrt t?\nAnswer: 108*t**3 + 48*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*h - 469, -4*h = 4*s - 5*h - 371. Does 31 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2626 divide 31467358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 9*y + 7. Let h(t) = 2*t**2 - 18*t - 14. Let n(l) = -7*d(l) - 4*h(l). Let a be n(9). Suppose k = -2 + a. Solve 16 = -k*m - 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6552.7743 plus -20?\nAnswer: -6572.7743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**3\/6 + t**2\/2 + 6*t - 1. Let h(f) be the first derivative of z(f). Let d(m) = 2*m + 2. Give -2*d(k) + 3*h(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) - 6\/(-9). Let o be 16 + (-2 - -2) + 0. Let t(k) = 1 + 15*k - 4 - o*k + k**2. What is t(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 455 divided by 2\nAnswer: 455\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -29. Suppose -3 = c - 3*g, -6*g + g = -c + 1. Let x = c - r. Solve -x*i + 17 = 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/24 and 149\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 85818683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 16*u**2 - 14*u + 284. Let t(f) = -7*f**2 + 7*f - 143. Let m(d) = 6*k(d) + 13*t(d). Find the first derivative of m(i) wrt i.\nAnswer: 10*i + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2 - 6411*c - 1644066 = 0 for c.\nAnswer: -1839, -298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/3 - -4)\/3. Let l = 355 + j. Does 52 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47914 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + -2*-1*sqrt(78) - sqrt(78) - (sqrt(78) - (sqrt(78) - 5*sqrt(78)*-1)))\/(-2*1*sqrt(486) + sqrt(486))*5*1.\nAnswer: -35*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -1234, -2764, -4906?\nAnswer: -7660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -11 - (2\/(-1) + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 - 4*w**3 + 2*w**5 - w**2 + 2*w**5 + w**2 + (-5*w**2 + 7 - 7)*(w**2 - w**2 + w**3).\nAnswer: -w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) - (sqrt(76) + sqrt(76) + -2))*-4) + sqrt(76))**2 + -4 + (sqrt(76) + -2*sqrt(76))**2 + -1.\nAnswer: -64*sqrt(19) + 439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1823418.\nAnswer: 2, 3, 33767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/97109 and 55\/1262417.\nAnswer: 1262417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ce7b (base 16) in base 3?\nAnswer: 2200111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-68)\/(-22) - 86\/946. Factor 2\/3*b**a + 1\/3 + 13\/6*b**2 + 11\/6*b.\nAnswer: (b + 1)*(b + 2)*(4*b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -10*x**3\/3 - 146*x**2 - 282*x + 4383. Let c(q) = 0. What is q?\nAnswer: -141\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1606 + -1566. Solve 13*y = o*y + 54 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 15, 55, 121, 219, 355?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 8584380.\nAnswer: 8584380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11*j + 20. Determine d(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**8\/1680 + f**7\/525 - 3*f**6\/200 - f**5\/150 + f**4\/15 - 718*f**2. What is n in o(n) = 0?\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2898 - -4324. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) -46139383 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055 times -0.313?\nAnswer: 0.017215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -77. Let i be 7\/28 - (-62)\/w. Is 0.3 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-120375)\/(-107))\/(-45)*1\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054116 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 3, -4.\nAnswer: -4, 3, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxk. Give prob of sequence zx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 9. Let k be b(7). Let c be 3*((-2)\/(-6) + k). Let g = 7 + c. Solve 0 = 3*r + g*r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9948\/20 - 7) + -8. Let d = 482 - n. Let g = 5.5 - 4. What is the third smallest value in 3, g, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 10 - 2 = 0. Let g be ((-9)\/v)\/((-3)\/(-12)). Suppose 24 = 3*s - g. What is the highest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-42)*-3)\/1. Which is the second smallest value? (a) 1 (b) -2\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1427 to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*m**3*o - 1591*m**2*o - 5*m*o - 2*m - 170*o + 712 wrt m?\nAnswer: 9*m**2*o - 3182*m*o - 5*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -40*r**3 - 3*r**2 - 2*r - 2. Let h be m(-2). Suppose h = 7*u - 747. Suppose -4*s + 54 = k, -4*k = -4*s - u - 25. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47 - -839?\nAnswer: 7b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 151791760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2023.58 centuries?\nAnswer: 202.358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*b = -595*b - 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 303 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 3*a. Let i be w(-5). Suppose -3*o - r + 62 = 0, -o + 0*o + 5*r + i = 0. Suppose 3*q + q = o. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 17*y**3 + 7*y**2 - y - 6. Let z(n) = 8*n**3 + 3*n**2 - 3. Let a(t) = -4*p(t) + 9*z(t). What is the tens digit of a(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 - 18 = 0. Let y(w) = w**3 + 8*w**2 + 5*w + 4. Let n be y(t). Let v be 6\/n - (-4)\/6. Which is greater: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*(-64)\/120?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 5. Let a be h(-3). Solve 7*b - a*b = -6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1254 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 443694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -49*a**6\/30 + 26*a**2 + 9*a + 37. Let v(n) be the first derivative of y(n). Differentiate v(c) wrt c.\nAnswer: -196*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 3 - 1\/((-1)\/(-5)). Let d(h) be the third derivative of -1\/120*h**6 - 1\/12*h**5 - 1\/2*h**3 - 1\/24*h**4 + 2*h**2 + 0*h + 0. Determine d(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 496950 + -496828.9694. Let w = 2312 - 2433. Let i = w + z. Round i to 3 decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**3 - m**2 - 2*m - 1. Suppose 0 = 2*i - 1 + 3. Let d be t(i). Let z = -0.02 - 0.98. Which is the closest to z? (a) -3 (b) -3\/8 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h + 6. Let n be y(-6). Let m(v) = -3*v - 7. Let d be m(-7). Let p = n + d. Solve p = -x - 0*x - i, -3*i - 9 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/4687 + -4693\/14061. What is the closest to -2\/7 in -54\/13, -2, c, 3\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207530519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 4*w**2 + 3*w - 6. What is g(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 0, 68 in decreasing order.\nAnswer: 68, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 522317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 7:29 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39841.196 + -39914. Let n = -73 - g. What is n rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - l - 73, 5*l = -3*r - 29 - 6 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -3, 230, 0.05, 0.4.\nAnswer: -3, -2\/7, 0.05, 0.4, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (0 - -20) - (-5)\/(1495\/(-2444))?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 3*v + 3. Let n be (5 + -5)*(-1)\/2. Let b be u(n). Find j such that 1\/2*j - 3\/4*j**4 - 1\/4*j**b + 3\/4*j**2 + 0 - 1\/4*j**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 12:55 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (-7980)\/(6042\/53)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*g - 12 = 172*g + 2*z, -10 = -4*g - 3*z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 222740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**4\/4 - 2*y**3\/3 - 216*y**2. Let j(m) = -2*m. Calculate c(j(l)).\nAnswer: -12*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + (14 - 17 - (4 + -1 + 10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 12:09 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.447862 litres in millilitres?\nAnswer: 5447.862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2202 + -2147. Solve -r = -47*m + 86 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 5*u + 38 = 0, j - 71*u - 14 = -66*u for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2646572056.\nAnswer: 2, 97, 367, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227766, -911056, -2049872, -3644214, -5694082?\nAnswer: -8199476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9050 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 7 = x + 5*k, 2*k = -5*x + 26. Suppose -5*i + i - 4 = 0, -5*j + x*i + 29 = 0. Solve -j*d - 10 = 2*t - 5, d + 28 = 5*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35.7 and -0.7.\nAnswer: 24.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -106283985.1 to the nearest 1000000.\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q - 1. Let y(d) = 8*d + 1. Let p(k) = 3*j(k) + 2*y(k). Let s be p(-2). Suppose -z - s = -37. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/30 + c**2. Let s(d) = 264 + 13*d - 264. What is s(p(a))?\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*j = 5*a - 536*j - 26, -5*a + 30 = 5*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -29*m + 1310. What is y(45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24034?\nAnswer: 2, 61, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 9 = -g, 10*x - 46*x + 36*x = 2*g + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -34.92269 + 338996704\nAnswer: 338996669.07731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3428.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = u. Let q be ((-3 - -2) + u)*1. Find k, given that -q*k**2 + 4*k**2 - k**4 - k**3 + 0*k**4 + k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**6\/5 - o**3\/2 - 7*o + 1. Let u(r) be the first derivative of w(r). What is the second derivative of u(d) wrt d?\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (57 + -43)*54\/(-72). Suppose 2*u = 5 + 1. Suppose 0*v - u*v - 33 = 0. Is v not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 30 = 0, 4*i + 32 = 7*m - 5*m. Suppose k - 2*k + 2 = -3*u, -3*k = 3*u - 6. Suppose 4*p + p = m*t - 3294, -k*t + 1646 = -2*p. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*c - 2368561463 - 2417998537. What is c rounded to the nearest one million?\nAnswer: -299000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4858372 or -3\/8?\nAnswer: -4858372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (-4)\/(-12)*0. Let c be (1 - -2) + (y - -4). Factor 2\/3*k**c - 4\/3*k**2 + 0 + 2\/3*k.\nAnswer: 2*k*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*n**3 - 8*n**2 + 0*n**2 + 62*n**3 - 5*n + 0*n**2 + 2*n as f*n**2 + b + y*n + m*n**3 and give m.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*j - 32, l = -0*l - j. Suppose -5*x + 4*x + 4*w = 61, 0 = -2*x - l*w - 146. What is the tens digit of (-5 + x)*1\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -11 + (-1 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**3 + r**2 - r. Let m(w) = 5*w**3 - 2*w**2 + w. Let f(n) = 4*c(n) + 3*m(n). Let z = 0 + -2. What is the units digit of f(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -132?\nAnswer: -52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**2 + 24*j + 448 = 0?\nAnswer: -8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 + (-108)\/12)\/(2\/8). Suppose 4*q + p*y = 1704, 0 = -3*y - 16 + 7. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + -2 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3864894 and 6138.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 1)**2 + 1 - (sqrt(72)\/sqrt(4))**2) + -3.\nAnswer: -17 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4*b**3 - 1 + b**3 - 2*b**3 + 5*b**3.\nAnswer: 8*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.326357364 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 + 9110824*c**3 - 6011313*c - 7?\nAnswer: -40*c**3 + 54664944*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*f - 342, 3*d - 3*f - 895 = -2*d. Suppose -d = -2*i - 6. Suppose -4*s + i = s. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h = 21*h + 318 + 294. Put 2, h, -5, -22, 1 in ascending order.\nAnswer: -22, h, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586809931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 57478 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)*z)\/(z*z**(-2\/15)\/z))**27 assuming z is positive.\nAnswer: z**(-252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -19.3. What is the biggest value in 0, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**4 - 6*o**3 + 10*o**2 - 10*o + 8. Let x(s) = s**4 - s**3 + s**2 - s + 1. Let h be 16\/(-4) - -8 - -4. Let b(t) = h*x(t) - k(t). Factor b(a).\nAnswer: 2*a*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -419, 31700 in descending order.\nAnswer: 31700, 3, -419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-20))\/(1\/10). What is the third derivative of 4*s**5 - 6*s**2 - g*s**5 + 0*s**5 wrt s?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -15728*(2*(-1)\/3)\/((-224)\/(-168))?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15039 + -5660. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -90.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*m + 45, 3*p + 0*p + 5*m = -35. Let q be 12\/4 + 1*3. Suppose -t + 4*t = j + q, -j = t - 6. Put j, p, 2 in increasing order.\nAnswer: p, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 812, 3280, 7422, 13244, 20752, 29952, 40850?\n\"Answer: d**3 + 831*d**2 - 32*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + 6 - 5\/(-1). Suppose u = p, -5*r + 4008 = -r - 4*p. What is r rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -0.02 (c) -1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z = -2*k + 14, 5*z = 3*k + 29. Suppose z = h - 2. Is 6\/1*14\/h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-26)\/(-4))\/13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -702, -1404, -2118, -2850, -3606, -4392, -5214?\nAnswer: -6078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 3017438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11748\/(-165) - (-30 + (4 - -14)))*10\/(-8).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -678 - -7298. List the prime factors of g.\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {b: 2, t: 4, z: 1, k: 2, m: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -31a567?\nAnswer: -31a568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1 = -13, -2*r + 10152 = 3*p. What are the prime factors of p?\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - w = 175, -s - w + 6 = -59. Let i = 76 - s. Calculate the highest common factor of i and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - 5*f**2 - 5*f**2 + (4*f**2 - 3*f**2 - 2*f**2)*(2 - 1 + 1) - 3*f**2 + 4*f**2 + 2*f**2 + f**2 + 0*f + 0*f.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22280 + 22290. Solve 4*k - 17*a - u = -15*a, -4*a = -3*k + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1699461407 - -20638259355301\/12144. Let k = g + 1\/1104. What is the common denominator of k and -1*244\/32 + 3?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306298440 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2160 and 7273440?\nAnswer: 21820320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 463*m**2 + 1. Let v(d) = 87*d. What is v(f(p))?\nAnswer: 40281*p**2 + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 12:32 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/4 and ((-355)\/(-1080))\/(9\/12).\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1942395848?\nAnswer: 2, 71, 3419711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264157193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 9:46 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*b = -2*d - 94*b - 18470789, -b = -3*d - 27706226. Let t = -12917315 + 19072722. Let x = t + d. Round x to the nearest one hundred thousand.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 + 8. Let o(b) = 7 + 2*b**2 - 600*b + 2*b**2 + 0*b**2 + 600*b. Determine 3*g(t) - 4*o(t).\nAnswer: -4*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29749508 to the nearest integer?\nAnswer: 5454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -16858 smaller than -16906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7))**11\/(b\/b**(-1))**(-8\/5)*(b\/(b*b**(-2\/3)\/b))**20*(b**0\/b)**19 assuming b is positive.\nAnswer: b**(2171\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.00596, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2242 + 2253. Solve -3 = -a + o*p - 6*p, 2*p = -2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-14)*(-188)\/470\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 33, 54, 91, 150, 237, 358, 519?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(0 + x + 0)*(-3*x**4 - 5*x**4 + 3*x**4).\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 51.9 * 17.6\nAnswer: 913.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -20 - 28. Let a be g\/(-56) - (-52)\/14. Suppose -5*n = -2*n - 2*z - 20, 20 = a*n - z. Solve -10 = 2*w + 2*v, -8*w + n*w + v = 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80072065*h**2 - 24759576*h.\nAnswer: 160144130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o**4 - 5 + 6*o + 3 + 19*o**4. Let q(g) = 10*g**4 + 5*g - 2. Let y(i) = -5*h(i) + 6*q(i). Differentiate y(w) wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/(-290))\/(31\/10 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = 23*n - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o - 1. Suppose -2*r + 6*z + 37 = z, -139 = -4*r - 3*z. Calculate the remainder when r is divided by c(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -642 + 283. Let p = 355 + m. Let l(q) = 6*q + 1 - 4*q**2 - q + 5*q**2. Determine l(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 1 = -18*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n - 12. Suppose -7 - 49 = 4*y - 4*d, 3*d = 15. Let o be f(y). Let s be (o\/(1800\/(-32)))\/(4\/10). Which is the biggest value? (a) 2 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 6*j. Let x be s(-1). Solve h + 4*y = 2*y + 13, -x*h = 5*y - 40 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56365.19647 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 4*q + 7. What is v(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/85093 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssgw when four letters picked without replacement from gsgsswsssggssswggsww.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -774*v + 57266. What is q(74)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17124297 to the power of 1\/2, to the nearest integer?\nAnswer: 4138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 13*s - 7. Let b be g(10). Suppose 2*p + 6 = -4*u, -4*p + u + b + 1 = 0. Suppose -d = -2*n + 3814, -p*d - 815 - 1092 = -n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.9. Let m = v + 0.5. Which is the second smallest value? (a) 0 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12576 - -14158. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 241807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1175 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 3*v + 28. Let t be 9 + -2 + 0 - (-2 - -5). Let w be k(t). Is w <= -17\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 3*b. Let m(t) = 3105*t**2 - 4455*t. Let o(s) = -2*m(s) + 2970*w(s). Let l(a) = 4*a. Determine o(l(g)).\nAnswer: -4320*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h - 3. Let p = -3 + 5. Let y be i(p). Suppose y*v = 71 - 6. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -4711\nAnswer: -1413.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 10 = 5*z, z + 6 = -0*m - 5*m. Which is the closest to z? (a) 3 (b) -2 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 7*n**2 + 9*n - 3. Let m be s(8). Suppose g = -4*g + 5. Suppose -3*v - g = -13. Solve 2*t - v - m = 5*a, -3*t = a - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 1. Let p be (-2 + (-18)\/(-4))*2. Let b(u) = -3*u + 3 - 1 + p*u. Let j(o) = b(o) - k(o). Let q(l) = l + 2. Give 3*j(g) - q(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 7*a**2 - 12*a + 2. Let h be b(-5). Let w be (4\/h)\/(4\/24). Let n(d) = -2*d + 3*d - 6 - 4. Let x(z) = 2. Calculate w*n(v) + 11*x(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 675 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-5)\/(90\/8).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8675 - 0.6675. Let d = -37 + 39. Let m = -0.6 - -0.3. What is the third smallest value in d, m, 10\/3, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**7\/210 + 65*i**6\/8 + 2905*i**3\/6 - 2055*i**2 - 1. Differentiate w(g) wrt g.\nAnswer: 4*g**3 + 2925*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 126. Let r be j(0). Let y be 4\/(-3)*(155\/(-10) + 5). What is the highest common factor of y and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48123\/16 + -3005. What is the common denominator of p and -103\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1132 - -1106. Let v(n) = n**3 + 25*n**2 - 27*n + 6. Calculate v(q).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 13*x**2 + 42*x + 133. Let z be k(-14). Is -259 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -826, -820, -812, -802, -790?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*x - 4*l - 34, 15*x - 5*l = 11*x + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/7386 and 20\/8617.\nAnswer: 51702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -274 - -274.000027. What is k rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2*u - u)*(-1 + 2 + 1) + (5*u - 4*u + 2*u)*(-85 - 102 - 370).\nAnswer: -1675*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15472191 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 0*h**2 + 3\/20*h**5 - 1\/4*h**4 + 0 + 10*h + 0*h**3. Factor z(d).\nAnswer: 3*d**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2731602*f + 13658010. Calculate x(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 2*b**2 + 0 + 0*b**3 + 1\/3*b**4 - b. Differentiate z(r) wrt r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 6*g**3 + g**2\/2 - 2*g. Let l(d) = -78*d**2 - 74*d**2 - 928 + 928 + 150*d**2. Give l(q(k)).\nAnswer: -2592*k**2 - 144*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30687 + -30119.08. Round f to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124381349866316 + -0.5.\nAnswer: -124381349866316.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-1) + -2 + 3. Let m(l) = -74*l**2 - 18*l + 7. Let f(b) = -49*b**2 - 12*b + 5. Let g(y) = k*f(y) - 5*m(y). Suppose g(j) = 0. Calculate j.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8290 and 9370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 227, 236, 249?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*q + 820 - 1799 = 932 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 60, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -49, 1, -2, -164, 0.048, 0.05, -1\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 9 = 12. Suppose -3*a - 5*g + 3*g = -443, 0 = -2*a + 4*g + 290. Calculate the greatest common factor of a and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -137142*t**2. Let d(r) = 2*r**2. Determine i(d(m)).\nAnswer: -548568*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g + 2*g)*(-g + 0 + 0)*(875 + 417 + 33).\nAnswer: -2650*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 14*z + 22. Let o(w) = -18*w + 195. What is the tens digit of o(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -915 - -982.3. Let o = t + -8.3. Let i = o + -58. Which is the third biggest value? (a) -1 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3 of a year in months?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4446 and 1170?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70930737 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11557 and 9906.\nAnswer: 69342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -191147 not equal to -191334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -43*m + m**3 + 47*m - m + 3*m**2 - 1. Let y = -10 + 2. Let i(v) = -v**2 - 7*v + 5. Let w be i(y). Determine d(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, x: 3, r: 7, n: 1, d: 4}. Give prob of picking 1 n, 2 x, and 1 m.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3661628 to the nearest integer?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) + (-150507)\/(-18). Let f = -17726 + 9372. Let r = i + f. What is the common denominator of r and -87\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -o + 11, g + 9 = 4*o - o. Suppose 5*i + 5*j - 25 = 0, -o*i = 4*j - 28 + 10. Determine x so that -2 + i - 3*x**2 - 2*x + 2*x**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*(-269)\/(-1076).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -214*j**3 - 78*j**3 - 2*j**2 - 2*j + 326*j**3 to i*j**2 + y*j + t + a*j**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-6))\/(3\/(-9)). Suppose n = -r*n + 9. Suppose y = -3*y. Sort 1, n, y in decreasing order.\nAnswer: n, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/11))**(-25)\/(k\/(k**(6\/5)\/k)*k)**(-3\/14) assuming k is positive.\nAnswer: k**(-10203\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-20) - (-32)\/(-10). Let z be 3\/(b\/(-2)) + 2. Suppose -z*v = 19 - 59. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -750520056 plus 1.4265?\nAnswer: -750520054.5735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**3\/3 + 17*u**2\/2 + 5*u - 1. Let l be y(17). Factor -6*i**2 - 2*i**3 - 2*i**2 + l*i**3 + i**3 + 4*i.\nAnswer: 4*i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 2*-3*3431\/(-438).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-338)\/(-18) + (-6)\/(-27). Suppose -3*j - k = -12, k + n = 2*j - 2*k. Suppose 17 = 2*v + j. Solve -3*t = -v*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 4*v + 104 - v - 102. Suppose 0 - 8 = 4*t. What is h(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 73779933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82154162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7779 = 2*b + 1039. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 180?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 2*l**2 - 13*l - 13. Let j be i(5). Let c(o) = -o**3 + 6*o**2 + 2*o - 2. Let s(d) = -2*d**3 + 7*d**2 + 2*d - 3. Calculate j*c(f) + 2*s(f).\nAnswer: -f**3 - 4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:18 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8424 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 10863\/2 and 5431 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 523 (b) 2\/13 (c) -0.3 (d) -0.0709\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-74*(-36)\/(-30))\/((-6)\/15). Let u = 240 - t. Suppose 2*q + 3 = 11. What is the smallest common multiple of q and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -25*d - 265. Determine p(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 13) to base 8\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 7*q + 9. Let j be n(4). Let a be 0*(1 + (j - -3)). Solve -4*k - 20 + 0 = a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 187*r + 87*r + 116*r**4 + 82*r + 49*r + 47*r wrt r?\nAnswer: 1392*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -b88a08?\nAnswer: -b88a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -272 - -280. Let x(z) = -7*z**3 + 3*z**2 - 14*z + 3. Let d(p) = 6*p**3 - 4*p**2 + 13*p - 4. Let g(a) = 6*d(a) + 5*x(a). What is g(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 6, 20, 50, 102, 182, 296?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*z + 57726, -95069 + 37364 = 3*c - 2*z. Let t = 31736 + c. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 1445 + 2893 - 1449 = 2*p, -4*p = 13*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12 - -25579) + 13 + 15.\nAnswer: 5, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 13*w)*(-23 + 7 - 17).\nAnswer: 429*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.08 + -0.08. Suppose 372*g = 367*g - 10. What is the nearest to 9 in l, g, 3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -361594.72824868 - -361594.4. Let p = 0.32984 + n. Let k = 0.0016 - p. Round k to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 9*r - 16. What is the closest to 1 in -0.2, r, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002501 to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 932131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -y + 78 - 138 + 83, 3*y + 3 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 b when four letters picked without replacement from {b: 3, f: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 292, 256, 184, 64, -116, -368?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/60525 and 32\/1547019.\nAnswer: 38675475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 1 - 3. Let g(d) be the first derivative of -2*d + 0*d + 3*d - 2*d - 3. Let r(i) = i**3 - 2*i**2 - 1. What is f*r(v) - g(v)?\nAnswer: v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6a7 - 2e35?\nAnswer: -34dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 651255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -67, -134, -205, -280?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eggg when four letters picked without replacement from ggeg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1041471, 1041470, 1041469, 1041468, 1041467?\n\"Answer: -m + 1041472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7703 + -4?\nAnswer: 7688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -385*h**3 - 45*h. Let x(v) = -35*v**3 - 4*v. Suppose -18*z + 111 = -3*p - 14*z, 0 = -4*z - 24. Give p*x(n) + 4*o(n).\nAnswer: 35*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 989.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(143) - sqrt(143)*1) + (sqrt(143) - (sqrt(143) + (sqrt(143) - sqrt(143)*2)))*-1)\/(sqrt(77)\/(sqrt(7) + sqrt(175)*-2)).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 8 - 7. Solve 0 = -c*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = p - 50, -p + 7 + 51 = -4*y. Let i = p + -40. Which is the biggest value? (a) -2 (b) i (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101020000 rounded to the nearest one million?\nAnswer: 101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 - 6*y**2 + 0*y**2 + 3*y**2 + 4*y**3 + 1 to s*y**2 + g*y + c*y**3 + l and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, -15, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {m: 1, y: 1, x: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/12*146*2016\/560. Which is bigger: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1224, 4876, 10962, 19482, 30436, 43824, 59646?\nAnswer: 77902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-4))\/(12\/(504\/(-7))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 52*f**3\/3 - 1064*f**2 - 164*f - 2493. Factor u(x).\nAnswer: 4*(x - 41)*(13*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 * 0.02.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*a - 0*a + 3, -4*s - 4*a = -12. Suppose 4*m + 40 - 48 = 0. What is the smallest common multiple of s and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 4*y + 8. Let p be q(4). Suppose 6*u - p*u - 20 = -3*h, 0 = 5*h - u - 31. Solve 0 = -5*t + 14 + h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430448275.\nAnswer: 5, 43, 400417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Is 72379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18256753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4331*z + 14. Let p(b) = 4327*b - 12. Calculate -6*f(t) - 7*p(t).\nAnswer: -4303*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 283 = -p - 315, -2*p - 24 = 2*y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -305295 >= -305296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5295327 + 9399880. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1) + (8 - 7). Suppose -4*w = -a*w - 20. What is the closest to 1 in -0.2, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1453485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -293 at least -6\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -35264 < -35264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502*g - 54 = 496*g. Solve -11*r + g = 42 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnxnnnxn. What is prob of sequence xxn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4.3 times -53424\nAnswer: -229723.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 268, 243, 218?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**4*r + 17*q**3*r**3 - 22*q**3*r + 15*q**3 + 22*q**2*r**2 + 1234*q**2 + r**3 wrt q?\nAnswer: 48*q*r + 102*r**3 - 132*r + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1756, -3, -290, 15 in descending order.\nAnswer: 1756, 15, -3, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -313 and -44945.\nAnswer: 14067785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5734\/5 + 1148. Which is the nearest to 0.08? (a) 1\/7 (b) t (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -24*k. Let b(y) = 51092901*y**2. Give l(b(c)).\nAnswer: -1226229624*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**3 - 35*n**2 - 68*n + 13. Let k(x) = 7*x**3 + 69*x**2 + 135*x - 25. Let o(f) = -3*k(f) - 5*m(f). What is the units digit of o(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-96) - 133\/(-4). Suppose -35*d + h = -24*d. Solve d*m - 2 = 2*m + 5*p, -m - 2*p - 5 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**4 + 92*i**3 + 92*i**3 - 185*i**3 + 2*i**2 - 2 - 3*i to the form r*i + p*i**2 + d*i**4 + a*i**3 + b and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 323\/(-850)*16 - (-12)\/2. What is the third biggest value in -31, s, -6, -3\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10813\/8 + 1352. What is the biggest value in -3\/4, 7, w, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 26 = -0*m + 5*g, 0 = -4*g - 8. Suppose 0 = m*o - 0*o - 220. Suppose 154 = 14*y - 0*y. Calculate the greatest common divisor of y and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 59.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 255*d + 110*d + 372*d + 4 + 174*d - 2*d + 0*d + d + 0*d - 3*d + d + 5*d - 4*d + 0*d + (0 + 1 - 2)*(-2*d + 2*d + 2*d).\nAnswer: 907*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j - 8. Let l(u) = -u**3 + u + 10*u**2 - 5*u**j + 3*u**2 - 6. What is the units digit of l(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 73*3*(-1)\/3. Let h = c + 129. Suppose 0*u - 4*u = -h. What is the remainder when 68 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 times -5?\nAnswer: -1850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 34.08971ml?\nAnswer: 0.03408971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + -3)\/(42\/(-490)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15077622 and 464?\nAnswer: 120620976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l. Let c = 0 + -1. Sort l, c, -3.\nAnswer: -3, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbp when three letters picked without replacement from {m: 1, l: 1, i: 1, p: 1, b: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -40*w**2 + 27*w**2 - w + 62*w**2 + 2. Let n be j(1). What is the first derivative of 14*m + 18*m - n + 16 wrt m?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -244.241 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -119, 0.4 in decreasing order.\nAnswer: 0.4, -0.3, -1, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-44)*22*-3)\/(42\/7)*-4.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 3*v - 3. Let u be c(-5). Suppose 5*i = u*i - 18. Let z be 12\/54 + 34\/i. What is the highest common divisor of z and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/34580 and -129\/8740.\nAnswer: 795340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 2*r + 3. Let a be k(2). Suppose -5*i = -5*y - 70, -2*i = 3*i + a*y - 78. What is the second smallest value in 1, 0.3, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**3 - j**2 + j. Let h be q(-2). Suppose -2*b = 5*m, 5*b - 1 - h = 5*m. Suppose 37 + 8 = b*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4477295?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*k + 140 = 0, -3*c = 2*k - 39 + 120. Let z = c + 7. Let g = 24 + z. Calculate the highest common factor of 4 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8253 + 13159. List the prime factors of j.\nAnswer: 2, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:24 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2 = 2*p. Let l = 1 - p. Suppose -4*o = 2*r - 26, 5*r + l*o - 14 - 19 = 0. Solve 2*i - 6 = r*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {o: 4, q: 2, e: 2, l: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oavzvvoottssva?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14177061.88 plus -0.7375?\nAnswer: 14177061.1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - 9*f**3 - 2*f**3)*(-11 + 10 - 30).\nAnswer: 372*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52 times 0.2058?\nAnswer: 0.107016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 633519 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 17 - 20. Let l(k) = -8*k + 31. Let t be l(v). Let j(y) = y + 6. Give j(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 8 - 1. Suppose -o*n - n - 5*s + 6 = 0, 0 = -5*n + 3*s + 26. Differentiate 2203*c - 2203*c - 16 - 22*c**n wrt c.\nAnswer: -88*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*h**4*k**2 + 22*h**4*k + 2*h**2 + k**2 + 90*k wrt h?\nAnswer: 28*h**3*k**2 + 88*h**3*k + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 i when three letters picked without replacement from {v: 1, i: 1, r: 2, b: 8, q: 2}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 68, 128, 184, 236, 284, 328, 368?\n\"Answer: -2*r**2 + 66*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000091066 to 7 decimal places.\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 3*t - 10. Calculate the lowest common multiple of (-2)\/t - (-75)\/11 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - n - 2. Let a(x) = -5*x**3 - 3*x**2 + 7*x + 7. Let i(y) = a(y) + 3*h(y). Let c = -1 + 4. Calculate i(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o + 0*o + 0*o - 8*o**2 + 0*o**3 + 13 + o**3. What is the remainder when f(9) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -4*y + 948. Suppose 6645 = 4*r - y. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 16*g**2 + 55*g + 12. Determine f(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 11*r**2 - 10*r + 11. Let b be a(-10). Suppose -2*t + b = -25. Which is smaller: 16 or t?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99354 divided by 1.\nAnswer: -99354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.11 to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31124)\/101153*2\/16*(-4)\/(2\/(-2))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4246015181 to the nearest integer?\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 9794613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 2, 254, 63, -1 in descending order.\nAnswer: 254, 63, 6, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -412451.4 to the nearest 1000.\nAnswer: -412000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011010 + 11?\nAnswer: -110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l - 12966 = -12154 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 728053 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165 (base 10) to base 4.\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 647376 or 647380?\nAnswer: 647376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10*b**3 + 3*b**2 - 4*b - 4. Let r(s) = -13*s**2 - 47*s + 23. Let u(k) = -9*k**2 - 33*k + 16. Let o(m) = 7*r(m) - 10*u(m). Give -f(q) - 3*o(q).\nAnswer: -10*q**3 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 120203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-654)\/3379 - 5\/(1860\/26712).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.953 - 0.047. Which is the nearest to 1? (a) v (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587525507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -23*l**3 - 24*l**2 + 35*l + 12. Let x(t) = -12*t**3 - 12*t**2 + 18*t + 6. Suppose 9*i - 3*i = -18. Let p(d) = i*b(d) + 5*x(d). Factor p(q).\nAnswer: 3*(q - 1)*(q + 2)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3 + -3 + (sqrt(76) + sqrt(76)*-1)*4 + -6*(4 + sqrt(76) + (sqrt(76)*1 - sqrt(76))))*6)**2.\nAnswer: 25920*sqrt(19) + 130896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(0 + -2 + 1). Let b be 3\/(-6) - (-1)\/2. What is the nearest to b in -0.1, -2, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 5, 2\/3, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by 81?\nAnswer: 52\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + q - 1. Let t be l(-2). Let f = t + -2. Let d be (2 + -1)\/3*f. Sort -0.3, d, -1\/2.\nAnswer: -1\/2, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100011111001000110 (base 2) to base 4\nAnswer: 203321012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 8*k - 7. Let t be z(5). Suppose 64 = t*q + 2*x - 133, -2*q - 2*x + 134 = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2. Let l(a) = -11*a + 17*a - 15*a. Calculate j(l(s)).\nAnswer: -162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 0 + 0 + (-23)\/(552\/(-31104))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5238 divided by -1746.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/7, -3, 0.4, 3.6?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5 + 3. Suppose 3*a + 15 = -2*a, -3*n = -a + 18. Let l be 4\/14 + i\/n. Solve -3*s - 2*s + 15 = l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -6\/5, -4, 47?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q + 1. Let m(r) = -r**3 - 4*r**2 + 13*r + 8. Let z be m(-6). Let a(t) = t - 1. Give z*p(g) + 4*a(g).\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*z - 5*g, -3*z - 13*g = -18*g - 27 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j - 131. Let d(g) = 4*g - 117. Let b(n) = 5*d(n) - 4*q(n). Give b(19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3\/8 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4987*v**2 + 9964*v + 4. Determine i(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 1, y: 2}. Give prob of picking 1 x and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9090*l - 10176*l + 1765*l to o*l + k and give o.\nAnswer: -17501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 5:42 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 172834*r - 155473*r + 1 - 230461*r.\nAnswer: -2*r**2 - 558768*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 35 = 6*s - 8*s, -a - 5*s - 30 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {z: 1, e: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/2236 and 39\/430.\nAnswer: 11180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(208).\nAnswer: 3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 41. Let t = q - -20. Which is the third biggest value? (a) t (b) 1\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3648716*i - 8 - 3648974*i + 7297437*i.\nAnswer: -253*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4. Suppose o + 2*o - 21 = w. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.2 + 3. Let l = -40.94 - -39.14. Let q = x - l. Sort q, 3, -1\/6, 4 in ascending order.\nAnswer: -1\/6, q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10843, 13531, 16219, 18907, 21595, 24283?\n\"Answer: 2688*o + 8155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -270 - -270. Let t = -3 + 2.5. Let h = -0.3 - t. Which is the second smallest value? (a) h (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2750*q**2 - 3705*q**2 + 6454*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 31487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*88.47.\nAnswer: -26.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8 - -2.8. Which is the nearest to -0.1? (a) -5\/4 (b) d (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177411*p**3*r**2 - 9*p**2*r**2 + 2284*p**2 + 1 wrt p?\nAnswer: 1064466*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2229*x**3 - x**2 + 2*x - 7926 with respect to x.\nAnswer: -6687*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/31563 and -37\/26544?\nAnswer: 39895632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 405311934*j**2 + 2828*j - 51693 wrt j?\nAnswer: 810623868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -1.94527, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*i**4 - 5832 - 313\/2*i**2 - 23*i**3 + 2484*i.\nAnswer: -(i - 4)**2*(i + 27)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = -31. Suppose -g*a = -17*a - 156. Calculate the remainder when 23 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than or equal to 800\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*x**3 + 1766420*x**2 - x - 42034869 wrt x.\nAnswer: 9*x**2 + 3532840*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 2 - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 944218 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + 4*((sqrt(1700) + sqrt(1700) + 1 - sqrt(1700)) + -5 + -1 + sqrt(1700) + -1 + -5))**2.\nAnswer: -13440*sqrt(17) + 221128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 31*p - 1905. Calculate u(61).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -15*q**2 - 1. Let u be a(-1). Let y = u - -18. Factor -5\/3*m**3 + 1\/3*m**5 + 1\/3*m**y + 4\/3 + 8\/3*m - 1\/3*m**4.\nAnswer: (m - 2)**2*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2525)\/(-70) - 3\/2. Let h = -35 + i. Which is the third biggest value? (a) -3 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010011110011000011 (base 2) to base 16.\nAnswer: 93cc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*s + 9 = 15, -2*s - 9 = -3*k. Solve -5*t - 4*c = -2*t + 30, 12 = 3*t - k*c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124000 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44982387559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-6 - 10)) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305760, -1222971, -2751654, -4891809?\nAnswer: -7643436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6061610863?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**3 - 4*s**2 + 5*s - 3. Let o(u) = 3*u**3 - 2*u**2 + 2*u - 2. Let n(z) = -4*a(z) + 7*o(z). Calculate n(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 0*u**2 + u**2 + 45*u**3.\nAnswer: 45*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - -1.6. Let f = 1473 + -1489. What is the third biggest value in f, 4, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 5*a - 3. Let s be t(-3). Suppose -2*q + 2*h + 9 = -5*q, 9 = -s*q + 4*h. Let x be ((-8)\/36)\/((-1)\/q). Which is bigger: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 185 = 2*l, 4*g - 3*l = -0*l + 148. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 291 and 679?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29381 + -29380.7. Let y be (-6)\/(-10)*5\/(-2). Which is the closest to 1\/2? (a) k (b) y (c) 0.009\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 10. Let v be k(5). Let a = 9 - v. Calculate the highest common factor of 27 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3729, 3730, 3731, 3732?\n\"Answer: v + 3728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 8, t: 2, q: 2, f: 2}. Give prob of picking 1 q, 1 c, and 1 f.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/17 + 259890*w**2\/17 + 496645968*w + 8442721568\/17.\nAnswer: 2*(w + 1)*(w + 64972)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + n - 115, 0 = -5*v - n - 599. Let p = v + 77. Let d = 44 + p. Solve -5*r - d*m + 35 = 0, 2*m + 10 = r + 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjjzwwzjzzjzwzzwj. Give prob of sequence zjzj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 311616.928 to the nearest 1000.\nAnswer: 312000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 61740.419+-62608\nAnswer: -867.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833349747 to the power of 1\/3, to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38188, -305417, -1030736, -2443189, -4771820, -8245673?\n\"Answer: -38174*q**3 - q**2 - 8*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-75))\/(-1))\/(1\/5).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2753 = -560*j - 5148 - 16085 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/43 (b) 2\/9 (c) 1\/16 (d) 5 (e) 2 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k. Let d be (-6)\/4*(16 + -20). Let j(g) = 6*g - 34. Let b be j(d). Let t(m) = -195*m**2 - 154*m**2 + 320*m**b. Determine t(v(w)).\nAnswer: -29*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*i - 19*i + 1 + 2125*i**2 - 2123*i**2 + 17*i**3 - 1 as x + q*i**3 + u*i + y*i**2 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152.957 - -153. What is the closest to -2\/13 in 0.4, z, 3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 4.9. Put -9, -1, a in decreasing order.\nAnswer: a, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4458138 - 8916265 + 4458127 - v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1556544 (base 7) to base 16\nAnswer: -34bd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13612550 and 3450.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 26*m**2 + m + 47. Let v be x(-26). Suppose 4*j = y - 2*y + 28, 3*y = -3*j + v. Let u be (-15)\/(3 + 0) + j. Solve -5*a = -u*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 7, 4\/5, 755\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -116357.146061702?\nAnswer: 116353.146061702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 15. Let p be g - (-5 - (4 - 6)). Let x(i) = 3*i - 7 - 2*i + 0. Calculate x(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*m + 2379526 = -10839599. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 24 - -28)\/(3 + (1 - 20)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 - 151 - (3 + -93)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3 + 18*x**2 - 93*x - 110 = 0. What is x?\nAnswer: -22, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqf when three letters picked without replacement from iffqififfi?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = o - 1, -2 = 5*h - 4*o - 5. Let f(m) = m**3 - m**2 + m. Let b(i) = 8*i**3 - 6*i**2 + 6*i - 1. Give h*b(x) + 6*f(x).\nAnswer: -2*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - 1*-3*sqrt(38))\/(sqrt(2) + sqrt(2) + sqrt(288)*2) + 3)**2*2.\nAnswer: 24*sqrt(19)\/13 + 3194\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + x**2 + 0)*(-2*x**2 + 3*x**2 + x**2) + 742*x**3 - 620*x**4 - 467*x**4 + 1092*x**4 as z*x**4 + s*x**2 + r*x + l + n*x**3 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3*s**2*y**2 + p**3*y**2 - p**3 - 12*p**2*s - 4*p*s**2*y**2 + 22*s**2 wrt s?\nAnswer: 4*p**3*y**2 - 8*p*y**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -2*o**3\/3 - 9. Let g(w) = -19*w**2. Give q(g(x)).\nAnswer: -722*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = w + 2*w - 6679, 0 = -3*w - o + 6683. What are the prime factors of w?\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -3. Let l = z + -5. Let k be ((-2)\/l)\/(1\/(-12)). Calculate the greatest common factor of k and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -674 + 698. What is the lowest common multiple of l and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s\/(s\/s**2)))\/s**(-1\/4))\/(s**(2\/5))**(-1\/21))**(1\/9))**21 assuming s is positive.\nAnswer: s**(-307\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-197)\/((-985)\/(-180)))\/(1*-2*7)\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.507588 rounded to one decimal place?\nAnswer: -40.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2174 + -2178)*(3 - 3*(-148)\/(-48)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8168810 and 4054?\nAnswer: 8168810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + -3*5100\/153.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609947579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xoooooooxooxxxxxxxox. Give prob of picking 3 o and 1 x.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 9 - (28 + -21 + 9 + 13).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 9 + 0 + -16 - (-6 + -9 + 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21283572 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and 28262?\nAnswer: 28270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 3*n. Suppose 2*f + f = -24. Let a(i) = 4*i**2 + 8*i. What is f*c(v) + 3*a(v)?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 21, -3, 38 in decreasing order.\nAnswer: 38, 21, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-eight fifths of a meter?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.39732437 rounded to two decimal places?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 41083 = -68762. Suppose -6*a - 77847 = -a + b, 5*a = 5*b - 77835. Let n = d + a. Round n to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 2 (c) 470 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (16 - (5 + 14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105025*j - 111 - 52515*j - 52513*j + 111*j**2 + 3*j**3 = 0. Calculate j.\nAnswer: -37, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-3\/5))\/d**(-4\/3))**(-19) assuming d is positive.\nAnswer: d**(-836\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r**3 - r**2 + r**2 + 14*r**3 + 2*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orho when four letters picked without replacement from {h: 2, r: 7, o: 3}.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7 = -2*j + 11, -3*z + j = -1. Let s be (-1*z)\/(0 - 1). Let r(f) = -4*f**2 - f**s + 5*f**2 - f**2 - 5*f - 3. Calculate r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -73, -100, -127, -154, -181?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 59\/5 of a millennium?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -32*a + 1. Let p(u) = 429655*u. Give p(h(f)).\nAnswer: -13748960*f + 429655","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 24304, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3816000 rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -101 - -101. Let n be ((-2)\/6)\/(9\/(-54) + q). Suppose -p + 1577 = 2*p + 4*d, 0 = n*d + 2. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108 a factor of 5385988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7945*p**6 - 6*p**2 - 4*p + 19.\nAnswer: -953400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*s = 110 + 274 + 14 + 152 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4322112 - -20?\nAnswer: 4322132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 6:22 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 14*s**2 - 8935*s + 10803. Calculate p(637).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*b - 10 = 186*b. Let q be (-1*1)\/(6\/6)*b. Solve -g = -q + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 4*t**2 + 7*t**2 + 4*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.1326605g?\nAnswer: 0.0000001326605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 492870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-408090)\/(-925004)*17\/(-18)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.451 and 0.2?\nAnswer: -0.0902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010196.873 nanoseconds in weeks?\nAnswer: 0.0000000016702990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1808\/(-4068))\/(((-8)\/(-84))\/((-6)\/(-14))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00274911349 to four decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1.1. Which is the closest to m? (a) -3\/4 (b) 0.3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 112*g + 1867 = 113*g, 4*g + 2468 = 4*s. What is the remainder when s is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914804803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 32. Let y = -18.022 - p. Let r = -0.0274 - y. What is r rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92062, -183017, -273972, -364927, -455882, -546837?\nAnswer: -637792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 5*o**2 - 2*o - 344. Determine b(-6).\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*y - 3*g + 58, -5*g + 46 = 3*y. Let f = 1 + 11. What is the highest common divisor of f and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181240 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 67 - 221. Suppose 5*p - p = j. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.63 + 0.13. Let m = -0.3 + 0.2. What is the nearest to -1 in m, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 18 - m + 6*m + 9*m. Suppose -5*v + 98 = 38. Let w be f(v). Put 5, -3, w in ascending order.\nAnswer: -3, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*c - 4*v - 15, -2 = -v. Suppose -x - 5 = 2*b, 5*b = -x - 12 - 2. Is -1*c\/(-3)*b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 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: Factor 63\/2*v**4 + 0*v - 363\/2*v**2 + 3\/2*v**5 + 0 + 297\/2*v**3.\nAnswer: 3*v**2*(v - 1)*(v + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 7832781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 5*t + 3. Let s be k(-5). Let g(c) = 3*c - 6. Let v be g(s). Solve v = -i - 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102101210100 (base 3) to base 13.\nAnswer: -7b18c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 231, -5, 6, 4, 15, 2 in decreasing order.\nAnswer: 231, 15, 6, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-10) + (-15)\/(-6). Let y be ((-1)\/1 + b)*1. Suppose 0*g + 87 = y*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-108)\/24)\/(6\/(-8)). Let r(u) = -u**2 + 2*u - t - u - 7*u. What is r(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/35 (b) -0.65 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by -20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/17)\/(p*p*p**(-7)\/p))**(2\/5) assuming p is positive.\nAnswer: p**(40\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 17*j**2 - 480. Let m(b) = 30*b. Give m(p(t)).\nAnswer: 1020*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, d: 7}. What is prob of sequence ddd?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jidbh. Give prob of picking 1 h and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*l + 33 = 0, -4*q = -6*q - 4*l + 28. Let g(f) be the first derivative of -2*f**3\/3 + 5*f**2\/2 - 2*f - 5. Calculate g(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1328, -1290, -1252, -1214, -1176, -1138?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5061160.\nAnswer: 2, 5, 13, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8104.872 nanograms in grams?\nAnswer: 0.000008104872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/465388 and -123\/550004.\nAnswer: 6050044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 - 3.89. Let a be 1316\/(-520) + (-2)\/4 - -3. Let t = a + 333\/260. What is the biggest value in -0.2, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 17*g = 15*o - 54, -o + g + 10 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 10:22 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -101*z**3 + z**2 + 2*z + 1. Let x be r(-1). Let d(p) = -3*p - x + 98 + p. Let a be d(-3). Solve g - 4 = -a*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289138006?\nAnswer: 2, 17, 823, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + q)*(-1439 + 266 + 769 + 1033).\nAnswer: -629*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 949289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 100211100102100 (base 3) in base 8?\nAnswer: 23730716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*l + 3*w, 0 = 3*l + 3*w - 4*w + 2. Let b(y) be the first derivative of -2*y - 3 + 4\/3*y**3 + l*y**2. Find the first derivative of b(z) wrt z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/36)\/((-6)\/(-4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -708, 1, -7 in descending order.\nAnswer: 1, -7, -708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 174 - 349\/2. Sort -1, j, 1.\nAnswer: -1, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/4 - (-1201 - 1). Suppose -4*k = -k + d. Let i = k + 699\/2. Calculate the common denominator of 7\/2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 9 - 19)*(-4*a + 4*a + 2*a**3 - 1 + 1 - a**3 + (2*a + 0*a + 0*a)*(-2 + 2 - a**2)) as d*a**2 + q*a + v*a**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 391497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -15. Put 0, 2\/9, b, -2\/17 in increasing order.\nAnswer: b, -2\/17, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/20 - 2*f**4\/3 - 7*f**3\/6 - 3*f**2\/2 - f. Let d(b) = -2*b - 41. Let s be d(-17). Calculate n(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78764.59552 to the nearest one hundred.\nAnswer: -78800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from uuusoubsuduodiu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 82403013 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: Calculate prob of sequence ty when two letters picked without replacement from {s: 5, t: 6, h: 3, y: 3}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 0*v + 0*v**2 - 4 + 1\/3*v**3. Let o(f) = -f**2 - f + 1. Suppose -3*n = -0 + 6. Determine n*o(g) - 3*t(g).\nAnswer: -g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h + 9*h + 14*h + 1 + 1.\nAnswer: 40*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 470, 459, 446, 431, 414, 395?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + y**2 - 3. Let g(p) = -p**3. Determine -g(j) + z(j).\nAnswer: 2*j**3 + j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 21 - 101. Solve 42*o**3 + h*o**2 - 32*o**5 + 8*o - 40*o**4 - 30*o**5 + 12*o**5 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/14799 - -4484089\/59196. Let t be (-406)\/(-21)*(-15)\/(-4). Let w = t - r. Which is bigger: -4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -292 - 368. Let v = q - 54. Solve 2*p + 2*h - v = -2, 0 = 3*p + 5*h - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -i - 5*t, -7 = -i - 3*t + 8. Suppose -9*n = -6*n + i*f + 831, 283 = -n + 2*f. Is n at most -279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 313, 331, 349?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 - 904*h + 374*h + 425*h - 5 to b*h + u*h**2 + y and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.1. Let v = -604.9 - -605. Which is the second smallest value? (a) -0.5 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + g**3 - g**2 + 116 - 109 + 4*g**2 to z*g + f*g**2 + r + s*g**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8970755 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 3:37 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((2 - 0) + -5 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38675 - 2?\nAnswer: 38673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 6. Suppose -w - 5*o - 12 = 0, -4*w + 50 = w + d*o. Calculate the remainder when 51 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d + 1 = -53 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 3*z**2 - z + 1. Let d be n(-2). Suppose -w - 9 = -4*w. Suppose 0 = 2*h - 5 + w. Which is the smallest value? (a) h (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b - 14 + 33 - 14 wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19101.81 + -19003. Let l = t + -101. Which is bigger: l or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7788 and 972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1028*p + 6. Let i(h) = -5*h. What is i(q(n))?\nAnswer: 5140*n - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = d - 15*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-38)\/(-24))\/(2\/(-3)) and (126\/196)\/((-6)\/50).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43514912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 0 + 1 - -68. Find the common denominator of -18 and -5*1\/32*u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2307157 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 773433901 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2046394656?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**5\/4 + 165*o**4\/4 - 905*o**3\/2 + 3685*o**2\/2 - 9945*o\/4 + 4225\/4 = 0. Calculate o.\nAnswer: 1, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/120)\/(3\/(-15))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**3 + 151*l**2 + 37*l**3 - 151*l**2 - 84*l**3.\nAnswer: -61*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 5, -601.\nAnswer: -601, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1053)*-1*6 + 5 - ((sqrt(13) + 1 + -5)*-3 + (-3*(-1 + (sqrt(26)\/sqrt(2) - sqrt(13))))**2).\nAnswer: -16 + 111*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 13*s**7\/42 - 19*s**3\/3 - 11*s. Find the second derivative of l(y) wrt y.\nAnswer: 260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**6\/120 - 9*i**5\/8 - 97*i**4\/48 + 91*i**3\/4 + 8927*i. Factor w(n).\nAnswer: n*(n - 91)*(n - 2)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9420997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**5\/20 - 5*h**4\/6 - 17*h**3\/6 + 12*h**2 - 14*h. Let c be r(11). Let s = c + 54. Solve 13 = -5*d - s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005999 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k - 3*k)*(9 - 9 + 3*k**2)*(16*k + 5*k - 5*k).\nAnswer: 48*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdzzzzhfzffzfzzf. What is prob of sequence zz?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**3 + 9*y**2 - 61*y + 39. Is n(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 140 + 24 = 0. Suppose g*l - 55*l = 81. What is the remainder when 65 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-9))\/(12\/(-54)). Let h(n) = 3*n**2 + 1. Let b be h(1). Let i = b - 3. Put i, v, -5 in increasing order.\nAnswer: -5, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2482\/91 - -192\/7. Let x = -2.99 - 0.01. Let q = 0 + x. What is the second smallest value in h, 5, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 161597, 162691, 164519, 167087, 170401, 174467, 179291?\n\"Answer: o**3 + 361*o**2 + 4*o + 161231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/25 - (-404)\/(-10). Let l = -23 - h. Suppose 4*q + l = -5*y, 11 - 46 = -5*q + 5*y. Solve -2*j = 4*i + j, -23 = -5*i + q*j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in months?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -l - 6, 5*t + 0 + 24 = -4*l. What is the common denominator of 2*2*(-182)\/(-1144) and 1\/l + 182\/(-132)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 4*b + 8. Let s(m) = -m**2 + 4*m + 7. Let w(i) = -5*s(i) + 4*x(i). What is the units digit of w(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54287\/6 - -9070. Find the common denominator of 3*(3 + 114\/(-51)) and f.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -15*b**2 - 342*b + 687. Calculate q(2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s**2 - 43*s + 14. Let d be m(5). Is d < 3\/1541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 11:41 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h. Let p(r) = r**3 - 6*r**2 + 6. Let q be p(6). What is the derivative of -4*a**3 - q + 7 + h wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from jbfbbbjhf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9142 + -9138. Solve -t*h - 36 - 12 = -4*j, -3*j = 5*h + 4 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, j: 10, b: 1, l: 3}. Give prob of sequence jl.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, 1 e, and 1 h when four letters picked without replacement from hgfgghgehggv?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6163603.039 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, -4052 in descending order.\nAnswer: 11, 4, -4052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43243\/9331 + -787\/172. What is the common denominator of 27\/10 and z?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -16 (b) -5 (c) 1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:17 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6666579, 13333159, 19999739?\n\"Answer: 6666580*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-14) - (-208)\/(-168). Put 1\/2, y, -0.02 in descending order.\nAnswer: 1\/2, -0.02, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 1. Let w = -7 - -13. Suppose -w*o + 1 - 19 = 0. Let j(s) = 3*s**3 + 3*s + 3. Give o*g(i) - j(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -3*d**8\/112 + 3*d**4\/8 + 11*d**2. Find the second derivative of b(v) wrt v.\nAnswer: -180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 w when three letters picked without replacement from {q: 3, y: 2, r: 4, w: 2, c: 2, f: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(280))\/sqrt(10) + -3 + sqrt(1008))**2 + 4.\nAnswer: -144*sqrt(7) + 4045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 311\/21 (b) -1 (c) 12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1504*k + 1656 = -1642*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*a - 0 + 2, 4*a + 4*r + 44 = 0. Let k = 8 + a. Suppose 0 = 2*s - k*w - 66, 51 = 3*s + 4*w - 62. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3905 - -4966. What is the highest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89278 times -4?\nAnswer: -3.57112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2.34, 3\/4, 5\/2, -29, 1 in ascending order.\nAnswer: -29, -1, 3\/4, 1, 2.34, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-25 + -9 + 12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(171) + (4 + sqrt(171)*2)**2) - ((1 + sqrt(171))**2*5 + -2*sqrt(171) + -5).\nAnswer: -4355 - 279*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82357 - 124470 = 2841*k + 6248 for k.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2388 and 2618.\nAnswer: -6251784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1334.3301 months?\nAnswer: 111.194175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 270 = -0*i. Suppose 5*h + x = i, 4*x - 36 = -2*h + 3*x. Let u = h - 8. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 + 3*b**2 + 15*b - 375. What is r(0)?\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0 = -6. Suppose 18 = -5*k - u*i, k + 1 = 2*k - 4*i. Let p be ((-96)\/(-10))\/3 + k. Which is the third smallest value? (a) -2\/7 (b) p (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u + 2. Let w(q) = -q**2 - 10*q + 3. Let b be w(-7). Let i be -1 + (b\/2)\/4. What is p(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 7*a - 2*a - 16*a + 2*a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -13*a + 33. Let k = -6890 + 6893. Calculate x(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5 + 4*m**3 - m**3 + (4*m**2 + 18 - 18)*(-2*m + 5*m - 2*m) as o*m**3 + y*m**2 + c*m + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100022222100122 (base 3) in base 6?\nAnswer: -254145155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 6*p + 4. Let n be b(5). Let r(a) = -a**3 - 15*a**2 - 53*a + 5. Let z be r(-9). Let w(s) = 16*s**2 + 66*s - 8. Let d be w(z). Is n != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/(-96) + (-6)\/(-8). Put 0.3, p, 0.5 in ascending order.\nAnswer: 0.3, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.518 - -1357.118. Let h = q + -1352.549955. Let s = -0.05 + h. Round s to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24774635.68099546 - 24774636. Let y = c + 0.319. Round y to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 + 106*u**2 + 145*u - 22225. Determine l(50).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**7\/840 - a**5\/120 - a**4\/8 + a**2. Let c(r) be the second derivative of n(r). Differentiate c(m) with respect to m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/108 - ((-6)\/(-36))\/((-6)\/404)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 9:54 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1457523 and -3.\nAnswer: 1457520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -26. What is the closest to j in -1\/2, 4, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**2 + 97*m + 162. Determine u(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsrla. Give prob of sequence ast.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38.525819 + -1.\nAnswer: 37.525819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -438, 0, 1 in decreasing order.\nAnswer: 5, 1, 0, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2343 * -0.276\nAnswer: -0.0646668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let h(s) be the third derivative of -5*s**5\/12 - s**3\/3 + 24*s**2. What is y(h(i))?\nAnswer: -25*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 90*l.\nAnswer: 5*l*(l - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -24595*s. Let h(a) = -a. What is u(h(x))?\nAnswer: 24595*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 519573 and 2478?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*c - 80 = 0, -p = 2*p + c + 65. Is -18 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - p. Let a be l(6). Suppose 2*h = h - 4*k + 330, 990 = 3*h + 2*k. Calculate the highest common divisor of h and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 5 (c) 1\/9 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 32*y + 91*y + 8*y = 16*y - 369, 5*y + 17 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**3\/3 + 2002*g**2\/3 - 63297*g - 195906 = 0.\nAnswer: -3, 103, 1902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 4*h + 25. Let s(g) = -g**2 - 2*g + 12. Let q(w) = -2*o(w) + 5*s(w). What is q(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*w + 56 = 110*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-1)))**(-8\/7))**(6\/29)\/((t**0*t)**(1\/3)*t**(2\/11)\/((t*t*t**8*t*t*t)\/t)) assuming t is positive.\nAnswer: t**(75353\/6699)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 24*m - 45. Let u be i(14). Which is smaller: u or -184?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4 = -28. Let c = 21 - 30. Sort l, -5, c in decreasing order.\nAnswer: l, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/(-9) + 1\/((-9)\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3577 divided by 49\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -2\/5, 2\/21.\nAnswer: -5, -2\/5, 2\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**3 + 39*b**2 + 44*b + 24. Let r be h(-8). Let d = -77 - -125. What is the highest common factor of d and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)*z)**(-35) assuming z is positive.\nAnswer: z**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3\/17 + 974*f**2\/17 + 117110*f\/17 - 360150\/17 = 0.\nAnswer: -245, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 1542*f**2 + 43869*f + 279. Determine d(29).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -1159043.\nAnswer: -1159042.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4623 + 0.0377. What is the nearest to q in 5, 14, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 203 = -4*v, 160 = 3*v - 5*q + 15. Let g be 9 - (2 + 3) - -44*1. Let i = v - g. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 3*a**2 + 5*a - 2. Let q be r(3). Suppose 121 + 61 = 26*s. Suppose 0 = -g + q + s. Solve 0 = 5*v + 5 + g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1263*n**5\/2 + 600*n**4 + 63*n**3\/2 = 0. What is n?\nAnswer: -21\/421, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-2)*((-35)\/(-3) + -2). Let t = 102 + h. Let r(b) = -b**3 - 14*b**2 + 2*b + 31. Let m be r(t). Solve 0 = -3*z - 2 - 1, -9 = -3*n - m*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -348 + 2801?\nAnswer: 2464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1.02. Let g = 0.22 + m. Which is the second biggest value? (a) g (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1688949.23 + -1689011.23000025. Let f = 62 + u. Round f to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -20*c**3 - 2*c**2 + 7*c - 10. Let j be i(2). Let q = j - -168. Sort -1, q, -37 in increasing order.\nAnswer: -37, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**5 + 313*f**4 - 13659*f**3 + 786*f + 32030?\nAnswer: -20*f**3 + 3756*f**2 - 81954*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5312 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3343.54955 rounded to the nearest integer?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u = -60145 - 50151. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -19*g**2 + 4*g. Let w(i) be the second derivative of i**6\/720 - 25*i**4\/4 - 37*i. Let x(k) be the third derivative of w(k). What is d(x(p))?\nAnswer: -19*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 142\/8*-46. Let h = t - 763. Calculate the common denominator of (-15)\/12*(-126)\/(-10) and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002755251392 to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3551045565 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q*r**5 - 323*q*r**3 + 2*q*r**2 - 2*q*r - 812*q - r**2 wrt r.\nAnswer: 180*q*r**2 - 1938*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1fa (base 16) in base 9?\nAnswer: -622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6580 and 564?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -94, -253, -494, -823, -1246?\n\"Answer: -p**3 - 32*p**2 + 20*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)*-1)\/sqrt(3) - (sqrt(42)\/sqrt(27) - sqrt(14)))\/(((sqrt(28)*-1 - sqrt(28))*-3)\/(sqrt(36)\/(sqrt(18)\/sqrt(2)) + sqrt(4))).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o + q + 115 = 0, 4*o - 155 = 3*q. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 - 2 = -5*p, -18 = p - 4*x. Suppose 89 = -10*l + 309. Calculate the greatest common divisor of p and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55303*l**2 - 78*l - 16428948 wrt l?\nAnswer: -110606*l - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - p + 1. Let g(t) = 16*t**3 + 24*t - 24. What is g(d) + 24*z(d)?\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**3 + a**2 + 2. Let x(p) = 20*p**3 - 4*p**2 - 8. Let d = 93 - 102. What is d*w(j) - 2*x(j)?\nAnswer: 5*j**3 - j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10288 divided by 2572?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8382 + 14123. Let k = 86162\/15 - i. What is the common denominator of k and 1\/(-90)*(20 - (-43 - -600))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 650796 and 1952388?\nAnswer: 1952388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88263002 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 345 - 342. Sort -8, -3, q in descending order.\nAnswer: q, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019677576 rounded to 4 decimal places?\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/9 + 2\/(-3). Let z(a) = -2*a**3 + a**2 + 1. Let u = 25 - 14. Calculate the remainder when z(w) is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**3*s*u**3 + 24380*g**3*s*u**2 + g**2*s - 29*g**2*u**2 + 9*g*s*u**2 - 5*g*s*u - u**3 wrt g.\nAnswer: -18*s*u**3 + 146280*s*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 26\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(405) + 5)**2 + (5 + sqrt(405) + -1)**2 + -1.\nAnswer: 162*sqrt(5) + 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.91 - 1.148. Let q = o - -0.34. What is q rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1\/4 (c) 0.6 (d) -8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*h**2 + 8*h**2 - 3*h**2 + (-1 - 2*h + 1)*(0 + 0 - 2*h) + h**2 + 5*h**2 - 4*h**2 + h**2 - 4 + 4.\nAnswer: 29*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1. Let k(w) = 40*w - 28. Let t(l) = -k(l) + 6*m(l). List the prime factors of t(-4).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 6:14 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294)*-2 + sqrt(294) - sqrt(6) - sqrt(24)*-3)\/((sqrt(2) - (1*sqrt(12))\/sqrt(6)) + -3*sqrt(32)))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -20571403440?\nAnswer: 20571403440.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 - -1.2. Let u = -2.94 + z. Let k = -810.5 - -810. Which is the nearest to u? (a) 1\/4 (b) -2\/11 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*l = -86*l + 78. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49 and 178141.\nAnswer: 8728909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 138\/506 - 226\/22. What is the tens digit of (4 + -66)*5\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 756170458 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 3870.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a + 92. Suppose 0 = 3*j + 3*r - 84, 0 = 10*j - 5*j + 3*r - 146. Calculate q(j).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39199\/2325 bigger than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4181581, -8363107, -12544633, -16726159, -20907685, -25089211?\n\"Answer: -4181526*k - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 101, 5, 1, -19, 4 in decreasing order.\nAnswer: 101, 14, 5, 4, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**5\/10 + 29*r**4\/2 - 115*r**3\/4 + 43*r**2\/2 - r - 51. Factor z(b).\nAnswer: -(b - 86)*(2*b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 3*d**5\/20 - 5*d**3\/6 + 4*d**2 + 10. Let r(w) = 28*w**2 - 16. Let p(z) = -10*k(z) + 3*r(z). Let v(s) = s. Calculate v(p(u)).\nAnswer: -6*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1*sqrt(500))\/((sqrt(12)\/sqrt(3) + sqrt(4))*6) - (1*(sqrt(5) + -2 + -3 + (sqrt(50)*2)\/sqrt(10)))**2).\nAnswer: -68 + 365*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 20725*w - 62873. Give f(3).\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1111.4, 4, 0.5, 2\/5?\nAnswer: -1111.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254 - -239. Suppose 14 - 218 = -4*k. Suppose 3*a + k = 9. Is z != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 365783107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1360787339.\nAnswer: 25667, 53017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1984, -3965, -5946, -7927, -9908?\nAnswer: -11889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/84 and -52\/4263.\nAnswer: 17052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 + 6*z - 4. Let w(h) be the first derivative of 4*h**3\/3 + 5*h**2\/2 - 3*h - 334. Give 3*f(q) - 4*w(q).\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -40*h + 51*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aapec. Give prob of sequence pc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 29. Let r = 16 - p. Suppose r = -5*o + 5*c + 195, -c + 2*c = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 5 = -q. Suppose -37*c + 46*c - 27 = 0. Calculate the smallest common multiple of c and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15233311.\nAnswer: 47, 324113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 2, p: 1, i: 2, d: 2, f: 1}. What is prob of sequence ii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 9. Let r be s(0). Let u be (-12)\/r + 1559984\/12. Round u to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8 + 11 + 8*x**2 + 2*x**2 - 6*x**2. Let b(q) = 4*q**2 + 2. Give 6*b(a) - 4*s(a).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 7:38 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/3 - 3356*i**4\/3 - 200384*i**3\/3 = 0. What is i?\nAnswer: -1616, -62, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10077 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1870*l + 2056*l + 164831 - 27421 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 845121 + 4776.\nAnswer: 849897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 108083285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38915, 38908, 38901?\nAnswer: 38894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 42496.\nAnswer: 21248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 - 14246*w\/11 - 101944360\/11.\nAnswer: 2*(w - 11540)*(w + 4417)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 251 - 75. Let l = c - 176.00198. What is l rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -4\/7, 11, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 576 and 33.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -279a38 (base 11) in base 10?\nAnswer: -437819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 223934 divided by -83\nAnswer: -2698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342803 is divided by 2274.\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 3*j**2 - j + 5. Let v be z(0). Which is the third smallest value? (a) v (b) 1 (c) 3\/7 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 2625700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7241*x**6 + 28*x**2 + 5*x wrt x?\nAnswer: 868920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o + 2*o**2 - 5*o - 4*o**2 + 3*o**2 + 12. Let s be t(8). What is the third derivative of -13*i - i**s + i**2 + 13*i wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4 - 232*r**3\/21 + 130*r**2\/7 - 8*r + 28. What is m in a(m) = 0?\nAnswer: 2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 346, 754, 1322, 2050, 2938, 3986?\nAnswer: 5194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 - (1 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.76 - -1.34. Let m = z - 11. Let o = 2348 + -2348.1. Is o != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -202*j + 68*j - 2278 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4555166 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 172290 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n*n*n**(2\/13)*n)\/n*n))\/n*(n\/(n*n**(1\/8)*n*n))\/n*((n\/n**1)\/n)**(3\/7) assuming n is positive.\nAnswer: n**(-4155\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h - 5. Suppose -10*f - 60 = -4*f. Let g be r(f). Let m be (24\/(-14) + (-10)\/g)*-5. Solve 3*c - m = -25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from pcpppfepgppgpcgcpcgf?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 - 22763838?\nAnswer: -22763837.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + v**2 + 1. Let d = -3 + 5. Let k be x(d). What is the biggest value in k, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/17800 and -7\/23480.\nAnswer: 10448600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwcccc. Give prob of picking 2 w and 2 c.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = -k + 3*d, 30 = 5*k - 5*d. Let n be k\/27 - 4\/18. Suppose 3*l + 5*u = 21, n*u = -4*l + 5*u + 28. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936 = -76*d - 252 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002293576 to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -1. What is the remainder when 9*-1*(-30)\/w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2555848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 73, 7.\nAnswer: -20, 7, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = i + 43, -4*i - w - 2*w - 197 = 0. Round i to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*q - 4518 = 0, -259 - 1247 = -s - 3*q. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.074?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24\/2 - (-10 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2063142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - 5*p + 59. Let z be f(-11). What is z rounded to zero decimal places?\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, f: 1}. What is prob of picking 1 f and 1 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (16 + 2 + -9 - -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -n + 7, -2*k - 3*k = -3*n + 1. Suppose -4*t = -3*t + 3*x + 16, 4*x = 3*t - 17. Sort t, 4, n, 5.\nAnswer: n, t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p*u**5 + 329*p*u**3 + p + 38*u + 2 wrt u.\nAnswer: -60*p*u**3 + 1974*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5752 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9662*y**2 - 953 + y + 953.\nAnswer: 9662*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104113297.\nAnswer: 7, 17, 9278263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -474, -4\/7, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**7\/280 - 11*d**4\/8 - 7*d**3\/6 - 29*d**2. Let h(q) be the first derivative of a(q). What is the derivative of h(r) wrt r?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.3, 94 in ascending order.\nAnswer: 1\/4, 0.3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -63543151 (base 7) in base 3?\nAnswer: -101010210021001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9\/4, 7028, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*z = -109 + 120, 19 = 5*h - z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.3 - -6. Let n = 5 - 7. Put 4, r, n in decreasing order.\nAnswer: 4, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - 0.5. Suppose -3*k + 2*g + 30 = -g, -4 = -2*k - 2*g. Let f = -121 + 121.5. What is the second smallest value in f, v, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1392 and 16400?\nAnswer: 1426800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpeeepfepeeeee. Give prob of sequence empp.\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 407\/9 + 8\/(-36). Let s be 13\/g - (-6)\/(-15). Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - d**3 + 13*d**2 + 0 + 6*d**3 - d**4 + 0*d**4 - 7 as g*d**4 + v + h*d + i*d**2 + c*d**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8739?\nAnswer: 8739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 10*l + 10 = q, -3*q = 3*l - 12. Solve -l = 3*k - 3*y, -y - y = 5*k - 23 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 7\/8703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) 1\/5 (b) -2\/11 (c) -0.2 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 7060?\nAnswer: 28240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**3 - z - 2. Let m(y) = -3*y**3 - y - 2. Give 4*g(l) - 3*m(l).\nAnswer: -3*l**3 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 5, 0, 0.8, 3 in decreasing order.\nAnswer: 5, 3, 0.8, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -2*m - 6*q + 10, -m = q. Suppose m*h - 10 = h. Solve -10 = -4*c + h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 119 (b) -100 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -d0 (base 16) to base 10\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -948, -5402, -13340, -24762, -39668, -58058, -79932?\n\"Answer: -1742*c**2 + 772*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-228)\/(-816))\/((-1140)\/120).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 14) to base 8.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1644 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*a - 98, -101 = -15*b + 11*b + a. Solve 2*w = -b + 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 8:31 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/6 (b) 3\/2 (c) -63 (d) -4 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -352716 by 2.\nAnswer: -176358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 358 - 183. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.5, -56, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 45*s**2 + 8. Is k(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 525 by 2.\nAnswer: 525\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*z - 110*z - 136 = 0. Sort z, 6, -2, 12 in decreasing order.\nAnswer: 12, 6, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3955 divided by -5\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42393208961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6715619*h + 6715619*h + 3*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (22\/((-1452)\/33))\/((-1)\/(-22))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 12.5, -138, 3.\nAnswer: -138, 1\/3, 3, 12.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5237, -5199, -5161?\n\"Answer: 38*v - 5275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 25 + 263 = 0. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 3. Let u = 150 + -72. Let c = -13 - u. Let l = -80 - c. Let d(m) = -5*m + 16. Calculate l*w(t) + 2*d(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -15*u - 67. Let p be r(0). Let x = p + 96. Suppose -3*d + 3*s - 2*s = -x, -s = 3*d - 31. Calculate the remainder when 69 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + (3 - 50 - -60)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 - 4.03. Let u = 0.13 + d. What is the nearest to u in -1\/2, -0.4, -13\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 3:29 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3724 a factor of 120225616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 7:58 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 31*j + 553. Give f(13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z - 716 + 16 = 0. Let s be (15\/z)\/(63\/(-70)). Determine r so that 0*r**2 + 0 + 5\/6*r - s*r**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6021957976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 3*t + 1\/4*t**4 - t**2 - 30 + t**3. Determine v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3836 + -26801\/7. Find the common denominator of 21\/22 and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1296\/13392*(-899)\/(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*i = -94*i + 4708800. What are the prime factors of i?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from ipsiiiiiiisiipi?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**4\/2 + 2*l**3\/3 + 3*l - 6. Let i(n) be the second derivative of n**4\/12 - 6*n. What is -2*i(m) + r(m)?\nAnswer: -2*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 46*p**2 - 44*p + 40. Calculate the remainder when 114 is divided by m(22).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/120*-11*8)\/(8\/(-30)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 70. Suppose -o + 2 = -j. What is the lowest common multiple of 2 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*m + 50. Let h(p) = -p + 12. Let n be h(m). Suppose 5*o - 2*o - 4*q = 10, 5*o - 3*q - 24 = 0. Solve k - o + n = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84116985 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -698, -671, -644, -617, -590, -563?\n\"Answer: 27*q - 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 - (2 + -3 + -10) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -89*n**2 + 2*n + 1. Let q be d(-1). Suppose -j - 378 = 5*l + 132, -3*l - 306 = -j. Let p = q - l. Calculate the greatest common factor of p and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 58.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v + 11. Let d(b) = -b + 4. Let p(q) = 11*d(q) - 4*x(q). Let w(n) = 4*n. What is p(w(y))?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 4*j**2 - 12*j.\nAnswer: j*(j - 2)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**(41\/5) assuming g is positive.\nAnswer: g**(-41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 239 - 233. Suppose 860 - 3704 = -i*q. Is q a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4*16\/100. Let t = -2 + 1.8. Which is the second biggest value? (a) t (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 33808, 51, 2 in increasing order.\nAnswer: -3, 2, 51, 33808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8*i - 6. Let j(k) = 1546 - 7*k - 519 - 515 - 519. Give 5*j(o) - 6*p(o).\nAnswer: 13*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -12*s**3 - 7*s + 5. Let m(g) = -6*g**3 - 3*g + 2. Let j(u) = -2*u**3 - 15*u**2 - 18*u + 28. Let w be j(-5). Determine w*m(v) + 3*n(v).\nAnswer: 6*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 17*a - 32. Suppose 3*q + 7 + 1 = 4*z, 37 = 3*q + 5*z. Suppose q*f = 5*f + 14. Let m be l(f). Solve -y = -3*y - m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 98, -334, 0.3, 1\/2, -0.3 in increasing order.\nAnswer: -334, -0.3, 0.3, 1\/2, 2, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 1.603192949?\nAnswer: -2.103192949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 658286*h + 8557721. Calculate t(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 363, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 30*f + 0*f**2 + f**2 + 7 - 29*f to o*f**2 + v + g*f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34193 = -249*j - 854*j for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131890, -131739, -131496, -131167, -130758, -130275, -129724?\nAnswer: -129111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -137931 less than -137931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.06 and -2.5.\nAnswer: 17.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4426749.4 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -8. Let o(g) = g**2 - 2*g. Let q be o(m). What is the units digit of (q\/2)\/(2\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 1370406247.13?\nAnswer: 1370406252.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = -o + 1, -3*c + 2*o + 2 = 0. Let d = -8 - -109. Let f = d + -1920\/19. Which is bigger: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/1766938 and 139\/9404670?\nAnswer: 291544770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 5:03 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 12:30 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -4. Let p = 150 + g. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 3*p - 2. Let o(h) = 7*h**2 - 13*h - 9. What is -2*o(c) + 9*t(c)?\nAnswer: 4*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 699*z**2 + 393 - 49*z**2 + 1184*z**2 - 576 - 358*z**2 wrt z?\nAnswer: 2952*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -23.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984a (base 13) to base 14.\nAnswer: 7a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfkfkff. Give prob of picking 1 f, 1 s, and 1 k.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 10:46 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -34*m + 23*m. Find the third derivative of 76*c**2 - 1 + 1 + 20*c**2 + 0*c**6 + 74*c**m wrt c.\nAnswer: 8880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 13.2. Let m = y + -0.7. Let h = 10.5 - 15.5. Which is the third biggest value? (a) h (b) 3\/8 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2121, 3526, 4905, 6252, 7561, 8826, 10041, 11200?\nAnswer: 12297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spplmlpp. What is prob of sequence mpps?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -97, -206, -329, -466?\n\"Answer: -7*b**2 - 88*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 6. Let u be ((-15)\/3)\/(-2 + 1). Let y be w(u). Find j, given that 0 + 4\/7*j**3 + 0*j + 2\/7*j**y + 2\/7*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 divided by 2312.\nAnswer: 131\/2312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -711 + -416000?\nAnswer: -416711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4212 is divided by (-1)\/(-6) + (-3)\/((-72)\/1172)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 1. Let q = v - 0. What is the derivative of -68*i + 68*i + 5 + 5*i**q wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105545 and 29645?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 13*y + 1107 = -19661. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -460 + 23*i - 69 + 528 in the form z + b*i and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 10 = -5*z, -v = 5*z + 4*v. Let p be (((-10)\/z)\/(-4))\/((-2)\/(-4)). Sort -13, 5, 4, p in descending order.\nAnswer: 5, 4, p, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -88?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*f**2 - 34*f**2 + 12*f**2 - 46*f + 9*f**2 as d*f**2 + y + z*f and give z.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*c + 2 + 13, 5*c + 15 = 4*f. Suppose 56 = f*q + 16. Let t(b) = -49*b + 12. Let h be t(q). What is h rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 417302, 417306, 417310, 417314?\n\"Answer: 4*r + 417298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -3.9. Which is greater: -6\/13 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39775 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028942 rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.3, 3, -182 in increasing order.\nAnswer: -182, 0.3, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6047371, -12094728, -18142085?\n\"Answer: -6047357*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 62. Let r(s) = 8*s - 10. Let x be r(5). Suppose -x = 3*v + 4*t - t, 0 = 5*v + 3*t + 48. Are h and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -43 (c) -0.3 (d) -2\/5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/10)\/(242\/(-660))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/15 in -20\/13, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + m = 977 - 133, 0 = 2*d - m - 844. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*r = 18858, -f - 2*r + 9424 = -5*r. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5 + 12*k**4 - 79*k**3 + 106*k**2 + 60*k - 136.\nAnswer: (k - 2)**3*(k + 1)*(k + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29563727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -1404?\nAnswer: -1400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -163, -299, -421, -523, -599, -643, -649?\n\"Answer: q**3 + q**2 - 146*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -96*z**3 - z**2 - 3*z + 1. Let l be j(2). Let i be (100\/(-3))\/((-5453)\/l - 7). Round i to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4119327 - 1882327. Round q to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5368?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -32*z - 61. Let s be r(20). Let f = s - -1031. List the prime factors of f.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 5 + 0)*(28 - 33 + 73) + 2 + 0 - 1)*(0*g**3 + g**3 + g**3).\nAnswer: 818*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 98 (c) 0.1 (d) -0.04033 (e) 2\/37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 >= 14222\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r. Let p(w) = 120*w. Calculate p(b(u)).\nAnswer: 480*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(18\/(-12))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*b + 13, -2 = 3*b - 4*l - 7. Let m(t) = 6*t**2 + 14. Let s(r) = -r**2 + 1. Let v(p) = b*m(p) + s(p). Differentiate v(x) with respect to x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7171 = 3*x, 4 = 49*x - 50*x. What is the greatest common divisor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-7 - -9 - -1) + -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2)\/q)**(-39)*q*q**(-1)*q\/(q\/q**(1\/2)))\/(q*q**(-1\/2)*q\/(q*(q*q\/q**(-6)*q)\/q))**22 assuming q is positive.\nAnswer: q**185","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 4)*(0*r + r + 0*r + (-r - 2 + 2)*(0 - 2 + 0) + r - r + r + 20953 - 20953 + 1071*r).\nAnswer: -5375*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70877988 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/9070218 and 1\/24?\nAnswer: 36280872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95945?\nAnswer: 5, 31, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -392*f**2. Let r(z) = 123303*z**2 - 61655*z**2 - 61653*z**2. What is q(r(c))?\nAnswer: -9800*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/171*(-192)\/792. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-1 - 65\/(-10)). Solve 16*a = y*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 44545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/3*54\/(-8). Suppose -t - t + f = 0. Calculate the remainder when t is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -5)\/(-15) - (-9)\/15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 16\/24901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 8 = -2*x. Calculate the remainder when 101 is divided by x\/(-9 - 1) + (-5032)\/(-340).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024972691 rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - (-2 + 2 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4 + 11. Let p = -0.1 + 0.6. Suppose 10 = -o - o. What is the closest to 2\/3 in u, o, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-211)\/(-10) + -1. Let p = 20 - y. Which is the closest to 1? (a) -0.4 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u - 90396 = 0. Let r = u + -451869\/20. Calculate the common denominator of (-261)\/60 - (-2)\/8 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 9. Let i be z(-8). Let q = i - -4. Sort q, 5, 4 in ascending order.\nAnswer: q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 528 by -5.\nAnswer: -528\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/44 and (1\/(-102))\/(((-884)\/(-986))\/13)?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 4:39 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45\/2 - 40*w**3 + 75\/2*w + 20*w**2.\nAnswer: -5*(w + 1)*(4*w - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*l**4 - 1190*l**3 - 683967*l**2 wrt l.\nAnswer: 2832*l - 7140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let t(b) = b - 6*b - 4*b - 2. Let w be t(h). Solve -w + 2 = 5*y - 2*a, -5*y + 10 = a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.42 and 17.\nAnswer: -58.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from aeaa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.37 + -18.03. Let s = -18.6092389 + 0.2076589. Let a = i - s. Round a to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111000101 + 10?\nAnswer: 11111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(1\/13)\/l)\/l*l\/(l**(3\/2)\/l)*(l\/(l*l*l**(-1\/2)))**(-12))**(-7\/3) assuming l is positive.\nAnswer: l**(-1015\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/3))**(-6)\/(p*p*p\/p**(-15)*p*(((p*(p*p*p**(-1\/8)\/p)\/p)\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(-151\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + 0 + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43639\/3 - -14546. Which is the nearest to u? (a) 5 (b) 0.1 (c) -16 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558418.\nAnswer: 2, 7, 39887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29177753 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9759, -9773, -9793, -9819, -9851?\n\"Answer: -3*z**2 - 5*z - 9751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*d**3 - 143*d**3 - 131*d**3 + 411*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15392 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -226*w + 11. Let j(u) = -351*u + 17. Let v(d) = -9*j(d) + 14*s(d). Let r be (-2)\/(-5) - (-14)\/(-10). Calculate v(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -1\/4*v**4 - 5*v + 2*v**3 + 1\/2*v**2 + 3. Calculate the remainder when o(4) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -275922739285 + -0.3\nAnswer: -275922739285.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 1c2?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1014 - 1014.4. Put y, -90, -3\/2 in descending order.\nAnswer: y, -3\/2, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972 is divided by 122?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -702*i + 4*i**2 - 388 + 318*i + 3*i**2 - 3*i**2 = 0.\nAnswer: -1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(12) + sqrt(72)\/sqrt(54)).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180154, -360350, -540542, -720724, -900890?\nAnswer: -1081034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by 11.\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 902920 = 14*g - 1133293. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 101*a - 42. Let j be l(8). Let t(z) = 2 - 386*z - 383*z + j*z. Calculate t(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 1:36 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 204535523 + -30?\nAnswer: 204535453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*q - 17 + 17)*(0 - 1 - 1)*(8 + 2 + 7).\nAnswer: -816*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16713818 and 2?\nAnswer: 16713818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2 = -7*z + 2*b, -5*b = -2*z + 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*j + 0 + 20*j**2 - 46\/3*j**3 + 8\/3*j**4 = 0. Calculate j.\nAnswer: -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 39, 97, 189, 321?\n\"Answer: o**3 + 8*o**2 - o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 533724659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4) + ((-81)\/(-12) - 3). Solve 4*q - v - 4*v - 21 = 0, 14 = -h*q - 2*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.942 - 26. Let p = -157.942 + y. Let m = p - -158.0000069. Round m to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89338.\nAnswer: 2, 19, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g - 5*k = -28*g - 9, 4*g - k = 7. Solve 44 - 50 = g*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/(sqrt(147) - sqrt(3))*6)\/((-5*sqrt(110) - sqrt(110))\/sqrt(10)*-5))**2 + -1.\nAnswer: -299\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 162*m + 5351. Give i(-44).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 322 = -2*g, 24*g + 4 = 20*g. Solve z*u - 65*u - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)*q)\/q)**29 assuming q is positive.\nAnswer: q**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*z**3\/4 - 13*z**2\/4 + 7*z\/2 + 2.\nAnswer: -(z - 1)*(z + 2)*(9*z + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 w, 1 m, and 1 d when four letters picked without replacement from {d: 3, w: 4, m: 5, f: 1, b: 1}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8692819 a multiple of 2680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -16*p + 3. Let g(j) be the second derivative of 4*j**3 + 0 - 5\/2*j**2 - 114*j. What is 5*g(f) + 8*r(f)?\nAnswer: -8*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -26. Are p and -1\/14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 1. Let d = 8 - 11. Let r(t) = -4*t**2 + 2*t + 3*t**2 + 4 + t. Let s(o) = d*j(o) - r(o). What is the first derivative of s(f) wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193249339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10001110011001?\nAnswer: 10001110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + (-14915 - -5) + -1. Is s\/(-3) + (-13)\/39 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*y = 287*y + 210 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 703 - 705. Let a(d) = -d**2 + 2*d - 3. Let c(o) = 4*o**2 - 9*o + 13. Determine m*c(k) - 9*a(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 14 = -30. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -5\/81, -1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22574.9 + 22575. What is the closest to 0.4 in 233, 4, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 5 (b) -1\/4 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809394?\nAnswer: 2, 3, 277, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 2*d - 1. Let n be c(-1). Let b = n + -4. Is 13 a factor of 72\/(b\/(-2)) - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 - 8*b + 3. Let c(u) = u**2 - u. Let m be (2\/(-6))\/((-1)\/(-3)). Let s(n) = m*h(n) + 3*c(n). Let w be s(4). Is w at most -2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/7 (b) -41.504 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 3*b**2 - 3. Let a(t) = -3*t**3 + 4*t**3 + 2 + 2*t**2 + 0. Calculate 3*a(c) + 2*f(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6350126777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - 19.61.\nAnswer: 7.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94872143?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k. Let o(i) = 14*i**2 - 287. Determine o(z(b)).\nAnswer: 14*b**2 - 287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q - 7. Give o(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 9*l**2 + 53*l**2 + 19*l**2.\nAnswer: 63*l**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -27287400 divided by -2225\nAnswer: 12264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-9) + 60\/9. Suppose -2*b - u + 1096 = 0. Let z = b + -335. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*3 + 1)*-4 + -5 + sqrt(245) + -3 + (3*sqrt(5) - sqrt(5))**2.\nAnswer: -77*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 121, -275, -721, -1211, -1739, -2299?\n\"Answer: q**3 - 31*q**2 - 310*q + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**2*z + 5*c**2 + 106381*c*z + 903*z - 2660 wrt c.\nAnswer: 4*c*z + 10*c + 106381*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9345 is divided by 1699.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -8202215?\nAnswer: 8202214.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -300102133 (base 4) to base 14\nAnswer: -5211d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-1))\/(9 - 3). Let x = -0.3 - -0.5. Let f be (4\/28)\/((-2)\/(-4)). Which is the nearest to f? (a) 2\/9 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4221, -33570, -113213, -268296, -523965, -905366?\nAnswer: -1437645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-1728)\/60))\/((-10)\/(-6)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 5, c: 15}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1967 + -80\/281. Let s(n) = -n**2 - 28*n + 338. Let p be s(9). Let x = -0.4 - 0. Which is the second smallest value? (a) z (b) x (c) p (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/9 - 12082*g**2\/9 - 12088*g\/9 + 8056\/3 = 0. What is g?\nAnswer: -2, 1, 6042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.87 and 0.086555554.\nAnswer: 0.956555554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586642 = 2*z + 4*b, -4*z = -5*b - 2849 - 1170370. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 532 + -527. Suppose p*y - 19 = -4. Suppose -6 = 2*o - 20. Solve -y*n + 5 = -o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.00622 (b) 1 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, -2\/675 in descending order.\nAnswer: 2, -2\/675, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/7 - (7 + -3)\/(-28). Suppose 4*s - s + 4*r = 5, g = -r - 1. Let t(c) = 2*c - 5*c + 1 + 3*c - 5*c. Let b(z) = -2*z. Give s*t(x) - 8*b(x).\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from jjjdgtjffufjff?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 - 1 - 23 + 40 + 11 + 1 + 2 - 1 + (0 - 1 + 3)*(3 - 1 - 1))*(362 - 362 + 68*f) to y + z*f and give z.\nAnswer: 1904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 845*l + 1057*l + 281*l to the form f*l + c and give f.\nAnswer: 2183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 573 and 27.\nAnswer: 5157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 3263 = 8298. Let b = s + -384. Let n = b - 24681\/37. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b**4 + 0*b + b**3 + 0*b**2 + 0*b**5 + 0*b**6 - 1 - 2\/7*b**7. What is the third derivative of a(z) wrt z?\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -101525, -203040, -304551, -406058, -507561, -609060?\n\"Answer: 2*m**2 - 101521*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 195\/(-273)*-4*(-14)\/(-36)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -20*k**4 + 537675*k**3 + 3361060*k**2 + 5109060*k + 1075600 = 0.\nAnswer: -4, -2, -1\/4, 26890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 456058.5ml in litres?\nAnswer: 456.0585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.5. Let u = 86.401 + -86.200983. Let w = u - r. Round w to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 3.12 (b) -12 (c) 4\/5 (d) -2\/5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9424)\/(-3) + -13 + 12. Let a = -25145\/8 + z. Let r = 21517\/120 - 908\/5. Calculate the common denominator of a and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113296468 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -5402.\nAnswer: -64824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 770 - 6914\/9. Is f >= -2\/151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3*b + 14, b - 2 = -0*m - m. Let u be (1 - 1)\/3 + m. Solve -u = -2*v + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 300 + -310. Calculate the remainder when ((-15)\/h - 0)*(-230)\/(-3) is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046 + -1081 + 202\/6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*((-5 + 2*sqrt(325) - (-1 + sqrt(325) + sqrt(325) + -1)) + -2)*-4*5)**2.\nAnswer: 1440000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -131, -260, -389, -518?\n\"Answer: -129*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44 + 34)\/((-9)\/((-36)\/16)))\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 1. Let o be q(1). Let w be -22*(o - 6\/3). Suppose 2*x = x - 223 + 245. Is x < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58892?\nAnswer: 2, 14723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49*-5.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716*d + 629*d - 4002 = 0 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -164204*m + 328451. Give g(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*y**5 - 57514*y**4 - 16*y**2 - 220662006*y wrt y.\nAnswer: 580*y**3 - 690168*y**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -2)*1 + 0. Let j be o\/((-6)\/(-4)) - -3. What is the units digit of -3 - -9 - -1*j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2190 = -16*l. Let d = -142 - l. What is the lowest common multiple of 2 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 45, 71, 97?\n\"Answer: 26*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 9*c + 8*c. Let v(d) = d + 2. Let y be v(0). Suppose y*r + f = 0, -2*r + 14 = -3*f - 2. Solve 3 = -3*a - s, c = -2*a + r*s - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -14. Let s(k) = 3 - 2 - 12*k**3 + 5 - 9*k**2 - c*k - 15. Let u(y) = 3*y**3 + 2*y**2 + 2*y + 2. Give -2*s(z) - 9*u(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 70*q = -1127. Which is smaller: 153\/7 or q?\nAnswer: 153\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 224 + -219. Solve -c*f = 3*s + 58 - 28, -s = 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*n - 13 = -0*n, -4*k - 12 = 4*n. Let l be 291\/27 + (-2)\/(-9). Suppose -5*f - l = 4. Put -5, k, f, -2 in increasing order.\nAnswer: -5, f, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 92 = 4*d, 98*d = 94*d + 2*m + 52 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -34*w**2 + 322*w - 141. Calculate m(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 17*v**2 + v + 91. Suppose 50*t = 41*t + 153. Is j(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-nine thirds of a century?\nAnswer: 31600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-54)*(-52)\/((-11024)\/(-159)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12554 + 321?\nAnswer: -12233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = -91 + 175 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-26))\/(47\/(7943\/78))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*t - 53256 + 26623 + 26633.\nAnswer: 156*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -69\/11, 3\/7, -1\/4, -8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 2945 + -2706. What is the greatest common factor of t and 35372?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 538545 divided by 179515\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3 - 17)*(5 + 2 - 6)*(d + 2*d - 4*d).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -73, 8, -33 in increasing order.\nAnswer: -73, -33, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12359 (base 14) in base 15?\nAnswer: d316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) 4 (b) -2 (c) 2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 4. Let m(a) = f*a**2 - 3*a**2 + 0*a**2. Let x(l) = l**2. Determine m(x(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 1. Let w be s(0). What is the closest to w in -3\/5, 0, 0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h**5 - 94*h**2 - 238*h + 3?\nAnswer: 140*h**3 - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 3*l**2 - 3*l + 3. Let r be q(2). Suppose -23*t = -15*t + 32. Put 2, t, r in descending order.\nAnswer: 2, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/51 + 47\/102. Let s be ((-16)\/(-20))\/(2\/5). What is the nearest to n in -5, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/11)\/s*s*s)\/(s\/s**(-32)*s))\/(s**23\/(s\/(s\/(s**(-2\/7)\/s)))) assuming s is positive.\nAnswer: s**(-4453\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4331*m + 291974 + 154119 for m.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.759 + -15.941. What is y rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 190317*r + 38484838.\nAnswer: -(r - 202)*(r + 190519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 82.04435 years?\nAnswer: 0.08204435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/9 + 563404*k**2\/3 - 39678384002*k + 1428394780808\/9.\nAnswer: -2*(k - 422551)**2*(k - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -o + 47. What are the prime factors of o?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -28. Suppose -o - 11 = -2*t - i, 4*t - 24 = -4*i. Let d be 2\/(-1)*(-52)\/13. Calculate the highest common factor of t and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 8*q. Let z = 37.6 - 24.6. Is z >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/648 and 17\/648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2. Let a(f) = 1145933*f**2. Calculate a(z(g)).\nAnswer: 4583732*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 850, 824, 786, 742, 698, 660?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -623 (b) -6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 35284 and -5721311801.\nAnswer: -5721276517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 8. Let x(t) = 2*t - 5. Let y(w) = 5*o(w) - 7*x(w). What is y(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x + 74. Let j(t) = -t + 36. Let u(y) = -4*d(y) + 9*j(y). Let z be u(-11). Which is the smallest value? (a) z (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26514840?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -da (base 14) in base 11?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1, 1.5, -0.1 in descending order.\nAnswer: 1.5, 1, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 3538337539.\nAnswer: -3538337538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d + 6970*d**2 + 12*d**3 - 6976*d**2 + 28*d**3 wrt d.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**26))\/(o*o*(o\/(o*o\/(o*o\/o**(-1\/45)))*o)\/o))\/((o**3*o)\/(o\/(o\/o**(-14)*o))) assuming o is positive.\nAnswer: o**(-2161\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y = 25*y + 106920. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2225261, 4450543, 6675845, 8901173, 11126533, 13351931?\nAnswer: 15577373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 8*m - 45 = 0. Let z = m - 0. Suppose z*s + 3*k - 26 = 0, 2*k - 7*k = 2*s - 18. Solve 0 = o + 5, -25 = 4*q + s*o + o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 9:29 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 314123 * 1.04.\nAnswer: 326687.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 49. Sort 0, 28, 5, z in increasing order.\nAnswer: 0, z, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a7c34 + 11?\nAnswer: 2a7c45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -69100100 rounded to the nearest one hundred thousand?\nAnswer: -69100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 1. Let w be y(-4). Suppose -w*h - 378 = 282. What is h rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4 - 8*h**3 + 54*h**2 + 140*h - 400 = 0. What is h?\nAnswer: -5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1803 + -827. What are the prime factors of v?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -69. Let b(k) = -2*k**2 + k + 3. Let l be b(z). Solve l*j = -3*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 3*s - 2*s)*(2*s**2 - 5*s**2 + 2*s**2) + 8 + 3*s**3 - 8.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 7024094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12355*v**2 - 6189*v**2 - 6158*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(363) - sqrt(363)) + (sqrt(363) - sqrt(363)*-2)*4 + -1 + (sqrt(363) + -1 + sqrt(363) + -3 - sqrt(363) - sqrt(363)))**2.\nAnswer: -990*sqrt(3) + 29428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4653*j**3 - 2*j**2 - 2*j + 2. Let h(c) = -55835*c**3 - 25*c**2 - 25*c + 25. Calculate 4*h(y) - 50*q(y).\nAnswer: 9310*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113484 and 1784092.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6b816 (base 13) to base 12\nAnswer: 95b48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 0.8, -53, 2\/5, -247, -4?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -23. Let x = k + 9. Is x at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**10*r*r)\/r**(2\/5) assuming r is positive.\nAnswer: r**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 9*j**2 + 29 - 3.\nAnswer: 9*j**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*l**3\/l)\/(l**(-4\/19)*l**15) assuming l is positive.\nAnswer: l**(-300\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.1. Let z(l) = 3*l - 22. Let n be z(7). Let s = -22 - -22.3. Which is the third smallest value? (a) s (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 772, 3033, 6794, 12049, 18792, 27017, 36718?\nAnswer: 47889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29740.\nAnswer: 2, 5, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((((u*(u*u**(2\/47)*u*u)\/u)\/u)\/u)\/u)\/u)**33)**(2\/13) assuming u is positive.\nAnswer: u**(132\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-42))\/((7\/49)\/(-1)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 2 - 3 - 5 + 2 + 5 + (0 - 1 + 0)*(3 - 3 - 1))*(-2 - 3 - 6364*n + 6344*n) as d*n + b and give d.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53662275.\nAnswer: 3, 5, 238499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 bigger than 60117579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 21.2 (c) 2290 (d) -2\/9 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 32445978.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 4:52 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z - 48*z - 16*z - 81*z + 9*z.\nAnswer: -127*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4 - 16 = -3*i, -1 = -w. Suppose -i*l = -l - 1638000. Round l to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-1 - 0) - -2. Let q = x + -8. Let c = 8 - q. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 1112942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*u**2 + 35896*u + 39711499?\nAnswer: -68*u + 35896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104854 is divided by 19049?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -3, -2.\nAnswer: -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44*15 - -6 - 7.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-29 - -30 - (2 - (-2 + -1))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83336 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14916897?\nAnswer: 3, 599, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 12 - 42 - 4*f + 19.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.511 and -72.7.\nAnswer: -73.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -1.3, -0.1, 0.6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11 + 0.14. Are -0.1 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64.969 - -0.031. Let u = 64.9 - m. What is the biggest value in 5, -8, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 299078*r**5 - 104*r - 737.\nAnswer: 5981560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11712930 divided by -2342586\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014464605 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 3673*k - 15 = 3668*k, 2*t - 6 = k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67\/34 - 1481\/68. Let l = v + 23. Which is the smallest value? (a) 0 (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 50 = -734. Let l = -4329\/19 + z. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s - 4\/5*s**3 - 22\/5*s**2 - 1\/5*s**5 + 8\/5*s**4 + 14\/5 = 0?\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164 + 163.87. Let r = u - -0.63. Let o = -9.3 + -1.7. Sort r, -6, o in decreasing order.\nAnswer: r, -6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51769 - 0?\nAnswer: -51769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 193?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/2 - 11*h\/2 = 0. What is h?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4 + (2 + 0 + 0)*(3 - 4 + 3) - 4 + 4 + 2 + 1 + 3 - 2 + (-4 + 4 + 2)*(-5 + 1 + 3))*(-x + 2 - 2).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 666 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -57, -194, -335, -408, -341, -62, 501?\n\"Answer: 12*s**3 - 74*s**2 + s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616057327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 - 4)*(-2*a + 0*a + a) + 2 - 2 - a)*(4 + 1 - 2)*(2*a - 2*a - a) + 2*a**2 - 16*a**2 + 16*a**2 + 27*a.\nAnswer: -a**2 + 27*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 241*f + 76*f - 69*f + 4 as h*f + t and give h.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 273, 391, 491, 567?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5631 is divided by 303?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**5 + 3*c**5 + c**5 + 3*c**5 + 4 - 4 + (2*c**2 + c**2 - 5*c**2)*(c**3 + 0*c**2 + 0*c**2) + 2*c**5 + 2*c**5 - 6*c**5.\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*b - 8 = 6, -4*k - 2*b + 12 = 0. Suppose k*f - 12 = -f. Let o(u) be the second derivative of u**3\/2 + u**2 + 2*u. Give o(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -56, 3 in descending order.\nAnswer: 4, 3, 2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 746237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4 and 143\/1740.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 11. Let o be z(4). Is 5 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 = -4*h. Let o = 1598 - 1582. Suppose -h*z + o = z. Solve -5 = -3*w + z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - ((-54)\/15 + -9 + (-432)\/(-45))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -267.595921 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3818 - -3846. Solve -j + 8 = 4*m - 9, -5*j + r = m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x**2 + 3*x - 4. Suppose -5*r + v - 120 = -4*v, 3*r - 2*v = -76. Let j = r - -24. What is the units digit of d(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 194120 and 174708?\nAnswer: 1747080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1602*a**2 - a + 1909*a**2 + 0*a - 313*a**2 + a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -287\/174 + -1\/58. Let w(h) = -h - 4. Let o be w(-7). Let c(a) = -2*a + 3. Let l be c(o). Sort 1, q, l in decreasing order.\nAnswer: 1, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 8. What is the common denominator of (-1 + (-190)\/(-195))\/(y\/(-79)) and 71\/24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -1488375, 5 in increasing order.\nAnswer: -1488375, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0647561 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 - -21 - -46 - (0 + -17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(-1 + (sqrt(108) - ((sqrt(108)*-2)**2 + -2))).\nAnswer: -2588 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/3 + 380*d**3 + 16576*d**2\/3 - 13724*d - 18870 = 0. Calculate d.\nAnswer: -555, -17, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, p: 1, s: 1, k: 3, i: 2}. Give prob of sequence sie.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 93?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 25 + 10 = 0. Suppose 12*y = -l*y + 6225. List the prime factors of y.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 883216246*3\nAnswer: 2649648738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.98 and 14998.\nAnswer: -44694.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*o**3 + 16665*o + 128 - 16665*o with respect to o.\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1443 and 999.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7324 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/5? (a) 2 (b) 2\/5 (c) -3 (d) 3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 q when three letters picked without replacement from {a: 8, n: 2, q: 5, c: 3, p: 2}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l - 9 = -5*w, 3*w + 2*l - 5 = 0. Suppose -m - w = -u - 2, -3*u + 21 = 5*m. Let b = u - -8. Solve -b = -3*g + g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3694, 3707, 3730, 3763, 3806?\nAnswer: 3859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.262 + -0.462. What is the closest to 1 in 0.01, z, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 2*x + 10 = -36 - 2, -2*z + 25*x = 4*x - 74 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1539*h + 59. Is q(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -812, -1625, -2438, -3251, -4064?\n\"Answer: -813*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28454 = 5*g - 5*m - 28489, -2*g = -4*m - 32 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12201)\/(-2) + 21\/42. Suppose 0 = k - 17885 + i. Suppose -4*c + 2044 = -k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -256*g**4 + 248*g**4 + 50*g**2 - 10*g**2 wrt g.\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 3910 = -0*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:11 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 + -13 + -1 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - c. Let b be n(-2). Is 46\/(2\/(-6)*b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (93\/(-2))\/(9\/18). Let a = 126 + u. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/389 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(3\/(-45))\/((-6)\/(-18))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 34 = -6. Let o(f) = 5*f - x*f + 3*f - f**2. Let c(u) = -3*u. Determine o(c(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3494816822 + 2?\nAnswer: 3494816824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1303*v = -4*y - 1304*v + 13, 35 = 5*y + 5*v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - w**2 - 24*w**3 + w**2.\nAnswer: -23*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5604908.9 - -98439.\nAnswer: -5506469.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**3 - 1064*n**3 - 2538*n**3 + 583*n**3.\nAnswer: -3007*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -835 + 3681. Suppose s = 16*w - 3538. Calculate the highest common factor of w and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*o + 2, -1 = 2*r + o. Solve 4 + r = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42737601283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 8. Let d = 36 + -18. Suppose -4*r = -2*x + x + 1, -5*x = 3*r + d. Which is the biggest value? (a) r (b) m (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*q = -105, -2*i - i + q - 52 = -39 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 8*b**2 + 9*b - 11. Let d be f(8). Let c = d - 21. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*v - 7 - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f. Let s(y) = 3*y. Suppose -b - 8 = -1. Let t be (2\/(-6))\/(5\/15). Let w = 4 - t. What is b*s(l) + w*h(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*h - 2*h. Solve 3*r - 2*r - h*r**3 + 2*r**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + 1)*5 + sqrt(44))*-5 + ((sqrt(11) - (sqrt(55)\/sqrt(5) + sqrt(11)))**2 + -2 - ((sqrt(11) + 1)*-6)**2).\nAnswer: -448 - 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 252?\nAnswer: -327.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 0*a - 200. Suppose 6*l = 2*l - a. Let z(c) = -3*c - 12. What is the units digit of z(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1930 divided by 5\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*j = -94*j - 230. Calculate the remainder when 2\/(-11) + 5913\/33 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 39*i**2 - 32*i - 66. Give m(-20).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 50702\nAnswer: -1\/25351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = -3*v. Suppose 50 = v*y + y. Suppose -5*d + 0*d + y = 0. Solve u = 2*w - 10, -d*w + 7*w + 3*u - 14 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/15 - 3\/(-5). Suppose 0*d = w*d. Is d at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 65 = 10*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -71. Let u = 40 - b. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 3, -984, 1 in ascending order.\nAnswer: -984, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1542?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-4)*748\/(-40205)*172\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -89769070 to the nearest 1000000.\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**4 - 2*r**3 - 11*r**2 - 972*r - 815951.\nAnswer: -12*r**3 - 6*r**2 - 22*r - 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94.5 + 107. Let f = 18.7 - x. Let q = 79.3 + f. What is q rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 224 = 3*o + 4*f, f = -4*o - 291. Let u = o - -78. Suppose 2*c = 31 - u. What is the remainder when 51 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 409167 and 266293323?\nAnswer: 2929226553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.07 + -1.57. What is the nearest to -0.1 in x, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/567 and 73\/12411.\nAnswer: 111699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2\/79 (c) -7\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 193297.2 rounded to the nearest 100?\nAnswer: 193300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 79432.5?\nAnswer: -79436.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3\/10)*(-3)\/(-4)*10\/35.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13213089 to the nearest integer?\nAnswer: 3635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0\/7)\/(-9) - 22\/(-27) and 0 + (-1 - 145\/6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d = -4*v + 101, 5*v = -5*d + 115. Let f = v + -75. Let i = f + 55. Calculate the least common multiple of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a millisecond?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -4.53?\nAnswer: 4.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0936 and 0.1.\nAnswer: 0.00936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(55))\/sqrt(11)*4)**2 + ((-1*sqrt(25))\/sqrt(5))**2*-3 + -2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 40627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-25) + (-34)\/70)\/(636\/371).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524, -848, -1224, -1664, -2180, -2784, -3488, -4304?\nAnswer: -5244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y - 15*y - 7. Calculate the lowest common multiple of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 103, 3\/55.\nAnswer: -5, 3\/55, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*g - 2 - 5, 3*m - 3*g = 15. Suppose h - m = a, 25 - 3 = 4*a + 2*h. Is a + (355 - 3)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -846464 = -123*c + 1384879. What is the remainder when c is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 1470 = -5*b - 1480, -4*d = -10*d + b + 36 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (190 + 1654*d - 213 - 1766*d + (2*d - d + d)*(1 + 2 - 1))*(-4*d - d + 3*d) as h*d + q + z*d**2 and give h.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywwywywwy. Give prob of picking 4 y.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1097*u - 31813. Let n be p(29). Factor -12\/7*r**3 + n + 16\/7*r**2 - 6\/7*r + 0*r**4 + 2\/7*r**5.\nAnswer: 2*r*(r - 1)**3*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5 - 851*g**4\/5 + 4*g**3 + 3404*g**2\/5 = 0.\nAnswer: -851\/5, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/5904 and -139\/29520.\nAnswer: 29520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2767872 and -49\/41446?\nAnswer: 63661056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112226 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 49*k + 1. Let q be (1\/2)\/((-1)\/(-2)). Let n be c(q). Round n to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwtootwoeowtngo. Give prob of sequence gg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:48 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3384*d**3*v**2 + 44447*d**3*v + 15*d**2*v**2 - 2*d*v**2 - 2*d*v - 3*v**2 wrt v.\nAnswer: 6768*d**3 + 30*d**2 - 4*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - (3 - 2)) + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 153009.7742 to zero dps.\nAnswer: 153010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-63))\/(1\/(3*2)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -294*j + 326. Calculate the remainder when i(0) is divided by 102.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 92331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*h + 4*y + 22 = 0, 0 = 2*h - 2*y - 32. Suppose 3*w + h = 10*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 538 = 138. Suppose 5*m + f = m. Let v = -8 - m. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.83 - 196.43. Let y = -189 - d. Which is the closest to -8? (a) 0.5 (b) y (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.6 and 118247.\nAnswer: -1726406.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21\/13 + -415\/273. What is the common denominator of i and 38\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r, -g + 4*g - 2*r = 6. Let z be (-1)\/(-2)*-4 + 4. What is the first derivative of -2 + 7 - z*h - g wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(32)*6)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12994571 and -6?\nAnswer: -77967426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/((i*i**5)\/i)*i)\/i)\/i)\/i**(2\/13))\/(i**1\/i)**(-31) assuming i is positive.\nAnswer: i**(-54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -2\/1367063?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*n)*(5 - 4 + 1 + (21 - 11 - 1)*(0 - 3 + 4)).\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7986 and 41382.\nAnswer: 455202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 51, 85, 133, 195?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*f**4 - 91*f**4 + 86*f**4)*(0 - 2 + 4).\nAnswer: 76*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*l + 52. Suppose 12 = 25*h - l*h. Let a(n) = -3*n - 10. What are the prime factors of a(h)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 38*b + 24 = 28*b - 70*b, -98*b - 102 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 3*a**2 + a**2 + (-a - 2*a + a)*(3*a + 2*a - 4*a) + 20 - 20 - 5*a**2 + (0*a**2 + 4*a**2 - a**2)*(-3 - 1 + 2) - 2*a + 2*a**2 + 2*a.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-1 - -9) + 1). Let c be 0 + 32\/(-56) + (4 - 58\/21). What is the nearest to c in -1, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/100*-2)\/((-3)\/15)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 4*y**2 - 6*y - 3. Let j be x(-5). Determine h so that 5*h**2 + 7*h - j*h + 5*h + 5*h**5 - 15*h**3 - 5*h**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/10)\/((-28)\/(-140)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**4\/24 + 52*j**3\/3 - j**2. Let x be u(0). Let o be -1 + 3 + 0 + 11. Calculate the greatest common factor of x and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/3*2\/(-476). Let x = q + -104\/357. Put 0.1, x, 4 in increasing order.\nAnswer: x, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 77\/7 - -138. Calculate the greatest common factor of 21 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/5)\/(485\/(-50) + 10). Let w = -0.1 - 0.9. Which is the second smallest value? (a) f (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4 - 13\/4*h - h**2.\nAnswer: -(h + 3)*(4*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 243546690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*d**2 + 2*d**3 + 47*d**2 - 106*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7118.5 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c = 4*c + 51. Factor 7*p**4 + 48*p**3 - 26*p - 37*p + 272*p**2 - 144 - 132*p**2 - c*p**4 + 15*p.\nAnswer: 4*(p - 1)*(p + 1)*(p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 4. Let f = -0.4 + 0.8. Which is the nearest to w? (a) f (b) 3 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 49*p + 1815 = 143*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 + 73*p + 32346 - 16177 + 5*p**2 - 6*p + 0*p**3 - 16168 to a*p + x*p**3 + z*p**2 + w and give a.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) - (4 - 1770\/495)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-1\/44)\/(i\/i**(-3)*i**(-3))*(i**(1\/8)*i)\/i**(-2\/7)*i**4*i**(-1)*i*i assuming i is positive.\nAnswer: i**(303\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(252))*-4.\nAnswer: -24*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (-424)\/128)*(-12)\/(-10). Put -2, q, -12, -0.03, 2 in decreasing order.\nAnswer: 2, q, -0.03, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2536*k**2 - 69*k + 338. List the prime factors of b(4).\nAnswer: 2, 3, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 - (164\/(-5))\/(1\/25*5) is divided by 141.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -0.51518531?\nAnswer: 0.21518531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5 + 7. Let w(g) = 14*g**3 + 5*g**2 + 14*g + 8. Let c(n) = 0*n + 6*n**3 + 3 - n**3 + 5*n + 2*n**2. Calculate u*w(y) - 8*c(y).\nAnswer: 2*y**3 - y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -1\/12*h**4 + 0 + 5\/6*h**3 + h**2 - 2*h. Let t(l) = -l**3 + 5*l**2 + 2*l - 6. Let u be t(5). Calculate o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -2\/15 (b) -1 (c) -0.3 (d) 6\/11 (e) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -69. What is the remainder when 52 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120002002210 (base 3) to base 13\nAnswer: 22cc92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 5302.\nAnswer: 5304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1062 divide 178404318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 - -5 - (-37497)\/(-1293).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-8))\/b*b**(5\/6))**(-30)\/((b*b\/(b*b*b**3\/b*b)*b)\/b*b\/(b\/b**(-2))*b**1*b**(-7)) assuming b is positive.\nAnswer: b**(-284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -52*a - 564. Let q be o(-11). Solve 0 = -q*p + 49 - 97 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2955*u**3 - 2639*u**3 + 70*u**2 - 68*u**2 in the form c*u + d + i*u**2 + l*u**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -134411 (base 6) in base 4?\nAnswer: -3012013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Suppose 0 = -p + c - 3, t = c + 3. Let r = p - -6. Solve 2*l + 3*g = -2, r*l + g = 3*l - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*h + 2*f - 14, -3*h + 3*f = 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 3*f + 11 = -5*x, -2*f + 6 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2430695.\nAnswer: 5, 486139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000239 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2, 3*s + 0*s - g = 5. Is s <= -2\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -24. Suppose -32 - v = -y - 3*q, -2*y = q - 109. Calculate the remainder when y is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -13 - (26\/8 - 16). Let t = 13.17 + -12.3. Let i = -0.13 - t. What is the closest to i in -2, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-30)\/(-4))*((-264)\/(-16))\/(-11).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 + -5 - 3 - -228 is divided by 72?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 98*d - 35. What is the remainder when n(1) is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**5\/60 - 3*w**4\/8 - 7*w**3\/2 - 11*w**2. Is k(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 6:02 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**4\/6 - 6*v. Let z(r) = -9*r**2. Determine z(k(h)).\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 10, 4*u + 10*f - 2 = 8*f. Which is the third smallest value? (a) -0.6 (b) u (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022 + 12120201?\nAnswer: 12102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**3\/3 - 5*k**2\/2 + 3*k + 1. Let h = -571 + 575. Suppose 0 = -q + 3*z + 25 - 15, 0 = q + h*z + 4. Give c(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w - 48*w = -34. Suppose -w*p - 6451 = 10729. What is p rounded to the nearest one hundred?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -1232302130?\nAnswer: -1232302113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1430, -9272, -30564, -72032, -140402?\n\"Answer: -1121*t**3 + t**2 + 2*t - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*i = 59*i + 918. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*10\/(-750)*-10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -489*x**2\/2 - 75797*x\/2 - 155.\nAnswer: -(x + 155)*(489*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -545 + 767. Let w = -223.07 + p. What is w rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 12*r - 17*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(0\/3 - -1). Let k(y) = -7*y**4 - 3*y - 4. Let d(f) = -8*f**4 - 3*f - 5. Let n(b) = p*k(b) - 4*d(b). What is the second derivative of n(q) wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -73, -265, -587, -1033, -1597, -2273, -3055?\n\"Answer: z**3 - 71*z**2 + 14*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*k + 12, 5*k - 3*v + 0 = 21. Let r(u) = k*u - 5*u + 2*u - 2*u. Let h be r(-2). Solve -6 = h*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = w - 0*w - 16, -5*w = -2*j + 1. Suppose -12 = 2*q - 5*o, j*q + 2*o - 20 = -0*o. Solve -q*p - 5 = 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207.000684 - 207. Round m to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-2) + 2 - 50\/(-20). Suppose 0 = -4*l + 4*q + 1 + 31, 4*q = 0. Calculate the greatest common divisor of l and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24558*q**2 + 4*q**3 + 2*q + 24558*q**2 - 2*q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:27 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -13 - 5. Let i = 6 + -2. Solve 0 = 3*h + i*v + 17, 3 = -f*h + 2*v - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 78\/5 (b) 95 (c) -2\/13 (d) 1\/2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93\/15)\/(10\/((-450)\/9))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 778 and 32?\nAnswer: 12448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-30))\/(-3 + 110\/33)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 3*i**3 - 2*i**3 + 29*i**3 + 11 - 11 + (2*i - 2*i - i)*(-2*i**2 + 2 - 2).\nAnswer: 30*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6 - 4 = 0. Suppose x*b - 7*b = 25. Put 0, -1, b in ascending order.\nAnswer: b, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.07, 7, -0.1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.5 + -2.5. Let p = -3223\/4308 - 2\/1077. Let x = 6\/5 - 19\/20. Put p, b, x in decreasing order.\nAnswer: b, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273729 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 303983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-8))\/(37878462\/36). Let y = -105247761748\/6313077 + h. Let m = 16666 + y. What is the common denominator of 91\/4 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 8*z**2 - 6*z + 24. What is f(-7)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 7*d - 2*d + 5, 3*d + 3 = 0. Solve 3*y + 0*x + 2*x + 18 = n, y + 10 = -2*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/167829 and 28\/55943.\nAnswer: 167829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((2*sqrt(588))\/sqrt(12))\/sqrt(7) + sqrt(7) + sqrt(63)*3 + 2 + 5))**2.\nAnswer: 4200*sqrt(7) + 26425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 91811.\nAnswer: 91811.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1575)\/13650 - 1\/(-6).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/1 - ((-6320)\/336 - -5). Which is bigger: s or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {a: 2, z: 10, e: 2}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286684 is divided by 17908.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llvblvlltvv. What is prob of sequence tvl?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a119 - 3?\nAnswer: 3a116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1870 + 4*l**3 + 5*l**2 + 959 - 2829.\nAnswer: 4*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 16 + 20)*(-2 - 4 + 4)*(0 + 2 - 3)*(i**3 + 4 - 4).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 13821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**9\/2016 - 3*i**8\/1120 - i**7\/280 + 11*i**3\/3 + 25*i - 1. Let z(t) be the second derivative of d(t). Factor z(f).\nAnswer: -3*f**3*(f + 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/5)\/a)\/(a*a**(-2)))\/((a**(-2\/11)*a)\/a**(-2\/11)) assuming a is positive.\nAnswer: a**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1747, 2448, 3587, 5158, 7155?\nAnswer: 9572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 254096 and 112640?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 20173291000 to the nearest one million.\nAnswer: 20173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**6\/600 + r**5\/50 + 11*r**4\/120 + r**3\/5 - r**2 + 692. Factor s(u).\nAnswer: (u + 1)*(u + 2)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 703 - 704.284. Let m = -0.284 - z. Let r = -0.4 - -0.3. Which is the third smallest value? (a) -3\/5 (b) m (c) r (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-1)\/(-10))\/(489\/18256*-140)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 171566\/23 - 7458. What is the common denominator of -38\/87 and x?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 - 7*u + 10044 - 5*u**2 + 10048 - 20100. What is c(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1047*m - 1034*m - 1042*m + 3130*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**12\/(j*j**(-2)*j))\/(j**(-1\/15))**(-24) assuming j is positive.\nAnswer: j**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 3*c - 48 - 23, 3*q - 5*c + 63 = 0. Let s = -9 - q. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 + 274*d - 19600. Let q(p) = -12*p**2 - 546*p + 39200. Let y(o) = -7*l(o) - 3*q(o). Factor y(a).\nAnswer: (a - 140)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 3*b**2 + 1\/20*b**6 + 0 + 0*b**4 - 1\/12*b**5 + 0*b + 0*b**3. Find the third derivative of d(c) wrt c.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 445 (base 12) to base 3\nAnswer: 212022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44582, 89177, 133772?\n\"Answer: 44595*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (17 + -3)) + -9 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5020, 10051, 15082, 20113?\nAnswer: 25144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -42, -125, -282, -537?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 2*sqrt(1900) - sqrt(1900)) + -5*sqrt(931))**2 - (sqrt(76) + (2*sqrt(76))**2 + 3)*-4.\nAnswer: 8*sqrt(19) + 5503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/8 (b) 0.2 (c) 121 (d) -24106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-6 - -5 - (-1 + -3 - 6))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, -45, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/15 + 1044*k**2\/5 + 12456*k\/5 + 37296\/5.\nAnswer: 2*(k + 6)**2*(k + 1554)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*z + 4*g, 3*g + 8 = 4*z + 4. Let v be -1 + 3*(z\/1 + 0). Suppose v*x - 4*h = 48, 3*x - 4*h + 3*h = 47. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 11*c - 15. Let u be a(11). Let g = -2 - u. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 502754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-13)\/(-4))\/((-74)\/(-444)))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8045859?\nAnswer: 3, 43, 97, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 23\/8169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836160252.\nAnswer: 2, 3, 69680021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + 0.56. Let w = -4.5 + p. Let r = w + 3. What is the nearest to r in -1\/5, 0.1, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + (-20)\/16)*(-3 + 15). Suppose -7*b + i = 2*b. Solve 3*z - b = -20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1588 - -1667. Which is the closest to 1\/4? (a) f (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**3\/3 + 5*z**2\/2 - 3*z + 2. Let p be 9*(1 + (-15)\/9). What is n(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 174 = -d + 5*i, -2*i + 968 = -4*d. Are d and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -42, 0.3, -0.8 in ascending order.\nAnswer: -42, -0.8, -3\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 4:36 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 46, 63, 68, 55, 18, -49, -152?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 36644, -1\/2, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.1, 12\/7, 376?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-231)\/(-616)*24\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 296 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 760150283*j**5 - 356727991*j.\nAnswer: 15203005660*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*-1)\/(8\/(-16)). Let n(u) = -u + y*u - 2*u. Let t(z) = 2*z**2 + 2*z. Give 2*n(x) - t(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -989*g**2*h*i**2 - 587*g**2*i**2 - g**2*i + 6394*h*i**2 + 26959*i**2 wrt h?\nAnswer: -989*g**2*i**2 + 6394*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2 - 72. Suppose -5*i = -f - 116. What is the highest common divisor of 39 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:06 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 5*r**3\/3 - 5*r**2\/2 + 14. Let t(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 0*t + 12*t**2 - 1\/1470*t**7 + 2\/105*t**5 - 1\/6*t**3 - 1\/140*t**6 + 0 + 1\/28*t**4. Factor u(h).\nAnswer: -(h - 1)**2*(h + 1)*(h + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -437.57 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-6)*(-3 + -1). Let s be -18*k\/12*5. Let w = s + 42. Calculate the greatest common factor of 108 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(sqrt(19) + 0) + -1) - (-2*(sqrt(1539) + 2) + -1)**2.\nAnswer: -6182 - 183*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 12:40 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 751721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*i*x**5 + 5*i*x**2 + 13*i*x - 7*i - 2*x**4 wrt x.\nAnswer: 240*i*x**3 + 10*i - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24364220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/56)\/((-36)\/16 - -2).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcg when three letters picked without replacement from {k: 2, d: 1, c: 2, a: 1, g: 1, j: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.31 times -0.08?\nAnswer: -2.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 11*s + a - 45251 = 0, 9*s - a = 81435. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7654 and 14749?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.5 (c) 0.016 (d) -3\/4 (e) 0.1 (f) 0.5 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53532 (base 6) to base 3.\nAnswer: -101001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95.65 and -12.384.\nAnswer: -1184.5296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/19227 and 145\/14076.\nAnswer: 5306652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i = -6*i. Suppose i = 2*v - 0*v + 2*z - 700, z = -4*v + 1406. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118314, -236628, -354942, -473256, -591570, -709884?\nAnswer: -828198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5))**(23\/2)\/(k**(-2\/9)\/(k\/k**5)) assuming k is positive.\nAnswer: k**(37\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -27*m - 1. Let z(q) = 5*q. Let t(a) = -2*v(a) - 11*z(a). Let p = -1389 - -1388. Let f(c) = -c + c - c**3. Calculate p*f(u) + t(u).\nAnswer: u**3 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-535)\/2140 - 4\/(-18)\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/987 and 2\/9.\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -114*p - 2374 + 3514. Suppose -4*j - 15 + 115 = 0. Solve 5*r = p - j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/3)*w)**(-13\/2) assuming w is positive.\nAnswer: w**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 4, -0.2, 2\/3 in decreasing order.\nAnswer: 5, 4, 2\/3, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/43, -0.505, 2\/17 in descending order.\nAnswer: 2\/17, 2\/43, -0.505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + x - 5. Let u be d(2). Suppose 2*l + 8915233 = -u*s, l + 0*l + 7132187 = -4*s. Let v = 4643047 + s. Round v to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - 32. Let o(z) = z**2 - 11. What is 4*a(c) - 11*o(c)?\nAnswer: c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + u + 6. Let o be r(-6). What is the greatest common factor of 27 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.9 (b) -5 (c) 2\/11 (d) 0.3 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t. Let r(n) = -3*n. Let d(u) = -4*r(u) + 3*v(u). Let o(x) = -152*x + 152*x - 4*x**2. Determine d(o(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l + 7. Suppose 3*z = 32 + 28. Let b = 14 - z. Is w(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -51622?\nAnswer: 51616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = z - 9, -5*r - 20 = 2*z. What is the biggest value in -5, r, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -19443*l + 2*l**2 + 1 + 19440*l - 3*l**2. Calculate b(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h*h**(-1\/6)\/h)\/(h\/h**(-2)*h))\/(h**(-4\/7)*(h*h**(1\/7)*h)\/h*h))**25)**40 assuming h is positive.\nAnswer: h**(-99500\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10675563 and 757888?\nAnswer: 5921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 122, 386, 890, 1712, 2930, 4622?\nAnswer: 6866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 u when three letters picked without replacement from {u: 12, p: 3}.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -412 + 424. Suppose 26*v - 30*v = -p. Solve -2 = 2*z + 4*j - 0, 5*z + 31 = v*j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhh. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20688191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/7 of a week?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.88 + -4.58. Which is bigger: 41 or g?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 14) to base 16.\nAnswer: d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-5) + 2966\/(-60). Let i = w + 1141\/30. What is the common denominator of -13\/29 and i?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491262 > 1491261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.32167362 + -0.48296.\nAnswer: -0.80463362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21006799, 42013593, 63020387, 84027181?\n\"Answer: 21006794*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52589 is divided by 266?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 11 - 31 = -2*g, -5*g + 15 = 0. Calculate the remainder when 26 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*f + 83. Suppose 27 = 2*x - o, x - 4*o - f = -7*o. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79\/24 - -21\/8. Sort 1\/4, j, -2 in ascending order.\nAnswer: -2, j, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*o + 31*o + 32*o + 64 to h + r*o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (sqrt(363) + sqrt(363) + 1 + 4)) + 1*sqrt(27) + sqrt(30)\/(sqrt(10) - sqrt(40)).\nAnswer: -9*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, q: 2}. Give prob of picking 3 p and 1 q.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -165*b + 167*b, -2*b - 15 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 3*i + 40 - 40.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 14314515?\nAnswer: 28629030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 3*x - 4*x)*(12*x**3 - 3*x**3 - 6*x**3).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/(-810))\/((-54)\/729*(-6)\/(-230))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.44? (a) -5.3 (b) 5\/6 (c) 34 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 3. Sort y, 3\/8, -0.2 in descending order.\nAnswer: y, 3\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1149338390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {b: 7, c: 1, j: 1, f: 5, u: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 6*x = -12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1851244 and 3509?\nAnswer: 224000524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from gommokmoomg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, i: 1, x: 1, u: 1}. What is prob of picking 2 u, 1 x, and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1550552?\nAnswer: -1550551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 7 - 2*d + 2*d. Let l be t(-11). Which is the closest to 0? (a) l (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -459, -920, -1381, -1842, -2303?\nAnswer: -2764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -38. Let m(i) = -8*i + 11. Let z be m(w). Is z\/(4*4\/16) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*h - 38*h + 30*h in the form p + o*h and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, q: 3, x: 5, v: 1, n: 1}. Give prob of sequence nq.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19951798 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 219375*v - 438496*v - 661*v**4 - v**3 + 221157*v + 2 wrt v?\nAnswer: -7932*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 469\/7 - 2*-1. Suppose -4*q + 265 = v - o, 0 = -2*q + 5*v + 178. Suppose -4*c = -80 - q. Calculate the remainder when c is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let v(u) = -4*u**2 + 12. Let p(m) = 8*b(m) + v(m). Find x such that p(x) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + 30. Let c(a) = 2*a + 6. Let h be c(6). Suppose -58 = -g - h. What is the greatest common divisor of u and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5\/6 - 35*x**4 - 1025*x**3\/6 + 2425*x**2\/3 - 130*x - 3220\/3 = 0. Calculate x.\nAnswer: -7, -1, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 4*u**2 + 4*u + 2. Let b be s(4). Let h(k) = -k**2 + 21*k - 6. Does 12 divide h(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.66 from -38776818.\nAnswer: -38776827.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28688418 to the power of 1\/2, to the nearest integer?\nAnswer: 5356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**4 - m**3*z + 38*m*z**3 - 59*z**3 + 3 with respect to m.\nAnswer: 12*m**3 - 3*m**2*z + 38*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3 or 0.04698?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v - 26. Let n be (-448)\/24 + (-6)\/(-9). Let t = v - n. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/7559 or 1?\nAnswer: 9\/7559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 1. Let c(j) = -118*j - 41. Let k(y) = 59*y + 21. Let u(i) = -6*c(i) - 11*k(i). Let s(d) = u(d) + 2*z(d). Differentiate s(a) wrt a.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3379 - 3377. Solve 3*f + 6 = -k*h, 3*f + 92 - 65 = 5*h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*((-60)\/9)\/(-10)*3. Solve 8 = m*v + u, -v - 2*u = 3*u - 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297801 divided by -21?\nAnswer: -14181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0)*(-7 + 5). Let v(q) = 4*q**2 - q - 1. Let n be v(f). Calculate the greatest common divisor of n and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 458 = -2*w, -2*r + 0*w - w + 184 = 0. Suppose -6*z = -z - r. Calculate the remainder when 33 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3689 (base 12) to base 10\nAnswer: -6153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 693175015 a multiple of 7725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than -54\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111000110111 + 100100100101110?\nAnswer: 1011011101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*d**2 + 65\/2*d + 32 = 0 for d.\nAnswer: -64, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*o - 134 = 0, 3*r - 5*o = 102 + 380. What is the greatest common factor of r and 594?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + s = -s, 4*f = -3*s + 17. Let j(b) = -b**2 + 7*b + 4. Let w be j(7). Let x be (-2 - (-6)\/w)*-6. Solve -5*n = -f - x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 r when three letters picked without replacement from eeerdreehrfdd?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*12)\/(639\/328020*220)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 + 2 = 0. Is -0.1 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-5)*105\/(-63)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 26*p. Let h be c(0). Let d = 0.42 - -5.58. What is the fourth smallest value in d, -0.4, h, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.464759422 + -0.46482. Round o to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.07 and -261.\nAnswer: -261.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 1. Let s(t) = -2*t - 2. Suppose 3*u - 2 = -2*x, 2*u + 0*u = 2*x + 18. Give x*l(g) + 2*s(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 - 3*p**2 + 2*p**2)*(-1366*p + 1014*p + 3004*p)*(-2 - 1 + 1).\nAnswer: 26520*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6696601.\nAnswer: 6696601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4*(-4)\/4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -710 - -715. Let i(d) = -3120*d - p - 7 + 3127*d. Let g(h) = -2*h**2. Determine g(i(f)).\nAnswer: -98*f**2 + 336*f - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n + 2. Let c be p(-3). Let r = -4 - c. Suppose 4*x - r = 9. Solve -8*j = -x*j - 5*u - 20, -5*j + u = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61390 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u - u**2 + 3*u)*(4*u - 1 + 1)*(1 + 0 + 0 + (-3 + 1 + 1)*(0 + 3 - 5) - 2 + 0 - 5 + 1 - 5 + 2) as w*u + l*u**2 + f + i*u**3 and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111462 + 14935839\/134. What is the common denominator of 19\/402 and v?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -678 + 681. What is the greatest common factor of t and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = m, 0 = 23*m - 27*m - g + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*n + 202 = -88, -n + 215 = 3*i. Suppose -i - 173 = -3*t. Suppose 2*y = -5*o + 53, 0 = 4*y + 5*o - 0*o - t. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o - 68*o + 22*o + 13*o + 21*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7110.59 rounded to the nearest 100?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -fe3e?\nAnswer: -fe3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 7*c**2 + c + 5. Let n be y(-7). Let k(v) = -83*v**3 - 5*v**2 - 4*v - 5. Is k(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 122 + 1684*m - 1686*m.\nAnswer: -2*m + 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - b + 532, v + v + 536 = 2*b. Is v less than -264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/8 and -59\/351657180?\nAnswer: 703314360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5056416 + 8885921. Suppose r + 6099998 = 2*c, -16029507 = 2*r + 2*c - v. What is r rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2061, 8229, 18513, 32919, 51453?\n\"Answer: w**3 + 2052*w**2 + 5*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3664998\nAnswer: -1\/1221666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**4 + 22*a**3 + 22*a**2 - 15*a - 18. Let k(c) = c**4 + 7*c**3 + 7*c**2 - 5*c - 6. Let q(s) = 7*k(s) - 2*y(s). Suppose q(r) = 0. Calculate r.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -2) + 18 + -4 + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 4*b - 177. Give s(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145*1.17.\nAnswer: -169.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -3) + -2 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = -25*j - 4. Let q = -5 + j. Let k(m) be the third derivative of -m**6\/120 - m**5\/12 + m**4\/6 - m**3 + 3*m**2. Give k(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22421 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 201 - 125. Let b = f - 53. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002795 rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 4)*(3 + 2 - 3) + 0 - 1 - 1 + 0 + 0 - 4 + (-4 - 1 + 4)*(2 + 2 - 2) - 2 + 2 - 2)*(3*x - 5*x - x).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 + -85. Solve -4*f - 5*h - 3 = 0, 0*h - o = -4*f + 4*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*f - 4*g - 2476, 16 = 4*g. Suppose -2384 = -5*i + f. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25\/2, 0.3, -0.91741, -2\/3.\nAnswer: -25\/2, -0.91741, -2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8176504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-572)\/(-165) + (0 - 5). Let z = 7\/3 + j. Suppose -2\/5*m**2 - z*m - 2\/5 = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-5\/3)*k\/k**3*k)\/(k\/(k*k**(1\/2))*k*k*k)**(-46) assuming k is positive.\nAnswer: k**(340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**2 - 2. Let l(d) = 41*d**2 + 17. Let b(v) = 6*l(v) + 51*t(v). Let k(q) = -7*q. Calculate b(k(a)).\nAnswer: -441*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8378.\nAnswer: 2, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7 + -3. Let t = 0.4 + n. Let u = 0 - t. Which is bigger: 3\/8 or u?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -11817260.\nAnswer: -11817260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Let o = -3.17 + 0.17. Which is the closest to 0? (a) v (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4)*(3*w**5 - 6*w**5 + 2*w**5) + (2*w**5 - w**5 - 2*w**5)*(-5 + 12 + 5).\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8030*u**2. Let v(k) = 775*k**2. Determine v(q(r)).\nAnswer: 49972697500*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**3 - i**2 + 3*i - 2. Let d be r(-2). Let f = 8 - d. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 0*s**3 + 3*s + 0 + 1\/12*s**4 + 0*s**2. Let f(g) = -4*g**2. Calculate q(f(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 418827 - 2087221\/5. Let l = -1378 + z. Solve -2\/5 + l*x**2 + 22\/5*x = 0.\nAnswer: -1, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*i + 8. Let t(q) = -12400000*q. Let u be t(i). Round u to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u = 0. Suppose n + i - 2 = 0, u*n = -4*n - 2*i. Which is bigger: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 462 and 14882?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4 (b) -554 (c) 1\/6 (d) -6\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2. Let s = 241 + -244. Let b(v) = 4*v + 16. Let o(h) = -5*h - 17. Let m(r) = s*b(r) - 2*o(r). Determine m(q(j)).\nAnswer: 4*j**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -253025 + 100?\nAnswer: -252625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: -3635562 (base 10) to base 4\nAnswer: -31313211222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 10. Let l be p(-10). Suppose -5*c + c + 12 = l. Solve 8*f = c*f + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37557684 and 352593?\nAnswer: 1014057468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*s - 6 + 28 + 5)*(0 + 0 + 2*s**2 + 2*s**2 + s - s + (2 - 2 + 2*s)*(s + 0*s + 0*s)) in the form j + d*s**3 + c*s + q*s**2 and give d.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from oriirrioir?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -25*m**7\/6 - 7*m**3\/6 + m**2 - 3*m - 3. Find the second derivative of c(h) wrt h.\nAnswer: -3500*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/113 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -2)\/(5\/(-15)*-6). Let q(w) be the first derivative of 0*w**4 - 3\/5*w**5 + w**2 + y*w**3 - 2 + 0*w. Find the second derivative of q(b) wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14846, 0.14, -0.5 in increasing order.\nAnswer: -14846, -0.5, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 + -616.84657811\nAnswer: -614.04657811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 34.9, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23 + 5)*3\/(-9). Find m such that -9 - m**2 + 1 - 2 + 1 - h*m = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -1\/4 (b) -5 (c) 4 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(6)\/(sqrt(30)\/sqrt(10))) + (sqrt(180)\/sqrt(100))\/sqrt(9))**2.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -154*f**5 - 11664*f**4 + 21768*f**3 + 102592*f**2 + 27264*f = 0.\nAnswer: -852\/11, -2, -2\/7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20608 and 805.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-33 + (42 - 21)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 159.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 12. What is the second derivative of 5*y**4 - 2*y + v*y - 2*y wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8 - 36*q + 17 - 13 + 4. Let m(i) = -i. Calculate 4*m(l) - n(l).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 - (-10 - -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 35 = 31, -40 = 4*r - 5*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.794 and -0.1.\nAnswer: 2.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*m - 4*m - 21094, -4*w - 16 = 0. Let q = -2861 + m. Round q to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 4*r - 3. Suppose 5*n - 25 = -t, 31 = 5*t - n + 10. Let v be g(t). Let j(h) = h**2 + 8*h - 2. Calculate j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 99 + 105 + 5*x - 313 + 102. What is q(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33703344 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01536516 minus 0.459?\nAnswer: -0.44363484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7 = -4*d + 2*n, 4*n = -20. Solve -d*j + 2*j - 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + 4. Suppose 5*o + 30 = 10. Let i = 0 + o. Let h(v) = 7*v**2 + 9 + 3*v - 3*v. What is i*h(d) + 9*y(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*((0 - -2) + -1). Let f = 3 - d. Let p(z) = f - 5*z + z + 2*z. What is p(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 98964223 and -2289?\nAnswer: 98966512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a decade?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18372*q**3 + 3*q + 61732 wrt q?\nAnswer: -110232*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00095807 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -167297*k**2*u**2 + k**2 + 2363924*u**2 with respect to k.\nAnswer: -334594*k*u**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**3\/6 + 9*d**2 - d. Let t be r(-15). Suppose t*z = 3*g - 0*g - 240, 0 = 3*g + 4*z - 226. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - 0.3. Let g be ((-32)\/140)\/(-3 + 26\/10). Which is the second biggest value? (a) -3 (b) 4 (c) h (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.8 + 0.8. Let c = 2\/59 + -140\/649. Let n = 4.30222 + -0.30222. Sort c, n, o.\nAnswer: o, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 269160?\nAnswer: 538320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14543 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19503 smaller than 19504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 5*w - 3, -4*i + 9 = -w - 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102010760*s**2 + 3*s - 3*s - 102010723*s**2.\nAnswer: 37*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145891 + 333891. Round b to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3104, -6203, -9300, -12395, -15488, -18579, -21668?\n\"Answer: k**2 - 3102*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3 = 3*v - j, j = 4. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 + 5*f + 794934*f**3 - f**2 + 2 - 795103*f**3 - 16*f to w*f**2 + x + t*f + p*f**4 + d*f**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -28. Let o = 6 + f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56631367*r**3*w**2 + 4*r*w**2 + 2*r*w + 33*r - 2*w**2 - w + 623 wrt r.\nAnswer: 339788202*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 94*f - 3. Let i be o(-5). Let t = 738 + i. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2818, 11334, 25534, 45412, 70962, 102178?\n\"Answer: -f**3 + 2848*f**2 - 21*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (45\/(-5) + 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.8. Suppose -r - 2*k - k + 12 = 0, 0 = 5*k - 20. Which is the biggest value? (a) 2 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 5*f**2 + 5*f + 5. Let a be y(-4). Let n = a + -1. Let t(m) = m**3 + m + 2. Let k be t(n). Sort 0, -4, k.\nAnswer: -4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 3, -11, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, g: 4, d: 2, q: 1}. What is prob of picking 1 k, 1 g, and 1 d?\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -62, -105, -170, -263?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15*x**2 - x + 13. Give i(3).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**4\/4 + 11*o**3\/3 - 5*o**2 + o + 19. Let z be c(10). Solve p - z = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074.022 decades in millennia?\nAnswer: 20.74022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0.2, 66, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 - -6. Suppose -m = 2*x - 7*x. Suppose -x = 2*p - 4*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/(-9) - (-2)\/(-6). Let v = 43.15 + -43.15. Sort v, -1\/3, l in increasing order.\nAnswer: -1\/3, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**3 - 5*q**2 - 12*q + 5. Let m(p) = 4*p**3 + 4*p**2 + 10*p - 4. Let g(v) = -5*a(v) - 6*m(v). Calculate g(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*7\/(-280))\/((-35)\/(-25))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 7*o - 4*o, 0 = 2*k - 2*o - 8. Suppose -4*l - k*b - 126 = 0, -l - 3*b = 4*l + 158. Are -38 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -2. Let q(r) be the third derivative of -r**4\/24 - r**3\/6 - 2*r**2 - 4. What is q(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 399615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 16. What is the lowest common multiple of 17 + 1\/(2\/2) and (4\/w + 0)\/(14\/(-105))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2742342 is divided by 503?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14709 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (35 + -13 + -29 + (17 - -1) - 16)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 - 1 - 10*k**2 + 6*k**2 - 2*k**2 + 3*k - 3*k + (-2*k + 0*k + k)*(k + 3*k - 2*k).\nAnswer: -8*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1535695 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521.0746 litres to millilitres.\nAnswer: 521074.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s - 1. Suppose -5*m = 7 - 32. What are the prime factors of r(m)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1122 - 675 + 5*j + 1791.\nAnswer: 5*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3664597\/30 + -122142. Let w = -154747\/14880 - 1\/2976. Let q = t + w. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7943*t**2 + 2*t. Let k = 6 - 8. Let z be d(k). Let h = -24224 + z. Round h to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28178\/10641 - -66\/3547. What is r in 551\/3*r**3 - 322\/3*r**2 + 100\/3*r**5 - d + 28*r - 135*r**4 = 0?\nAnswer: 1\/4, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*u**3 + 3*u**3 + 0*u**3)*((3 - 4 + 2)*(-1 + 9 + 4) + (1 + 0 - 2)*(-5 - 1 + 3))*(-1 - 1 + 3) in the form b*u + i*u**3 + o*u**2 + d and give i.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 619 (base 12) in base 8?\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 + 5*a + 6. Let v(o) = -7*o**2 + 9*o + 13. Let x(u) = 5*q(u) - 2*v(u). Let g be x(7). Solve g*w - 11 = 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67028869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**7\/240 + a**6\/48 + 3*a**5\/80 - 4*a**4\/3 + a. Let z(c) be the third derivative of q(c). Find x, given that z(x) = 0.\nAnswer: -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3203023143 (base 5) in base 7?\nAnswer: 110566651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(17\/4)*i**(-15))**(-1\/43) assuming i is positive.\nAnswer: i**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -305, -600, -895, -1190?\n\"Answer: -295*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*p = -352, -5*p + 3*p + 88 = t. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 5:52 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 433559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -364 - -384. Is h greater than or equal to 62\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 14*t - 11. Let p be h(-15). Let z(n) = n - 2. Let s be z(p). Suppose -2*u = -4*g + 4, -g + 11 = s*u - 0*u. Solve o = -g*o - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1434 and 78870?\nAnswer: 78870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118357 is divided by 118354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -1\/4 (b) 2\/7 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*o + 9, -4*o = -3*c - c + 20. Suppose c*g - 40 = -2*g - 5*x, g - 3*x = 27. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -277 != -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r**3\/19 - 16*r**2 + 1606*r\/19 + 484\/19 = 0. Calculate r.\nAnswer: -2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 14*d + 16. Let y be (1*-7)\/((-5)\/10). Calculate the smallest common multiple of ((-8)\/(-6))\/((-4)\/(-6)) and g(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -2 + 0*k**3 - 50\/3*k**4 + 84*k - 221\/20*k**5 + 0*k**2. Find the third derivative of u(b) wrt b.\nAnswer: -1326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*u - 747 - 755, -a + 2*u = -368. Which is smaller: a or 1121\/3?\nAnswer: 1121\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3300733*c - 95 + 3300731*c + 60.\nAnswer: -2*c - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 18}. Give prob of picking 1 e and 1 k.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319332, 638887, 958642, 1278591, 1598728?\nAnswer: 1919047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 104 times -173697\nAnswer: -18064488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 289717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364 divided by 82.\nAnswer: -182\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -17*b**3 - 6*b**2 - 4*b - 10. Let g be c(5). Let z = 38 - g. Suppose z - 638 = 5*t - 2*q, -q = -5*t + 1700. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 225 = -119. What is the second derivative of 20*n + 157*n**4 - 306*n**4 + f*n**4 wrt n?\nAnswer: 276*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -393017?\nAnswer: 3\/393017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(sqrt(156)\/sqrt(4)*-1)\/(sqrt(432)*-1))*-2.\nAnswer: sqrt(13)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33911 - -61840. List the prime factors of p.\nAnswer: 11, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70 - 184*f + 130 + 83 with respect to f.\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5430892544746028148\/798655 - 6800048262074. Let a = d - 3\/14521. What is the common denominator of a and -111\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443574973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p - 5. Let o(i) = -6*i - 8. Let b(l) = -5*o(l) + 8*t(l). Let u(c) = -7*c**2 - 8*c**2 + c**2 - 3*c**2 + 13*c**2. What is b(u(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - s + 1. Let o(t) = -2*t**2 - 13*t - 20. Let n(m) = f(m) + o(m). Let q be n(-8). Which is bigger: q or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**3 - 5244*w**2 + 180542*w - 175296 = 0?\nAnswer: -2656, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eepppeeeeeeeeee?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28720\/7 - 4062. Let r = -41 + v. What is the common denominator of r and 1\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720551?\nAnswer: 13, 43, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - b + 3. Let k be w(-2). Sort -3, k, -1 in ascending order.\nAnswer: -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, c: 2, w: 1, b: 1}. What is prob of sequence wsws?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/6063 and -71\/172.\nAnswer: 24252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 546 by -91.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 4 + 0 - 1. Let i be h(1). What is the second derivative of 8*n + 6*n**3 + 5*n - i*n wrt n?\nAnswer: 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*a + 63, 5*k + 4*a = a + 153. Suppose 7*y + k = 12*y. List the prime factors of 2\/(y\/(-105)*-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in 3, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 274085 and -0.3.\nAnswer: 274084.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 3463.5.\nAnswer: 3463.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 1. Let k be r(-4). Let f = k + -2. Suppose -3*h - 4*g + 26 = 0, -f = g - 2. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Suppose 0 = -4*n - 2*g - 26, 0*g = -4*g - 4. Let j be -9*(-2)\/(n\/(-1)). Solve h*o = 4*a + 4, -j*o - o = 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -17. Let x = 0.188 + 0.012. Which is the closest to x? (a) 1 (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 22*u**2 + 2)*(-2*u - 2*u + 6*u).\nAnswer: -44*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34462 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:19 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -188*h - 8. Let s(c) = 196*c + 7. Calculate 7*a(n) + 6*s(n).\nAnswer: -140*n - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/795927 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 5 - 37)*(9*l - 10*l - 4*l)*(2 - 5 + 5)*(-3 - 1 + 9) - 18 + 3*l + 18 in the form j + c*l and give c.\nAnswer: 2103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, s: 2}. Give prob of picking 1 c and 2 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5703 (base 8) to base 7\nAnswer: 11531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*n + n = -1, 4*r = 2*n + 6. Let q be (-5 + 7 - 8\/3)*-27. Let o = 18 - q. Solve o = r*k - k + v + 2, 3*k - v = -4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -463989, -927998, -1392019, -1856052?\nAnswer: -2320097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1 (c) -10\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 10:39 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -37. Suppose 10 + p = v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 + 6 = 0. Suppose -30376 = -4*y + x, -30376 = -p*y - x - 4*x. Suppose -3*v - 3*m + 4566 = 2*m, 0 = -5*v - 3*m + y. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3300 (b) 1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 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 x = -274 + 268. Let b be x*2*28\/(-21). Solve -1 = -5*q - b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/132)\/(3*2\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 - -98.3. Let o = -84 - -1. Let p = -85 - o. What is the third smallest value in -0.2, x, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/66883 (b) 2\/7 (c) -0.002 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -151285, -3, 1, -2, 3, 5 in increasing order.\nAnswer: -151285, -3, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 73, 75, 77, 79?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4242727.\nAnswer: 163, 26029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 15) + (1 - 1). Let h = 27\/2 + y. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -27*l**2 - 44*l - 29. Let o(r) = -14*r**2 - 23*r - 14. Let z(p) = 5*o(p) - 3*w(p). Let x(i) = 5*i**2 + 8*i + 8. Calculate -13*x(d) + 6*z(d).\nAnswer: d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20955 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + o - 2. Let x be b(2). Suppose 0 = s - x*h - 11, -9*s - 3*h = -5*s + 13. Let l be 4\/8 + s\/10. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 = 4*u - 11, 23 = 4*i + 3*u. Suppose i = 11*m - 75. Let p(r) = r**2 + 7*r - 5 - 2 - 9*r**2. Let l(d) = -7*d**2 + 6*d - 6. Give m*l(k) - 6*p(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22599*u - 15838 wrt u.\nAnswer: -22599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86658 is divided by 162?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1386 and 23\/15902244?\nAnswer: 1224472788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 538 = 3*b - 2*g, 3*b - 524 = 5*g. Suppose -b*m + 182*m - 2084 = 0. List the prime factors of m.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (700\/210)\/((-5)\/(-12)). Solve 2*h = h + k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1274797 is divided by 424910.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27223412 is divided by 63755.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.0034 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127*g**4*n*q - 297166*g**4*q**2 + g**2*n*q**2 + 8201*g**2 - 226*g*n*q wrt g?\nAnswer: 3048*g*n*q - 7131984*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111213 + 10?\nAnswer: -111203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149*g**5 - 226854*g**4 - 114250681*g wrt g.\nAnswer: 2980*g**3 - 2722248*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -0.02, 2, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5599329230 from 5.\nAnswer: 5599329235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -514134, -514126, -514118, -514110?\n\"Answer: 8*z - 514142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/17 (b) 0 (c) 2 (d) -2\/5 (e) -1\/2 (f) -2\/7 (g) -157\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1018*k - 60 = 1024*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let k be j(2). Suppose 3*z - k*z = -5. Let c(t) = -t**3 + 3*t**2 + 2*t - 1. Let u be c(3). Put z, u, -2 in decreasing order.\nAnswer: u, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/2126953 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 28 = 10*m, 135*m + 2*i = 134*m - 3 - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -2\/3*b**3 + 0*b**2 - 2*b + 0 - 1\/12*b**4. Give j(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 461415*d + 3691341. Calculate i(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n + 255203 = 34*n. Suppose 2*h + 583 - 10401 = -4*u, 4*h = -3*u + n. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(200) - (2*sqrt(200) - sqrt(200))) + 0 + sqrt(200) + 0 + 5)**2.\nAnswer: 80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*(sqrt(180) - 2*sqrt(180)) - (5 + sqrt(180)*2)**2) - (-6*(sqrt(180) + -2 + sqrt(180))*4*-6)**2.\nAnswer: -15013612 + 995196*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*p - 17673 = -17323 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 749639*m**6*n + m**3*n - 13*m**2*n + 11*m**2 + 1135*m + 1 wrt m?\nAnswer: 89956680*m**3*n + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11095 rounded to 3 dps?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2928*s - 46981*s + 123*s - 17480*s.\nAnswer: -67266*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y**2 - 26 + 12*y**2 - 6*y**2 + 69*y - 84*y. Calculate w(-18).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49059 is divided by 24435?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 - 3)\/((-6)\/(-102))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = -6*c. Solve c*p = 2*p - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 2*v - 1\/36*v**4 + 1\/3*v**2 + 0 + 1\/18*v**3. Factor i(d).\nAnswer: -(d - 2)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/7 + (-6)\/((-504)\/332)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -13, -38, -77?\n\"Answer: -7*f**2 + 10*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 10. Suppose -10 = -y + 5*f, -7 = -3*y + 3*f - 1. Let x be t(y). Differentiate -5*g + 5 + 16 - x*g - 6 with respect to g.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f*n**2 - 3175*f + 2*n**2 - 871*n - 1 with respect to n.\nAnswer: -6*f*n + 4*n - 871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 - (-3 + 5)) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h**2 + h**3 + 8 - 9*h + 5*h**2 - 2*h**2 + 0*h**2. Let n be a(8). Sort -1, 8, n in ascending order.\nAnswer: -1, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - y**3 + 6*y**3 + 4 + 14*y**2 - y**2 - 7*y**2 to i*y**2 + h*y**3 + u + o*y and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 - 75*m - 6. Calculate z(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 470 and 13482?\nAnswer: 3168270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + (0 + sqrt(1573))*1 + sqrt(91)\/(sqrt(343)*-2).\nAnswer: 307*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*h + 16295 = -1397*h - 33063 + 1778 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t**2 + 29*t. Calculate the remainder when 193 is divided by k(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -744258\/7 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.13, 4, 0, 230, -2 in descending order.\nAnswer: 230, 8, 4, 0, -0.13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - u + 711 = -f, -3*f - u = 2153. Let h = f - -1127. List the prime factors of h.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03915 times 70887\nAnswer: 2775.22605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4583.8 - -3890.82. Let y = b - -693. What is the second biggest value in 5, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14394 (base 12) to base 6.\nAnswer: 334304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14030 and -83?\nAnswer: -1164490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 4*q**2 - 2*q - 1. Suppose -12 + 0 = -4*k. What are the prime factors of p(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18, -2, -36, -84, -146, -222, -312?\n\"Answer: -7*b**2 + b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (3 + 4)) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 19*t - 173 - 202 - 4*t**2 + 368 + 3*t**2. What is l(15)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - z - z)*(z + z + z)*(-139 - 14*z + 139) in the form u*z**2 + n + b*z + w*z**3 and give w.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49709 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 2520.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from ervmemmkeemdmm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-18)*(x\/(x**(-5)\/x))**(36\/11) assuming x is positive.\nAnswer: x**(54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196 is divided by 298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2723, -3\/2, -4\/7, -0.4, -4?\nAnswer: -2723","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -6 - 7 - 11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 6*j - 110. Calculate the remainder when 30 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 8:58 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 21, 2\/5, -2\/5, 405 in descending order.\nAnswer: 405, 21, 2\/5, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65019738?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000 (base 2) in base 15?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 4. Let o(u) = 7*u - 9. Suppose 5*p = -2*z + 26, -4*p + 18 = z + 2*z. Let i(f) = p*o(f) - 13*a(f). What is i(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.834946*-4.\nAnswer: 19.339784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1 - 7 - 25*x + 24*x + 1. Let c(z) = -16*z**2 + 22*z - 6. Let i be c(1). Calculate w(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -439*-2.94\nAnswer: 1290.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 - 3*s. Let o be r(3). Let t = o + -12. Let d = 33 + t. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + 47. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-156) + 2\/(-13))\/((-12)\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4292 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 30. Let m be l(-13). Let r(s) = 3*s + 2. Let c be r(11). What is the third derivative of -c*h**m + 43*h**4 + 2*h**2 + 5*h**2 wrt h?\nAnswer: 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5059\/13 > -390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65547 is divided by 817?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.4, -0.2, 111237\/10 in descending order.\nAnswer: 111237\/10, 0.4, -0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 466 (base 11) to base 10\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10963.884 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o - 30*o + 6*u + 106 = 0, 0 = 2*o + 3*u + 44 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 99, 412, 937, 1674, 2623, 3784?\n\"Answer: 106*u**2 - 5*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 904 and 584?\nAnswer: 65992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 753 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -593, -581, -555, -509, -437, -333, -191?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18720\/132 - 2\/(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g + 1. Let v(k) = -2*k + 15. Let s(f) = 13*f - 90. Let h(z) = s(z) + 6*v(z). What is -7*h(m) + 2*x(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4598.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 3*i**5\/10 + 7*i**4\/8 + 2*i**2. Find the second derivative of v(q) wrt q.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 79623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -6, 13 in decreasing order.\nAnswer: 13, 3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((56\/(-32))\/7)\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 16) to base 10\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -47909 (b) 9 (c) 0.2 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 2*(2*sqrt(700) + sqrt(700)) + sqrt(700) - (sqrt(700) - (5 + sqrt(700) + -1 + sqrt(700))))**2.\nAnswer: 720*sqrt(7) + 56716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f - 13. Let w = 523 - 430. Suppose -23*g = w - 1. Determine b(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 4:11 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -4*f**2 + 59*f + 21. Calculate the remainder when 7 is divided by x(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 1, n: 2, l: 1}. What is prob of picking 1 o and 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 + 0*z**3 - 8*z**2 + z**2. Let g(l) be the first derivative of l**4\/4 - l**3\/3 + 1511. Calculate 6*g(j) - h(j).\nAnswer: 3*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 29) + 0 - (21888 + -21984).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 6*b - 8. Let s be p(-4). Solve s = 4*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237, -473, -709, -945?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -19. Let s be (-24)\/c*81\/2. Suppose 2*d + d = s. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v\/(v*v**(3\/8)*v)))\/v)**(26\/7) assuming v is positive.\nAnswer: v**(143\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, h: 11}. What is prob of picking 3 v and 1 h?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 7*b + 7. Let a be y(6). Let m be -4 + (a\/(-4) - -4). Is -1 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 - l**3 + 4*l**3 + l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/21 (b) 1\/8 (c) -297 (d) -5 (e) 4\/5 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -13\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (22 + 60 + -62).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 47745048 divided by 4\nAnswer: 11936262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 17*n**2 + 19*n - 16. Let q be j(18). Let i(a) = 2 + a**3 - 638*a + 645*a - 7*a**q + 0*a**3. Calculate i(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-5*10\/((-50)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -113 and 6948785.\nAnswer: -785212705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 11*f + 15. Let b(o) = -5*o - 8. Let u(w) = 5*b(w) + 3*s(w). What is the tens digit of u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -27, 1\/17, 2, 0.2, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -629.804, 0.1, 2, -2 in decreasing order.\nAnswer: 2, 0.1, -2, -629.804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.7 or 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501828 is divided by 2698?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 68369692 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 4*g - 4 = 0, 4*q + g + 1 = 0. Which is the second biggest value? (a) -5\/3 (b) -1\/51 (c) q (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 3*u + 10. Let x = 380 - 374. Determine p(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149179?\nAnswer: 241, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/77 - (-34)\/14. Differentiate 90*f**2 - 7 + 6*f**3 - 90*f**c with respect to f.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -0.08, -0.58, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-87360)\/(-26) - 2\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*k**4 - k**4 - k**3 + 30*k**2 + 4*k**3 + 101*k**2 wrt k?\nAnswer: 192*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00754836237 to six decimal places.\nAnswer: -0.007548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 175725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1544552, 1544551, 1544550, 1544549, 1544548, 1544547?\n\"Answer: -t + 1544553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 13*m. Let h(u) be the first derivative of 20*u**3\/3 - 619. Determine w(h(z)).\nAnswer: 400*z**4 + 260*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spw when three letters picked without replacement from {b: 1, w: 6, p: 1, q: 1, s: 9, x: 2}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 + -116. Suppose 0 = k*a - 15*a. Which is smaller: a or 3\/16?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-13514824.\nAnswer: 540592.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*j**3*t*y**2 + a*j**3*t - 2*a*y**2 + a + j**3*t*y - 8*j**2*t*y**2 wrt y?\nAnswer: -4*a*j**3*t - 4*a - 16*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/4 - -48) + 4 + -5. Let u = t + 5. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 1326 = 726. Let m = f - -474. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -543, -2157, -4841, -8595, -13419?\n\"Answer: -535*u**2 - 9*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:14 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - -13 - (1 + 6 + (-3 - (1 + 3))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 46822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 26862?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:07 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 * -3837\nAnswer: 7290.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 32. Suppose -7 = 5*n + 3. Let m = n - d. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8489*j - 84784. What is m(-10)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 9*p + 6. Solve p*j**4 + 30*j**3 - 2810 - 160*j + 2810 = 0 for j.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 v, and 1 e when three letters picked without replacement from {j: 1, x: 1, e: 5, v: 5}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 6*q + 12. Let w be y(4). What is the second derivative of -4*z + 3*z - z**2 + z - w*z wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*f + 2554, 5*f - 508 = 4*f - 3*k. Suppose -4*h - f = -5003. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-15) + (2 + -1)*0?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 10*x + 23. Let n be l(7). Suppose -3*b + y + 9 + n = 0, 1 = y. What is the greatest common divisor of 52 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*20\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -37. Let q = 14.037 + -0.037. Let i = q + k. Which is the third smallest value? (a) 1 (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 7. Let j be v(-5). Let g = -2 + j. Let h(a) = -a**2 + 9*a + 22. Let k be h(-2). Are k and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 14. Which is the nearest to 1? (a) o (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5143 and 695.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1 (c) 3.975 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1513691381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -714*v**3 + 7*v**2 + 14*v + 2. Let a(j) = -357*j**3 + 3*j**2 + 6*j + 1. Give 7*a(z) - 3*k(z).\nAnswer: -357*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 121*j + 6252. Let a be i(-53). Is -176 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - (11 + (-6 - -12) + 6).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138*d**2 + d**4 - 19*d**3 - 1 + 3 + 135*d**2 to the form b*d**2 + m*d**4 + c*d + g*d**3 + y and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*f - 4*f**2 + 17*f to l*f + h*f**2 + b and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/3*(819\/6)\/7. Let v = u + -82. Find the first derivative of v*d**2 - 2*d**2 - 40*d**2 + 35 wrt d.\nAnswer: -66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8955.131 micrograms in tonnes?\nAnswer: 0.000000008955131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267 greater than 6797\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*n - 150 = -327 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -15*l**2 - 7*l + 22. Let a(g) = -5*g**2 - 2*g + 7. Let s(o) = 7*a(o) - 2*n(o). Factor s(w).\nAnswer: -5*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(325))*1 + sqrt(832)\/sqrt(4).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17\/(-4) + 5\/20. Let y be (28 - 428\/16)\/(1\/4). Sort o, -1, 1, y in increasing order.\nAnswer: o, -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4682130, 9364265, 14046400, 18728535, 23410670, 28092805?\nAnswer: 32774940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 876 + -875. Let v = 84 - 25. Calculate the lowest common multiple of v and w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5959 - -0.264?\nAnswer: -0.3319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00055 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-3)\/(-10)*224\/168 + 18263\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) + 22\/(-5). Suppose -7*y + 3*y + j = -61, -j = -3. Let t = y + w. Solve t = 4*q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:27 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-three halves of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 211*s**2 - s + 1. Let l = 4 + -2. Suppose 2*v - l = -0. Is f(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v + 21. Let r(a) = a**2 - 10*a - 19. Let o be r(12). Let m be w(o). Suppose 10*g - m = -2*g. What is the least common multiple of g and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) -2\/3 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35058959 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) -0.0985 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 + -2)*(11 + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 32 = -4*p, -5*t = -2*t - 3*p + 63. Let o be (-1)\/4*(-32)\/(-20). Which is bigger: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3600*j. Let s(d) = -3*d + 322. Give x(s(h)).\nAnswer: -10800*h + 1159200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*t + 22 = -t, 3*v = 2*t + 56. Suppose -v = 3*w + 15. Let b = 13 + w. Solve 0 = 2*k + b*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16594637 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(153) + 1)**2.\nAnswer: 24*sqrt(17) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1317 - -1278) + 36 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*f - 412, f = -2*m + 162 + 32. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**3\/6 + 3*i. Let r(y) = -7*y. Determine d(r(k)).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5219 divided by -6.\nAnswer: 5219\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0, -29, -8, 103?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 18. Solve -h*i - 12 = -3*z, -2*z = -0*z + i - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 6. Let r(p) = -11*p + 41. Let v(l) = 4*i(l) + r(l). Let q(u) = -10*u + 9. Determine -11*q(t) + 6*v(t).\nAnswer: -4*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342096 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 c, and 2 g when four letters picked without replacement from cgoggkcgccocuk?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/3, -0.5, 456?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -240 - -243. Let z(h) be the second derivative of -1\/20*h**5 - 1\/6*h**3 - 5\/12*h**4 + 0 + 5\/2*h**2 + m*h. What is z(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21213 + -11?\nAnswer: 21202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 2*f**2)*(-4*f**3 + 0*f**3 - 4*f**3) + 3*f**3 - 3*f**3 + f**5.\nAnswer: -15*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30408543?\nAnswer: 3, 11, 181, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**2 - a - 4. Let n(j) = -j**3 + 11*j**2 - j + 8. Suppose 55 = 4*l + l - 2*u, -5*l = -u - 55. Let o be n(l). Is h(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1\/4 (c) -68113883 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3770 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 207236347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 80*w - 79*w - 3*h, -5*h = -6*w + 366. What is the remainder when 97 is divided by w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.144 - -3.146358. Round f to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39486 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -10872, -5, 0 in ascending order.\nAnswer: -10872, -30, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x + 18 - 15 - x)*(4 - 5 - 16)*(2 - 1 - 3).\nAnswer: 306*x + 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 28*c - 16. Calculate v(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q**3 + 10*q + 10. Let m(t) = -t - 1. Calculate 20*m(k) + 2*u(k).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.1 + -17.1. Let w(n) = n**3 + 3*n**2 - 2*n - 4. Let k be w(-3). Which is the closest to k? (a) -1\/2 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**2. Let q(t) = -5*t - 4*t + 4*t + 0*t. Calculate f(q(y)).\nAnswer: -100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462763 greater than or equal to 1462765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54902.6 - 54903. Let y = 28 - 139\/5. Let s = 12231\/8 + -1527. What is the closest to s in c, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocsuoqfqqooo. Give prob of picking 1 q and 1 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34210 is divided by 1490.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - n = -9, 2*n - 55 = 5*v - 4. Let p = 1 - v. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/5))**8)**(-2\/23) assuming x is positive.\nAnswer: x**(-64\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 15*m**2 - 13*m - 3. Let j be o(14). Let h(z) = j*z - 2*z**2 + 0*z**2 + 4*z**2 + 29 - z**2. What is the units digit of h(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -219385 and 0.4.\nAnswer: -219384.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -46. Let t be 33\/(-110) - 6\/(-10)*(-189)\/(-18). Calculate the greatest common factor of b and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.3 and -5.\nAnswer: -46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, 10, 40, 96, 184, 310, 480?\n\"Answer: t**3 + 4*t**2 - 9*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303 a factor of 59430879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 2*x**2 - 2*x**2)*(-x - 4*x - 3*x).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8565*p**2 - 100873*p**2 + 187*p**2.\nAnswer: -109251*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 1 (c) 4 (d) 13 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-50) - 1\/5. Let b(k) = -k**2 - k + 1. Let w be b(-2). Which is bigger: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03 and 1005121511?\nAnswer: 1005121511.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 - 98. Let b = g - -478. Is 43 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 18 = 462. Suppose -5*z - 7*z = l. Let b(u) = u**3 + 5*u**2 - u - 2. What is b(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**16\/f)\/((f\/((f*f**6)\/f))\/f*f*f))\/(f**7\/f)**(-44) assuming f is positive.\nAnswer: f**283","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 223, 228, 235, 244, 255, 268?\n\"Answer: s**2 + 2*s + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*a - 170 + 20. Let j be ((-19)\/((-95)\/4))\/(2\/a). Solve 3*n - 5 + 1 = -j*t, -4*n + 7 = 3*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 + 2*q - 21*q**2 - 4*q + 21*q**2.\nAnswer: -14*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 304.7 - 305. Let n be 6\/4*8\/102. Sort r, -4, n in increasing order.\nAnswer: -4, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2975333017116 + 70?\nAnswer: -2975333017046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -4250\nAnswer: 1\/850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95684 (base 14) to base 16.\nAnswer: 58134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, 2, -4 in decreasing order.\nAnswer: 17, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25b005 - -1?\nAnswer: 25b006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**9*r)\/r)\/(r**(2\/37)*r*r))\/((r**(-6)\/r)\/r**(-1\/2)))\/((r\/(r**(-2\/5)\/r))**(-23)*r**(-5\/2)*r\/r**(7\/2)) assuming r is positive.\nAnswer: r**(20959\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 - 2*f**2 - 1. Let t(y) = -283*y**3 - 11*y**2 - 2*y - 4. Calculate -4*s(d) + t(d).\nAnswer: -271*d**3 - 3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 2:27 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -311248.\nAnswer: -12449.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 2*d - 94 = 6*b, 0 = -3*b + 5*d + 122. Let u(v) = v**3 - 5*v**2 - 2*v - 3. Let t be u(6). Let m = b - t. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002668871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 209c72f + -1?\nAnswer: 209c72e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 709, 2326, 4963, 8620?\n\"Answer: 510*a**2 + 87*a + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28099417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114\/215 - -3\/43. Let q = -7 + 7. Let n(k) = -k**3 + 7*k**2 - 7*k + 7. Let m be n(6). Which is the nearest to -0.2? (a) w (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31593553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 2*n + 14 - 14.\nAnswer: -2*n - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - (0 + -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443231 (base 5) to base 15.\nAnswer: -4896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/2 + 2156799*w = 0. Calculate w.\nAnswer: 0, 4313598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1) + (3 - 7)\/(-4). Let w = -2 - -4. Suppose -t*f = 3*z - z + 6, 6 = w*z - f. Is -1 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 v when three letters picked without replacement from {b: 7, v: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/20*20\/(-12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 22846.838.\nAnswer: -22854.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -0.1, -53, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -18*d - 3. Calculate v(-4).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 199331, 398694, 598057?\n\"Answer: 199363*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/14)\/(-42*(-801)\/(-17444))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 3*k**2 + 5*k + 1. Let v be b(2). Let y be 7\/(-6) + v\/14. Sort y, 2, 1\/13 in increasing order.\nAnswer: y, 1\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/99 smaller than -28234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -k + 8. Let t = 27 - k. Calculate the least common multiple of 33 and t.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176 - 98. Let h = c - 78.63. Round h to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 23 = l - 2*l, -l = 2*n + 5. What are the prime factors of 3 + -4 + (-174)\/(-2) + n?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3))**34*(z\/(z*z**(-3\/8)))\/z**(-2\/17))**(-42))**(-10) assuming z is positive.\nAnswer: z**(-1449525\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a1aa1 (base 15) to base 12\nAnswer: -20838a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 949 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -30*a**3 + 2*a**2 - 225*a + 2. Let x(p) = 30*p**3 - 2*p**2 + 225*p - 3. Let q(z) = 3*k(z) + 2*x(z). What is the second derivative of q(i) wrt i?\nAnswer: -180*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(6*1*sqrt(121) - sqrt(121) - sqrt(121))*4)\/((sqrt(99) + (sqrt(99)*1 - sqrt(99))*5 + sqrt(99) - sqrt(99))\/(sqrt(36)\/sqrt(4)*4)) + 5.\nAnswer: 5 + 128*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 64 - 54. Let a(f) = 4*f + 8. Let o be a(-2). Solve -w - w - m = o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507122 is divided by 1359?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -3*h**2\/2 - 5*h - 1. What is the remainder when (-1)\/(-2) - (-23)\/2 is divided by z(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r**2 - r**2 + 0*r**2 - r**2 + 2*r**2 + (-2*r + 3*r + 0*r)*(0*r + r + r) + r**2 - 4*r**2 + 5*r**2)*(33 - 15 + 10).\nAnswer: 196*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(72))**2*2*-1 + 6*-1*-2*sqrt(98) + -3.\nAnswer: -149 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 7359380.\nAnswer: -1\/1471876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 15*t + 42 = 11*t, 0 = -3*a + 2*t + 24. Put -28, a, 1 in decreasing order.\nAnswer: a, 1, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 1:41 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -31*o**3\/3 + o**2 - 1. Let f(g) = -4*g + 28. Let v be f(9). Let y be j(v). Round y to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5979?\nAnswer: 3, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26\/(-39))\/(2\/(-75)). Suppose 6*z - r = z. Suppose o - 22 = -z*f, -o + 0*f - f + 22 = 0. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0329 + 0.032669. What is y rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**4 + 614468*g**3 - 23347536*g**2 + 196603840*g + 491513600 = 0?\nAnswer: -2, 20, 307196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5779\/4 + -1561\/4. Let k = -1081 + n. What is the common denominator of 1379\/168 + (-3)\/(-8) and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - -37 - (2 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9290285 divided by 5.\nAnswer: 1858057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0077589 rounded to 4 dps?\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than -0.72812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1319556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*t - 21*t + 41*t as d + u*t and give u.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**15\/(x*x*x**(2\/9)*x*x)*(x\/(((x*x**17*x)\/x*x)\/x))\/(x*x**(-13)) assuming x is positive.\nAnswer: x**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 423*k + 29. Calculate f(-1).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1363136 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Suppose 2*w - 26 = 5*l, 2*w + 65 = 7*w + i*l. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -0.2, -3, -53 in decreasing order.\nAnswer: -0.09, -0.2, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, -4, 2\/7, 3 in decreasing order.\nAnswer: 4, 3, 0.4, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 35*x**2 - 422*x - 5960. What is o(-16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-45) + (-1108)\/(-36). Let m = r - -1. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 54*b + 3552. Determine a(-65).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.5 + -3.5. Let q = b + -8.98. Let s = -2.98 - q. What is the biggest value in -2, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -263\/1593908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y + 40. Let v(u) = 21*u - 8. Let c(x) = 522*x - 198. Let i(f) = -4*c(f) + 99*v(f). Calculate p(i(o)).\nAnswer: 18*o + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, v: 4, y: 2}. Give prob of sequence vwyv.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 2:02 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 3*u**2 + 3*u + 6. Let w be s(-3). Let j = -102.4 - -102. Which is the second biggest value? (a) w (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4379906 micrometers in meters?\nAnswer: 0.0000004379906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161349157 rounded to the nearest one million?\nAnswer: 1161000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 + 56. Solve -3*c + q = -7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16999454887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*k = -3. Let t = k + 8. Suppose t*x = 4*x + 1. Calculate the greatest common divisor of 11 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**4 + 599815*g**3 + 3842227 wrt g.\nAnswer: -4*g**3 + 1799445*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 533410.5 millennia?\nAnswer: 5334105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1603 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*(((1 + sqrt(475))*2 + sqrt(475) - sqrt(475) - sqrt(475)) + sqrt(475)))**2 + 0.\nAnswer: 1440*sqrt(19) + 68544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 1. Let w(z) = -116*z**2 + 8*z + 5. Let n(s) = 5*l(s) - w(s). Let q be n(-3). Suppose -294 = 7*k - q. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 332 - 10233021?\nAnswer: -10232134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 10*c = 6*c + 2*c. Let h = 360 + 166. Suppose 9*s - 11*s + h = c. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -20.9. Let h = q - 4.9. Let l be (1\/9)\/(2\/(-4)). Which is the biggest value? (a) l (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 - 2. Let m(y) = -6*y - 4. Determine m(p(w)).\nAnswer: -18*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Suppose -5*p + 14 = 4. Factor k**2 + 0*k**p - 3*k**c + 2.\nAnswer: -2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, t: 8, w: 6}. Give prob of sequence wffw.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g**3 - 51633*g**2 + g + 1094280 wrt g?\nAnswer: 9*g**2 - 103266*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 27 + 2*r**2 - 111 - 3*r**2 + 54 - 31*r. Give x(-17).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 63 = -14. What are the prime factors of u?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 62, 66, 70, 74, 78?\n\"Answer: 4*s + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 21*k**2 - 7930*k - 3018. Determine f(378).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110066?\nAnswer: 2, 11, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, c: 3}. What is prob of sequence yycy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -37*q + 11. Let z(p) = 6*p - 2. Give 6*t(n) + 34*z(n).\nAnswer: -18*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 51325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 87010, 1, -0.2, 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16556 > 10812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/30 and -35\/114.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 - 161\/(-28). Is (-6)\/(-9)*(r - (-5529)\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*k**5 - 21*k**3*u**3 + 11*k**2 - 2*k*u**3 + 4*k*u + 395*u**3 - 2*u**2 wrt k.\nAnswer: -320*k**3 - 126*k*u**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 962745 is divided by 1134?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3153 - 2.09864.\nAnswer: -3155.09864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3502*g + 445*g**3 + 3502*g - 444*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51, -54, -59, -66, -75?\n\"Answer: -b**2 - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.5, -0.283, 4 in descending order.\nAnswer: 4, 0.5, -0.2, -0.283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -154047?\nAnswer: -154045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8910 and 126895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 840.3 + -807. Let i = u - 33.6. Let v = -0.02 + -0.38. Sort i, -2\/21, v.\nAnswer: v, i, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72957 and 249.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - c = -17, d - 1 = 2*c + 1. Let s be (1*-3)\/((-6)\/d). What is the lowest common multiple of (-5)\/(s*2\/8) and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 = 5. Suppose -11 = 4*t + m. What is the units digit of (1 + t + 1)*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uruu when four letters picked without replacement from rrrrrrruururrrrrrr.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.1 (c) 0.4 (d) 4 (e) 23\/32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -924056, -924063, -924070?\nAnswer: -924077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.347069 litres in millilitres?\nAnswer: 7347.069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -n + 71. Suppose j = -n + 95. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 5219609005.\nAnswer: 5219608963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u = 2*z + 487*u + 4550, -4*u - 16 = 4*z + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 - -37?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.096 - 4.096. What is the second biggest value in b, -0.1, -6, -4\/31?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85326, -170559, -255790, -341019, -426246, -511471, -596694?\n\"Answer: x**2 - 85236*x - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78\/5 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-1596)*-19)\/(220\/480).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015461186 to 4 decimal places.\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 71187437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 164\/(-164) + 0\/2 + 4. Solve 0 = 3*p - 6, 4*a - f*p + 2 = 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 244. Let w(g) = g**3 - 8*g**2 - 60*g + 23. Let v be w(13). Let y = a - v. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 1448 = -18*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4125335, 8250673, 12376011, 16501349, 20626687?\n\"Answer: 4125338*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 66*v**2 + 364*v + 276. Give s(60).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 6:27 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 7*a**2 - 4*a - 8. Let y be n(5). Let w = y + -7. Suppose 0 = 4*l, -2*l = 5*s - 7*l - w. Solve -c = c - s*r + 8, -4*c = -2*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -15 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k - k)*(0*k**4 - 2*k**4 + 0*k**4) + 5*k**2 + 4*k**5 + 9*k**2 - 2*k**5.\nAnswer: 6*k**5 + 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304202 is divided by 2598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*x, -4*m + 3 = 5*x - 18. Solve 13 = -5*a - 2*c, -4*a + m*c - 16 = -0*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/13))**17\/((m\/m**(-7))\/m*m**(-2\/19)) assuming m is positive.\nAnswer: m**(-2349\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-66)\/(-110) + -1 + 2\/5. Let m = 992 + -992.5. Put 1.1, p, m in increasing order.\nAnswer: m, p, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - 3*u + 6*u)*(2 + 2 - 2)*(11*u + 91*u + 13*u) to n*u**2 + q + v*u and give n.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*t, -2*t - 3*t = -5*m - 5. Let s = -1391 + 1396. Sort s, 3, m in descending order.\nAnswer: s, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 - 1. Let a be d(-1). Let z be (-3)\/a - (1 + -5). Suppose -z*u + 4*y + y = -20, -3*y = 2*u - 26. Solve w = 3*w - u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30116.\nAnswer: 2, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 4*n + 3*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + 14 + -18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 282113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in 2\/9, 1, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u - 2. Let w be i(1). Solve 0 = -w*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*f + 32*f - 114. Let n = f - 97. What are the prime factors of (0 - (-252)\/(-15))*n\/12?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2 - 1) + -17 + 17\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23443 and 357.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 - 5.6. Let z = 2333 - 2333. Is z greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsxsxs. Give prob of sequence ss.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**2 - 13. Let d(n) be the third derivative of -n**4\/24 + 201*n**2 - 2*n + 10. Calculate d(j(m)).\nAnswer: -8*m**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 + (-594)\/(-4). Let u be j\/(-3) + 8\/(-12). Let b = u - -70. Solve -3*t - 5*w + b = 0, t - 3*w + 8 = -w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3724 and 50806.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -241 + -1b9?\nAnswer: -43a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 148500 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9063.\nAnswer: 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 42923.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from swsks?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**5\/15 - 47*u**4\/24 - 5*u**3\/3 + 61*u**2. Let a be t(12). Solve 0*b + a*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6*t = 5*t. Suppose 4*o - 5*h + 2 = t, 0*o = -5*o - 2*h + 14. Suppose 0 = -16*l + o*l. Is -0.05 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 13*r + 16. Let c be t(12). Let o = 75 - 70. Solve -c*l = l - o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2125 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 6*t + 9. Let a be l(2). Solve -5*w - 8 = -3*k, -5 = -w - 5*k - a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15476052 rounded to four decimal places?\nAnswer: -0.1548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/7 - 406*u**2 - 56491*u\/7 - 143922\/7.\nAnswer: -(u + 3)*(u + 17)*(u + 2822)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1472 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -20 (b) 13 (c) -0.005 (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 61*p**2 + 4*p**3 - 79*p**2 - 128*p - 49*p**2 + 22*p**2 + 3.\nAnswer: 4*p**3 - 167*p**2 - 128*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -z + 28, -5*z + 120 = -x. What is the greatest common factor of z and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37426, -35638, -33850, -32062, -30274?\nAnswer: -28486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -298*n + 40823. Calculate c(137).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3992\/28443)\/((-1)\/27*-2) - 2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -767 and -0.1?\nAnswer: 766.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3897571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + 39*t**2 + 32*t + 200. Give a(-19).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 39 = -3*o, 115*o = 110*o. Solve 3 = -9*m + u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4\/5, -5, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 92.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 0*s - s + (4 - 1 - 6)*(320*s - 159*s + 2 - 112*s) to the form y + i*s and give i.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 9:20 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen quarters of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 45 = 5*u, 4 + 15 = -3*u - p. Let f(v) = -4*v + 14. Let m(n) = -6*n + 19. Let q(a) = 7*f(a) - 5*m(a). Determine q(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2311097 and -1.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -4*(sqrt(99) + sqrt(99) + 2*sqrt(99)) + sqrt(99))\/(5*sqrt(9)*1).\nAnswer: -14*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -19*r + 18*r - 8, 2*q = -2*r + 16. Suppose -6*g + 9*g - 3*t = -24, 4 = -5*g - q*t. Put g, 4, 0.1, 3\/2 in descending order.\nAnswer: 4, 3\/2, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(2\/192). Let d = 219 + -150. Let i = d - m. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 29. Let s(z) = -z + 1. Let d(i) = i - 4. What is q*s(t) - d(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1446 - 635. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6*i + 15. Let q = -1 - i. What is the smallest value in 4, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(22)\/sqrt(2) + -2)**2*-3*3*3.\nAnswer: -405 - 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1748?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 7910981?\nAnswer: 4\/7910981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(16\/(-6)) - (-149)\/4. Let t be (-5 - -4) + a\/(-8). Which is bigger: -5 or t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1\/5, 0, -4\/5, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**2 + 99*k**2 - 2*k**2 + (-k - k + 4*k)*(-2*k + 3 - 3) - 4 + 4 + 2*k**2)*(0 - k + 0) as a*k**3 + o*k + p + q*k**2 and give a.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**7\/21 + 63*v**5\/20 - 637*v**3\/6 + 324*v. Find the second derivative of g(s) wrt s.\nAnswer: 40*s**3 + 378*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424788817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, 5, -14\/43, -4 in increasing order.\nAnswer: -4, -0.5, -14\/43, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -8*c, -5*b - 4*c + 1485 = 0. Let f be 7\/(35\/10)*b\/6. Let a be ((-1)\/(-3))\/(2\/54). Calculate the greatest common divisor of f and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - y - 1. Let v be g(-1). Suppose -7*j + v*j = -28. Calculate the remainder when 27 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*h + w - 3, 0 = -3*h - 4*w + 31. Suppose 0 = u - h*u - 100. Is (u + 0)*4\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -3094.\nAnswer: -3091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 2*g + 2. Let i be m(3). Let o = -398 + 4382\/11. Is o smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*w - 3*l + 13, 2*l + 16 = 4*w. Suppose w*x - 25 = -0*x. Let m be 2\/(-3)*3\/(-2). What is the highest common divisor of m and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(11) + -1 - sqrt(11)) + ((sqrt(66)*-1)\/sqrt(6))**2 + sqrt(11) - (-5 + (sqrt(176) - (sqrt(176) - (-1*sqrt(176))**2))).\nAnswer: -166 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - 12. Let q = -30 - n. What is the nearest to 0.1 in 2\/11, -1\/3, q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/24)\/(6\/24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 87*u + 351. What is the remainder when j(-42) is divided by 146?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -96 (c) 0.2 (d) -0.02 (e) 0 (f) 49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -51.5. What is t rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -256335 + 266?\nAnswer: -256047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14136113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -189.523 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 87 = -6*r - 71, -2*i - 13 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -62850698 minus 0.414623?\nAnswer: -62850698.414623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -12\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 87*h**2 + 397*h - 10635. Calculate d(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 2:34 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i**3*i)))\/(i\/(((i\/(i*i**(4\/11))*i)\/i)\/i))*(i\/(i*i\/((i\/i**(3\/4)*i)\/i))*i)**(-6\/7) assuming i is positive.\nAnswer: i**(373\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6876248 is divided by 2292081.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**4 + 2*h**3 - 83630*h**2 + 1329615?\nAnswer: -4*h**3 + 6*h**2 - 167260*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**2\/2 + 2*v - 9. What are the prime factors of w(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 16*k - 32. What are the prime factors of o(13)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - 987\/77) + 2. Which is smaller: -5 or m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1972 divided by -493?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 4*a**2 + 6*a + 3*a**2 as x*a**2 + i + z*a and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from qllqll.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*y - 90*y + 583 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 688300889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -5*l + 86. Let s be 0\/l + (-1)\/1. Let m(h) = 14*h**2 - h - 1. Calculate the remainder when 54 is divided by m(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n + 1 - 9 + n**2 + 0*n**2. Let y be d(-6). Let m be 3\/(3\/2) - 3. Put -4, y, m in increasing order.\nAnswer: -4, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5759, 11570, 17381, 23192, 29003?\nAnswer: 34814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.058.\nAnswer: -0.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 355766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 12*f + 63. Let j be k(-14). Solve -807*d = -800*d + j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 33*z**2 + 32*z**2 - 60*z**2. Let f(b) = 2*b**2. Give y(f(d)).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l - 3*n + 4, 0 = -l + 5*n - 2. Put -2\/3, l, -4 in descending order.\nAnswer: -2\/3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.937905 rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 853*f - 851*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 223059, 446453, 669847, 893241?\n\"Answer: 223394*o - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 430, 116, -958, -2798, -5410, -8800, -12974, -17938?\n\"Answer: -x**3 - 374*x**2 + 815*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62279232271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/10)\/((-9)\/(-30)). Suppose 88 = h*x - 86. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*f = -0*f - 7, 3*o - 9 = 3*f. What is the units digit of (o\/(-2))\/((-3)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 320 + -128. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let o(p) = 3*p - 2. Let j(f) = -f + 1. Let q = 3 - 4. Let x(b) = q*o(b) - 2*j(b). Give x(m(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100232 - 1024222?\nAnswer: -423440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*y**2\/11 - 192304*y\/11 + 76920\/11.\nAnswer: 2*(y - 19230)*(5*y - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 10 = -3*a, 0*a = 2*a - 3*i - 2. What is the highest common factor of a and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -189 - -24. What is the units digit of 2*1 + -8 + v\/(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 1. Let t(m) = 11*m + 27. Let u(g) = -4*g - 9. Let w(d) = -2*t(d) - 7*u(d). Let l(x) = -9*o(x) + w(x). Let j(h) = 2*h. Determine l(j(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98.1 + -75. Let f = -22 + p. Let s = -0.86 + f. Round s to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2 + (4 - 3 + 2)*(0 + 5 - 7))*(-2 + 5 - 1)*(42 + 2*n**4 - 10 - 3*n**4) to the form v*n + b + l*n**4 + h*n**2 + z*n**3 and give b.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 3984\/203?\nAnswer: 3984\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 375 + -181. Let m = -7957\/124 - -1997\/31. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*h - 22 = m, 16 = -3*m + 5*h. Find the second derivative of 9*n + 19*n - n - m*n - 20*n**2 wrt n.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 334, 225, 110, -11, -138, -271?\n\"Answer: -3*s**2 - 100*s + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*w = -231*w + 50*w + 582*w + 49581 for w.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + x - 5, 2 - 5 = -3*k - x. Let f = -971 - -967. What is the closest to k in f, 7\/5, 1\/4?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 - 134. Suppose -424 = -w*s + 338. What are the prime factors of s?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, 8, -0.5, 3\/10, -219?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*w**2 + 129*w**2 + 135*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244366889, -244366891, -244366893, -244366895, -244366897?\nAnswer: -244366899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -86, 5 in increasing order.\nAnswer: -86, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*g*y - 837*b**3*y**3 - b**2*g*y - 25*b*y**3 - 210*g*y - g + y**3 wrt b.\nAnswer: -6*b*g*y - 5022*b*y**3 - 2*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 12:15 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l + 5. Let s be f(-31). Suppose 5*n - s = -3*i - 1, 5*n - 5*i - 90 = 0. Calculate the remainder when 102 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 5*h**2 - 6*h + 9. Let a be i(6). Let v = a + -5. Solve -5*c - v = 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - 152.7?\nAnswer: -204.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 162 = d, -d = -6*d - 15. What is the remainder when 98 is divided by r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36887 + 36833528059.\nAnswer: 36833491172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 16) in base 8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 8293508?\nAnswer: 8293508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123 + -41143?\nAnswer: -41321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-220)\/(-180)*(-3)\/(-4). Let g(o) be the second derivative of -1\/3*o**3 - x*o**4 - 1\/2*o**2 - 11*o + 0. Give g(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 30 - 5. Suppose -5*f + 175 = h*g, 6 = -2*f + g + 79. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 5. Suppose 0*t - 5*t = -25. Let n be j(t). Let z be 3\/15 + 28\/n. Solve -z*i = -5 - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*o**2 - 5*o**2 + 7*o**2 + (o + 0*o + o)*(-4 + 2*o + 4) - 3*o + 5*o + o**2 + 2*o**2 in the form y + k*o**2 + d*o and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 380 (b) 0 (c) -4 (d) -3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*a - 112. Let u = -389 - -434. What is the highest common factor of a and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1050 - -30. Let s = l - 9734\/9. Let h = -1589 + 1588. What is the nearest to -1\/2 in h, 2\/13, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 3*f**5\/20 + 3*f**4\/16 - f**3\/4 - 3*f**2\/8 + 15. Solve l(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 3\/2)*-6. Let b = 8 + i. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in -1, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 p when four letters picked without replacement from {p: 1, g: 3, r: 2, f: 6, j: 3, y: 5}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 7 - (-5 + 10)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -735.8949048 - 221.\nAnswer: -956.8949048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024329609 divided by -7264749?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azb when three letters picked without replacement from {b: 2, a: 2, z: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100100200011011 + -122?\nAnswer: 100100200010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.124 (b) 0.9 (c) -2 (d) -0.8 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**11\/(p*p*p**(2\/11)))\/(p**(-1\/4)*p*p*p*(p**(2\/21)\/p*p)\/p) assuming p is positive.\nAnswer: p**(6443\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 3*u**2 - 89 - 6 + 94.\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*v**2 - 4 + 6 + 25*v**3 - 21*v**3 as u*v**3 + j*v**2 + w + i*v and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 19.4. Which is the nearest to 0.4? (a) -2\/13 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 285025.085?\nAnswer: 114010.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 m, and 1 g when four letters picked without replacement from gxmmmggxm.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9 + 16*t + 5 - 3*t + 153*t**2 - 6*t wrt t.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -17*g - 67. What is the units digit of r(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14983 = -233*w + 1253*w - 22844 - 64559 for w.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**4 + 174*f**3 + 2*f**2 - 341*f**3 + 166*f**3 + f to the form k + v*f**4 + d*f**2 + u*f**3 + c*f and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 2*w**3 + 6*w**2 + 5*w + 2. Calculate the lowest common multiple of 5 and r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 452 = -0*u - 4*z, z = u - 226. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guugurugguj. Give prob of picking 1 j and 2 u.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 2 + -2*13. Let b = s + 23. Solve 5*i = -b*o + 2, -5*i = 3*o + 2*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15 + (-1)\/2*2. Let g = w - 10. What is the remainder when 6 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u - 15. Let m be g(-5). Suppose m = 9*a - 25. Sort 33, 0, 3, a in decreasing order.\nAnswer: 33, a, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 + 48.6. Let j = 43.9 - f. Let s = j - -3.15. What is the nearest to 1 in s, -0.4, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 684581 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 24*c**2 - 3*c + 33. Let x(s) = s**2 + s - 1. Let p be 6\/(-5)*(-15)\/(-6). Let q(j) = p*x(j) - r(j). Differentiate q(h) wrt h.\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8115*y**3 - 6*y**2 + 12*y - 16. Let j be l(6). What is j rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*c**2*i*o**2 + 1758*c**2*i*o - 900*c**2*o**2 - 81*c*o - 3*c + 17*i*o**2 - 3*i wrt o.\nAnswer: -26*c**2*i - 1800*c**2 + 34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4874 is divided by 842?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1ac50 - 7a?\nAnswer: -1acca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38839.\nAnswer: 38839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 17*x. Let y(a) be the second derivative of 23*a**3\/6 - 2*a + 219. Calculate y(k(f)).\nAnswer: 391*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 1320*y**2 + 5982 - 5982.\nAnswer: 1320*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/69 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*u + 293 - 773 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -22097316.81 to the nearest one hundred.\nAnswer: -22097300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 5474*q**2 - 27328*q - 21856.\nAnswer: -2*(q + 1)*(q + 4)*(q + 2732)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(3 - 6) + 1. Suppose q + 31 - 7 = 3*a, a - 32 = l*q. What is the tens digit of (-9)\/(-1)*(-21)\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2. Let w(q) = -96178990*q. Calculate w(t(h)).\nAnswer: 96178990*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 153.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 u, and 1 y when three letters picked without replacement from uonyo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 81466, 81450, 81434, 81418, 81402, 81386?\n\"Answer: -16*b + 81482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*u - 13*u**2 + 11*u**3 + 896*u - 476*u.\nAnswer: 11*u**3 - 13*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -55, -57, -59, -61, -63, -65?\n\"Answer: -2*b - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 200 + -134. What is the remainder when d is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(-6) + (-1)\/(-3). Let v be p\/(-3) - 2\/6. Let x = -2 - v. Solve -4*d + 4 = o - 5*d, -2*o - 4*d + 8 = x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 25953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -873039663214*l**2 + 3*l**3 + 873039663214*l**2.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 111, 111, 111, 117, 135, 171?\n\"Answer: h**3 - 6*h**2 + 11*h + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 12:44 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -1\/8*g + 1\/8*g**3 - 1\/8*g**2 - 11. Solve r(u) = 0 for u.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -397, 1379, -2 in decreasing order.\nAnswer: 1379, -2, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163388*a**2 + 326761*a**2 - 163246*a**2.\nAnswer: 127*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -60*n**3 - 6*n**2 + 5*n - 2. Let k(i) = -60*i**3 - 5*i**2 + 4*i - 2. Give 4*c(r) - 5*k(r).\nAnswer: 60*r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*1 + 8\/1. Let p = -213 - -276. Calculate the highest common factor of p and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1 - (-9)\/6). Calculate the remainder when 108\/(-10)*(-5)\/o is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*12\/192*-68.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 551 - 1855*z + 3960*z - 1836*z wrt z?\nAnswer: 269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b**(2\/23)*b)*(b**(-22)*b*b*b)\/b*b**(4\/13)\/(b*(((b**12*b*b)\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(-9203\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9546 - 152635\/16. Find the common denominator of ((-21)\/(-4))\/(3\/6) and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 6*z**2 - 7*z + 1. Let g be (5\/(-15))\/(4\/84 + 0). Calculate t(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akaxeakaeeexexkexxx. What is prob of sequence aek?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1587371 (base 13) to base 16.\nAnswer: -69b57c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188109081 to the power of 1\/2, to the nearest integer?\nAnswer: 34469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -3\/2*i**2 - i**3 - 2 + i. Let b(f) be the first derivative of -2*f**3\/3 - f**2 + f - 32. Determine 5*b(d) - 3*g(d).\nAnswer: -d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 468, 937, 1406, 1875?\n\"Answer: 469*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -247553?\nAnswer: -247552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134 and 2.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -326127147.12+4\nAnswer: -326127143.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -138, -0.4, 1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 31*m - 104. Let a be l(27). Find the first derivative of -55 - 2*w**4 - 61 - 14*w**a wrt w.\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {i: 1, y: 4, m: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2247*a - 9887 = -131225 for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -26 + (-36 - -7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002983037 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 6 = -l + 177*t - 179*t, -5*t = -12*l + 100 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 70 = -3*p, 3*p = -2*r + r + 55. Suppose 2*s - 2*j - 2 = 0, 0 = -149*s + 153*s - j - 13. Solve 3*g + p = -g, s*q + 25 = -g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 9*n = -6*n - 3, 5*a + 9 = 4*n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 219453740*b**2 - 175531444*b?\nAnswer: 438907480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 134, 1\/1839, 20, 9?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 331824 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/((-15)\/20) - -335?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-504)\/60)\/21 - 1\/40*-1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -416080, -1664333, -3744756, -6657349, -10402112, -14979045, -20388148?\nAnswer: -26629421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8093 or -8091?\nAnswer: -8091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrbsivbi. What is prob of picking 1 l, 1 s, and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*o - 33*o + 1280 = -3*o - 56*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, t: 4, h: 5, g: 4, v: 1, w: 1}. What is prob of sequence yh?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -63. Let k = -34 + i. Suppose -j + 31 + 8 = k. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 100?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86907 and 4396905?\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 234, 219, 194, 159, 114, 59, -6?\n\"Answer: -5*l**2 + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-8)*6*76\/(-57)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -t + 5*h, -2*t - 5*h + 32 = -0*t. Find the first derivative of t*c**2 + 3 - 10*c**2 + 6*c**2 wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 + g - 2*g**3 + g**4 - 5*g**2 + 4*g**3 to the form v*g**3 + k*g**2 + y*g + f*g**4 + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.428 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k*v + 382122*k - 8045*v wrt v.\nAnswer: 4*k - 8045","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 573709, 574148, 574591, 575038, 575489, 575944?\n\"Answer: 2*s**2 + 433*s + 573274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -89 - 3?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.976 + -0.024. Let s = j - -28. Which is the nearest to s? (a) 1\/4 (b) -5 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6369*r - 7323*r + 7827*r - 5333*r - 8900*r as b*r + s and give b.\nAnswer: -20098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 11:23 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*g**2 + 161*g**2 - 34*g**2 - 32*g**2.\nAnswer: 173*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 3*p + 45, 413*g - 2*p = 410*g - 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4716 and 431252?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c + 18. Let z be ((-200)\/(-120))\/(1\/(-3)). Let b(n) = 6*n + 12. Let j(k) = z*m(k) + 8*b(k). Determine j(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-3) + -1 - (19 + 176). Let w = -201 - i. What is the third smallest value in -0.2, -4\/17, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -353*x**3 - 10*x**2 + 229*x - 11. Let a(t) = 71*t**3 + 2*t**2 - 46*t + 2. Let q(d) = 11*a(d) + 2*b(d). What is the third derivative of q(s) wrt s?\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -217 - -420. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/32 and -47\/52.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 + -166 + (18 + -14 - (13 - (0 - -4))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -68705411.1 rounded to the nearest one million?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4131 and 0.\nAnswer: -4131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4 + 120*c**3 + 1226*c**2 + 1104*c = 0.\nAnswer: -8, -1, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 4*s**2 - s + 5. Let z be r(4). Let g be (-1)\/(z*-2)*26. Suppose 5*y = 3 + 37. Solve 4*j + y = 4*q, 3*j = -q + g - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -20*u - 1. Let v be o(1). Suppose -c + 4*r = 2*r + 31, 0 = 4*c + 3*r + 113. Let h = v - c. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k + 1. Let v(w) be the second derivative of w**4\/12 - 2*w**3\/3 - 2*w**2 - 2*w. Let m be (-1 + 0)*(-8 - (-14)\/2). What is m*v(j) + 4*x(j)?\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1938413 (base 12) to base 7.\nAnswer: -63032001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1832.87 to the nearest 10.\nAnswer: -1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 plus 414109693051?\nAnswer: 414109693048.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 16. Let d be k(13). Suppose c + 42 = 3*c. Calculate the greatest common factor of d and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38147.\nAnswer: 37, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -15. Let z = q + -10. Let l = 0 + 3. Which is the nearest to -0.2? (a) -4 (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - 1856?\nAnswer: -1835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -925.9 - -967. Let s = 42 - q. Let f = -0.9018 + s. What is f rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -581, -0.16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m + w - 211 = -365, 3*m = 4*w + 51 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:50 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.004965825 and 0.2?\nAnswer: 0.195034175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*z - 221, 0 = 2*z - 5*x - 285 + 70. What is the derivative of -z + 1428*v**4 - 105 - 2*v - 1394*v**4 wrt v?\nAnswer: 136*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*r**4 - 821423*r**3 + 7*r**2 + 4028*r + 700.\nAnswer: -60*r**2 - 4928538*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/10 + 43*t**2\/5 + 169*t\/10 + 42\/5 = 0 for t.\nAnswer: -84, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 1384029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 13*n**2 - 4*n - 2. Is u(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2*sqrt(325)*4 + 0)*5*-3)**2.\nAnswer: 36000*sqrt(13) + 4680900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2 = 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/17*((-3)\/45 - (-352)\/330)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1185302 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -37*q**6\/3 - 14*q**3\/3 - 77. What is the third derivative of k(y) wrt y?\nAnswer: -4440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 14*f**2 - 41*f - 9. Let t be u(-10). Put 158, 0, t in decreasing order.\nAnswer: 158, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/16*8*(-294)\/4. Solve 9*h - x = -120 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l = -75 - 52 + 42 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 167170 and 140160?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -30. Let s(h) be the second derivative of h**4\/6 + h**3\/6 - h. List the prime factors of s(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - 9\/((-9)\/(-14)). Let m = 35 + g. Let p be -1*2\/(-8) - (-2865)\/60. Calculate the highest common factor of m and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 6. What is p(-6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*o + 1)*(3*o**2 - 2 + 2 - 1 - 2*o**2 + 1 + (0*o + 0*o + 2*o)*(5 - o - 5) - 2*o**2 - 3*o**2 + 8*o**2) + (-4*o**2 + 4*o**2 + 6*o**2)*(4 - 2*o - 4).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 371, 775, 1179, 1583?\n\"Answer: 404*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4 + 8*r**3 + 94*r**2 - 204*r - 288 = 0.\nAnswer: -6, -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdhdhhy. What is prob of picking 1 y and 2 h?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3723, 7947, 12173, 16401, 20631, 24863?\n\"Answer: f**2 + 4221*f - 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 j, and 1 b when three letters picked without replacement from {p: 1, b: 2, j: 1, r: 4, y: 3}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 776.2039 nanograms?\nAnswer: 0.0007762039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5655 (base 12) to base 6.\nAnswer: 112145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3966264, 7932526, 11898788, 15865050, 19831312, 23797574?\n\"Answer: 3966262*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 1 - 14*c**3 + 1 - 7 + c**2 + c**3. Let d be k(-4). Suppose -5*y + d = 5*m, -5*m + 4*m = -5*y + 827. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4922965 to the power of 1\/2, to the nearest integer?\nAnswer: 2219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 18 = -2*b + 22, 2*b = -a + 32. Let g = 96 + -70. What is the lowest common multiple of g and b?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -77. Let v be ((-15)\/(-9))\/(2\/(-30)). Let y = 69 - v. Calculate the remainder when y is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 65111, 130244, 195399, 260588, 325823, 391116, 456479, 521924?\n\"Answer: 2*a**3 - a**2 + 65122*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 - 8352*y\/11 - 232288\/11.\nAnswer: -2*(y + 28)*(y + 4148)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13127053 to the nearest integer?\nAnswer: 3623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 195*v**3 + 188*v**3 - 383*v**3 + 154*v**2 + 496*v**6 wrt v?\nAnswer: 59520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 2*n - 2. Let w = -44 - n. Let h be 6\/33 + 0 - 52\/(-198). Which is the nearest to 1\/2? (a) h (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*b + 17 = 6, -5*l - 2*b + 42 = 0. Let d be (l\/(-20))\/((-1)\/(-5)). Let v = -1 - d. Solve 11 = 2*p + v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113934436.\nAnswer: 2, 7, 11, 369917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 14*q - 23. Let m = -607 + 622. Calculate r(m).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*r + 6*r - 2108, 3*t - 2108 = -4*r. Suppose 2*v - 4*d = -6, -3*d + 21 = 3*v - 60. What is the greatest common divisor of v and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -507 >= 0.6714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**3 + t**2 - t. Suppose 3*v - 6 = -4*l + 17, -4*v = 4*l - 24. Let g be o(v). Put 1, 6, g in descending order.\nAnswer: 6, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 1:35 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pvpswpvwvwe.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.08854585 to 2 decimal places.\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.9 - 30.9. What is the smallest value in -1\/6, 0, 10, a?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25393 + 3159?\nAnswer: -22236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (360\/(-60) - (-1 - (2 + 0))) + 4517. What is the highest common factor of n and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -42.1. Let n = -1895.81 + 1896. What is the nearest to n in -1, g, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -93, -184, -275?\n\"Answer: -91*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 8:16 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7133 + 1537 = -4*z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, -2\/7, 100, 2, 14\/11 in descending order.\nAnswer: 100, 10, 2, 14\/11, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -126 or -10674?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*j + 4206 = 0, -14*c + 1689 = -12*c + 3*j. Calculate the highest common factor of c and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l - 78. What is the remainder when 408 is divided by v(12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24885*r**3 - 12488*r**3 - 12338*r**3.\nAnswer: 59*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1972*a**4 - 105*a**3 - 9197*a + 15 wrt a?\nAnswer: -23664*a**2 - 630*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m - 11*m = -13*m + 11*m - 600 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9)*0)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2 - 5372*x - 74424 = 0. What is x?\nAnswer: -1329, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1817*a + 2369*a - 3443*a)*(2 + 7 - 5 - a).\nAnswer: -743*a**2 + 2972*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3755 - 3755 - 9*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36841141 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 6*b - 3. Let q be u(6). Let k = 4 + q. Suppose n = 4 + k. What is the nearest to 1 in -3\/2, n, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(16\/(-2288)*-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52\/6 - 2\/(-6). Suppose f = 2*h + 1. Suppose 0*r + 2*r = h. Solve -2 = -r*j + s - 1, 2*s - 4 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwmwawlmam. Give prob of sequence waw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.054 (b) -15 (c) -7 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/386137050 and 131\/5438550?\nAnswer: 386137050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(14)\/(-3*sqrt(2) + sqrt(2))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -341850, -683696, -1025540, -1367382, -1709222?\n\"Answer: z**2 - 341849*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d - 9. Let w(y) = -24*y - 27. Let z(o) = 17*n(o) - 6*w(o). Let x(m) = 2*m + 2. Let v be 13 - ((-68)\/85)\/((-4)\/20). Give v*x(c) - 2*z(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)*s**(7\/2)\/s*s*s\/s**(2\/21)*s**(1\/6)*s)\/((s**(1\/2))**(-47)\/(s**(-2\/9)*s*s**0*s*s)) assuming s is positive.\nAnswer: s**(4049\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -8\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 981546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/368 and -99\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 772 = -d + 771, -4*g - 5*d - 2 - 19 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1014 + 0.3014. What is the third smallest value in -0.4, c, -112?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/12 - 1450\/8. What is the common denominator of (g\/60 + 3)*(-355)\/(-6) and 121\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8310450 is divided by 4155192?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2530315 + -232?\nAnswer: 2530043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 2\/15, 0.2, -5, -1 in increasing order.\nAnswer: -5, -1, 2\/15, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s + 5. Let b(c) = 8*c + 6. Give -6*b(w) + 5*l(w).\nAnswer: -8*w - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -12. Solve u - 2 = k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10175 divided by -11\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 + -104 + -1 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 <= 22569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27666, 27667, 27668, 27669?\n\"Answer: i + 27665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0193115 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25461\/(-3772)*(-56)\/18.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 - 165729\/36. Let p = w - -4609. Let v = p + -14\/3. Is 0 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.8 + -3.8. Let i = 23 - h. Let u = -0.243 + 5.243. What is the closest to -10\/7 in i, u, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -2, -0.4, -131030, -0.11 in descending order.\nAnswer: 3, 0, -0.11, -0.4, -2, -131030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 * -18\nAnswer: 3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3915382, 15661511, 35238390, 62646019, 97884398?\n\"Answer: 3915375*a**2 + 4*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7126 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 294.9 * 251259.\nAnswer: 74096279.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 11 + 7 = -3*y, -2 = 4*y + 5*f. Suppose 3*a = y*a + 2*a. Let d be ((a - 1) + 1)\/(-2). Solve -5*n + 38 - 13 = d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14106320419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.1 + 0.9. Let w = 3.6 + 0.1. Let n = w - 3.5. Which is the smallest value? (a) n (b) 0.6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*b + 17 + 5, 0 = -2*o + 4*b + 16. Let f = o - 4. What is the remainder when -1 + (-3)\/(-3) + f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -878 by -1.\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 36?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 140057 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 4. Let v be k(-3). Let c be (-2)\/(4 + v + 0). Sort 4, -2, c in ascending order.\nAnswer: -2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**4 + 2*b**3 - b**3 + 17 - 18 to q*b**2 + v*b**4 + w*b + z + t*b**3 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 2, 2\/3, 1\/3, -24, 0.09, -2\/7, -40?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhmhmhhfhhkkhf. Give prob of picking 1 h, 2 m, and 1 k.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -49*x**3 + 122*x**2 + 31*x - 55. Let i(y) = -10*y**3 + 22*y**2 + 6*y - 11. What is 11*i(f) - 2*o(f)?\nAnswer: -12*f**3 - 2*f**2 + 4*f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - -6 - (-17 + 40 - 14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3702 = -5*i - 2*w + 1450, 2062 = 2*i + 2*w. What is i rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*h + 28*h - 46*h - 36*h + 17*h.\nAnswer: -150*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4847939649.7727 + 0.4.\nAnswer: -4847939649.3727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163184*m - 81639*m - 81669*m.\nAnswer: -124*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 + 2*r + 2. Let p be x(0). Put 4, -4, -5, p in descending order.\nAnswer: 4, p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -57296 and -141?\nAnswer: 57155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4208.1087 rounded to the nearest ten?\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/2 (b) 2\/13 (c) 44 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 1. Let d(h) = -13*h**2 - 13*h - 13. Determine d(o) + 13*q(o).\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -30054000 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 less than or equal to 1259502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1580 divide 99560540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 331*z**7\/210 - 125*z**3\/6 - 55*z**2\/2 - z - 137. Let p(b) be the second derivative of r(b). Differentiate p(o) wrt o.\nAnswer: 1324*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 125*h**8\/112 + h**5\/60 - 1265*h**4\/8 + 2701*h**2. Find the second derivative of o(c) wrt c.\nAnswer: 7500*c**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144*p**5*z**2 - 6*p**5*z - 35*p**2*z**2 + 3*p**2*z + 11*z wrt p.\nAnswer: -8640*p**2*z**2 - 360*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from {k: 1, m: 1, e: 1, p: 3, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/7, 1\/12, 1\/4, -0.01, -1\/269?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 448007623588 + -124.9.\nAnswer: 448007623463.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 8*t**2 - 8*t + 4. Let d be n(-7). Let i = 9 - d. Which is the second biggest value? (a) -5 (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5868, 5881, 5910, 5961, 6040, 6153?\n\"Answer: s**3 + 2*s**2 + 5865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 3*n**2 - 4*n + 3. Let y be h(4). Let s(r) = -7*r + 97. Let o be s(22). Let a = o - -59. Solve -5*b - y*p = 14, 2*b + 3*p - a = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.1 and -149876.39?\nAnswer: 149879.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 201, 265, 329?\n\"Answer: 64*y + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-121)\/(-33)*-7*20\/(-112)*22\/55?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1))**(12\/17))**18\/(r*r**7*r**(-9))**(2\/35) assuming r is positive.\nAnswer: r**(2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {b: 1, e: 3, n: 2, a: 1, g: 1, p: 5}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 6*k + 2*k + 1412, -5*y + 3*k = -3491. Let i = 6232\/9 - y. Calculate the common denominator of i and -46\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -24. Suppose w - j = p, -3*w + w + 20 = -4*p. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.9620752 rounded to 3 decimal places?\nAnswer: -9.962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 4*j**2 + 2*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, p: 3, c: 5, w: 5, s: 2}. Give prob of picking 1 s and 1 c.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 + 12. Calculate t(-3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2\/6 - 11000*u\/3 - 12100000\/3.\nAnswer: -5*(u + 2200)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -298*r**3 + 1. Let w be c(1). Let m = 474 + w. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17411 + 1.17411. Which is the second smallest value? (a) 0.4 (b) g (c) 0.05 (d) 95 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2024923?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10*t + 74. Let r be x(-8). Let b = 47 + -34. Let y(f) = 8*f**2 - 13*f + 9. Let h(m) = 4*m**2 - 6*m + 4. Give b*h(l) + r*y(l).\nAnswer: 4*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/(-8)*308\/63. Solve 20*o - h*o = -3*k - 6, -o + 4*k + 13 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:19 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 = 3*l + 6*h, -4*l = -4*h - 28. Let d = -5 + 2. What is the biggest value in -0.3, l, 2, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/12 and -81\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*x + 274, 3*y - 3*x + 5*x - 451 = 0. 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: Calculate (-30)\/175*(-10)\/(-4)*1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 61*q - 35. Let k = 189 + -144. What is the tens digit of t(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 12 = -3*w. Let t(l) = -13*l + 30. Let h be t(w). Let m = -40 - h. What are the prime factors of m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434, 451, 484, 539, 622, 739, 896?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -21. Let c(u) = 7*u - 28. Let r be c(p). What is the greatest common divisor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 12126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 3*z + j + 7, -2*z - 17 = 3*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - 3*(1*sqrt(104) + sqrt(104)))\/(sqrt(12)\/(sqrt(6)*1)).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 144514314?\nAnswer: 144514330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10729 - -0.063.\nAnswer: 10729.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 19*d**2 + 3*d + 52. Calculate v(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 193 + -189. Solve d = s + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*u - 76, w + 4*u - 1 - 4 = 0. Let p = 7 + w. What is the least common multiple of (-5 - (-6 - -5))\/((-2)\/p) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 20. Calculate the remainder when 6 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5882 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -18. Let g = 9 - r. Suppose 0 = -5*p + 4*s + 68, 16 = p + 2*s - g*s. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3864 divided by -1932?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20712 divided by 24\nAnswer: -863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 4561.\nAnswer: 6\/4561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + 25 + 47 + -4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11311.61715 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -855 + 882. What is the fifth smallest value in j, -4, -1\/2, 1\/7, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/667782 and -95\/506.\nAnswer: 7345602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1200102 (base 4) to base 7\nAnswer: 23652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 14. Let y be c(-7). Suppose -540 = -5*q - y*q. Let l = q + -26. List the prime factors of l.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -16*u**3 - 5*u**2 + 2*u. Let k be t(3). Let c = 701 + k. What is c rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*d - 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*k + 795, -2*k + 1970 = 5*b - 6*k. List the prime factors of b.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320637.\nAnswer: 3, 17, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*k*w**3 - 799*k*w**2 + 71*k*w - 414*w**3 + 2*w**2 + 5859*w wrt k.\nAnswer: 5*w**3 - 799*w**2 + 71*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11314 + -1235530?\nAnswer: -1251244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/18 - (-3)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1769, -5025, -9909, -16415, -24537, -34269?\n\"Answer: a**3 - 820*a**2 - 803*a - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -0.1, 5, -6\/5 in decreasing order.\nAnswer: 5, -0.1, -6\/5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -330847 - 31.855\nAnswer: -330878.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*k**3 - 14*k**3 - 14*k**3.\nAnswer: -75*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11996580 divided by 999715\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/(15\/(-9)). Let h = 6 + -2. What is the closest to y in -3\/4, h, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25746.\nAnswer: 2, 3, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -13*r + 22. Let m(f) = 147*f**2. Calculate m(b(w)).\nAnswer: 24843*w**2 - 84084*w + 71148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = -0*h. Suppose -5*r - 4*a + 41 = -0*r, -2*a - 2 = -h*r. Suppose t + 4*j = -11, -2*t - r*j - 5 = t. Is 8 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3860, 3859, 3856, 3851, 3844?\n\"Answer: -r**2 + 2*r + 3859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ete when three letters picked without replacement from yyeewtywwe.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 - 15*c + 9. Is i(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w. Suppose 6*f = -5*j + f + 50, w = -j + 2*f + 19. What is the remainder when j is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942 is divided by 106.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 p when four letters picked without replacement from bpbppppbbbbbpbbppbpb?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 296*f + 1198.\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12224\/(-192)*2\/((-4)\/(-6)). Let c = d - -194. Solve -5*l - 5*a = -40, -c*l + 5*l + 5*a = 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 1\/3 (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.3 times 51.69?\nAnswer: 2393.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -124. Let q = 55.8 - r. Let m = q + 16. Which is the biggest value? (a) m (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6895 - -55077\/8. Find the common denominator of k and 17\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10*b - 150 = 7*b, 124 = 3*v - 5*b. Solve 7*z + v = -2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1041, -1043, -1047, -1053?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 3*b = -3*a + 2, 0 = -a - b + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 38 + (3 - -1). What is the third derivative of 0*s - 7*s + 7*s - s**2 + j*s**3 wrt s?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*d + 423127 - 417873 = 0 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.35 (b) 2\/15 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 5*z = 65, 3*y + z + 19 = 0. Let g(s) = 6*s**2 - s - 9. Let j be g(y). Let k = j - 234. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -101*r**3 + 9*r**2 + 7*r - 12. Let w be x(-6). Let b = w - 9086. Suppose 0*k + b = -k. Round k to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10128 - -14?\nAnswer: 10142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/965 + 973\/3860. What is the nearest to -2\/9 in 0.4, -0.3, -0.02, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*k + 16, 8 = 2*k - 0*k + 5*s. Let u(j) = 2*j + 13. Let w be u(7). Let p be (1 - w)*3\/k. Round p to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -929*v = -938*v - 3*u - 33, 23 = v - 5*u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/6 + 1605*4\/72. Suppose r - 92 = -u. Suppose -2*x = -3*x + 5. Solve 4 + 11 = r*w + 5*p, -30 = -5*w - x*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10608*b**2 + 2457*b**2 - 1172*b**2 + 14545*b**2.\nAnswer: 26438*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(sqrt(272)*2 + 0)*-5 + 1).\nAnswer: -4 + 640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + 4 + -2 + sqrt(112) - (-5 + (sqrt(112) + sqrt(112)*1)*4)).\nAnswer: -28 + 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4 - 4*d**3 - 86*d**2 + 256*d - 168 = 0. What is d?\nAnswer: -7, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/168)\/(2\/(-72) + 0). Solve h = -6*z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 e, and 1 n when four letters picked without replacement from gnggnne.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, -1\/59, -1\/2, 0.3, 4\/3 in increasing order.\nAnswer: -1\/2, -0.24, -1\/59, 0.3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 a when three letters picked without replacement from ooooaooooaoo.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5776 * 3\nAnswer: 17328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*q**5 + 1138788*q**4 + 6612289828*q**3 - 49167009216*q**2 + 91339346176*q.\nAnswer: q*(q + 11624)**2*(7*q - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1. Let t(i) = -i - 7. Give -t(w) - 5*u(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 3*k**2 + 4*k**2 - 2*k + 3*k**2 to the form a*k**2 + f + w*k and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 17. Let h = j + -8.9. Round h to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyoooyooooooyo. What is prob of picking 2 o and 1 y?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -687064, -687076, -687088, -687100, -687112, -687124?\n\"Answer: -12*o - 687052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = -5*x - 19, -9 = x + 2*k. Let y(w) = -w**3 - 5*w**2 + 9*w + 5. Let s be y(-6). Let r be x - 0 - 13\/s. Let c(q) = -3*q + 2. Calculate c(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-70))\/(85\/(-595))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1338393 (b) 3.7 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1632\/(-544))\/(6\/5)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 8. Let v(w) be the second derivative of -2*w + 0*w**3 + 0*w**2 + 0 - 1\/4*w**z. Let c(o) = -2*o**2. Determine c(v(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/3, -13, -0.16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-12)\/(-78) + (-23216)\/(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 81. Let d(f) = -82. What is -6*d(h) + 5*n(h)?\nAnswer: -10*h + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.34 + 0.5. Let g = f - 0.7. Let w = -1.14 + g. Which is smaller: w or 16?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600773377 to the power of 1\/3, to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 = 2*z - 9*z. Let x = -82 - z. Solve -11 = i - x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**4 - 47991*h**3 + 3472077*h**2 + 18847551*h - 22271634 = 0.\nAnswer: -16069, -6, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 10) to base 9\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 + 2*n - 3. Let r = 7 + -3. Let d be z(r). Let f = d + 70. What is the remainder when f is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 99?\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34090 and 0.6.\nAnswer: -20454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j + 215 = 0. Let t = 45 + j. Solve -5 = t*y - 7*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 2*p**2 - p**2)*(7*p**2 + 2*p**3 - 7*p**2 + 6*p).\nAnswer: 2*p**5 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -15. Let p = 10 + r. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.8 + 5.2. Let z = p + -18.935. Let h = z + -0.06357. What is h rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 28. Let a be ((-6)\/(-4) - 1)*0. Suppose -3*j + 100 = -2*x, 2*j - x + a*x = 65. Calculate the remainder when j is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:48 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*z**2 - 4 + 4 + 59*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -7. Let n = 1.702162 + 4.29783. Let m = y - n. What is m rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 9*g - 7. Suppose -28 = 6*o - 2*o. Calculate b(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -34?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 75 = -13*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/9 + 215984*d**4\/9 + 1943568010*d**3\/3 - 23327351992*d**2\/9 - 29157840040*d\/9 = 0. What is d?\nAnswer: -53998, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 24880.27 years?\nAnswer: 248.8027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1521 (base 8) to base 3.\nAnswer: 1011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*o + 20, 4*o + 5 = -11. Suppose w - 4*w + 15 = n. Suppose -17 = -4*u + 2*r + 3*r, w = u - 2*r. Let h(d) = d**2 - 4*d + 4. Calculate h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 != -1339201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 14) to base 3\nAnswer: -12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + o = v + 6, 5*o + 12 = v. Let f be (1\/v)\/((-1)\/(-6)). Suppose -8 = -f*c - c. Solve -c*s - 4 = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -2\/27, 26, -0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 + 15*z**2 + 61 + (3 - 3 + z)*(2*z - 2 + 2) + 5 - 2 - z**2 - 1 to a*z**2 + b*z + p and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2971*w**3 - 26778?\nAnswer: -8913*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*a + 140 = 0, -18*d + 4*a + 130 = -13*d. What is the highest common factor of d and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7499701*j**5 + 23*j**2 - 16*j + 462157 wrt j.\nAnswer: 149994020*j**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/30)\/((-5284)\/(-125495)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2. Let b(x) = 3*x**2. Give i(b(h)).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 682721.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - 3 = 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 944.87 centuries?\nAnswer: 9448.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwxxyqx. What is prob of sequence cy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -14 + (260\/(-13) - -37). Solve d*o + 27 = 3*l - 0*l, -13 = 3*l + 5*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 - 2)*(-14*h + 44*h - 16*h).\nAnswer: 56*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -3) + (-6)\/(-6). Suppose 3*g = 5*a + 8*g + o, -4 = -5*a - 2*g. Solve v - 9 = -0*v + 4*q, -4 = -a*v + q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - ((sqrt(1331) - (-2 + (sqrt(1331) - (5 + sqrt(1331) + sqrt(1331)))) - sqrt(1331)) + sqrt(1331)) - -1*sqrt(1331)*3) + -5)**2 + 0.\nAnswer: -528*sqrt(11) + 5468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-100 - -100) + -6 + -1 + -12).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 5826?\nAnswer: 52434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.057 and -2.5.\nAnswer: -0.1425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -3)*((-3)\/(-3) - -3). Let p be (24\/(-30))\/(1\/(-5)). Let a = 14 + -6. What is the third smallest value in p, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o. Suppose 4*d - 4*b + 38 + 22 = 0, -4*b - 36 = 4*d. Let z be (-16)\/6*(-1)\/d. Is o != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(12)\/sqrt(2)*-3)*-2)\/(-2*(sqrt(162) - (sqrt(162) + (sqrt(162) - -4*2*sqrt(162))))).\nAnswer: sqrt(17)\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 + 52. Let t = x + 35. Let v = 0.01 - -0.29. What is the closest to 2 in t, v, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 11381652*l**2 - 22763316*l.\nAnswer: 3*l*(l - 2)*(l + 3793886)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 321*q - 30*q**2 + 11 - 324*q to the form i*q + d + v*q**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0473904 rounded to three decimal places?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.285 + 131.285. Let i = -133 + k. Which is the second smallest value? (a) -9 (b) -0.5 (c) -5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1768 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(8\/3 - 3). Put 9, t, 2\/13 in descending order.\nAnswer: 9, t, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/11)\/(k*k**(-11)))**(5\/8))**17 assuming k is positive.\nAnswer: k**(9095\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (32 + -57 - -20) + (6 - 36)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5\/3)\/c)\/(c**(-2\/9)*c))**(-8) assuming c is positive.\nAnswer: c**(248\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 782, 1568, 2352, 3134, 3914?\n\"Answer: -y**2 + 789*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 5*c + 5*f, -2 = 2*c - 3*f + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 5*k - 1. Let i be 3*(-1)\/(-1) + 0. Let m be a(i). Suppose 0*t = -t - 3*s + 68, 0 = -m*s + 25. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4840 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -23. Let n = -17.935 + -0.065. Let z = 16 + n. Which is the smallest value? (a) 0.3 (b) 4 (c) z (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10280 divided by -5\nAnswer: 2056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -137\/3*x**2 - 84 + x**3 + 156*x = 0.\nAnswer: 2\/3, 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) -55 (c) 1\/11 (d) 0.5 (e) 2 (f) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1)*u)**5)**(-3\/10)*(u**(-2\/5))**(17\/2)\/(u**(-1\/3)*u**0*u) assuming u is positive.\nAnswer: u**(-257\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by (-1)\/((6\/(-27))\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9999 and 198?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2661110 - -3?\nAnswer: 2661113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*y + 980, 5*o - 4*y = -y + 4948. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (459*o + 4049*o + 3864*o + 661*o)*(3*o + 2*o - 7*o).\nAnswer: -18066*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 6*a + 2. Let p(h) = -h**2 - 7*h - 3. Let l(f) = f**2 + f - 8. Let u be l(0). Let d = u + 13. What is d*n(c) + 4*p(c)?\nAnswer: c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 129*j**2 - 3*j - 2. Let u be p(-1). Let k = u - 130. Suppose 2*f = -4*i + 2*i - 2, 19 = 2*f - 5*i. Solve 14 + 8 = 3*l - 5*t, f*t + 10 = k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 24*k**2 + 25*k - 5. Let p be r(25). Sort -3, p, -2\/49 in ascending order.\nAnswer: p, -3, -2\/49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 0)*1\/2. Let z = -2.2 + 1.6. Let f = -1 - z. What is the third smallest value in f, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72970 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*g - 4, -x + 7 = 2*x + g. Let u(n) be the second derivative of x*n - 1\/3*n**3 + 0 + 0*n**2. Let k(j) = 3*j**2. What is u(k(w))?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -18 and 1\/74 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25231014 is divided by 1327948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 360 + -2. Suppose -3*x + 206 = -0*x + 5*v, -5*x - v + g = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-8))\/(5\/(40\/3)). Suppose 5 = -k*v + 5*o + 17, 12 = 4*v + o. Suppose -33 = -v*l - 6. What is l rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -125*i - 1305. What is x(-11)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 8, -g = -q - 3 + 1. Suppose -3*h - 4 = -5*i, 3*i - 4 = h - q. Solve -2 = -y, -i*f + 6*y - 16 = 3*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*m - 13, 3*m + 2*m - 2*s - 18 = 0. Suppose -m*f - 16 = 4*w, -5*w = -2*f - 0*w + 20. Suppose -5*o + 4 - 9 = 0. Sort o, f, 4.\nAnswer: o, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64336801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0642 - -0.0642667. What is i rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5295.81 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 17 - 2. Let s(t) = t**2 + 52*t - 683. What is the remainder when s(-63) is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 49 + (-10)\/(4 + -4 + 8\/4). Which is the second biggest value? (a) -4\/7 (b) -57 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3113332467?\nAnswer: 3, 7, 97, 227, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55036?\nAnswer: 2, 13759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 381*q**2 - q - 1. Let b be k(-1). Let v(w) = -w**2 - 32*w + 108. Let f be v(-35). Suppose 2*n = -2*x - 2*n + 254, n + b = f*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 1 (b) 0 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559*w - 1265569970 = 560*w + 5*d, 2*d = 2*w + 2531140012. Round w to the nearest one million.\nAnswer: -1266000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -v - 13 - 3, 2*z = 3*v + 20. Let w = z + -1. Suppose g - w = 7. What is g rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3370225453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*p = 192*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 558224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3047625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-15) + 1\/35. Let g(x) be the first derivative of -x**4\/4 - x**3 + x**2\/2 + 2*x - 7. Let f be g(-3). Are f and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 534 - -2?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.9999954 + -8. Round p to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 - 10*s**4 + 7*s**4 - 13*s**4 - 5*s**4 - 2*s**5.\nAnswer: -3*s**4*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 5*h**2 - h - 5. Let p be 18\/15*(-20)\/(-6). Let j be x(p). Suppose 3 = 2*i - j. Solve 4*y + 16 = 2*v, 3*y + 13 = -3*v + i*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6803, -13667, -20589, -27563, -34583?\nAnswer: -41643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1153596*-0.3\nAnswer: 346078.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d\/d**2))**(2\/7)*(d\/((d*(d\/d**(-24))\/d)\/d))\/(d\/(d\/(d*d**(2\/13)))) assuming d is positive.\nAnswer: d**(-314\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.6. Which is the closest to q? (a) -0.4 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -589*a - 519*a + 1528*a - 548*a to z*a + s and give z.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354131042 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: Expand (-3 + 15*z + 3)*(-2*z - z + z)*(z**3 + 5*z**3 - 30*z**3).\nAnswer: 720*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**5\/60 + f**4\/4 - 7*f**3\/6 - 2*f**2. Let n(g) = -5*g + 3. Let v be n(2). Determine c(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 405\/72*(-21024)\/(-1971).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141346 is divided by 228.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 112\/12)*59967\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(sqrt(6) + -2*sqrt(384)))\/(-6*(sqrt(18)\/(sqrt(6)*-1) - sqrt(3) - sqrt(3))).\nAnswer: -5*sqrt(2)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-10))\/4*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d. Let j(i) be the second derivative of 7*i**3\/6 + 8*i - 17. What is 5*j(b) + 6*r(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 73?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 784627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 11*k**2 - 21*k + 16. Let v be b(-12). Suppose 2*m + c = -2*m + 124, 4*m - v = -5*c. Let q = -123\/4 + m. Which is smaller: 1\/5 or q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/653 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -16*v**2 + 8*v + 6. Let g(j) = -j**2 + j + 1. Let m(b) = c(b) - 6*g(b). Find the second derivative of m(u) wrt u.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3113310132 - 12?\nAnswer: -3113310210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1070339g in micrograms?\nAnswer: 107033.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 185, 486, 927, 1508?\nAnswer: 2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0532349605 rounded to 5 dps?\nAnswer: -0.05323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12 - -43.\nAnswer: 42.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c**3 + 102*c**2 + 515*c + 669. Let n(l) = l**3 - 17*l**2 - 86*l - 114. Let q(r) = 4*k(r) + 26*n(r). Factor q(h).\nAnswer: -2*(h + 4)**2*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a + 17. Let j be x(-10). Let c = j - -23. Let n(b) = -b**3 + 9*b**2 + 11*b + 9. Calculate the least common multiple of n(c) and 11.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 112 + 9*r - 38 - 37 - 35. Calculate x(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17164*d + 34306*d - 17160*d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 2478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-15)*6*(-10)\/(-50).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -24*((-17 + 12)\/(-35) - (-22)\/(-56)). Solve q*w + 7 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 652672, 652077, 651482, 650887, 650292, 649697?\nAnswer: 649102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -7. Suppose g*x - 3 + 9 = 0. Is 7 a factor of (5\/1 - x) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 2 + 5*m + m - 13*m**2 - 7*m. Let w be z(2). Let u be 411\/27 + -3*(-4)\/w. What is the highest common divisor of 45 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003574.\nAnswer: 2, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 10*m**2 - 8*m + 5. Let j be k(-9). Let s be ((-15)\/12 - 0) + 1. Which is the third smallest value? (a) 0.3 (b) s (c) j (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 29. Let u(h) = 4*h - 7. Let j be u(r). Let s = -15 - j. Solve -18 = -3*z - 3*x, -4*z + s*x = -24 + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6 = -2. Let g be (f - 7)*(-4)\/10. Suppose -33 = -3*t - g*j, 18 - 69 = -4*t - 5*j. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -x - 318. Suppose 4*c + x = 565. Calculate the highest common divisor of 48 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 1:04 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4 + 80*h**3 - 540*h**2 + 1440*h - 1296 = 0. What is h?\nAnswer: 2, 3, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**5 - 2*t**5 - t**5 + t**5 - t**5 + t**5 - 3*t**5 + 0*t**5 + 4*t**5 + (-2*t**5 - 3 + 3)*(1 + 3 - 6) + (0*t - 2*t + 0*t)*(-4*t**4 + 2*t**4 + t**4).\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 6:05 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-11)*y*y))\/((y*y*y*y**(-7)*y*y)\/y)*(y*y\/(y*y**(1\/5)*y*y*y))\/((y\/(y**(-3\/8)\/y))\/y))**(-18\/7) assuming y is positive.\nAnswer: y**(-3393\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:53 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -9*v**6 + 4*v**3 - 2*v - 60. Find the third derivative of a(k) wrt k.\nAnswer: -3240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.309742 and -17107.7589?\nAnswer: 17107.449158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 - 4*p**2 - 6*p**2. Let t(v) be the first derivative of -v**3\/3 + 2. Determine t(i(x)).\nAnswer: -49*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -840470000 rounded to the nearest one million?\nAnswer: -840000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1487755 and 0.8.\nAnswer: 1487755.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*o - 0*y + 9, -2 = 2*y. Suppose -5*n = -4*v + 36, -4*v - v = -20. What is the units digit of 1\/o + (-22)\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 35599*o**5\/60 + 25*o**3\/6 - 16*o**2. Let t be r(5). Round t to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-four fifths of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 20. Solve -5*a = p + 25, -a + p = y*p + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**25\/(x*x*x*x*x**(-26)))**(-4\/3))**(33\/5) assuming x is positive.\nAnswer: x**(-2068\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -321*l**4\/4 - 3*l**3\/2 - 45*l**2 - 64*l - 1. Let o be h(-10). Round o to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 26*l - 24. Let d be q(-12). Let w = -128 + d. What is the lowest common multiple of w\/9 - ((-43)\/(-9) - 5) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 23*d - 11. Calculate c(-2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1283 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + l + 0)*(3320 - 8233 + 3171) to the form h*l + g and give h.\nAnswer: -1742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10840 or -119246\/11?\nAnswer: -119246\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x**2 + 2*x**2)*(3 + 3 - 4) - 2*x**2 + 6*x**2 - 3*x**2 - x**2 + 4*x**2 - 2*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268 divided by 1?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29487 divided by -752\nAnswer: -29487\/752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 10. Let w = 94 - 38. Suppose -12*f + 8*f + w = 0. What is the remainder when f is divided by v(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 12*w - 4. Let u be j(-14). Let g(r) = -r**3 - r + 1. Let s(y) = 9*y**3 - 4*y**2 + 13*y - 10. Let q(x) = u*g(x) + 3*s(x). Factor q(m).\nAnswer: 3*(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 1:55 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 - -322. Suppose -35*u = -40*u + m. Calculate the greatest common factor of u and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -717602\/5 - 2\/5*m**2 - 2396\/5*m = 0?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**5\/60 - q**4\/4 - 2*q**3\/3 - 49*q**2. Give x(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -164*g**2 - 29*g + 4. Let k(l) = 82*l**2 + 15*l - 2. Let o(c) = 5*k(c) + 2*t(c). What is the second derivative of o(r) wrt r?\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.41 + -1.41. What is the third smallest value in r, -4\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(190)*-2 - sqrt(190)) + sqrt(190)) + sqrt(190))\/(-6*sqrt(810) + sqrt(10)).\nAnswer: -13*sqrt(19)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2 + 3*m - m - m - 1. Let y be c(2). Suppose 4*g - 2 = -y*n, -2 + 7 = 5*n + 5*g. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 11*x**2 + 4*x - 11. Suppose 14*j - 79 = -9. What is the remainder when r(-10) is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/6 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -248445322 and -319762?\nAnswer: 248125560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38826, 79171, 119520, 159873, 200230, 240591, 280956?\n\"Answer: 2*b**2 + 40339*b - 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11\/3 (b) -1\/2 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.7872, 0.1, 3?\nAnswer: -3.7872","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (5 - -2 - (15 + -17)) - -8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0913 * 0.03.\nAnswer: -0.002739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(0 - -3)\/((-6)\/(-134)). Suppose 333 = -2*p + f. What is the third biggest value in p, -0.3, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/3 (b) -2 (c) 5 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - g = 1430, 3*j - 960 = 5*j - g. Let s = -439 - j. Calculate the highest common factor of s and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 67\/5 of a tonne?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**3 - 2*x**4 - 4*x**3 + 3*x**4 - x - 2 + 0*x**3 as z + o*x**2 + r*x + n*x**3 + a*x**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d = -25. Let g(l) = l**3 + 4*l**2 - 3*l - 2. Let t be g(-3). Suppose -w - t = -5*w. Solve 0 = s - 5*i - 12, -w*i = -s - d*i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4*v - 21, -c + 8 = 4*v + 19. Suppose -12 = -2*y - r, c*y + 5*r - 28 = 3*y. Solve p - 3 = y*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/3 and 8\/20*(-9)\/(108\/(-160)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 9 = 2*s. Let r(c) = -c**3 - 2*c**2 + 3*c + 1. Let v be r(s). Suppose 0 = 3*w - 5 - v. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*k + 2328 - 2008 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from zmzijzzzz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/51)\/(13\/(-75)) - -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/22*-8*(-2)\/16\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y - 5*y + 13*y + y + 2*y - 4*y + (-1 - 2*y + 1)*(1 + 3 - 6) + 0*y + 2*y - 4*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-15))\/(4045\/(-675) - -6). Suppose -t*w = -76*w + 25. Let n(z) = 17*z**3 + 5*z**2 + 3. Let f(r) = -9*r**3 - 3*r**2 - 2. Give w*f(s) - 3*n(s).\nAnswer: -6*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.70224435 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 6. Let o be d(-10). Let z be 28\/36 + o\/(-18). Suppose -5*f - z = -b, 0 = -5*b + 3*f + f + 26. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k**4 + 1\/5*k**5 + 0 + 0*k**2 + 1\/5*k - 2\/5*k**3.\nAnswer: k*(k - 1)**2*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5\/2 + 35*i**4 - 265*i**3\/2 - 750*i**2 - 234*i = 0. Calculate i.\nAnswer: -26, -3, -1\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-455)\/(-14)*(-24)\/(-15). Let x be (1\/4)\/(-1 - 265\/(-260)). Calculate the greatest common divisor of w and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 42416457.\nAnswer: -212082285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1106697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 252211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 248 - -34. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 6504. Let l(x) = -89*x**2 - 93*x**2 - 86*x**2 - 91*x**2 + 360*x**2. What is l(k(w))?\nAnswer: w**4 - 13008*w**2 + 42302016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37138, -2, -6, 3.\nAnswer: -37138, -6, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/7)*r**5*(r**1)**(-1\/3) assuming r is positive.\nAnswer: r**(101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/16 and -73\/41462?\nAnswer: 331696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 21. Let g be d(-5). Let y(n) = -10 - n - 2*n + g*n - 2*n. Give y(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v - 486 + 195 = 732 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96972468?\nAnswer: 2, 3, 47, 171937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68167 is divided by 2000.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -413, -610, -807, -1004?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4591? (a) -2 (b) -0.4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/27*-3)\/((-4)\/(-51))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(110)\/(sqrt(10)*6)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140871.\nAnswer: 3, 46957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0536 plus -0.4?\nAnswer: 2.6536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -2 (b) 2\/185 (c) 5 (d) 1033 (e) 0.2 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 51457*t**3 - 2 + 2 + 4*t**2 + 51459*t**3 + 2*t**4 to m*t**4 + v*t**2 + y*t**3 + r*t + n and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22457910 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 1\/8, -49, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7*r = -2*r - 6333, 4*q - 5*r = 25482. What are the prime factors of q?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 4\/2 - (-160 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 48 = -3*j, -4*k - 4*j - 96 = -j. Let o be k\/(-7) + 32\/56. Solve 4*y - 20 = 3*c + 8, -o*c + 4*y = 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 3 - (-23 + -24)) + (1 - 3 - 4)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*r**3 + 13505*r**2 - 6 - 13505*r**2)*(1 - 1 + r - 1) in the form b + k*r**3 + i*r + v*r**4 + w*r**2 and give k.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*h + 4. Let m be (-1 - h)*(-21 - 3)*1. Calculate the highest common factor of 80 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -2 (c) -24 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 519 - 505. Suppose -l*m + 9*m = -69050. Round m to the nearest one hundred.\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 457\/21 - 150\/7. Which is the smallest value? (a) 0 (b) 1 (c) j (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5417472 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 1:52 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2, 8, -24122, 3, 4 in increasing order.\nAnswer: -24122, -22, 2, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**4 + 4*j**3 + 2*j**2 - 2*j + 1. Let n(i) = -86 + 86 + i. Let o(s) = -2*k(s) + 4*n(s). Solve o(v) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4120)\/(-32))\/((-1)\/(-16)). Suppose -10447 - t = -3*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125425959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.306 + -0.606. What is the nearest to f in -2, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(100\/(-34)) + 6\/(-15). Solve 11 = 2*t + z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*sqrt(153))\/sqrt(9).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*l = 114935, -4*v - 3*l + 459760 = -0*l. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2581*w = -2490*w - 303 - 152 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 5*p - 10. Let j(y) = y - 15. Let k(c) = c**3 + 5*c**2 + 3*c - 1. Let d be k(-3). Let q be j(d). Let s be o(q). Solve -2 = -3*z + s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165\/72 + ((-64)\/(-24))\/(-1)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -224, 21, -5, 30 in ascending order.\nAnswer: -224, -5, 21, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354566 is divided by 83?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 17952033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k. Let a(b) = -4*b. Let g(r) = -21*r. Let m(u) = 11*a(u) - 2*g(u). Calculate o(m(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22585 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428415?\nAnswer: 5, 23, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10494 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -40638?\nAnswer: -40638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -33. Let a be (h\/12 - -3)*-6. What is the closest to 2\/7 in 5, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*i - 78 = -151*i - 6*c, 0 = -4*i + 2*c + 124 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/855856 and 1\/40?\nAnswer: 4279280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/3)\/(182\/156). Which is the second smallest value? (a) o (b) 0 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*r*v**3 - 3*r*v**2 - 2*r*v - 90*r wrt v.\nAnswer: -9*r*v**2 - 6*r*v - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 - -8.3. Let k = 6 - z. Let m = k - -1.001. What is m rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23672204 divided by 5\nAnswer: -23672204\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 12*t**2 - 9*t + 8. What is u(13)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 769.719 centuries to months.\nAnswer: 923662.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/((-56028)\/232)*(-2)\/(24\/9).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 59853*b + 48899896. Determine a(-817).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2400009, -4800040, -7200091, -9600156, -12000229, -14400304?\n\"Answer: z**3 - 16*z**2 - 2399990*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 4, 50, 0, -200.\nAnswer: -200, 0, 4, 50, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 17*g + 106. Let h be c(-22). Let j = -5 - -16. Let u = 9 - j. What is the closest to h in 0.1, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 20973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 7:56 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmcmcmcmmmmmmm. Give prob of picking 3 c.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*sqrt(117)*1*5 - (sqrt(52)\/(sqrt(484)*-2) + (-1 + sqrt(26)\/sqrt(2) - (sqrt(13) - (-1 + sqrt(1300) + sqrt(13))))**2).\nAnswer: -1577 - 1011*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104443 - -3?\nAnswer: 104450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2. Let x(h) = 23*h. Determine x(m(k)).\nAnswer: -69*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*r - 3393 + 296 = -1 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 560\/9 - 62. Which is the closest to 0.8? (a) 0 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -13*i. Let a(n) = 2*n - 6*n + 10*n. Calculate -7*a(p) - 3*g(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*h - 10*h = -7*h - 352 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < -2397.845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 204.0536075+440\nAnswer: 644.0536075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4308329?\nAnswer: 4308329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2\/(-3 + 1). Let i = l + 1. Solve 2*a + 1 + 7 = i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -165*o. Let l(r) be the third derivative of -r**5\/60 + 44*r**2 + 2*r. Determine l(t(z)).\nAnswer: -27225*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 88, 0, 28, 45, 1 in decreasing order.\nAnswer: 88, 45, 28, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 + -146.5. Which is the closest to 2? (a) h (b) 5\/6 (c) -77\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03702 - -19.79402. What is x rounded to 1 decimal place?\nAnswer: 19.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3365 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 2135850.\nAnswer: 10679250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:52 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/22)\/(5\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.21929148 minus 1.97?\nAnswer: -5.18929148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 4*i - 2. Let b be ((8\/(-5))\/1)\/((-14)\/35). Determine h(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-6)\/4)\/((-330)\/101860) + 9 and 826.\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-4) + 12\/16. Let c be (z + 3)*(16\/6 + -3). Factor c*k + 0 + 0*k**2 + 1\/2*k**4 - 1\/2*k**5 + k**3.\nAnswer: -k**3*(k - 2)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4611120 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -2*a**2 + 3*a + 3566. Let q(m) = 6*m. Determine q(x(s)).\nAnswer: -24*s + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*(sqrt(80) + (sqrt(80) + -2)*-5)*-6)**2.\nAnswer: -414720*sqrt(5) + 1788484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 divided by 29?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 12. What is the remainder when 49 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = p + 2. Let g(m) = 4*m + 26. Let a be g(p). Suppose a*f = 3*f - 4. What is the closest to -1 in f, -21, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236104667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q**3 - 7*q**2 - 4*q + 3. Is j(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -129.6 + 130. What is the second biggest value in -2, n, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = z - 2*z. Suppose 5*u + 4*c + 1 = -9, 5*c = -4*u - z. Suppose 0 = 5*v - 10, 137 = -2*d + 5*d - u*v. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 16*b**3 - 2*b**2 + 4*b**2 - 8*b**3 as h + a*b**3 + y*b + f*b**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 210*((-9)\/(-6) + -1). Suppose v - 6*v = -z. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111111110 - 10?\nAnswer: 1100111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12 + 20270)\/14 + -3 + 2 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-9))\/t*t**(-6)\/t)\/(t\/(t*t*t**2))**(-38) assuming t is positive.\nAnswer: t**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 283*b**2 - 109*b**2 - 74*b**2.\nAnswer: 105*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -26*v**2 + 2*v + 49. Let d(n) = -9*n**2 + n + 17. Let a(y) = -6*c(y) + 17*d(y). Let x(q) = -q**2 - 2*q + 2. Give 2*a(b) + 5*x(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/36801 + 73616\/257607. Let y = 1.97 - -0.03. Which is the closest to s? (a) -3 (b) 6 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f**3 - f**2 + 5*f - 1. Let q be o(2). Let b = -89 + q. Which is bigger: b or -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from bbqbbhbblqblbbbll.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 1. Let y(d) = -d. Let h = -113 + 110. Determine h*q(a) - 2*y(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/(-20) + (-3)\/(-12). Suppose -m*i + 0*k = -k, -i + 4*k + 7 = 0. Let j = i + 1. Sort j, -3, -4 in increasing order.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-2\/3)\/q))**(2\/23)*(q**0)**49*(q\/(q*q**(-2\/9)\/q*q)*q**6)\/(q*q*q**(1\/4)*q*q*q)**36 assuming q is positive.\nAnswer: q**(-37787\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*x**2 - 122*x**2 + 245*x**2.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**2 - 2121750*n - 464423445 = 0.\nAnswer: -424131, -219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10}. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 32*c**2 + 7. Let r(z) = 2 + 5 + 294518*z**2 - 2 - 294497*z**2. Calculate 5*d(u) - 7*r(u).\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 13. What is the remainder when 8 is divided by (h - 5)*-5*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvxjaaaxxxjajxjnjax. What is prob of sequence xj?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + -2 + 6)*1117. Let z = s - 1570. Round z to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, l: 5}. Give prob of picking 3 s and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*m - 234 = -d, 0 = 4*d - 3*m - 229. Let z = 54 + -33. What is the remainder when d is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-11)*(-5)\/10.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -31. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {a: 4, r: 6, m: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -28, -1\/2, 5, -2\/5, -1, -3, 0.03?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 + 4*t + 9. Let b be 6*-15*5\/(-45). Suppose 8 = s + 5*p, 0 = 4*s + 8*p - b*p + 34. What is the tens digit of n(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -11, -0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 12 = 5*v. Let o = 42 - 4. What is the smallest common multiple of v and o?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/2533 and -67\/1777272.\nAnswer: 30213624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 7*h - 52 = 0. Suppose -18*i = -h*i - 2885. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/354452 and -99\/708904?\nAnswer: 708904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -0.3, -28609, 0.3?\nAnswer: -28609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, o: 4}. What is prob of sequence ox?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*z + 233 = 0, -i = 2*z - 5*z - 133. Let d = i + -68. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-54)*(12\/(-8))\/(-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(90) + sqrt(90)*-1))\/sqrt(6))\/(-2*sqrt(21)\/sqrt(7)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1870*n. Let k(j) = -4*j. What is a(k(z))?\nAnswer: -7480*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*l - 29304 = -898*l for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 54.7. Let r = 1.3 + v. What is the smallest value in 4, 0, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*m = -6132, -2*m + 1265 = r - 791. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x + 106. Let t be i(34). Let w be -4*6\/t*4\/(-66). Solve 0 - 6\/11*c**2 + w*c - 24\/11*c**3 - 14\/11*c**4 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 5310 = 7*v. Let z be (-1)\/(-5) + v\/(-25) + -12. Determine t, given that 2\/11*t - 4\/11*t**4 + z + 4\/11*t**2 + 0*t**3 - 2\/11*t**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1319 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**1*u**(-1)*(u**(-1)*u)**(-25) assuming u is positive.\nAnswer: 1\/u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*z - 0 + 5, 5*z + 33 = 4*j. Let w be (j + 6)\/4 - -1448. Round w to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/2)\/((-178)\/356).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 158598765 to the power of 1\/2, to the nearest integer?\nAnswer: 12594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 2*g + 8. Let i(a) = -3*a**2 - 4*a + 15. Let p(x) = -3*i(x) + 5*s(x). Is p(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 62.\nAnswer: -17\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t + 43*t = -234 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 55*x + 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/26172 and 73\/4?\nAnswer: 26172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 + (2 - 5) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 413*p - 28. Let t = -21 - -24. Let x(b) = -46*b + 3. Let v(n) = t*l(n) + 28*x(n). Let h(i) be the first derivative of -i**2 + 88. Give h(v(c)).\nAnswer: 98*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 68 = -2*c, 4*c + 5*y = -60 - 32. Calculate the remainder when 47 is divided by ((-8)\/3)\/(c\/126).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + t + t + t - 3*t + 3*t + (12 - 7 + 7)*(t + 3*t - 3*t))*(-32*t**2 + 32*t**2 - 20*t**3).\nAnswer: -220*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Let g(i) = 7*i - 7740. Calculate q(g(k)).\nAnswer: -7*k + 7740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 397901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/9)*k)\/k**11)\/(k*k\/((k*k**(-1))\/k))**(10\/9) assuming k is positive.\nAnswer: k**(-110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -1216 + 3*y + 1216. Let d(h) = 2*h - h + 0*h. Determine l(d(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1215*r**3 + 1718*r**3 + 491*r**3.\nAnswer: 3424*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + -8)*1*(-91)\/2. Suppose 6*q - q - 4*y = 178, -a = -2*q - 5*y. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/22)\/((-75)\/(-9625)*5)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -36. Let u = -20 - -34. What is the greatest common factor of u and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**(-22\/7)\/((l\/l**(-19\/2))\/(l\/(l*l\/(l\/(l**(-15)*l*l))*l))))**25 assuming l is positive.\nAnswer: l**(2725\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s - 18. Suppose -s = -6*v + 9. Suppose 7 = n - v*u, 0 = -n + u + 1 + 2. Solve 0 = 5*c + 4 + n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -9, -1\/4, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48118373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 51 - 29 = 0. Suppose 0 = -2*y + b, 5*y - 70 - 40 = k. Let a = k + 139. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4334?\nAnswer: 2, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7 and -3002604?\nAnswer: -5104426.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 p when three letters picked without replacement from vzmpzpz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**5 + 276*j**4 - 8370*j**3 + 80724*j**2 + 89373*j.\nAnswer: -3*j*(j - 31)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mppm when four letters picked without replacement from {p: 12, m: 6}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 110?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 6 - 46 = 0. Let w be -3 + 2\/1*(-1851 - h). Let b = w + 5902. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.7992 millilitres to litres.\nAnswer: 0.0877992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 5*o + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**5 - 2*j**4 - 9*j**3 + 7*j**2 + 8*j. Let d(t) = -3*t**5 + 5*t**4 + 17*t**3 - 13*t**2 - 16*t. Let o(a) = -3*d(a) - 5*r(a). Factor o(y).\nAnswer: -y*(y - 1)*(y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125*b - 7 + 223*b - 33*b)*(b**4 - 4*b**4 + 4*b**4).\nAnswer: 65*b**5 - 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 611.61758 and 40687?\nAnswer: 40075.38242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -3 - ((-12 - -25) + -36 + 72)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.745 + -0.298. Round j to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -4 (c) 3228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.438 - -233.538. Let o = u + -221. Let s = -10 + o. What is the second smallest value in 3, -3\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:52 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 2*t**2. Let g be c(-2). Suppose y - 1 = -g. Let j(z) = 11*z**3 + 2*z**2 - z. Calculate the remainder when 46 is divided by j(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -201*w + 180. List the prime factors of t(-10).\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1605 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/30*1*8. Suppose 0 = q*s - 10*s - 4. Solve -2*k = -2*z, 2*k = s*z + 3*k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.139 (b) -4\/21 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**4\/2 + 19*z**3\/3 + 7*z**2 - 12*z + 338. Let h = -2 - -12. Is 28 a factor of d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*m**3 + 8 - 8)*((-3*m + 0*m + 2*m)*(3 - 3 + 2*m) + m - m + m**2 - 1 + 2 + 29*m**2 - 10*m**2).\nAnswer: -270*m**5 - 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176400871.\nAnswer: 2069, 85259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from {y: 1, b: 2, j: 1, d: 1, w: 1, h: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/36 and 99\/16756?\nAnswer: 150804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (21 - -1) + (-75 - (-48 - -7))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5\/11 - 28*g**4\/11 - 98*g**3\/11.\nAnswer: -2*g**3*(g + 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**5\/60 - r**4\/8 - 5*r**3\/6 - 2*r**2. Let g be h(4). Let a(d) = -3*d**2 - 6*d**3 - 3*d - 1 + d + d**2. Give a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.11.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*i = 67, 2*i + 0*i = -2*b + 30. What is the highest common factor of 56 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39482493063 and -1.23?\nAnswer: 39482493061.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16 + -15)*(76 + -1). Suppose -7*f + 10*f - d = 0. Which is smaller: 24 or f?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 5*f**7\/42 + f**6\/2 - 3*f**5\/4 - 35*f**4\/12 + 5*f**3 + 6*f - 1. Factor x(a).\nAnswer: 5*a*(a - 1)**2*(a + 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.5 + -17.4456. Which is smaller: p or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o - 70. Let i be b(25). Let u = i - -216. What are the prime factors of u?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -7*o**5\/12 - 3*o**4\/2 + 2*o**2 + 25*o. Find the second derivative of p(r) wrt r.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.357 or -2\/7?\nAnswer: -3.357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - s - 25 = 4*s, 0 = -5*d - 2*s - 31. Let n(g) = -g**3 + 2*g**2 + 46*g - 16. What is the units digit of n(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/((-2)\/8). Let d be (-3)\/6*y*-46. Suppose -4*m = -10 - d. What is the greatest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002021321884 to six decimal places.\nAnswer: -0.002021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(n**(-2\/17)\/n))))\/n)\/((((n*n\/(n\/(n\/(n**(-3\/8)\/n))*n)*n)\/n)\/n)\/n)*(n*n**4)\/n**(-5) assuming n is positive.\nAnswer: n**(1461\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -2\/9, -4 in decreasing order.\nAnswer: 55, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 16*a + 1. Let b(g) = -65*g - 4. Let p(t) = -2*b(t) - 9*d(t). What is the remainder when p(-3) is divided by (-19)\/(-2) + 6\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 695 = 19*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/71 in 4\/3, 0.4, 5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -n - 4*a, 2*n + a = -0*a - 6. Let u = 4097\/5 - 819. What is the third biggest value in u, 2\/7, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547040346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 7) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 3 + 17 = 5*d + 5 + 3, -3*d - 3*n = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5468112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 3124*g + 34240. Determine y(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155355, -310731, -466107, -621483?\nAnswer: -776859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-15))\/(0 + 4\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4230*c + 60379 + 269691 = -6694*c - 1771*c for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*i + 22, -3 = -2*w + 5*i + 28. Suppose w*j + 1 - 25 = 0. Is 647\/((1\/j)\/((-3)\/(-9))) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111101100001110010100 - 11010?\nAnswer: -101111101100001110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/20 + (-9 - (-19)\/2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 215 - 2172. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, m: 7}. Give prob of picking 2 m and 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.408 + -0.008. Let y = -0.4 + l. Let h = -57 - -287\/5. Which is the biggest value? (a) -1\/2 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 74) + 0 - (-1426 + 1396).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 11*g**2 + 7*g + 4*g**2)*(-6 - 8*g**3 + 6).\nAnswer: -120*g**5 - 16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504279564?\nAnswer: 2, 3, 647, 64951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(88)*1)\/sqrt(8))**2 + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7088 + -7092. What is the nearest to -0.1 in 8, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31*-381\nAnswer: 11811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 193228 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10931402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(4\/11)*r*r\/r**(-1\/15))**23 assuming r is positive.\nAnswer: r**(13018\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2787913 - 219?\nAnswer: 2787694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 2, f: 1, j: 2}. What is prob of sequence jq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j - 1. Let s(o) = 4*o + 1. Let a be 1\/(-1 + 18\/21). Let y(p) = a*q(p) - 5*s(p). What is y(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.982 - -0.444. Let d = -0.5 - u. Let f = d + -0.438. Which is the second smallest value? (a) -5 (b) f (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3974 - -7404. Suppose 4*q - g = -p, q - 2847 = 5*p - 4*p. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnlf when four letters picked without replacement from {v: 1, p: 10, l: 1, m: 1, n: 5, f: 1}?\nAnswer: 5\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -5. Let n = -0.061 + -0.139. Let v be (-1)\/(1*(1 + 0)). Sort v, s, n in descending order.\nAnswer: s, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 32 - 14. What is the lowest common multiple of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2719 - 2.0842105?\nAnswer: -2721.0842105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*p + 4*p. Suppose 5*o - 2*a - 5 = p, -2*o = -3*a + 1. Let j(l) = l**3 - 4*l**2 + 3*l + 3. What is the units digit of j(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 28226*w**4 - 3*w + 28190*w**4)*(4 + 4 - 5)*(w + 4*w - 3*w).\nAnswer: -216*w**5 - 18*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*i - 6057*i = 174220 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 584 = 2*l, 0*b + 3*l - 609 = -2*b. Suppose 3*f - 4*f + b = -2*s, 3*f - 883 = 2*s. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/141354?\nAnswer: -1\/141354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4260596ug to kilograms.\nAnswer: 0.0000000004260596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: aaa2 (base 12) to base 10\nAnswer: 18842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -8. Let y(o) = 3 - 2 + 0 - 4*o + 4*o**2 - 5*o**2. What is y(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -23684 in ascending order.\nAnswer: -23684, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 166344.6955 to the nearest one hundred.\nAnswer: 166300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i - 195*i**2 + 2*i + 179*i**2 - 10*i.\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-270)\/(-12))\/15*(-280)\/(-6). Let y be ((-315)\/42)\/((-6)\/140). What is the highest common factor of y and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - k - 3 = 0, 3*a + 12 = a - 4*k. Let c be 66\/10 - (-6)\/15. Suppose b + 0*b - c = a. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-200)\/(-11) - 16\/88. Suppose 4*w - 5*b - f = 15, 26 = 3*w - 4*b. Let o(g) = 5*g**2. Let k be o(-1). Put k, 3, w in decreasing order.\nAnswer: k, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -10. What is the closest to -1 in m, 5\/4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -336*y + 339*y + 7, -12*m = 4*y + 68 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -10. Let a be 2*-25*(-4)\/n. Let s be a\/5*6\/(-10). Solve 0 = -x - s*d - 1, x - 15 = 2*d + 3*d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24563056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-9 - (19 - (10 + 4)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2572*n**3 + 101*n**2 - 5*n + 16. Let v(l) = 1286*l**3 - 52*l**2 + 3*l - 8. Let j(x) = -3*m(x) - 5*v(x). Find the third derivative of j(a) wrt a.\nAnswer: 7716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 14*u**2 + 43*u + 1036. Is p(-75) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -2, -5, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**3 + 34443*o**2 - 9124338*o - 27682920 = 0.\nAnswer: -11740, -3, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**7*n*n**0*n**(-2\/9)*n**(2\/27)*n*n)**42 assuming n is positive.\nAnswer: n**(4102\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.04249 or -1305?\nAnswer: 0.04249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5375.01 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1281.3, -1, -30404?\nAnswer: -30404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20*(-9)\/(-64260)*51\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 10:31 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*r**4 - 11*r**2 + r**4 - 2*r**4 wrt r.\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64 + 4*y**5 - 8*y**4 - 64 + 4*y**3.\nAnswer: 4*y**3*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r, -3*r + 5 = k + 4. Calculate the remainder when 24 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20 - 8)*(-6)\/8. Let s = u + 19. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 6*j**3 + 9*j**2 + 4*j.\nAnswer: j*(j + 1)**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 952574 to the nearest 10000.\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/4)\/(4\/(-200)*5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347120957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(704)*4)**2 - sqrt(704).\nAnswer: -8*sqrt(11) + 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 + -375 + 1856\/2 is divided by 332?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*y**2 + 1 + y + 6*y**3 - 57*y**2 as k + z*y + p*y**2 + g*y**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.544528 millimeters in micrometers?\nAnswer: 7544.528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000120121220111 + 12?\nAnswer: -2000120121220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2097326*a - 6291979*a + 2097320*a + 2097331*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/36 and -31\/996.\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 565*q - 48*q**4 + 5*q**2 - 566*q - 2*q**2 in the form j*q**4 + s + y*q**2 + a*q**3 + k*q and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59892 and 2961089?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -4*f - 57. Suppose 0 = -4*k + 3*r + 412, -5*r = -2*r. What is the remainder when k is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6*f = 2*f + 16, 10 = 3*u + 5*f. Put 1, 38, u, 6 in increasing order.\nAnswer: 1, u, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*q - 70 = 6, -2*g + 5*q = -35. Let b = -18 + g. Let h be (-3)\/(5\/(-2) - -1). Solve -h*y + 0 - b = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/10 - 3\/(-2). Which is smaller: 8\/7 or i?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90105670283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 11b0?\nAnswer: 11b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 4. Let l be x(5). Let q(k) be the first derivative of -2*k**3 - l + 3\/2*k**4 + k**2 + 0*k - 2\/5*k**5. Suppose q(p) = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 10. Let p be n(2). What is the smallest value in 0.2, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k**2. Let g(b) = 0 - b + 0 + 0. What is g(c(r))?\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - w**2 + 3. Let c = 6 - 6. Let d be l(c). Suppose 7*y = 4*y + d*p, 2*y - 4 = p. Let u(r) = r. What is u(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. Calculate the least common multiple of 358 and n.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178212 is divided by 89068?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13607371423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 5:56 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaarraaaaapar. What is prob of picking 1 r, 1 p, and 2 a?\nAnswer: 117\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 10:06 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2 - 74*y + 158. Determine c(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 910 and 650.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 3*l - 1\/12*l**6 + 0*l**2 + 1\/5*l**5 - 1\/24*l**4 - 1\/6*l**3 + 0. Determine a, given that q(a) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 4 = -d, 67 = -2*o + d + 66 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -900, -1827, -2882, -4131, -5640, -7475, -9702?\nAnswer: -12387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853286 is divided by 2426.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**5 + 8*n**4 - 7*n**3 - 6*n**2 + 2*n. Let s(v) = 15*v**5 - 39*v**4 + 35*v**3 + 31*v**2 - 9*v. Let w(d) = -11*f(d) - 2*s(d). Factor w(b).\nAnswer: b*(b - 2)*(b - 1)**2*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 4*j - 2, -2 = -2*d - 42*j + 44*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5754.66832 rounded to the nearest ten?\nAnswer: -5750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (57 - 17 - 56) + -6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/2381 + 154773\/9524. What is the common denominator of -37\/20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(25\/(-20))*125\/600*50\/(-35).\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 223?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -325 - -527. Let p = -197 + n. Solve 2*a + p*m = -18, -m + 2 - 1 = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-309)\/4*17\/((-102)\/16)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 20*t - 79. Let l be c(-6). Suppose -4*s - 548 = -2*f - 2548, s - 482 = l*f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -310402.6187 + 310359. Let g = 81.6353 + i. Let d = 38 - g. Round d to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75891, 159254, 242617?\nAnswer: 325980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 7*s**2 + 5*s - 12. Let y be b(-6). Let k be -2 - y - 14*-1. What is the greatest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) -31\/8 (b) 119 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12*r**3 - 3*r - 5. What is z(-2)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3423\/2282*42\/36.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-880)\/308)\/(((-144)\/20)\/(-6)*25\/5).\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -38*n**3 + n**2 - n - 1. Let k be z(-1). Suppose 7*m - 104 = 3*m. Calculate the highest common divisor of k and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16193*w**5 + w**4 + 2529*w**2 + 1.\nAnswer: -971580*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 1982125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 8:11 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqzq. Give prob of sequence cq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (50*q**2 - 4*q + 66*q**2 - 68*q**2)*(622*q - 313*q - 313*q + 2) in the form m*q**2 + n*q + h + s*q**3 and give m.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 5 - 1\/3*p**3 - 10*p**2 - 20*p. Let o be n(-19). Which is the smallest value? (a) o (b) -4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/63 + 186\/14. Let t = 15 - d. What is the first derivative of 24*f**2 - 7*f**2 + 5*f**2 + 12 - 9*f**t wrt f?\nAnswer: 26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + sqrt(1584) + 4)*1.\nAnswer: 4 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 76, 103, 140, 187, 244?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + -27 - (-469)\/67?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3599, -7200, -10801, -14402, -18003?\n\"Answer: -3601*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from qssqqqsqssqsqsqgsqq?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002851 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2075172*k*o - 328*k + 4246 with respect to o.\nAnswer: -2075172*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10 = 0, -4*k = -7*k - u + 2750. What are the prime factors of k?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/605 and 6987\/(-238)*(-147)\/(-12474).\nAnswer: 21780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.92 + -0.08. Let h = 16.23 + -16.03. What is the closest to h in p, -2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2781402797 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45600 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jfffjfjjjf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 - 120. What is the common denominator of 89\/44 and (15\/12)\/(i\/5)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 (base 10) in base 3?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 411632 divided by -2\nAnswer: -205816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.5763049 rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71255.\nAnswer: 5, 14251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2 + 5*i + 17. Give g(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80\/3 - 406\/15. Let n = -0.8199 - 0.1801. Which is the second biggest value? (a) -5 (b) n (c) z (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3242, 4, -0.1, 1\/307, -16 in ascending order.\nAnswer: -16, -0.1, 1\/307, 0.2, 4, 3242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, n: 1, s: 2, y: 4, e: 1}. What is prob of sequence yesk?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 11999*a - 131880. Give z(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*k + 146*k + 19*h + 16 = 0, 3*k + 7 = 2*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 10. Let g be a(-5). Suppose -4*p - 71 = 3*y - 4*y, -2*p - 8 = 0. Calculate the highest common factor of g and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 36*y + 1 - 1 as j*y + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - 9*m**4 - m + 2*m**4 + 4*m**2 to j + x*m**4 + d*m + i*m**2 + k*m**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 14*d + 35. Let y be t(12). Let x be (10\/6)\/(y\/(-33)). Which is smaller: x or 0.16?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*h**3 + 87*h**3 + 41*h**3)*(-1 + 1 - 2*h).\nAnswer: -218*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-2)*(350 - 37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -121?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**11*w\/w**(-4))\/(w*w**(-2\/19)*w**(5\/6)\/w) assuming w is positive.\nAnswer: w**(1741\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1199 or -1?\nAnswer: 1199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + -7)\/(12\/120). Solve d*i = 14*i - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/7)*v)\/v**(-19\/5) assuming v is positive.\nAnswer: v**(138\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6}. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1514 + -670. What are the prime factors of q?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 4:42 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5085767 is divided by 847625?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-44)\/(((j**(3\/7)*j)\/j)\/j**8) assuming j is positive.\nAnswer: j**(361\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 6*w + 570. Suppose d = -3*j + 597, -5*j = -5*d - 425 - w. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-1 - 44\/(-30). Let f = -79\/105 + l. Let h = 0.01 - 0.01. Which is the second biggest value? (a) h (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*g - 356 + 356)*(-6 + 10 + 1) - g + 10 - 10.\nAnswer: -356*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123003 + 176003. Round g to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19612 is divided by 81.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -72 - -92 - 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:06 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 12*x**4 + 36992*x**3 + 5896084*x**2 + 284366608*x + 3386380304 = 0.\nAnswer: -2917, -74, -53\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*c**3*l - 3*c**2*l - 106*l wrt c?\nAnswer: -42*c**2*l - 6*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l + 3. Let i(p) = 2*p + 1 + 6*p - 2 + 5. Calculate -4*f(x) + 3*i(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 1:04 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 6*z**3\/5 - 8*z**2\/5 + 2*z\/5 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.771, 3, 0.15, 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**4 - k**2 + 2. Let h(u) = -105*u**4 - 18*u**2 + 8584. Let v(c) = 2*d(c) + h(c). Differentiate v(b) with respect to b.\nAnswer: -412*b**3 - 40*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11880*a**3 - 127*a**4 + 11880*a**3)*(-3*a + 2*a + 3*a + (2 + 3 - 3)*(3*a + 2*a - 3*a)).\nAnswer: -762*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 120317\/3?\nAnswer: 120317\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 9*d + 11*d - 72. Solve -3*h + 2 = -d*z + 5*z, 0 = -5*z - h + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -15. Suppose q - j*q = 32. Which is smaller: -33 or q?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (60 + -51 - (-3 - -7))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**7\/210 - 103*v**6\/24 + v**5\/60 + 1058*v**3\/3 + 80*v**2 + v. Find the third derivative of y(c) wrt c.\nAnswer: -24*c - 3090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*p + 2*p. Let a be p\/(-10) - 57\/105. Let r = a - 1\/42. Are r and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12\/7, -5, 0.3, 21, -1392?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/4 - (-19)\/38 - -18042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 21*z**2 + 261*z + 7070. Calculate u(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 872*a - 1236.\nAnswer: 872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*z - 513 + 513)*(11 - 13*z - 11) - 33*z**2 - 34*z**2 + 22*z**2.\nAnswer: 345*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h - 6, 5*l - 4*h = 8307. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3866\/21245 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -188? (a) 2 (b) 1\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + r - 5 = 0, 6 = 2*f + 5*r - r. Let o be f\/(-2)*2\/7. Let i = -2.05 - -0.05. Put o, i, -0.4 in increasing order.\nAnswer: i, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b + 0 + 0)*(2*b - 3*b + 4*b) + (3*b**2 - 2*b**2 + 0*b**2)*(-3 + 3 + 4))*(-3 + 2 + 3).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12217)\/(-95) + (2\/5)\/1. Calculate the remainder when 6 is divided by (60\/54)\/5 + b\/27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*k - 651 + 841 = 3*w + 3604, k = -0*w - 3*w + 54 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010111111 (base 2) in base 6?\nAnswer: -20423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -90 - 360. Suppose -2*q = 3*q + 3*b - u, -4*b - 115 = -5*q. Calculate the highest common factor of 18 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(27)\/sqrt(3)*6 + sqrt(9)))\/(sqrt(18)\/(sqrt(12)\/sqrt(2))*2).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -89*y**5\/5 - 13*y**4\/4 + 2*y**3\/3 - 158*y + 986. Find the third derivative of z(w) wrt w.\nAnswer: -2136*w - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 706 + -700. Solve h = -m*h - 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -195a + -71081?\nAnswer: -72a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 + 2*p**2 - 3 + 0*p**2.\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 96\/14 + (-7)\/(-49). Factor 0*u + u**2 + 14*u**2 + h*u + 2*u.\nAnswer: 3*u*(5*u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - l - 168 - 37*l**3 + l.\nAnswer: -37*l**3 - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -360*q**2 + 7. Let t(i) = -3*i. Give l(t(g)).\nAnswer: -3240*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkvv when four letters picked without replacement from {r: 5, q: 2, k: 3, v: 1, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/5 - 317*v**3\/5 + 316*v**2\/5.\nAnswer: v**2*(v - 316)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.042 + 0.358. Let p = 3.16 + -6.2. Let l = p + 0.04. What is the third biggest value in -0.4, l, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 2*i**2 + 2*i**2)*(0 - i**2 + 0) + (2*i**3 + 13*i**3 + 2*i**3)*(-23*i - 8*i**2 + 23*i).\nAnswer: -138*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o**2 - 5*o + 3. Let x(b) = 9*b**2 - 6*b + 2. Suppose 0 = -4*g - 13 + 1. Let r(a) = g*x(a) + 2*t(a). Find the second derivative of r(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i + 4. Let j(a) = 11*a + 11. Let t(u) = -8*d(u) + 3*j(u). Let h be t(-5). Let m(z) = 26*z - 282. Let y be m(11). Put -5, y, h in descending order.\nAnswer: y, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -8\/7, 0.11, -0.01, 1 in decreasing order.\nAnswer: 11, 1, 0.11, 0, -0.01, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 6*g**2 - g + 6. Calculate y(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.053 from -222816553.\nAnswer: -222816557.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -38*n + 173. List the prime factors of v(-33).\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(3726\/12))\/(6\/918)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1496 + -709. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60*y**4 + 32*y**2 - 115784 wrt y?\nAnswer: -240*y**3 + 64*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by 16?\nAnswer: 65\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 0*o**2 + 3*o**2 + 0*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, n: 1, z: 2, u: 3}. Give prob of sequence nuzz.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 18. Let b = 3 + x. Suppose 4*g + 2*i + 1 = 5, -4*i = 16. Calculate the highest common divisor of g and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*l - 4*x + 24 = 0, 4*x = 2*l + 4. Suppose -l*k = 27*k. Solve -a + k*a = 3*m - 2, -3 = 2*a - m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-7)\/(-2) - (-15)\/38?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537 times -4?\nAnswer: -2148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(468).\nAnswer: -4 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30*((-55)\/15 + 4). Let g be 30\/45 + 298\/(-6). Let z = 31 - g. Calculate the greatest common factor of z and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5697 - -0.0157. Round s to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -5, -8098.\nAnswer: -8098, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162) + -2)**2 - (sqrt(20)\/(sqrt(30)\/sqrt(3)*1))**2.\nAnswer: -18*sqrt(2) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**3 + 6*u**2 + 5*u - 2. Is k(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*p - 16. Suppose 5*q + 68 = p*q. Let g = -68 + q. Solve g = 4*m + 3*k - 5, -3*m + 4*m + 10 = -3*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t + 100. Let h be i(-10). Suppose -14*w = -15*w + h. What is the remainder when 77 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 5724*j - 11464.\nAnswer: 4*(j - 2)*(j + 1433)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58205534?\nAnswer: 2, 29102767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + 6*p)*(3 + 1 - 5)*(-p - p + p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 31.06918 minutes?\nAnswer: 1864150800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28861*3\nAnswer: 86583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w - 4. Let p(j) = j - 1. Let x(v) = v**2 + v - 9. Let t be x(-4). Suppose -2*y + t = 2*s + y, -4*s + 3*y = 39. Determine s*p(f) + n(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 68227768?\nAnswer: -68227760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s + 2*s**2 - 8*s + 16*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*1\/((-2)\/(-30)). Let j(q) = q**2 - 15*q + 15. Let i be j(s). Let r be (-5)\/(i\/6) - -6. Let n(y) = -2*y + 6. Give n(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 less than 267089?\nAnswer: 267098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 30*q + 28. Let d be t(1). Let b(m) = m + 2341 - 2341. Let n(u) = 5*u + 3. Give d*n(z) + 6*b(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251365 (base 8) in base 7?\nAnswer: -2652152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8462168 and 7404397?\nAnswer: 59235176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15314454 is divided by 89558.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*y - 17 - 229, 64 = -y - u. Put 3, y, -3, -7 in ascending order.\nAnswer: y, -7, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/33)*k*k*k**(1\/35) assuming k is positive.\nAnswer: k**(2308\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12093343?\nAnswer: 577, 20959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11*x**4 - 34*x**3 + 137*x**2 - 5. Let v(d) = -9*d**4 + 33*d**3 - 136*d**2 + 4. Let h(p) = -5*v(p) - 4*w(p). Find the third derivative of h(l) wrt l.\nAnswer: 24*l - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 438*w - 274. Is v(10) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*w + 150*w - 2260 = 0. Calculate the remainder when 6440 is divided by w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1011100010000011110111?\nAnswer: -1011100010000011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 542 - -59?\nAnswer: 59b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87770, 175548, 263326?\nAnswer: 351104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1663*z**2 - 1063*z**2 + 4182*z**2 + 381*z**2 - 3774 - 1677 wrt z.\nAnswer: 10326*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6*n + 25 = n, -3 = -n. Suppose 2*d - w = -0*d. Suppose d*g - 2*f = f + 57, 2*f + 46 = 4*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 20 + 4 = 0. Let i = h + 5. Put 0, -5, i in increasing order.\nAnswer: -5, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (255541 - 11*p - 255574 - 2*p)*(-2*p**4 + 5*p**4 - p**4).\nAnswer: -26*p**5 - 66*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.6 times 4.9?\nAnswer: 782.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 10 - 1)*((3*l + 0*l - 2*l)*(1 - 1 + 1) + (-2 - 5 + 1)*(-3*l - 5 + 5)).\nAnswer: -133*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 12:41 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4974 + 5?\nAnswer: -496d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 267 + -44. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 4) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 190911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -353164 or 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - a**2 + 2 - 6*a + 6*a + 4*a. Let w be f(8). Suppose 46 = m - w. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122692393, -122692392, -122692391, -122692390, -122692389?\nAnswer: -122692388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -16168?\nAnswer: 48504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -292, -294, -296, -298?\n\"Answer: -2*f - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 610 divided by 329\nAnswer: 610\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 48*n - 77. Let l(f) = -47*f + 75. Let t(o) = 4*b(o) + 5*l(o). Differentiate t(a) with respect to a.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d - 3. Calculate a(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 697932*f**2 - 121796111133*f + 6574954988934.\nAnswer: -(f - 348939)**2*(f - 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 smaller than 14112\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 326 or 328?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 - 22*m**2 + 5*m**3 + 23 - 47*m**2 + 89*m**2 - m**3. Calculate f(-20).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:21 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + d. Let t(f) = 13*f**2 + 11*f. Let q(o) = -2*t(o) + 22*y(o). Let v(l) = -11*l**2. Determine v(q(z)).\nAnswer: -176*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - (58 + -30)) + 7 - -7.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235 + 902*u**2 - 702 + 234 + 233.\nAnswer: 902*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7869*o**2 + 2 - 7902*o**2 + 0*o**3 + 2*o - o**3 to the form a*o**2 + k*o + i*o**3 + m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3121\/31143 + 78\/1483. Which is the closest to 0? (a) 0.07 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-15)))**(-3\/22)*(i\/(i\/(i*i*(i\/(i\/(i\/(((((i*i**(12\/11))\/i)\/i)\/i)\/i)*i)))\/i)))\/(i**(-26)\/i) assuming i is positive.\nAnswer: i**(657\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 164*b - 311. Let s be m(15). Let n = -1122 + s. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17824, -17822, -17820, -17818, -17816?\nAnswer: -17814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 321538, 643072, 964606, 1286140, 1607674, 1929208?\n\"Answer: 321534*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 108.\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33\/22*(-6538)\/3. Is b\/(-8) - (-27)\/(-144)*-2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 530 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**6\/3 - 4*t**5\/5 + t**4 + 8*t**3\/3 - t**2 - 4*t - 8. Let f(r) = 0. Calculate r.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3)*285\/76. Let p = o - 5. What is the closest to 2\/5 in p, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11032799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 25 = -5*x, 6*x + 20 = 5*k + 2*x. Suppose 4*m - 36 = -k*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22308001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 2. Let z = -15 - l. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/14176 and 27\/15272.\nAnswer: 27061984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -12. Let c be (9\/(-12))\/(1 - 10\/t). Solve -2*z = c*a - 8, 2*z - 2*a - 8 = -0*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156977?\nAnswer: 29, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpqqy. What is prob of picking 1 p and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2 - 0)*2. Let f(o) = o - 1. Let p(u) = u + 8 - 4 - 5. Calculate t*f(j) + p(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b*y**2 + 11*b*y + 2*y**2 + 4 with respect to b.\nAnswer: -4*y**2 + 11*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -830763296\/17 bigger than -48868430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119847 and 3981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -112662 (base 7) to base 5\nAnswer: -1121412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -2*b**2 - 3 + 0*b + 5\/96*b**4 + 1\/240*b**5 + 1\/6*b**3. What is t in i(t) = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 394 + 506. Which is smaller: f or 151?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1837092 divided by -306182?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + 5*j = -25, -2*y - 25 = 5*j. Let q(k) = 3*k + 47. Let u be q(y). Suppose 3*x + u = 2*m, -5*m - 4*x = -2*m - 28. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**8\/4032 + 11*k**7\/168 + 121*k**6\/16 - 19*k**5\/60 - k**2 + 86. Let a(c) be the third derivative of f(c). Factor a(h).\nAnswer: 5*(h + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 2116\/(-140) - (-2)\/(-7). Let d = -562\/55 - q. Let u = -134 + 940\/7. What is the biggest value in 0.3, d, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvnlvnnnnjknng. What is prob of picking 1 n, 1 k, and 2 v?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 428*o - 5165. Calculate b(4).\nAnswer: -3453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01876442*-0.1.\nAnswer: -0.001876442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 1\/9114, -1, -2, 37, -1\/8 in decreasing order.\nAnswer: 37, 1\/9114, -1\/8, -2\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152974 is divided by 55.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 344*b - 682*b + 335*b - 22 = 0, -b + 21 = m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + c - 279138, -5*a - 4*c + 66240 = -398983. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*u**3\/6 - u**2\/2.\nAnswer: u**2*(7*u - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670976490?\nAnswer: 2, 3, 5, 431, 51893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1071 + 2383. Let c be (y\/(-20))\/(4\/(-20)). Calculate the highest common divisor of c and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - l = -21, 12*d = 13*d + 4*l + 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4 + 1\/4*j**2 - 1\/4*j**3 + 5\/4*j.\nAnswer: -(j - 3)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 160\/35 + (-4)\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 735341 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvwsrbr. What is prob of picking 1 w and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -18279030 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -3, 0.12, -8 in increasing order.\nAnswer: -8, -3, -1\/4, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7657996109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Let i = 27.95 - 27.85. Which is the nearest to 0? (a) i (b) -1\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 4, -1\/9, -12.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1223 = -5*w - 8*s + 9*s, 0 = 5*w - 3*s - 1229. Let m be 4 - 63\/105*w\/18. Which is smaller: -4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - j - 3*j)*(-4*j - 12*j + 7*j) + 9*j**2 - 2*j**2 - 3*j**2 + (-5*j + 2*j + j)*(-j + 1 - 1).\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - -0.76. Let g = -0.7 + t. Let i be (4\/6)\/(44\/(-12)). What is the second biggest value in g, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1820.82920074 + 1821.2992. Let g = x + -0.47. Round g to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(432) + -3 + sqrt(432) + -2 + 0)**2.\nAnswer: -288*sqrt(3) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejeeeeeeeeeexee. Give prob of sequence jee.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -249 - -252. Let l(p) = 4*p**2 - 17*p + 58. Is l(a) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1723*y. Let t(l) = -2*l**2. Calculate t(z(v)).\nAnswer: -5937458*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0276378mm to meters.\nAnswer: 0.0000276378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**3\/6 + 69*d**2 - 32*d + 1. List the prime factors of v(-8).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(196\/8))\/(2\/(-2))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -128945 + 902618\/7. Suppose 11\/7*v + 6\/7 + 3\/7*v**2 - 1\/7*v**4 - n*v**3 = 0. Calculate v.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26473960 rounded to the nearest 100000?\nAnswer: -26500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267972.93 hours to days.\nAnswer: 11165.53875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 36. Suppose k = -2*k - 12. Sort k, 1\/4, o in descending order.\nAnswer: 1\/4, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l = 17*l - 19*l - 42*l + 2852 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = k, m + k - 8 = -k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = -11*k + 3024. Let t be 15\/(-10) + k\/64. Let v be (2\/42)\/(3\/3). Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 - 4*v**2 - 448*v + 61. What is f(-14)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.56 + 0.06. Let k = 0.1 + y. Let n = -1.36 - k. Round n to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 44, 1\/4 in decreasing order.\nAnswer: 44, 0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 11 = -2*f - q, 4*f + 5*q = 3. Suppose -f*x - 5 + 50 = 3*d, 0 = 5*x. Suppose -410 - d = -5*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2194 - 5654.43204?\nAnswer: -3460.43204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2*s - 141 - 219, -5*s = t - 192. Calculate the highest common factor of t and 195.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = -3*t, -r - 2*r + t = -3. Let j(k) = -k**2 - k. Let q be j(r). Suppose 3*a - 7 - 8 = q. What is the greatest common factor of a and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b + 47. Let c be q(10). Solve -4*z - 4 - c = 3*h, -8 = 4*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 126*o**2 + 11*o - 19. Let u(p) = -124*p**2 - 10*p + 17. Let w(y) = -8*t(y) - 9*u(y). Give w(1).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017859 to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -9028 at least as big as -9028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/48 and -89\/88.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**3 - 15*a + 9. Let n(u) = u**3 + 5 + u - 2 - 4. Let b(x) = -15*n(x) - y(x). Find the first derivative of b(f) wrt f.\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(396) + -1 - sqrt(396))**2 - (-1 + sqrt(539))))*-1.\nAnswer: -5 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*l + 396 - 1881 = 0. What is the remainder when 54 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685836.3 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -402277, -402297, -402339, -402415, -402537, -402717?\n\"Answer: -2*i**3 + i**2 - 9*i - 402267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(3) + sqrt(27)*-3)**2.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 126\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 278, -39.\nAnswer: -39, 0, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2. Let h(i) be the third derivative of i**4\/24 + i**3\/3 - 6*i**2. Let a(o) = 3*o + 5. Let q(b) = 6*a(b) - 15*h(b). Calculate s(q(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 10*q**2 + 2*q + 8. What is o(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1 + 0*w + 5*w**2 + 0*w + 2*w. Let j be c(-1). Let h(l) = -j*l**2 + 4*l**2 + 3 + l**2 + 5*l. What is h(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -95. What are the prime factors of h?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93\/10 - -49\/5. Let s be 0 + (-1)\/((-1)\/14). Let g be -1 + 0 - s\/(-18). Which is the nearest to -0.1? (a) g (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.56 - -0.74. Let g = w - 0.179999388. Round g to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100001110110011100100001 + 100?\nAnswer: 100100001110110011100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - c - 4 = -8, -5*c + 20 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lirblpipbpiiibpri. Give prob of sequence ii.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27468240, -54936482, -82404722, -109872960, -137341196?\nAnswer: -164809430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 + -33. Suppose -5*y = -5*u + 75, -16*u + 13*u - 4*y = -73. Calculate the remainder when o is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340051, -340119, -340187, -340255, -340323, -340391?\nAnswer: -340459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**2 + 1619*s + 1305. Calculate o(271).\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 131 - 0 - (3 + -6 - -6). Suppose 2*u - q = 36. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 52 - (-3762 - -3720).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 6. Let l(f) = f - 5. Give -4*d(a) + 5*l(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 41\/63 + (840\/108 - 8)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/30 and -2\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349376*q**3 - 50*q**2 + 174688*q**3 + 174694*q**3.\nAnswer: 6*q**3 - 50*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 9:41 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-24)\/c)**(2\/71))**3)**(-37) assuming c is positive.\nAnswer: c**(5550\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 2*g - 2*g + (1 - 1 - 1)*(-5*g + 3*g + 6*g))*(2*g + 0*g + 0*g)*(-11*g - 536 + 536) to b*g**3 + l + a*g + s*g**2 and give b.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*a**2 - 13 + 13)*(1 - 1 + 2).\nAnswer: 64*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-40 + -1 - -4). Let w = 47 + t. Let f = 55 + w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.840449l to millilitres.\nAnswer: 5840.449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 28*u**2 - 5*u + 60. Is o(26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 1.2. Let w = 5 - 4.6. Let h = -28646 - -28643. What is the closest to -2\/5 in b, w, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2*13\/3 - (-7)\/28 and -89\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*k - 3, 0 + 5 = -k + 5*g. Suppose -5*x + 14 + 6 = k. Solve -x*q + 0 = -12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -98807, -395192, -889165, -1580726, -2469875, -3556612?\n\"Answer: -98794*d**2 - 3*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from {a: 1, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-8) + (-180652)\/(-21888) + 2\/(-9).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3450875 and 61750?\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -10\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m + 12162 = 3*m - 4463. Is m at least -665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/9 + 18380*d**3\/9 - 2042*d**2 = 0.\nAnswer: 0, 1, 9189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8143*n**2 + 7653*n. Let z(w) = -4055*w**2 - 3827*w. Let k(v) = -3*a(v) - 5*z(v). What is the second derivative of k(o) wrt o?\nAnswer: -8308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*p - 36 - 554, -2*q = 3*p - 590. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10455150 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*x - 52 = -396*x - 316 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -111*v**2 - 143\/12*v**4 - 1\/60*v**5 + 0*v**6 + 0 + 0*v + 0*v**3 + 8\/105*v**7. What is the second derivative of k(c) wrt c?\nAnswer: 192*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 13*d - 4. Let x be u(13). Let k = 14 + x. Is (-1247)\/(-5) - 4\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12022334442 (base 5) to base 12\nAnswer: 478b413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**2 + 27*r + 61. Calculate the least common multiple of 21 and m(-4).\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854 smaller than 1854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42506797157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(98) + 5 + -1 - (-3*(sqrt(98) + 1) + sqrt(98) + (sqrt(98) - (0 + sqrt(98)) - sqrt(98)) + 1))**2*1.\nAnswer: 140*sqrt(2) + 2454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*l**3 + l**2 + 4*l - 56 wrt l.\nAnswer: -54*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**3 - 5*q + 4*q**3 + 2*q**4 - q**4 + q**4 + 1 to o + h*q**2 + z*q + y*q**4 + x*q**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*i - 13 - 9 = 6*q - 2, 8*i = 6*q + 54 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (-4 + -20)) + 53 + -2 + 5\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - 14*f - 8. Give l(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = -30. Let a be (0 + 1)*j + -3. Suppose 3*y = 12 + a. Solve c + c = -y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z. Let w(y) = 35*y + 12 - 22 + 10. Let o be w(1). Let v(m) = -16*m - 21*m + o*m. Calculate v(u(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1387\/319 or 3?\nAnswer: 1387\/319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 smaller than 1141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (2 - 3) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-9))\/(-4)*18\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90771 and 37209?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9\/l)\/l*l\/l**(-16)*l**(-16)*l*l\/(l*l**(-3\/8)) assuming l is positive.\nAnswer: l**(75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5706 is divided by 1899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -3\/2 (b) 44 (c) 4 (d) -368\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -4 - 6) + (-5 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/3, 3, 29\/3, 19 in increasing order.\nAnswer: -4, -1\/3, 3, 29\/3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 25 - (1 - -11 - (295 + -129)).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most as big as 1682609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 34. Suppose 0 = 3*s - 5 + 14. Sort 3, s, a in increasing order.\nAnswer: s, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 73. Suppose 10180 = 2*d - x*z, -14996 = -5*d - z + 10509. What is d rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4651, 0, -10 in ascending order.\nAnswer: -10, 0, 4651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.072*-0.021114\nAnswer: -0.001520208","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 + 7 - 3*w + 13*w**2 - 17*w**2 - 6*w. What is f(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492*n - 483*n - 621 = 0. Calculate the remainder when 272 is divided by n.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y + 20 = -160. Sort -2, -5, -1, y in increasing order.\nAnswer: y, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 - 2*f**5 - 22*f + 21*f + (-4 + 3 + 2)*((7*f**3 - 3*f**3 - 3*f**3)*(0 - 2*f + 0) + 0*f**4 + 7*f**4 + 39*f**4)*(-6*f + 3*f + 2*f).\nAnswer: -46*f**5 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p + 1. Let j(m) = -34*m + 6. Let d(g) = j(g) - 6*t(g). Let s(r) = -163*r. Calculate d(s(u)).\nAnswer: 652*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 4 - 6) + 3 - (-121 + 114)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11123, 10927, 10741, 10571, 10423, 10303?\nAnswer: 10217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -49) + -3 + 1 + 1 + -3824 + 3827?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/(h*h**(1\/3)*h))**(2\/25)*(h\/(h\/h**8))\/((h\/h**(1\/4)*h)\/h)*((h**(-3\/8)\/h)\/h)\/(h*h*h**(3\/4)*h) assuming h is positive.\nAnswer: h**(371\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -6*d + 2. Suppose d = -4*q - x + 3*x, -x = q - 1. Solve 2*t + 2*t + 4 = q, 2*t = 2*m - 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(605)*-2 + 5 + -4*(-1 + sqrt(605))*5)*5 + -3)**2.\nAnswer: -307340*sqrt(5) + 7336629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 11*h = 46, 43447*w + 3*h = 43443*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*h - 288*h = 2*q + 10, 5*q = -4*h - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318735564?\nAnswer: 2, 3, 7, 19, 23, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214, 201, 176, 133, 66?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g + 4. Let t be w(-3). Let u = t + 7. Suppose 2*i + i + 1 - 2 - u*i**2 = 0. What is i?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**5\/11 + 910*x**4\/11 - 96282*x**3\/11 - 1688710*x**2\/11 + 3755300*x\/11 = 0.\nAnswer: -17, 0, 2, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 16*b**2 + 70*b - 58. Calculate s(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010211200022 (base 3) in base 4?\nAnswer: 2110030232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001779496057 to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-72))\/((-1)\/1767). Suppose -815 = -3*m - 4*i + 942, m = -3*i + k. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -269*m**2 + 438*m + 910*m + 172*m - 2 wrt m.\nAnswer: -538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54965402 equal to 54965402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*a + 34, 2*g - 12 + 1 = a. Suppose 5*q = 2*q - g*q. Sort -2, q, 1, 4 in ascending order.\nAnswer: -2, q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(2*l + 4*l - 4*l) - 4*l + 0*l + 7*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from sdvwdvvsddvsiv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36024, -36010, -35996, -35982?\nAnswer: -35968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 + 0.35. Let i be ((-2)\/30)\/((-1)\/(-2)). Put -3\/2, g, i in increasing order.\nAnswer: -3\/2, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 8*v + 384 = -15*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8. Suppose m = 2*t + t - 12. Suppose 0 = 5*j + t*h - 64, 4*h - 7 = -2*j + 21. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/3 + 175*j**4\/3 - 17189*j**3\/3 - 664547*j**2\/3 - 1276832*j\/3 - 629648\/3 = 0. What is j?\nAnswer: -236, -29, -1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 9. Let f(b) = -19*b**2. Determine f(c(r)).\nAnswer: -19*r**2 + 342*r - 1539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-154)\/(-88)*2\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghzc when four letters picked without replacement from xgxgxzcxhgh?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99740*o**5 + 37568*o wrt o?\nAnswer: -1994800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 16*j**2 + 9*j + 2. Let z(u) = -6*u**2 - 3*u. Calculate -4*k(t) - 11*z(t).\nAnswer: 2*t**2 - 3*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 5*f - 5. Let y be h(-6). Let b = -1 + y. Let x = -86 - -90. Solve -12 = 3*m, 4 = -4*l - b*m - x*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -515, -445, -387, -347, -331, -345, -395?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - j = 124 + 16, 0 = t + 5*j - 52. What is the remainder when 140 is divided by t?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -10)\/((-2)\/(-143)). Let y be 2\/11 - (-74)\/q. Is 10\/3 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let m = -1\/84 + -31\/42. Sort 3, m, j, 0 in ascending order.\nAnswer: m, 0, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2973, -22777, -76191, -180021, -351073, -606153?\nAnswer: -962067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9240, 9573, 9904, 10233, 10560, 10885, 11208?\nAnswer: 11529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*c + 7920, 13200 = 21*x - 16*x - 5*c. Calculate the least common multiple of x and 660.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v - 50*v = -83*v + 697 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20515*p**4 + 2*p**3 - 42561*p**2 wrt p?\nAnswer: -492360*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.797 + -0.597. Let p be -12 - -8 - 69\/(-15). What is the nearest to -9 in p, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 21*d + 3*s + 6 = 14*d, 5*d + 13 = -4*s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 w when four letters picked without replacement from {w: 3, y: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53 * 0.06.\nAnswer: 3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -856 - -859. Sort 0, h, 124 in decreasing order.\nAnswer: 124, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 1, b: 2, v: 2, a: 1}. Give prob of sequence vb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i. Let f(b) = 1 - 8 + 566*b + 7 + 178*b. What is w(f(p))?\nAnswer: -1488*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 1471 = -477. Let h = a - -88. What is the highest common factor of 46 and h?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/16))\/g)\/g)\/g*g**(-8\/9)*g**10*(g*g**(2\/27))\/g*g assuming g is positive.\nAnswer: g**(3563\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -45*l - 94. Let n be s(-3). Suppose -3*m = -q - n, 68 = 5*m - 0*q - 2*q. Solve 3*x + 0*x = 3*o - 6, 0 = 2*x - 4*o + m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57508 by -44.\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960 + -255.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*t - 25*t + 13*t - 165 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -933254 divided by 16.\nAnswer: -466627\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*c - 14, -113 + 101 = -16*g + 8*g - 2*c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3)*j*j)**(-11)*j*(j*j**14)\/j*j**(-7))**(2\/7) assuming j is positive.\nAnswer: j**(-62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0, 1\/3, -15\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*t - 306, -2*k + 157 = -0*k + 5*t. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -m - 42 - 2, -4*m - 176 = 2*g. Let l(b) = -5*b**2 + 4*b + 3. Let s be l(3). Let r = s - m. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 1. Let z(w) = -w**3 + 7*w**2 + w - 5. Let h be z(7). What is m(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -1. Let g = f - -19. Solve n = 2*q - 0 + g, 3*q = -4*n - 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/679 and 83\/776.\nAnswer: 5432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 776, 1514, 2236, 2936, 3608, 4246, 4844, 5396?\nAnswer: 5896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*b*o**3 - 9*b - 15*o**4 - 168*o**2 wrt o.\nAnswer: 234*b - 360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*d = -50, 0 = 2*v + v + d - 34. Let s = v - 8. Let r(g) = 2*g - 2*g + s*g - g. Let h(x) = -6*x. Determine r(h(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7 or -27754928?\nAnswer: -27754928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5848784.\nAnswer: 2, 173, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -1\/6*p**3 - 3*p + p**2 + 0. Let b(r) = -5*r + 11. What is -6*b(x) + 33*w(x)?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 153115 - -1?\nAnswer: 153116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/9 + 674\/(-3). Let a be 5 - (21\/2)\/(6\/(-176)). Let n = f + a. What are the prime factors of n?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36162963 and 1?\nAnswer: 36162963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-8)*-6 + 2. Suppose 0 = -i*g - 3*g + 26048. Suppose 16563 = 7*s + g. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 3*w + 6. Let t be i(1). Sort t, -6, 20 in descending order.\nAnswer: 20, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3\/2 + 1019327*i**2\/2 - 259757392895*i\/2 + 259756373569\/2 = 0.\nAnswer: 1, 509663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -443900000 rounded to the nearest 1000000?\nAnswer: -444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 not equal to 18682.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 0*x**3 + 2*x**3 + (66 - 66 + 18*x)*(2*x**2 - 6 + 6).\nAnswer: 37*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 639889.7 years in millennia?\nAnswer: 639.8897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180199, 179875, 179329, 178555, 177547, 176299, 174805, 173059?\nAnswer: 171055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5 = 3. Let b be (-3 + 2 + 0)*10\/(-15). Factor -b*g - 2\/3*g**3 - 4\/3*g**v + 0.\nAnswer: -2*g*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (7 - 15) - (-1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6*l + 72. Suppose -36*n + l = -33*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zoozooooozozzooo. Give prob of sequence oooo.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**2 + 0*o**2 - 5*o**2 + 5*o**2 + 2*o + 5*o**2 + 21. Let h be j(5). Solve z - h = -g, -2*z - 4*g = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:37 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 5:24 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000114252598 rounded to seven decimal places?\nAnswer: -0.0001143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3505, -10890, -23197, -40426?\n\"Answer: -2461*t**2 - 2*t - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54702 divided by 6.\nAnswer: 9117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -1\/2, -49930, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-6) + 9\/2. Let c be j\/(-2) + 5 + -3. Suppose c = m + m - 14. Calculate the remainder when 20 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -76*h**3 - h**2 + 1. Let v be -3*4\/42 + 5\/(-7). Is 19 a factor of c(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7294*s**3 - 8*s**2 - 461*s + 2. Let r(n) = -4862*n**3 - 5*n**2 - 308*n + 2. Let p(y) = 5*l(y) - 8*r(y). What is the second derivative of p(f) wrt f?\nAnswer: 14556*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 27485. Let m(y) = -y. Determine m(a(d)).\nAnswer: -2*d + 27485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 479258270 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/115, -4, 8, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 3)*(-2*a + 3*a + a) - 1 - a + 1 + 5*a - 3*a - 3*a)*(-a - 2*a + 4*a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*k, 3*b = -k + 3*k - 14. Is (69\/b)\/(6\/(-32)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14918617 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -c88e?\nAnswer: c886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-128)\/24 - -5 - (-2)\/6. Let u(j) = 0*j - 2*j + j**2 + 3*j**2. Let o(t) = 5*t**2 - 3*t. Let v(l) = -3*o(l) + 4*u(l). Calculate v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 - 37. What is the smallest common multiple of 48 and d?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 2*z**2 - 3*z**2)*(247 - 247 - 18*z) + (-2*z - z + z)*(29*z**2 - 8*z**2 + 18*z**2).\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 877, 3778, 8885, 16420, 26605?\n\"Answer: 37*j**3 + 881*j**2 - j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13d3c (base 14) to base 16\nAnswer: -c062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 4*u - 15 + 2*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31170821 and 649.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - 6*o + 5*o)*(0 + 3 - 2) + (-3 + 1 - 1)*(-1 - 2*o + 1) + 1 - 1 + 2*o in the form z*o + n and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44788095?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-35)\/5)\/((-8)\/16). Suppose -37*z + b = -30*z. Solve x + z*s = 2*x - 3, -5*x + s = -24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2 + n - 4 + 4 + 1. Determine t(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -249, 0.2, 3 in decreasing order.\nAnswer: 3, 0.2, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -918007.13 to the nearest ten thousand.\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2673*z**3 + 2908.\nAnswer: -8019*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 - 48. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48434 = -3*n + 5*g - 48437, -n - 5*g + 19 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 942046.8us?\nAnswer: 942046800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 574541369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 65*z**3 - 25*z**2 - 25*z. Let k(c) = 8*c**3 - 3*c**2 - 3*c. Determine -25*k(x) + 3*l(x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.196 (b) -1 (c) 4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 6*j - 5. Let b be i(-4). Solve b*l + l + 5*f = 3, -3*f + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {x: 1, h: 3, w: 1, i: 1, t: 2, l: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 9 + 5. Let r(z) be the second derivative of 0*z**3 + 1\/12*z**4 + 0 + 3\/2*z**f + 2*z. What is the derivative of r(t) wrt t?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**3\/3 - u**2\/2 - 22*u - 1011. Calculate q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1006762321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((1*sqrt(495))\/(sqrt(275)*-3) + 5))**2.\nAnswer: -8*sqrt(5) + 504\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -698, -701, -706, -713?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(300) + 1 + sqrt(300) - sqrt(300))**2.\nAnswer: 20*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bff when three letters picked without replacement from bfgbfbgfbbgfffb?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617288 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 476851351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10\/109 + 169\/654. Let t(o) be the third derivative of 3*o**2 + 0 + 1\/8*o**4 + 0*o - l*o**3. What is t(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0337 + -31.9337. Let v = 27.9 + u. Which is the second smallest value? (a) 9\/2 (b) 5 (c) v (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 127*u**2 + 805*u + 896. Give y(-133).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*a**2*f**2*v**3 + 3*a**2*v - 2*a**2 - 10*a*f**2*v - 151*v**3 with respect to f.\nAnswer: 34*a**2*f*v**3 - 20*a*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.2, -5, -0.0216?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-40))\/(12\/(-20))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 4. Let i be k(-5). Let b be 1\/((-3)\/i) - -2. What is the third derivative of -5 + 4*n**4 + 5 - b*n**2 wrt n?\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 14 = 1. Let q = -70 - -72. Suppose -q*o + s + 8 = 0, -o + 5*s - 19 = -c. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -18*j + 12. Let i be y(-7). Let d = i - 40. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527557441 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 4 = 4*a, -3*g + 795*a - 799*a - 4 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*c**5 - 2*c**3*l**2 - 7778*c**3 - 60*c**2*l**2 + 14*c**2*l - c*l - 13*c - 11*l**2 wrt c.\nAnswer: 3600*c**2 - 12*l**2 - 46668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1070 - -3403. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -2*q**5\/55 + 12*q**4\/11 - 30*q**3\/11 + 2*q**2 + 1907. Suppose v(k) = 0. Calculate k.\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2 - -4. Sort 2\/5, k, -4.\nAnswer: -4, k, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-6)*(-2)\/3. Let n(l) = l**2 + l - 1. Let a(o) = 4*o**2 + 4. Let s(y) = y**2. Let f = -9 + 4. Let w(h) = f*s(h) + a(h). What is m*w(j) + 2*n(j)?\nAnswer: j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/13, -2\/5, -1\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 84 (b) -11 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from kqmmmmmmkmmk?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/153584 and -97\/6620.\nAnswer: 767920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*3*(-1)\/(-3). Suppose -z = -l*z + 45. Solve -2*v - z = -7*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 7*g**2 + 10*g + 3. Let p be k(-5). Put -1, p, -5 in decreasing order.\nAnswer: p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 129*q - 264 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47487722 + 89144722. Round j to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3502 (base 6) to base 11.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 34. Let z = c - 27.65. Let d = z - 3.35. Sort d, 6, 3 in ascending order.\nAnswer: d, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -7158602714290.\nAnswer: -7158602714295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q**3 + 7*q + 128*q + 13*q + 33*q**3.\nAnswer: -2*q**3 + 148*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + w**2 - 3*w**2)*(-2*w**2 + 0*w**2 + w**2) + 2*w**4 - w**4 + w**4 + 28*w**4 + 4 - 4 - 2*w**4 - w**4 + w**4.\nAnswer: 27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*m**2 + 97*m**2 + 95*m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20496?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(6\/(-2)))\/(-1). Does 3 divide -1 - -12 - -1*r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2586 = 2*v + 1018. Suppose -4*u + 4*z + v = 0, -4*u - 3*z + z + 760 = 0. Suppose -105 = r - u. Is 36 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(4*v**5 - 4*v**5 + 3*v**5) + 0*v**5 + 0*v**5 + v**5 - 8375*v + 83*v**5 + 8375*v + (2*v**3 - 4*v + 4*v)*(v**2 - v**2 - 2*v**2).\nAnswer: 74*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(252))**2 + -6*sqrt(42)\/sqrt(6).\nAnswer: 18*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 34*c**2 + 33*c - 33. Let w be m(-35). Let t(h) = -340003*h + 111. Let z be t(w). What is z rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 446a2 (base 11) to base 14\nAnswer: 19834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/20, -0.09, -0.5, -4, 4?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 40.2. Which is the closest to 2\/3? (a) f (b) -2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 2:58 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 130*i + 117*i = 242*i + 85, 13 = 4*r - 2*i + 77 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v**2 + 7*v. Let w(o) = -o - o**2 + 1265 + 2*o + o**3 - 1265. What is -p(q) + 7*w(q)?\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/3)\/k)\/k*k)**(-1\/4))**(3\/7) assuming k is positive.\nAnswer: k**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8247, -6668, -5091, -3516, -1943, -372, 1197?\n\"Answer: -f**2 + 1582*f - 9828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x + 160*x - 12*x.\nAnswer: 128*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6083.377 days in seconds?\nAnswer: 525603772.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*s, -2*s + 12 = 15*f - 13*f. Let d(g) be the first derivative of -7 - 3\/14*g**2 - 2\/7*g**s - 3\/28*g**4 + 0*g. Determine t, given that d(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 6\/3 + 29. Suppose 2*d - 64 = -4*h, 4*h - c = d - 87. Let t = d + -13. Calculate the remainder when 80 is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.372209 microseconds to nanoseconds.\nAnswer: 8372.209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4238639569?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.18911191 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -30. Suppose 0 = -4*s + 4*b + 24, -5*b + y = -0*s + s. What is the common denominator of s\/(-4)*(-292)\/(-72) and 41\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*v, 5 + 7 = -3*o. Suppose -4*z + v = 2*r - 2*z, 3*r - 2 = 2*z. Let s(a) = 2*a - 2*a + r*a. Let h(b) = b**2. What is s(h(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbs when three letters picked without replacement from {e: 1, s: 3, b: 4, i: 4, p: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 0.2882.\nAnswer: 0.7118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 37702 = 37711 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9.183369 weeks?\nAnswer: 64.283583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -40?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2543?\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1503, -1500, -1497, -1494, -1491?\n\"Answer: 3*v - 1506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38084 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -59, 3, 2, -5 in ascending order.\nAnswer: -59, -5, -0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1088 + 2040. Let m = d + 1095. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8764 or 8763?\nAnswer: 8763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 642809 to the power of 1\/2, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = 5*z + 4*q + 12, -2*z = 4*q + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((180\/56)\/(-9))\/(10\/(-140))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.8 + 5.28. Let h = y + 0.4832. What is h rounded to 3 dps?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*j + 21 + 15 + 184*j - 34 in the form w + p*j and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -7251586.\nAnswer: 2\/3625793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 53. Let s be 42\/9 - 5\/a. Let y be s\/(-10) - (-2439)\/(-2). Round y to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2818626 and 1328318?\nAnswer: 115563666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 108\/(-15) - 8\/10. Let s be 1800\/32 - (-2)\/c. What is the highest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4603 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 2, i: 1, j: 7, l: 6}. What is prob of picking 1 i and 2 l?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*f - 18, 13 = 2*r + f. Let a(u) = u**2 - 6*u + 7. Let i be a(r). Differentiate -2*m**3 - i + 0*m**3 + 0 wrt m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 900 + -349. Suppose -6*h + x = 539. Solve -4*i = 2*a - 10, 3*i + h*a = a + 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61*-0.5\nAnswer: -30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 435?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -994, -993, -998, -1015, -1050, -1109, -1198, -1323?\nAnswer: -1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 5. Let o(a) be the second derivative of a**2\/2 + 2*a. What is 3*o(b) + p(b)?\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56*r*v*z**2 + 33*r*v*z - 10*r*v - r*z + 27*v*z**2 - 5*v*z + 17*z**2 + 2 wrt r?\nAnswer: -56*v*z**2 + 33*v*z - 10*v - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*1 - sqrt(76))*-1 + sqrt(76) + (sqrt(76) - (sqrt(76)*2 + sqrt(76))*-5))\/(6*sqrt(576) + sqrt(576) - sqrt(576)).\nAnswer: 17*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -75000 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 8*f**2 + 23*f - 16. What is the remainder when 265 is divided by w(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-36)\/14)\/(-2*(-6)\/(-84))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*m - 279 - 58, 0 = 4*z - 3*m - 1253. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 655 - 463. Let c = -375\/2 + f. What is the common denominator of (6\/(-36))\/((-3)\/246) and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-43)\/(-2) - 0) + 4\/(-8). Suppose 0 = -3*c - c - v + r, 0 = 5*v - 25. Solve -3*m + c = 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 802 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -3, -5, 27939, 5, -0.3 in increasing order.\nAnswer: -5, -3, -1, -0.3, 1, 5, 27939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Is (-9)\/(-2) - 3\/x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 39667032?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*(-1)\/33 + 2054\/(-78) + 27?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 30?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*j + 44, -2*y - 3*j + 16 = -0*j. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*x - 3*x - 14, -5*u = 5*x + 15. Let o be 2\/x*(-3)\/(-2). Is o at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 5*u - 1, -2*u - 64 = -5*j - 21 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 764 divided by -191.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -738500505.8725 - -3.\nAnswer: -738500502.8725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -575*o**3 + o**2 + o - 2. Let t = 6 + -8. Let q be c(t). Round q to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134879 is divided by 91?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-8))\/((-1)\/(-2))*86. Let l = r + -31. Let w be (1\/(-2) + -1)*l. Sort w, -2\/15, 3\/7.\nAnswer: w, -2\/15, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56, -43, -28, -11, 8, 29, 52?\n\"Answer: i**2 + 10*i - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 - 27*u\/4.\nAnswer: -u*(u + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 q when four letters picked without replacement from anqmjnqaqnaaqaq?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + (sqrt(847) - (sqrt(847) - (0 + sqrt(847)))**2) - sqrt(7) - (sqrt(84)*-1 + sqrt(84))\/sqrt(12).\nAnswer: 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50041381 - 31231381. Round o to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -j + 3*p, 5*j - 4 = -3*p + 1. Suppose 216 - 792 = -j*m. What is the greatest common divisor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o - 7*o + 5*o + o**2 + 3*o**3 + (0*o + o - 4*o)*(-2*o**2 - o + o).\nAnswer: 9*o**3 + o**2 - 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41320210 + -30?\nAnswer: 41320130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 2)*(-5 - 3*n + 27 + 26) to q*n + m and give m.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 + -1)*33\/(-99). Solve 30 = d*i + 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times 16920600?\nAnswer: -558379800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*b**2 + 1)*(2573 - 3611 - 4786 - 1361) + 5*b**2 - b**2 + b**2 as x*b + m*b**2 + q and give m.\nAnswer: -14365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -11*a - 2. Is d(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2373 + -2369. What is the greatest common divisor of 121 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*sqrt(2)*3.\nAnswer: 2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001 + 11000110010110110?\nAnswer: 11000110000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 150 = 33*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -788537\/1026 or -770?\nAnswer: -788537\/1026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2178) - sqrt(2178))\/(sqrt(18)\/(sqrt(75) - sqrt(3))))**2.\nAnswer: 23232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(3744\/(-128)*(-3)\/(-3))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 - 96. Let j be 12\/9*(-9)\/(-6). Let g(a) = 17*a**3 - 2 + 5*a**j - 42*a**3 - 2*a + n*a**3. Give g(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, j: 5, x: 5, d: 1, t: 1, w: 1}. What is prob of picking 1 w, 1 x, and 1 q?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5475 is divided by 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 81*y - 34*y - 1 + 117*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(9\/7))**(-2\/127) assuming m is positive.\nAnswer: m**(-18\/889)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9*(-42)\/(-4). Suppose 3*f = b*f - 16. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6794813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21685 and -9.1?\nAnswer: 197333.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 7:53 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -15 - (-16 + (-4 - -32))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (109 - 1))\/2. Let x = l + 87. List 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 next in -221, -442, -663, -884, -1105?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -16 + -27 + -13 + 0 + 1 + -4.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 3*l**2 + l**2 + (-1692*l + 3090*l - 1 - 1753*l)*(-9*l + 20*l - 23*l) in the form t + m*l + r*l**2 and give r.\nAnswer: 4261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (552\/84*-7)\/(-12 - 2)?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2247339 and 418?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a week in minutes?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 12*z**2 + 29*z + 18. Let y be l(8). Let s(x) = -x**2 - 2*x + 1. Let p be s(-3). Let w be (y - -306)\/(p\/(-76)). Round w to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2985513288 to the nearest integer?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*r + 53*r - 11872. Let a be 2\/(-3) + (-458)\/6. What is the lowest common multiple of (-2)\/(-11) + r\/a and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4551 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1245, -5\/6, 4?\nAnswer: 0.1245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -32. Let n(w) = -w**3 + w**2 + 2*w - 5. Let o be n(q). Let u(m) = 2*m**2 + 8*m - 2. Is u(o) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33528 or 33539?\nAnswer: 33528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 4138.360606 and 5.\nAnswer: 4143.360606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 5\/6*o**3 + 0*o - 1\/4*o**4 + 6*o**2 - 1\/60*o**5 + 0. What is u(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*w - 89. Let f be 366238\/w - (12 - 10). Let u = -10178 + f. What is the common denominator of u and -89\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 11 - 9*j + 8*j + 2*j. What is the units digit of f(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147.4 + -147.7. Let i = 19 - 20.1. Sort i, 2\/3, h.\nAnswer: i, h, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*o - 2*o. Let k(s) = 17*s - 1. What is the tens digit of k(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 373?\nAnswer: -16\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4005 divided by 6?\nAnswer: -1335\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*o**4 - 11990832*o**2 + 11990834*o**2 + 345*o**4 + o**5 + 206 - 5*o wrt o?\nAnswer: 20*o**3 + 5088*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 2*o - o**3 - o - 5 - o. Let h(w) = w**3 - w + 3. Let s(l) = 5*h(l) + 3*x(l). Factor s(c).\nAnswer: 2*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 867 divide 990981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37070840 and 14915.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.04 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-5\/4)*i\/i**14*i**(-2\/5)*i**9 assuming i is positive.\nAnswer: i**(-43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0284992 litres in millilitres?\nAnswer: 28.4992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 11:54 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -118, -168, -210, -244, -270, -288?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**7\/840 - a**6\/720 + a**5\/30 + a**4\/8 + 4*a**2. Let r(b) be the second derivative of x(b). What is the tens digit of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.033 (b) -4 (c) 18 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 4*g - 64 + 2*g.\nAnswer: -g - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 1)**2 + sqrt(11) + 0.\nAnswer: 19*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 767 and 2727283?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 equal to 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o - 50 = -13*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2113 - -2234403?\nAnswer: 2232250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353*j = -355*j + 10. Let n = -1.351 - -1.551. Let g = -193\/5 + 581\/15. Which is the biggest value? (a) g (b) j (c) 6 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -21*k**3 + 7*k**2 + 15*k - 8. Let x be c(-4). Let o = x + -4162\/3. Factor 1 + o*j - 1\/3*j**2.\nAnswer: -(j - 3)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 = 3*u, 7*u - 11*u + 52 = -d. Which is the smallest value? (a) 2 (b) -2\/13 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 + -6.3. Let q = c - -5.000029. Round q to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:27 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.43 - 21.43. Which is the smallest value? (a) h (b) 1\/10 (c) 5\/3 (d) -1\/6 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -39, 172\/5, -6, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 0*v - 2*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, 950, -70, -4, -5 in decreasing order.\nAnswer: 950, 13, 4, -4, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 46. Let x = 27 - -3. Let u = i + x. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 992 * -0.07827\nAnswer: -77.64384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 53*r**2 + 5*r + 1. Is t(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, z: 17, h: 1}. What is prob of sequence zhzh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -e98 (base 15) in base 2?\nAnswer: -110011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8694.387 months to decades.\nAnswer: 72.453225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + m**2 + 3*m - 2. Let j be l(2). Let c be (244\/6)\/(6\/323667). Suppose j = 4*h - c - 286257. Round h to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2196.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/87 and 59\/174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 34. What is the third smallest value in -2\/5, -2\/11, r?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -14. Find the first derivative of -q + 2*c + 5*c - 4 wrt c.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.426 and -0.07935?\nAnswer: -0.2718531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -7. Suppose 6*c = 10*c - 260. Suppose -8*d + 3*d = -c. Is d < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 322\/23 - 6226\/(-308) - 3\/14.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**40\/(n**(-3)\/(n*n*n*n**(-1\/5)))*(n\/(n*n\/(n*n**1)*n*n*n)*n**(-2\/13))\/(n**(-1\/2))**(-19\/3) assuming n is positive.\nAnswer: n**(187\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 7*d - 4. Let o be r(-6). Let w = 11516 - 1724. Suppose w = -0*f + 4*f - 4*y, 0 = o*y - 10. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 236 + -160. Let v = 75 - f. Which is greater: v or 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*o. Suppose o = 14*b - 49 + 35. What is k in -4\/3*k + b - 2\/3*k**2 - 1\/3*k**4 + 4\/3*k**3 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121 and 404495014?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063 is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*g - 3297 = -525 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - y = 2*y - 17, -4*f + y = 0. Suppose 3*a = -h - 3, 3*h = a + f + 10. Are h and 3 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385296 + 264704 = d. What is d rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7*u = 3*u - 1, 2*u + 2 = 0. Suppose -7*r + s*r + 4*w + 56 = 0, -4*r - w + 46 = 0. What is the remainder when 46 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 3*r**2 - 2*r)*(5*r + 30*r - 17*r) to s*r**3 + y + t*r**2 + f*r and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6579 to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n, -3*c + 10 = 2*n - 5. Suppose 16 = -z - c*u, u + 3*u = -16. Calculate the lowest common multiple of (8 + 1 + 0)*2 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516288.\nAnswer: 2, 3, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4 - -5) + 13)\/2. Let g(t) = t**2 - 6*t - 5. Give g(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2 + 4. Let a = v - -7. Solve -u = -a*u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10356 times 1\nAnswer: -10356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*a + 4 = 5, 0 = 3*a + 9. Suppose 0*p + 3*p - 72 = 0. What is the lowest common multiple of (-4)\/(32\/(-15) + l*1) and p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17990*b**2*u*x**4 + 4*b**2*u*x + 2*b**2*x**3 + 7959*b*u*x**2 + 3*b*u*x - b*x**2 wrt x?\nAnswer: -431760*b**2*u*x + 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -215 + 388. Suppose 1586 - y = 9*r. Calculate the remainder when r is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/5 - 58*d**3\/5 + 1607*d**2\/5 - 11916*d\/5 + 5184 = 0. Calculate d.\nAnswer: -80, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 12*s - 36. What is the greatest common divisor of 198 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-1 - -19) + -4 - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-3 + 7 + 2)*(m**2 - 2 + 2).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*u - 51 = -133*u - 5*c, -4*c = -24. Calculate the remainder when 1026 is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 7:57 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773894 is divided by 6786.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 25. Let r(v) = -11*v - 1. Let d be r(-5). Suppose d*l = 53*l + 14. What is the remainder when s(0) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -116, -90, -44, 28?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1081*f - 358*f - 360*f - 6 + 3 - 367*f.\nAnswer: -4*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4668\/49 - 710189\/490. Let o = 1353 + c. What is the common denominator of o and 40\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.3044 years to millennia.\nAnswer: 0.0803044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 15, -m = -4*g - 0*g + 15. Suppose g*s - 12 - 18 = 0. Let j(h) = -h**2 + 7*h - 5. Give j(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.082 + -1.082. Let r = -0.2 + -2.8. What is the fourth biggest value in r, 0, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 18 = -0*d - 3*u, 0 = 5*d + 2*u - 23. Suppose -d*s - 43 = 5. Let i be 5 - (-4 + s\/(-4)). Solve 4*a - 3 = i*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -7 - 1 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Let f(o) = -o**3 + 4*o**2 + 3*o + 7. Let t be f(5). Let v be ((-15)\/6 - t)*2. What is the third smallest value in v, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -15*h + 5. Let c be d(0). Suppose 0 = c*k - 4*f - 8780, 5*f + 8740 = 5*k + 9*f. What are the prime factors of k?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - -0.6. Let o = k + -0.3. Let s(z) = -z**2 - 16*z - 1. Let f be s(-16). Put o, -5, f in decreasing order.\nAnswer: o, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 30*t**2 + 12*t - 5. Is w(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*k**2 + 739310*k - 9621945.\nAnswer: -24*k + 739310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*p - 198*p - 145*p + 60*p = -2280 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -0.3, 0.5 in decreasing order.\nAnswer: 0.5, -0.3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 14*t**2 - 31*t - 14. Calculate p(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2858, 109.3, 2\/15?\nAnswer: 109.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 13*r**2 - 12*r - 25. Let m be i(14). Suppose g = 5, 0*o + m*g - 74 = -o. Is 59 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(45\/(-10))*9\/69?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m**2 - m + 1. Let k(f) = -2*f**3 - 2*f**2 - 2*f + 2. Let p = 226 - 230. Calculate p*s(h) + 2*k(h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 17549121.\nAnswer: 17549121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/295437700 and 121\/10.\nAnswer: 295437700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*z)*(-405*z**3 + 832*z**3 - 171*z**3) + 3*z**4 - z**4 + 0*z**4)*(-5*z + 0*z + 3*z + (4 - 2 - 3)*(0 + 0 + 2*z)).\nAnswer: 2040*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 1:43 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -716*m**4\/5 - 133222*m**3\/5 - 6332268*m**2\/5 - 2505344*m - 778688\/5 = 0. Calculate m.\nAnswer: -92, -2, -23\/358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5) - (-100521)\/15. Let d = -4623 + p. Let r = d + -20843\/10. Calculate the common denominator of -53\/4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 15) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4316 - -703506\/163. Let h = -288\/3097 + v. Are 1 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(1300) - (-2 + sqrt(1300))) + sqrt(39)\/(-1*sqrt(75)))*1 + -5)**2.\nAnswer: -2*sqrt(13)\/5 + 38\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -112222?\nAnswer: 120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, f: 9}. What is prob of picking 1 f and 1 h?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:12 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 1101?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (7 - -5 - 2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358*q = -363*q + 90. Calculate the remainder when q is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a**2 + 2*a - 6. Let c(f) = -25*f**2 + 7*f - 19. Determine 2*c(o) - 7*g(o).\nAnswer: 6*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1441*x**2 + x*y**3 + 1601*y**3 wrt x.\nAnswer: -2882*x + y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 98 - 83. Suppose -2*u + k*x + 27 = -2*x, -u + 3*x = -16. Solve u = f - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**(-21)*j\/(j**(-1)\/j)*j*j\/j**(-2\/3))\/(j**(-2\/5)*j**(-2\/23)*j)**12 assuming j is positive.\nAnswer: j**(-7414\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -46*r - 12. Is i(-3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1537*q + 360*q + 66 - 66 + 390*q.\nAnswer: 2287*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 9. List the prime factors of q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - -3) + (17 + -13 - 16)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**5 + 2*s**5 + 2*s**5 + (0*s**4 - s**4 + 0*s**4)*(-5*s + 3*s + s) + 91*s**4 - 91*s**4 + 54*s - s**5.\nAnswer: s**5 + 54*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129 - -1160\/9. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:50 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, x: 1, r: 5}. Give prob of sequence rddd.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7888*j**3 - j**2 + 38*j - 36. Does 161 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 6:24 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -44) + (-9 - 2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 205 + -202. Suppose -9 = -3*f + 3*s, -3*f - 7 = -8*f + w*s. Which is the third smallest value? (a) 0.71 (b) 0 (c) f (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(3\/12*4). Let p(w) = -13*w. Let h be p(n). Suppose 4*o = 4*a + 40, -9*a = 2*o - 4*a - h. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 20 - 78 = 0. Let a = -35 + k. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 0.5, -12\/11, -3021?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262729364.\nAnswer: 2, 5563, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -4 + -7 + 18 + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idjdjjjdidiijisji. What is prob of picking 1 s and 3 j?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 321, 467, 613, 759, 905?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14705725 divided by -588229.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 60*g**3 - 84*g**3 + 38*g**3.\nAnswer: -106*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/11))**40)**(2\/75)*(v\/v**1*v*v\/(v**(3\/4)\/v))**20 assuming v is positive.\nAnswer: v**(7457\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 727 (b) 3 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-4)\/((-8)\/(-14))). Let g = -61 - -35. Let f be (-91)\/g + (-1 - 3). Which is the biggest value? (a) f (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -58*d**2 + 105*d - 209. Let j be v(2). Is 2 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1529290479 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12475324248 rounded to 6 dps?\nAnswer: -0.124753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 3*t = 5, 0 = -4*c - t - 11 + 6. Put 3, c, 32 in decreasing order.\nAnswer: 32, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*z**3 - 30*z**3 + z**4 + 5 - 25*z**3 + 77*z**3 as w*z**3 + y*z**2 + k + i*z + b*z**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 23. What is the highest common factor of 19 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39169 and 262?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28 - 4*a**3 - 19*a - 31*a + 36*a**2 - 10*a.\nAnswer: -4*(a - 7)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.12*-0.3.\nAnswer: -1.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11222000 (base 3) to base 8\nAnswer: -7042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10536 (base 9) to base 10.\nAnswer: -6999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = -d. Is 21 + (1 - (-3 + d)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/280*(-11)\/((-429)\/(-36))*-20\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*o**3 - 26*o**3 - 11*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50.55 + 9.25. Let n = g + -0.5. Let h = -42 - n. What is the nearest to h in 3, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 3\/133 (c) 0.144 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1187680*q + 910. Let v(d) = -10418*d - 8. Calculate -4*h(w) - 455*v(w).\nAnswer: -10530*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1414342829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -5*y**4\/2 - y**2\/2 - 175. Suppose 2*q - 5*q - p = -2, -q - 5*p = 18. Suppose -q = 2*g - 4*g. Give s(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, f: 5}. What is prob of sequence aa?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 46516.89g in milligrams?\nAnswer: 46516890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 3*f - 1. Let n be (-468)\/(-12) - (2 - 10). Suppose -2*s + 57 = n. Calculate the least common multiple of y(-5) and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505846 is divided by 359.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1029)*-5)\/sqrt(3).\nAnswer: -35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - h + 1)*(5 + 10 - 4).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v - 2. Let b be (1 - 0)\/((-2)\/(-10)). Suppose 4*r - 135 = a, -r - b*a + 36 = -3*a. Calculate the remainder when r is divided by g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018082428 rounded to six decimal places?\nAnswer: -0.000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145 - -149. Suppose 0 = 2*y - x*y + 142. List the prime factors of y.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.138313877 - -2.27?\nAnswer: 1.131686123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13.169*-0.08\nAnswer: -1.05352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 37. Let a(u) = u**3 - 4*u**2 + 2*u + 5. Calculate the remainder when g(6) is divided by a(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j. Let y = -60 + 56. Let b(a) = -5*a - 8. Let v(z) = -33*z - 54. Let k(r) = y*v(r) + 27*b(r). What is c(k(h))?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 2, 0, -5106 in decreasing order.\nAnswer: 2, 0, -31, -5106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 3*c + 12, -998*n + 997*n - 12 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - g - 432 = 2*g, 3*g = -12. Let u be (69\/4)\/(w\/(-14)). Let o = u + -14\/5. Which is the closest to o? (a) -0.4 (b) 1\/4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(220)\/sqrt(5) + sqrt(44) - sqrt(44))*-1)\/(sqrt(4) - -6*3*sqrt(4)).\nAnswer: -sqrt(11)\/19 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*q - 171*q = -600. Suppose 4*d - 112 = -520. Let f = q - d. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (91 - 142) + 68 + 69?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 1, 4, -1, -5, -4, -3 in ascending order.\nAnswer: -5, -4, -3, -1, 1, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*y**2)*((-3 + 5 + 0)*(-5*y + 2*y + 0*y) + 4*y - 4*y - 2*y + (-2*y + 2 - 2)*(-4 + 0 - 1)).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 18*d + 6*d**2 + 22 + d**2 + d**2 + 10*d**2 - d**3. Let r be m(19). Suppose r*o + 13 = 97. What is the greatest common factor of o and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 15782?\nAnswer: -15786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 2 + -5 - -2 - -12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 14*c**2 - 77*c - 75*c + 19 + 163*c. Is i(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(-4) + 99\/2 is divided by (8\/10)\/(-5*(-6)\/675)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 97942, 196798, 295654, 394510?\n\"Answer: 98856*j - 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (174*f + 3809 - 3809)*(-26*f**2 + 5483*f - 5483*f) to m + o*f**3 + h*f + i*f**2 and give o.\nAnswer: -4524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 166209, 332713, 499217?\n\"Answer: 166504*x - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-760)\/60)\/(2\/(-33))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36331 times -1006?\nAnswer: 365.48986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2722*d + i - 2*i = 2727*d - 47, 3*i = -4*d + 196 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 3.733223.\nAnswer: 3.733223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from ddzlkzzzzkszskkkks.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -24*x**2 - 3*x + 2 - 3*x - x**2 + 7*x**2 - 10*x**3 = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - m - 3 + 1, z = 3*m + 6. Let g be -6*(-636)\/(-13258) + 40\/140. Which is bigger: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3920 = -8*s - 1240. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 96\/120 + (-11)\/(-5). Solve -2 + 14 = -q*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/15 + 1410\/(-25). Let k = -34 - y. Suppose -20*m + 2492 = 8*m. What is the remainder when m is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**2 - 3 - 2 - c - 5*c - 4*c**2. Suppose 23*m - 21*m = 10. Give f(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20142, 40270, 60386, 80490?\nAnswer: 100582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25562 + -18?\nAnswer: -25581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185 - 25. Suppose -3*l - 2*l + r = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 343. Is 49 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/10)\/9*-4*(-3014)\/548.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -75. Let c = 49 + f. What is the highest common divisor of 24 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + (-60 - -1) - (0 + -14 - -10).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51131\/733 or -70?\nAnswer: -51131\/733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 1816 = 4*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-457)\/(-2)*(-2)\/1. Let y = k - -101. List the prime factors of y.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c**3 + 2*c**2 - 5*c - 12. Let o be (-68)\/51*((-3)\/(-6) - -1). Let v = -8 + 16. Calculate the remainder when z(o) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 8*t**2 - 3*t + 50. Give s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u + 2. Let m be (-1 - u)*21\/(-9). Calculate the highest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -73*h + 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.2, -9, 1.5, -1\/4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-27) + (-7)\/(-9). Let d be (-16)\/6*(-30)\/(-8). List the prime factors of r\/((-3)\/(d + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39, 7, -53, -147, -281?\n\"Answer: -k**3 - 8*k**2 - k + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 7*j**2 - 8*j - 6. Let q be m(-6). What is the greatest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d - 1. Let x be a(-3). Let r = 6 + x. Is -44*1\/(4\/r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -23640.\nAnswer: -23641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -6. Let b(h) = h**2 - 5*h + 8. Let q(j) = j**2 - 6*j + 8. Let x(r) = k*q(r) - 2*b(r). Is 8 a factor of x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/((-16)\/96). Find the first derivative of -3 + 0 + b*g + 7*g - 3 wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 - 47885\/32025?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174 (base 11) to base 13.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 162, 493, 1112, 2115, 3598?\nAnswer: 5657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26370 + 0.4?\nAnswer: 26370.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29205 and 77.\nAnswer: 204435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 847 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -33*x - 453. What is the hundreds digit of h(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 19*w + 2615. Let f be 8\/6 + 9\/(w\/50). Sort 2, 2\/7, 0.05, f.\nAnswer: f, 0.05, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = c, -10 = b - 3*b + 3*c. Let s = b + -6. Let d(x) = -1 - 3*x**2 - 5*x + s*x**2 + 0. Give d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) + sqrt(363) + -2 - (sqrt(192) - (sqrt(192) + -1 - sqrt(192))))*-6 + -2)*-3)**2.\nAnswer: -6912*sqrt(3) + 17856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 613\/3065 + -1*2*(-3)\/10. Let -4\/5*i**3 + 0*i**2 + 0 + t*i = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28203293 is divided by 209.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -638759 or -638725?\nAnswer: -638759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 21. Let o be u(-8). Is (-101)\/(-2) + o - (-1)\/2 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -7*j**4\/12 - 5*j**2 - 6*j - 4. Let d(w) be the first derivative of q(w). Find the first derivative of d(y) wrt y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9149 and 124165.\nAnswer: 869155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.3 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -337902.4?\nAnswer: 337902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174 by -87.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 408?\nAnswer: -5\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.38970411 + -1189.38795811. Let s = n - -1182. Round s to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4903\/580 + -267\/58. What is the common denominator of (3 + 201\/6)*3\/(-30) and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c = -50*c + 15643. Find the first derivative of 5 + 19 + c*p - 8 - 15711*p wrt p.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 6:33 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3955 divided by 2\nAnswer: 3955\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-7)))\/(t*(t\/t**8*t)\/t*t*t) assuming t is positive.\nAnswer: t**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 4:06 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(432) + 1 - (0 + 4 + sqrt(3) + sqrt(27)) - ((sqrt(24)\/(sqrt(32)\/sqrt(16)))**2 - (1*sqrt(243) + 1)).\nAnswer: -19*sqrt(3) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 317754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -10503?\nAnswer: 10500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 296553, 296582, 296631, 296700?\n\"Answer: 10*x**2 - x + 296544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-9.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 432*d - 7570. List the prime factors of j(104).\nAnswer: 2, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, 2\/11, -3\/143, 4, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -20*v**2 + 22*v - 14. Let g(i) = -11*i**2 + 12*i - 7. Let n(z) = -11*g(z) + 6*h(z). Suppose 2*b = 4*u + 4 + 4, -3*b + 5*u = -10. Calculate n(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/25 of a centimeter?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3345801 (b) -0.15 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = -4*c, -3*j - 2*c + c + 27 = 0. Suppose -f = -12 + j. Is (-17*f)\/(4\/(-14)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 1715*v - 1717*v + 137381, -5*a + 4*v + 228983 = 0. List the prime factors of a.\nAnswer: 3, 5, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/((-3)\/(-1)) - -7. Let x = n + -3. Let k = 2 + -1. Which is the closest to k? (a) x (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 8*h - 12. Let x be (h - 2) + (2 - 0 - 2). Differentiate -m**x - 12 - 34*m**4 + 7*m**2 - 6*m**2 wrt m.\nAnswer: -136*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*i**3 - 242 + i - 81 - 253*i**3 - 114 + 23*i**3 wrt i?\nAnswer: -816*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(-5) - (0 + -3 + (-36)\/(-20))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -396 - -398. What is the second biggest value in 0.2, x, -16, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1057812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*i - 80036 = 83*i - 1094*i for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 3*g + 1 + 5\/3*g**3 - 1\/4*g**4 - 7\/2*g**2. Factor q(v).\nAnswer: -(v - 3)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 15*j**2\/2 - 106. Let l(t) = t. What is 6*l(c) - w(c)?\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -274, 5.\nAnswer: -274, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 11) to base 9.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwbk when four letters picked without replacement from {k: 1, b: 6, h: 2, w: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l - i - 184 = 0, -i + 446 = -5*l. Let j = l - -127. Let h(k) = -12*k**3 - 11*k**3 - 13*k**3 + j*k**3 + 2. What is h(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2301 (base 7) to base 15\nAnswer: -3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**3 - 5*t**2 - 210*t - 204. What is y(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smssmmmmsm. What is prob of sequence mmms?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 86. What is the first derivative of -m + 69 - 157 + 5*l**2 wrt l?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3614 divided by -3\nAnswer: -3614\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2))**(2\/9))**(-4\/3)\/(x**(-1\/15)*x*x\/x**(-11)*x)**(-4\/13) assuming x is positive.\nAnswer: x**(7784\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -698 - -1953. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0126 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxsxxsssxsxx. What is prob of picking 3 x?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(0 + 3 - (80 + -78)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Suppose 3*v + 3 = 4*v + 4*w, j = 5*v - w - 15. Suppose r + 154 = v*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 143 + 215 - 174 + 26*d - 29*d + 340 to the form n*d**2 + j + r*d and give j.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10445 divide 1029609222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162454025?\nAnswer: 3, 5, 15499387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 260\/4*4\/(-100)*5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 13*c + 113 = 0, -6*m - 294*c = -290*c + 8 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 4*u + 20, 0 = 2*z + u - 822. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -2*b**4\/3 + b**2\/2 + 6*b. Differentiate f(s) wrt s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(sqrt(1053) - (sqrt(1053) + -1 + sqrt(1053))) - sqrt(1053) - (sqrt(1053) - sqrt(1053)*1*-5))*4.\nAnswer: -72*sqrt(13) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-1) + 0\/4. Suppose v + a = 10. What is the first derivative of t**3 - v*t**2 - 2 + 10*t**2 wrt t?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/4 - 3*m**3 + 13*m**2\/4 + 42*m + 36 = 0.\nAnswer: -12, -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 585 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2481 - -2515. Suppose 4*q = -3*v + 270, 0*v = 2*q + 5*v - 142. Calculate the remainder when q is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184.8 + 0.0226.\nAnswer: -184.7774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -12414400?\nAnswer: -12414410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 386626780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428574733 is divided by 840?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010 is divided by 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2427*j + 65800 = -547*j for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0.977091, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-3*f - f**3 + 3*f) + 1568*f**2 - 1568*f**2 - 2*f**3 - 13*f.\nAnswer: -3*f**3 - 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2\/83, -1185 in decreasing order.\nAnswer: -2\/83, -13, -1185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 13927803.3 and -0.02 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)*z**5*(z\/z**(-2\/11))\/z**(-2))\/((z**(-2))**(15\/7))**(-13\/7) assuming z is positive.\nAnswer: z**(-478\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*h)*(-6*h**4 - 13*h**4 + 29*h**4)*(-3 + 2 + 3).\nAnswer: -60*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*s**3 - 10*s - 9*s + 154*s**3 in the form g*s**3 + c*s + x + w*s**2 and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 0*t - t - 48, -63 = 5*a - 4*t. Let b = -10 - a. Let w = -194 - -202. Sort w, b, -5 in descending order.\nAnswer: w, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2200.655356 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 400.366893 + -0.036893. What is u rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 3*t**4 - 2*t**4 - 1 + 0*t**2 + 2*t**2 in the form w + z*t + o*t**2 + x*t**4 + g*t**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -31*u**2. Let d(v) = 24*v. Give d(a(b)).\nAnswer: -744*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 149184 divided by -112?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 64399.9 to the nearest 100.\nAnswer: 64400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70\/3 + 23. Let y = -1552 + 1545. What is the nearest to v in 3\/5, y, -4\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -319 + 330. Suppose -2 - 13 = -5*f. Suppose -2*u = -2*a + 1 - f, 23 = a + 5*u. Solve -a = -2*t - o, 5*o + x = 4*t + 40 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/24 of a week?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104451037451 - -2.\nAnswer: 104451037453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*(a\/(a**(-7)\/a*a))\/a*a)\/a*a**4)**37*(a**(-1)\/a*a)**(-20\/9)*(a\/a**(-1))**22 assuming a is positive.\nAnswer: a**(4745\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249010850 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1766 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 6*o = -18*j + 36, 29 = -3*j + 4*o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -339787.\nAnswer: -4\/339787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 0.817\nAnswer: 8.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**0)*m)**(11\/5)\/(m**(2\/13)\/((m\/m**(-3))\/m)))**(-1\/3) assuming m is positive.\nAnswer: m**(-328\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w**2 + 1105*w + 7678. What is f(-177)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 17 = -0*z - 3*n, z - 3*n = -13. Let q(u) = 15*u - 1. Let i be q(z). Let m = 56 + i. Solve 4*f = 3*g - m + 15, g + 5 = -2*f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13762950671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229240?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36\/137 + 281\/548. What is the closest to x in -2\/17, -8, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3459500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17449845 to the nearest integer?\nAnswer: 4177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from qmmqmmmqmmmmmm?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-1.5451\nAnswer: -1.4451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.4711526 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.37702 times -14\nAnswer: 5.27828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + -4 + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 891 - 498. Let c = w - 433.2. What is c rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.6 + -3. Let s = z - -0.4. Let w = 16 + -20. What is the nearest to s in 4, w, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -188.5 + 188.6. What is the smallest value in -4, 1\/16, x, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1 - -2) - (5 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503825*x = -h + 503820*x - 57, -61 = 3*h + 5*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 13*s**2. Let m(a) be the third derivative of 11*a**6\/720 - 37*a**4\/8 + 128*a**2. Let p(b) be the second derivative of m(b). What is q(p(z))?\nAnswer: 1573*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 24*g**3 + g**2 - 1. Let t be s(1). Let o = -20 + t. Suppose u - o*u - d = -32, u + 5*d + 8 = 0. Calculate the smallest common multiple of 20 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 7084\nAnswer: -1\/1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 1, -297, -691, -1175, -1743?\nAnswer: -2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*g*i*y**2 - 16019*g*i*y + 15*g*i + 51*g*y**2 - 2*g - 7491*y**2 + 7 wrt i?\nAnswer: 43*g*y**2 - 16019*g*y + 15*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47 + 257 - 6)*(2*o**2 + 5*o**2 - 3*o**2) + (4*o + o - 3*o)*(-5 - 2*o + 5) + (0*o - 3*o + 2*o)*(10 - 2*o - 10) in the form s*o**2 + z*o + v and give s.\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 313912.\nAnswer: 313920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 116 + 4. Let o(m) = m**2 - 4*m - 7. Let l(t) = -2*t - 11. Let f be l(-9). Let i be o(f). Calculate the highest common divisor of i and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2. Calculate p(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/4)\/(4\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 - 17*q - 98. Let u be o(-7). Let r = -233 + u. Are r and -20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -2168, -5882, -11348, -18566, -27536?\nAnswer: -38258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -567, -646, -747, -876, -1039, -1242, -1491?\nAnswer: -1792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*c**2 + 2*c**2 + 0*c**2 in the form k + m*c**2 + p*c and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3 - 8 + 7 + x**2 + 7 - 4. Calculate f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -620, -4.\nAnswer: -620, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/sqrt(2))**2 + 0 + sqrt(275) + -3 + (-1 + sqrt(1100))**2.\nAnswer: -15*sqrt(11) + 1274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1260*n**2 + 1290*n**2 - 3810*n**2 + 1259*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 10*f + 9. Let d be x(9). Let t = 121498\/477 - 13488\/53. Determine i, given that -t*i + d + 2\/9*i**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -5, 20, -1689?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 + 17*o + 39. Let r be s(-9). What is the highest common factor of r and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 21 = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-52)\/(-8) - (-3)\/2. What is the greatest common divisor of r and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4830, 4832, 4834?\n\"Answer: 2*d + 4828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*l = 5472 - 867, -2*b - 5*l = -1828. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**4*x + 1480*g**4 + 2*g**3*x + 2*g**3 + 10*g**2*x - 693*g**2 + 2*x wrt g.\nAnswer: 48*g*x + 35520*g + 12*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508022.\nAnswer: 2, 19, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-32)\/16)*-15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 159*w - 6318. Determine y(79).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 + 127*f - 1540\/3.\nAnswer: (f - 4)*(f + 385)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 54*u + 24429. What is k(-480)?\nAnswer: -1491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 + 2256*x\/11 + 11230\/11.\nAnswer: 2*(x + 5)*(x + 1123)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6559683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/6)\/((-2)\/6). Let o(q) = -q**3 - 11*q**2 - 11*q - 6. What is the least common multiple of (21\/(-4))\/(-1 + (-2)\/(-8)) and o(n)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**3 - 13*j**2 - 7*j + 11. Determine l(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3032*b - 131406 = 707*b + 115044 for b.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 12*b**2 + 7*b - 3. Suppose 0 = -2*c - 7 - 15. Let k be i(c). Factor w**2 - w**4 + 41*w - k*w.\nAnswer: -w**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 + 47*u + 538. Let b be m(0). Sort -2, b, 3 in increasing order.\nAnswer: -2, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/23)\/j**7)**(2\/131) assuming j is positive.\nAnswer: j**(-318\/3013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (515\/(-35) - -13)*-1*2002\/(-39)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599830572 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: What is the tens digit of 753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 158349431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-40)*15\/(1 - 2). Suppose d*x - 244880 = -7*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Suppose 2*z = 4*g - 284, 0*g + 2*g = 3*z + 134. Let o(d) = -g + 73 + d**2. Calculate o(a(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**2 + 0*z**4 + 0*z - 1\/15*z**5 + 0 + 0*z**3 - 1\/60*z**6. Let x(f) = 0. What is f?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/4 (b) -2 (c) 0.2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -853000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7724445208 - -4.\nAnswer: 7724445212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - sqrt(18)\/(-1*sqrt(9)) - -2*(sqrt(6)\/sqrt(3))**2.\nAnswer: 2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35, 118, 287, 542?\n\"Answer: 43*b**2 - 46*b + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -5*n + 7, -h - 4 = 0. Suppose -f + 4*l - 112 = 3*f, -4*f - 2*l - 112 = n. Let u = 10 - f. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146 + 204. Suppose 0 = -q - 4, r = 3*g - 3*q - 14. Let o(x) = -x**2 - 11*x - 23. Let m be o(-7). What is the greatest common factor of g and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/20)\/((-3)\/(-28)). Suppose -s*h + h + 42 = 0. Let v be 6\/(-27) - (-130)\/18. What is the greatest common factor of h and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -7*i + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222023 - -213302?\nAnswer: 1101331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*g + 300 + 24*g + 40*g - 26*g in the form k*g + t and give t.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -815*g - 2. Let b(w) = 719*w + 2. Calculate y(b(u)).\nAnswer: -585985*u - 1632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0287*-63406.\nAnswer: -1819.7522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w = 4*q - 17, w = 4*q + 13. Sort -3, w, 1 in ascending order.\nAnswer: -3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, b: 2}. Give prob of sequence ob.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 76811.628 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1792 by 32.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**4))**10)**(-29) assuming f is positive.\nAnswer: f**(-1160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 14*y**2 + 8*y + 106. What is the common denominator of o(13) and -28\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.578 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 905 (base 10) to base 2.\nAnswer: 1110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/31*36\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6704, -6876, -7170, -7592, -8148, -8844?\n\"Answer: -v**3 - 55*v**2 - 6648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 + 310. Is l a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 4, m: 2, s: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-203))\/(((-959)\/2055)\/((-245)\/50))\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4057466.\nAnswer: 2, 7, 31, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41*l**3 - 2*l + 2*l + 2)*(3 + 2 - 3)*(-1 + 1 - l) in the form r*l**2 + v*l**3 + q + x*l**4 + t*l and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3731943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/6)\/(2\/4). Find the first derivative of 4 - w**h - 1 + 0 + 4*w**3 wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -6 + 2 + (-74)\/(-12)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -434*s. Let n(f) = -13824*f**2. Determine n(r(z)).\nAnswer: -2603833344*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -660.36 or 1\/32?\nAnswer: -660.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -10. Suppose t = -q + 7 - 1, -2*t + q + o = 0. Let i = t - -3. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/30 and 2283\/(-1260) - (-32)\/(-56).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 169502*r**2 - 12*r. Let a(f) = -7*f. Give a(b(g)).\nAnswer: -1186514*g**2 + 84*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.336 and 5?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, 6, 50, 0, -90 in decreasing order.\nAnswer: 50, 12, 6, 5, 0, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 635061 and 30.\nAnswer: 6350610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -86b9 - 80?\nAnswer: -8769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6561667169963 minus -0.1?\nAnswer: -6561667169962.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 89*d**2 - 36*d - 666. Calculate z(89).\nAnswer: -3870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 8:06 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + -1. Let r be (1\/(-2))\/((-1)\/1). What is the second biggest value in c, r, 4\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.02 - -2. Let c = 31 + -215\/7. Which is smaller: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -m + 18, -m - 2*o = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 45\/4 of a microgram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25738943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/16)\/f*f*f)\/((f\/(f**(-40)*f))\/f)*f**48*f\/f**(2\/39) assuming f is positive.\nAnswer: f**(7495\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98925 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 11*u - 14. Let v be g(-2). Suppose 0 = -v*j + 4, -3*b + 1838 = 5*j - 651. Is b a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115474 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 7\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129872 is divided by 16223?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**2 + 890*g = 0.\nAnswer: 0, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 0*m + 2*m**3 + (-4*m**3 + 3*m**3 + 2*m**3)*(2 + 1 - 4) + 0*m - 12*m**3 + 0*m in the form a*m**2 + n*m**3 + u*m + d and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 6:01 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229100 and 3700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o + 48. Give h(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3115 - 3115.4. What is the closest to -17 in 0.4, r, 3, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -748848, -748682, -748506, -748320?\n\"Answer: 5*p**2 + 151*p - 749004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 8. Let t be h(4). Solve 3 = -i + 5, 2*r - 3*i = -t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (0 - (1 - 4))) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1334324013 + -142?\nAnswer: 1334323321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 1. Let n be (d + 0)*9\/(-81). Which is bigger: n or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 518*k**2 - 19*k + 28. Give o(1).\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 19) + -6 + 0 + -6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30211 divided by 6.\nAnswer: -30211\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*t - 433 - 77. Calculate the remainder when t\/15 + 600\/45 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m - 4. Suppose 0 = 5*d - 7 + 17, 0 = 2*b - 3*d. Let c(l) = l + 1. Give b*c(g) - w(g).\nAnswer: -11*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*w + 131*w + 1246*w - 214*w)*(-w**3 + 4*w - 4*w).\nAnswer: -1061*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a kilogram in grams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2875*v + 2877*v + 3*h + 7, 6 = -2*v - 2*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/((-840)\/16)*7*(-1 - -9). Sort 4, -5, -4, d.\nAnswer: -5, -4, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:57 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 50, -3\/2, 3, 11, 3\/2, 13\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 + 4*n**4 - 4*n**4 + 2 - 2 - 2*n**5 + (4*n**4 - 2*n**4 + 0*n**4)*(2*n - 4*n + 0*n) - 3*n**5 - n**5 + 3*n**5.\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4056416773 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1913079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 18, d: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*m + 20*m + 19*m + (-5*m + 5*m - 2*m)*(-2 + 0 + 4) + 0*m - 3*m + 2*m.\nAnswer: -29*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2130 + -6?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -12102?\nAnswer: 12106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhwwj. Give prob of sequence jw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-306)\/(-1989))\/((-16)\/260)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -160?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3088 + -3103.59. Let s = -0.41 + x. Let v = s - -15.999986. Round v to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*s - 2360. Suppose -s = -9*o + 771. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.864 + -0.136. Put -4, -4\/5, t, -1\/5 in ascending order.\nAnswer: -4, t, -4\/5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -27 (b) -14 (c) 2.42 (d) 2\/3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2. Let t(m) = -7*m. Let y be -10 + (-3 - 2 - -9). Let x(c) = 2*c - 3*c + 5*c. Let u(w) = y*t(w) - 10*x(w). Give n(u(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6 = m, -3*m - x - 2 = 4*x. Let a be ((-2348)\/(-12))\/(m\/(-6)). Let f = a - -1881. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.0694 to 1 decimal place.\nAnswer: -55.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483 = 14*n - 960 + 155 for n.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 8*o**2 + o - 15. What are the prime factors of s(-9)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2250 and 164250?\nAnswer: 164250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w - 5, 613 = v + 2*w. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 32314237220+19.2\nAnswer: 32314237239.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 18. Let w = i + -14. Suppose q - w*q + 3 = 0, q = 2*m - 31. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10461870 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9*n**2 + 27*n + 27. Let w(p) = -p**2 + p + 1. Determine 27*w(h) - z(h).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1584*n + 260. List the prime factors of d(-5).\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/80 and -93\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 12323?\nAnswer: -12323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 44*g**3 + 444*g**2 + 436*g + 36 = 0.\nAnswer: -9, -1, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2452411 and 7384?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 6:36 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2918 divided by 16\nAnswer: 1459\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*g**2 + 87*g**2 - 2870*g**2 - 262*g**2.\nAnswer: -2913*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2763 + 335*d**2 - 335*d**2 - 44*d**3.\nAnswer: -44*d**3 + 2763","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.4. Let u(g) = -9*g - 194. Let z be u(-21). Let h = -0.26 + 0.06. What is the nearest to h in z, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + v. Let s(i) = 3*i**2 + 4*i - 2. Let o(j) = 2*d(j) + s(j). Let h = 15 + -21. Determine o(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144158 is divided by 530.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -649433096 by 1.\nAnswer: -649433096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/7, 1877, 71 in increasing order.\nAnswer: 2\/7, 2, 71, 1877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 11:09 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 109 = 4*q - 3*q, 0 = 3*o + 5*q - 103. Suppose 19*d - o*d + 203 = 0. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149380060?\nAnswer: 2, 5, 307, 24329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/(-24) - (-18)\/(-24). What is the closest to h in 0.7, -0.1, 4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.19 - 0.19. Let m be (-10)\/6*1\/(-5). Which is the second biggest value? (a) -0.5 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10341 + 0?\nAnswer: -10341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -37611, -75257, -112931, -150633?\n\"Answer: -14*h**2 - 37604*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240420 (base 9) in base 16?\nAnswer: 2352c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -498498.04 - -497979.35926. Let k = 524.3807338 + h. Let p = k + -5.7. Round p to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1) + -3 - (-38)\/16. Which is the fourth biggest value? (a) -2\/3 (b) 0.4 (c) p (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7610 divided by 2?\nAnswer: 3805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, c: 7}. What is prob of sequence cccc?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -198\/12161 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10010322 + 312023?\nAnswer: 10323011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - t**2 + t - 77. Let r be y(0). Let a = -3 - r. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-341)\/(-93) + (-208)\/24. Let k(c) = 9*c + 6. Let d(u) = 8*u + 5. Let m(s) = 7*d(s) - 6*k(s). Give m(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-4))\/((-5)\/20). Suppose j*t = 2*t. Suppose t = -5*c + 5. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/56*(1 - -19). Which is the third biggest value? (a) -3 (b) -2\/9 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3072 - 1823. What are the prime factors of i?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 1\/4 (b) -2\/9 (c) -116 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100132555 (base 6) to base 14.\nAnswer: 32083d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = v + r, -4*v = -r + 2 - 171. Suppose 2*c - c - 6 = 3*q, 3*q + v = 3*c. What is the third derivative of -c*h - 9*h - 9*h**2 - 18*h**4 + 27*h wrt h?\nAnswer: -432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**3 + 8*c**2 + 8*c. Suppose 10*k + 187 = 37. Let z be -2*(-5)\/k*3\/2. Let y(d) = -d**3 - d**2 - d. What is z*i(g) - 8*y(g)?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1819 is divided by 785?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -11 + 1. Let c(x) = x. Let r(k) = -5*k - 1. Let v(i) = -3*c(i) + r(i). Let b be v(f). Solve 4*a = -5*z - b, 2*a + 2*z = z - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, k: 1}. What is prob of sequence hhkh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13014\/29275 or 0?\nAnswer: 13014\/29275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 9, s: 1, w: 2}. Give prob of picking 1 t and 1 y.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 717 = -123*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/(2\/12). Suppose -2*z - 10 = 0, d*z - 97 - 12 = -4*y. What is the remainder when y is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*c**3*k*l - 4*c**3*k + 10*c**3*l + 2*c*k**2 - 12*c*k + k**2*l wrt l?\nAnswer: 15*c**3*k + 10*c**3 + k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 341950?\nAnswer: -341946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skss when four letters picked without replacement from {d: 4, k: 3, e: 4, s: 2, w: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (300\/324 - (-8)\/108). Solve 2*x - 4121 + 4129 = n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 23 = 5*d, n - d - 30 = -19. Suppose -n*q + 2934 = -5*q. What are the prime factors of q?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73022 and 3886.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 403*m**2 + 4*m + 37. Calculate b(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-1)\/2*(132\/924 + 660\/4004).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.33 and -50?\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13005\/(-34))\/(-15))\/((4\/(-10))\/((-888)\/(-1665))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 585, 1289, 2263, 3501, 4997, 6745?\nAnswer: 8739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrrurhunrhcrr. What is prob of picking 1 h and 1 u?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -114 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 4*k = y - 17, 2*y + 2*k + 16 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 7808*j**3\/3 - 1286*j**2 + 9222. Find the second derivative of z(t) wrt t.\nAnswer: 15616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -437*q**2*u**2 - 73*q**2*u + 10*q**2 - 2*q*u**2 - 7*q*u + 669*q + 13*u**2 wrt q.\nAnswer: -874*u**2 - 146*u + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 28*p**2 + 12*p + 1. Let f be (-3)\/(9\/6)*5. Is y(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -6, 4, 0.1, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v - 20. What is the remainder when 41 is divided by a(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v**3 - 30*v**3 + 91*v**3 - 33*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**2. Let x(b) = b**2 - 1. Let m(w) = 7*w**2 - 6. Let z(u) = m(u) - 6*x(u). Determine a(z(o)).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7362 is divided by 75?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 1\/6*n**4 + 0 + 11*n**2 + 0*n + 1\/3*n**3. Give v(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2044 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(39\/(-12))*(-125)\/100?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -205913\/25 - -8238. Let p be (-3)\/(-15) - 55\/250. Let y = m - p. Which is the smallest value? (a) y (b) 0.1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95817358 a multiple of 2023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1 - x + 2*x - 1. Let k be t(7). Suppose k*b - b = 88. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90236 times -16.2?\nAnswer: 1461823.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -s - 18, -4*s - 177 = h - 190 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51296\/11 > 4663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74306520 divided by -24768840?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3656.052 - 3662. Let i = 312.052 + -312. Let d = i - g. Is -6 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 15*w - 13. Let k(q) = 22*q - 81. Let o be k(4). Calculate z(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/19))**(-2\/115)\/(b**(-3\/8))**(-2\/3) assuming b is positive.\nAnswer: b**(-2201\/8740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61466 + 61462.0401. Let o = -0.0701 + d. Let f = o + 0.03. Which is the second smallest value? (a) 1\/6 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10313 - 1303123?\nAnswer: -1232210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -7370.\nAnswer: -5896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23\/5, -7\/18, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -6 + (-6)\/3. Let i(k) = 316 - k - 160 - 163. Let q be i(u). Which is the closest to -2\/7? (a) 1\/6 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31684160 and 1485195.\nAnswer: 95052480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-6))\/((5516\/2955)\/(10\/25))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2435309675 - 6.1?\nAnswer: 2435309668.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + 11821 = -8*z, 3*l - 4*z = 35463. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9565.394 - -9577. Let o = x - 11.7. Let l = 0.03 + o. Round l to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 6 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 1. Let f(c) = 2*c + 11. Let s be f(-8). Let x(w) = w**2 - 13*w + 8. Let z(m) = s*h(m) - x(m). What is the least common multiple of z(5) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**9\/i*i)\/i*(i\/i**3*i)\/i*(i**(-1))**(-5\/8) assuming i is positive.\nAnswer: i**(61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -1 (c) 0.5 (d) 4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (585\/(-60) + 11)*348 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1503)\/(-6))\/(4\/8). Let q = 3501\/7 - v. Put -4, -1\/2, 5\/3, q in decreasing order.\nAnswer: 5\/3, -1\/2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from ggggggnggggggggngngn.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2756, 5499, 8238, 10973, 13704?\n\"Answer: -2*x**2 + 2749*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 1, 17 in decreasing order.\nAnswer: 17, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*0*4\/16. Let x be (-5 + n)*18\/(-15). Let g = 57 - x. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y + 9. Let m(t) = -3*t + 8. Let g(i) = -2*c(i) + 3*m(i). Suppose 4*q = -0*q - 4*h - 4, q = -5*h - 17. Let s be g(q). Solve 7 = 4*o + s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -211\/3570 and 37\/9.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -0.5\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Suppose -9 = -k + o. Calculate the common denominator of ((-58)\/k)\/(16\/(-18)) and -143\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Suppose 10 = 4*u + i. What is the remainder when 17 is divided by u\/4 + 66\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55 + 0.09.\nAnswer: -54.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 525491767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6) - 8\/6. Suppose 0 = 4*s + 2*s. Suppose s = -11*l + 6*l - 30. Which is the biggest value? (a) l (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkkbb. Give prob of sequence bg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -40*g + 3376. Let o be v(79). What is the greatest common factor of o and 1458?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112896 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 0*n + 9. Suppose -t + n*t - 4 = 0. Suppose 4*p - 26 = t*p. Calculate the remainder when 25 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.9 + 38. Let u = 3.1 - h. What is the nearest to 1\/2 in -3\/2, -3\/8, u?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**2*j**3 - 10*a**2*j**2*n**2 - 2*a**2*n**2 - 4*a**2 - 192*a*j**3*n - 13*a*n**2 + 5*j**3*n**2 wrt j?\nAnswer: -24*a**2 - 1152*a*n + 30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.0907 * -0.4.\nAnswer: 0.43628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/7 - 69*r**2\/7 + 579*r\/7 + 649\/7 = 0. What is r?\nAnswer: -1, 11, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.237158 and -1.\nAnswer: -1.237158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.1, -104, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 6:58 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6824.935 nanometers to centimeters.\nAnswer: 0.0006824935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 5*q - 1280. Round q to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 81, -1\/106?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a*u**4 + 5056*a*u + a - 190*u**4 - 2*u**3 - u**2 wrt u.\nAnswer: 168*a*u - 4560*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 21. Find the second derivative of 12*b**4 + u*b**4 + 19*b - 18*b**4 + 9*b**4 wrt b.\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7951.903ml in litres?\nAnswer: 7.951903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z + z)*(-149 + 80 + 57*z**2 + 71) - 146*z**3 - 143*z**3 - 3*z**3.\nAnswer: -349*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -106\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 3*q**2 + 16*q - 2. Let x(w) = -w**3 - w**2 + w - 1. What is m(p) + 4*x(p)?\nAnswer: -3*p**3 - p**2 + 20*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 5980.\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10990 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 513, 1235, 2267, 3609, 5261, 7223?\nAnswer: 9495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 1, j: 1, g: 1, e: 1, m: 1}. Give prob of picking 1 o and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 5*k**3\/3 - k**2 + 4*k - 1. Let z be v(3). Suppose -5*m + 2*w = -z, -4*w = -3*m + 15 + 22. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007376 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/8 and 17\/252.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 12:24 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -24. Let p(s) be the third derivative of s**6\/120 - s**5\/60 - s**4\/24 - s**3\/6 + 10*s**2 - s. Give p(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m - 22*m = -11*m - 513 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10541*r + 155112*r + 1 - 1.\nAnswer: 144571*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-3)*-1 - 1. Let r be -1 + 3 + x - -3. Suppose r*f = 33 - 6. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 33. Let n = k - 23. Solve -n*x = -2 - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121674122.\nAnswer: 2, 271, 224491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10240, 21655, 33070?\nAnswer: 44485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 35*m - 352. Determine h(43).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(176) - sqrt(176))*-5 + sqrt(176) + sqrt(176))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 104161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 39*h**2 + 119*h - 1168. Suppose 3*p - 6*p = -48. Calculate the lowest common multiple of i(21) and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2340 by -4.\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 13*j**2 + j - 10. Let r be f(13). Suppose 0 = -i + n + 3*n - 8, n - 2 = 0. Suppose -1\/2*g**4 + i + g + 1\/2*g**2 - g**r = 0. What is g?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 63, 65?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/20*-3*(2\/3)\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2 - 1 + 0 - 1 + 10*c. Let q be k(4). Suppose f - 2*f + q = 0. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 10:52 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + c - 1)*(3*c**2 - 4*c**2 + 2*c**2) + (-c + 3*c - 4*c)*((2 - c - 2)*(-2*c + 3*c - 3*c) - 2*c - c**2 + 2*c + 2181 - 2181 + 65*c**2).\nAnswer: -131*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-1)\/(11\/2). Let p be (12\/(72\/30))\/1. What is the second biggest value in p, b, -1, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x. Let u(w) = -1899*w + 2. Calculate u(a(q)).\nAnswer: -7596*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1\/6, -1\/2, 1, -2\/11 in descending order.\nAnswer: 1, -1\/6, -2\/11, -1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26744 + -26744.3. What is the third biggest value in -1\/3, 821\/5, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371, 656, 941?\nAnswer: 1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/16)\/((-1)\/(-2)) + -29. Let n = 21 - d. What is the remainder when n is divided by 524\/18 + (-5)\/45?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (-24)\/10)\/((-66)\/1320) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 1\/3*a**3 - 2*a**2 - 54 + 4*a. Factor v(d).\nAnswer: (d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1417803971 rounded to 6 decimal places?\nAnswer: 0.14178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315700 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3) + (-3 - -5). Let t(g) be the second derivative of 0*g**4 - 1\/30*g**5 + 0 + 1\/126*g**7 + 0*g**6 + 1\/18*g**3 + g + 0*g**p. Solve t(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27976.62597304 - -16372.6285741. Let n = k - -11616.6974. Let u = 12.7 - n. What is u rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9989, 9990, 9991, 9992?\n\"Answer: w + 9988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 3*g - g - 7*g - 12 + 4*g**2. Let m be k(4). Suppose 0 = -m*z - 3*z + 5*z. Solve -4*i + 9 = q, 4*q + 4*i - 6 - 6 = z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -134, 3, -1, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 463 = -3*d - 42, -2*d - 2*b = 350. Let x = -854\/5 - d. Factor -2\/5*j**2 + x*j - 2\/5*j**3 + 1\/5*j**5 + 1\/5 + 1\/5*j**4.\nAnswer: (j - 1)**2*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21078573 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*g + 6782 + g**3 - 6782.\nAnswer: g**3 + 36*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 5*r. Let g be y(5). Suppose 5*c - k - 55 = g, k = -2*c - 4*k + 22. What is the remainder when 21 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 48, 51, 54, 57?\n\"Answer: 3*n + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 2. Let t(m) = 1. Determine -5*t(h) - u(h).\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (19 - (10 + -26))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by 16202\nAnswer: -56\/8101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44, -65, -94, -131, -176, -229, -290?\n\"Answer: -4*w**2 - 9*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*v + 272*v + 387*v to the form y + u*v and give u.\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -97, -36, 27, 92, 159, 228, 299?\n\"Answer: s**2 + 58*s - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3151 + 3264. Solve n*t - 112*t = -5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 11:52 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/106413 (b) -18 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 1 + 0)*(4 - 4 - 2*z) - 3*z + 2*z + 2*z)*(-4*z**2 + 0*z**2 + 3*z**2)*(4*z - 3 + 3) to the form t*z + l*z**3 + s*z**4 + u*z**2 + m and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 100463071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -870440240 divided by 5\nAnswer: -174088048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = k + 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o + 7*o + o. Let r(n) = 1. Let f(d) = -25*d + 5. Let z(y) = f(y) - 5*r(y). What is q(z(w))?\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 8:04 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11)\/(q*q**2))\/(q**3*q**5) assuming q is positive.\nAnswer: q**(-119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6122, 5179, 3608, 1409, -1418, -4873?\n\"Answer: -314*r**2 - r + 6437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 294 - 113 = 82 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 6*f - 3. Let b be ((-45)\/6)\/(3\/48*-6). Suppose 5*l = -b, d = -0*d + 2*l + 14. Calculate j(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 - 65*r\/2 + 4225\/4.\nAnswer: (r - 65)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -18 (c) -9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 1\/2*p**2 - 1 + p - 1\/4*p**4 - 1\/3*p**3. Suppose u(g) = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 6:11 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767862 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80.89 - 81.1056. Round c to 2 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.5 or 1.86?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2806 less than -2806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 202*p - 9 = 200*p, -3 = 3*u - 4*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1698\/7 - -243. Calculate the common denominator of -39\/8 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 35.7. Let z = a - 0.3. Sort 3\/4, z, 5 in decreasing order.\nAnswer: 5, 3\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/55 + (-3321409)\/(-85085)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from {a: 4, x: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 16*b - 17. Suppose -6*k + 13*k + 42 = 0. List the prime factors of n(k).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*x - 58, -78 = -5*n - 3*x + 4. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000730619 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1706, 1675, 1644, 1613, 1582?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047 a factor of 36158749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*f = 219, 0 = -4*n - 8*f + 4*f + 216. Suppose -5*j = 4*m - 509, -5*j + j + 436 = -4*m. Let q = j - n. Round q to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m - 7*m + 16*m - 2. Let a be o(5). Suppose 4*u + j - 2*j = 19, -a*u - 2*j + 17 = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 266922 and -166043?\nAnswer: 432965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -183677.5?\nAnswer: -918387.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-15)\/(-12))*5. Let f be l*4\/((-16)\/(-94)). Suppose -2*d = -284 + f. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3 + v**2 - v**2 - v**2 + 4*v. Let q = -20 - -22. Let m be u(q). What is the closest to -2 in -2, m, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1627, -3192, -4757, -6322, -7887?\n\"Answer: -1565*b - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide -404*(34\/(-8) - (-320)\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -2065547, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/5 in 7\/4, -3, -2?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 10 - 16)*(2279 - 71*u + 65*u + 3*u) to o*u + k and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10740482 divided by -5.\nAnswer: -10740482\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1589.8047827 to the nearest ten.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3 (b) -11 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2096\/33 + 190\/3. Let i = -2343 + 11708\/5. Which is the second biggest value? (a) i (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 13*j - 10*j + 6*j - 20 + j**2. What is the tens digit of u(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**3\/3 + 46*t. Let x(q) be the second derivative of 7\/6*q**3 + 0 + 0*q**2 - 2*q. Calculate x(i(m)).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*i + 30 - 10, 57 = 4*i + 5*x. Suppose 19 - 7 = -v - 2*m, m + 9 = -v. Let z be (i\/v)\/1*-990. What is z rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1 - 12*f - 5 + 7*f + 3. Suppose 0 = -0*b - 5*b. Suppose b = 5*p - 20, m + p = 6*m - 1. Determine t(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*g*p**2*u + 1240*g*u**2 - 3*p**2*u**2 - 2*p**2 + 114*u**2 wrt g?\nAnswer: 8*p**2*u + 1240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -78*w**2 + w**3 - 4 - 8*w - 10 + 2 + 79*w**2.\nAnswer: (w - 3)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 0 = f + a, 1103*f - 4*a = 1100*f + 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 6:08 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/5 - 632*m\/5 + 24964\/5.\nAnswer: 4*(m - 79)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 3*n**2 - n**2. Let m(j) be the first derivative of j**5\/20 + 5*j**2\/2 - 21. Let y(a) be the second derivative of m(a). Give q(y(s)).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 706976*l - 1413936.\nAnswer: -4*(l + 2)*(l + 176742)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -1. Let v = -3\/14 - 1\/14. Let k = 0.03 - 0.43. What is the nearest to -2 in v, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(2*sqrt(400)) - (1 + (3*sqrt(2299))**2))*-2.\nAnswer: -sqrt(19)\/10 + 41384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10\/6)\/(190\/2508) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -57, -99, -157, -237, -345?\n\"Answer: -r**3 + r**2 - 28*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 - (8 - 16) - 4*1. Solve 3*m + 2 - q = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(8)\/sqrt(4)) - sqrt(22)\/(sqrt(2) + sqrt(10)\/sqrt(5)))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2654, 2652, 2650, 2648, 2646?\n\"Answer: -2*u + 2656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(9\/(-3)))\/(165\/11385))\/1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (471*10\/75)\/(-12) and -97\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 402*n - 55. Let t be a(4). Let b = -1037 + t. Does 26 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + 0.7. Let k = -10 - -10. Suppose k = -2*a - 7 + 1. What is the second biggest value in i, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**3 + 65*j - 17. Let h(c) = -c**3 - 11*c + 3. Let g(d) = 34*h(d) + 6*z(d). What is the second derivative of g(a) wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 22.952. Let a = 1.452 - c. Let q = a - 1.4999915. Round q to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - a)*(a**3 + 2*a**3 - a**3) + 288*a**4 + 283*a**4 - 97*a**4 - 5*a**4 + 3*a**4 - 4*a**4 + 1 - a**4 + 0*a**4 - 2.\nAnswer: 465*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*c = -270*c. What is the nearest to c in 0.1, -1\/8, -0.6, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ushl when four letters picked without replacement from uuulhsshuhhhlluhshu.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = 2*l. Solve 0*r = 3*i - l*r + 5, i - 5 = -2*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5\/5 - 62*s**4\/5 - 2024*s**3\/5 - 1664*s**2 = 0.\nAnswer: -16, -5, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 106, 117, 136, 169, 222, 301, 412, 561?\n\"Answer: l**3 - 2*l**2 + 10*l + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198 - 203. Sort p, 2, 4, -0.01 in ascending order.\nAnswer: p, -0.01, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a microsecond in nanoseconds?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -132, -1\/4, 1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585610 is divided by 192.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s. Let r(i) be the first derivative of 13\/2*i**2 - 43 + 0*i. What is r(k(p))?\nAnswer: 39*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q**3 + 30 - 65 + 3*q + 33 to the form b*q**3 + p + g*q**2 + i*q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -c3b5?\nAnswer: c3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12544 divided by -4.\nAnswer: 3136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + 240*k**2 - 1586*k - 9339. What is w(-126)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 927, 3389, 8189, 16107, 27923, 44417, 66369?\nAnswer: 94559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26220916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4257, 17099, 38545, 68625, 107369, 154807, 210969, 275885?\n\"Answer: 5*v**3 + 4272*v**2 - 9*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -11283?\nAnswer: -1128.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -4 (b) -1 (c) 2\/33 (d) -0.3 (e) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 10*v**3\/7 - 309*v**2\/7 - 36*v - 32. Solve r(u) = 0.\nAnswer: -2\/5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569121?\nAnswer: 3, 7, 41, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + -0.1. Let p = f - 0. Let w = 0.5 + p. Put -0.4, w, 2 in descending order.\nAnswer: 2, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1293 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 4:08 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((800\/20)\/20)\/(3\/51)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5.3, 1496 in descending order.\nAnswer: 1496, 17, -5.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 18. Let i = -220 + 195. Let m(f) = -f**2 - 21*f + 98. Let c be m(i). Which is bigger: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u + 11*u)*(2 + 4 - 4)*(-3 - 3 + 5)*(94*u**4 + 98*u**4 - 199*u**4).\nAnswer: 196*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-2)\/((-2996)\/(-2326)). Let t = c + 2\/107. Let w = 4 - 4. What is the closest to 1 in -5, t, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (7 + -3) - (0 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3813.96 - 3991. Round t to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + 71. Let x = -60 + t. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/4)\/((a\/((a**(-5\/7)*a)\/a*a))\/a) assuming a is positive.\nAnswer: a**(1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**3 + l**2 + 3*l - 3. Let m(w) = -2*w**3 + 2*w**2 + 3*w - 2. Let v(d) = 3*j(d) - 4*m(d). Suppose q - 2*p + 10 = 4, -3*p - 1 = q. Calculate v(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16721 divided by -1834?\nAnswer: 16721\/1834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/3*k**3 - 14\/3*k + 4*k**2.\nAnswer: 2*k*(k - 1)*(k + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*n**4 + 52*n**3*s**3 + 75*n*s**3 - 2*n*s**2 + 1 wrt n?\nAnswer: 84*n**2 + 312*n*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 11*d**2 + 67*d - 2. What is the least common multiple of 21 and k(13)?\nAnswer: 3717","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(((t*(t\/(t*t\/t**(6\/13)))\/t*t*t*t)\/t)\/t))\/t)\/(t**(-2)\/t)*t**(-20)*t**(-3))**40 assuming t is positive.\nAnswer: t**(-10120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20524 + -10654?\nAnswer: -31511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 7*v - 42. Which is the closest to -0.1? (a) -2\/5 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 2*c. Suppose c*p - 40 - 8 = 0. Let y be (-2 + p\/9)*-3. Solve y*s = -4*m + 6, m + 21 = -5*s - 0*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j + 7. Let g be (-85)\/(-20) - (-1)\/(-4). Let n be (-81)\/(-18) + 2\/g. What is the tens digit of o(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - (11 + 9 - 27)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -4 (c) 2 (d) -5 (e) -1\/57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/224 and -87\/14896?\nAnswer: 29792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37561 - 42*d + 37561)*(2*d - 2*d - d) + (3*d + 0*d - 4*d)*(d + 2*d - 4*d) to c*d**2 + k + b*d and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 - (-31)\/4. What are the prime factors of (-2 - -1 - -3) + v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + (-24)\/14*(-21)\/(-6). Suppose 13*g - 15*g + 1051 = s, k*s - 2137 = 3*g. Calculate the remainder when s is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 648414910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-21) + 5\/(-75)*-5. What is the closest to 1\/3 in 0, 1\/3, v, 2\/71?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -661014?\nAnswer: 661017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/2)*q*q)**(3\/19)*q\/(q*(q\/(q**(-7)\/q)*q)\/q)*q*q**(-7)\/q)**(-3\/13))**(-1\/14) assuming q is positive.\nAnswer: q**(-1779\/6916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1855, -3, -300 in descending order.\nAnswer: -3, -300, -1855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*q)*(-370 + 183 + 182)*(3*q**3 - 2*q**3 + 0*q**3) - 1433*q**3 + 1433*q**3 + 3 - q + 2*q**4 - 3*q**2.\nAnswer: 12*q**4 - 3*q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*i = -2, -2*i - 1 = -3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3861444 by 7.\nAnswer: 3861444\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p\/(p\/((p**3\/p)\/p)))\/p))\/p)\/p)**13\/(p**6\/(p*p*p**11)) assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 7*b - 2. Suppose 0 = -39*i + 34*i - 20. Let o(p) = p**2 + 6*p - 2. Give i*o(k) + 3*r(k).\nAnswer: 2*k**2 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10772*s + 32299*s - 10757*s - 6*s**2 - 10770*s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3 + 4948*u**2 - 4837*u - 544170 = 0. What is u?\nAnswer: -10, 11, 4947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20844 and 18675.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)\/s)\/s**(-1\/15)*s**(-3)\/s**(-7) assuming s is positive.\nAnswer: s**(56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -313644.\nAnswer: -31364.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 3 + 1\/2*z**2 + z. Differentiate m(u) wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109073510 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3986, 7976, 11966, 15956, 19946, 23936?\n\"Answer: 3990*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 496\/24 - (-2)\/(-3). Let t = 149 - 99. What is the greatest common factor of t and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -13. Suppose -i = 2*n + u, 5*i + 18 = -2*n - 2*n. Let f be (-50)\/15*6\/(-4). Sort f, 0, n.\nAnswer: n, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by -60.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -7, -13, 9 in decreasing order.\nAnswer: 9, 1, -2, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + -6 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292126857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3166 + 246. Suppose -5*s + 1180 + h = 0. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*w - 30293 = 166*w - 10143 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.7, -6, 3, -24?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 less than 22190.92?\nAnswer: 22191.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:35 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*w**5 - 18*w**4 + 18*w**3.\nAnswer: -2*w**3*(w + 3)*(4*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 302.6531 nanograms?\nAnswer: 0.0000000003026531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/1 + -633)\/(3 + -1). Let t = -14 - h. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**8)\/(h\/(h**0\/h)))\/(h**(-2\/5)*h**(1\/2)) assuming h is positive.\nAnswer: h**(-91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9833, 9868, 10045, 10436, 11113, 12148, 13613, 15580?\nAnswer: 18121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u - 830 = 0. Is u\/(-6) + 5\/(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(5)*-4)**2 + 2.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7*h + 12 = 0. Suppose 25 + 107 = h*i - 3*z, 0 = -5*i + 3*z + 222. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 + -1 + (44 - 194).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - o - 17. Suppose -70 + 50 = 5*q. Let a be i(q). Suppose -a = -b - 8. What is the third biggest value in -1, b, -3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*w = -6*z + 25515289, -5*w = -5*z + 42525495. Let g = z - 101979955\/12. Let i = 6763 - g. What is the common denominator of i and 57\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035735056 to 4 decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/512 or -1?\nAnswer: -3\/512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3858410381.\nAnswer: 7, 31, 2540099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*z + x, -4*z + 3*x = 4*x - 28. Let m be (-2 - -4)\/(9\/(36\/z)). Which is the second biggest value? (a) m (b) 2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0324 + -11.9676. Is 4\/3 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**36)**31)**(3\/20) assuming d is positive.\nAnswer: d**(837\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d. Let y(w) = 10*w**2 - 43471. Determine a(y(v)).\nAnswer: -40*v**2 + 173884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -40377*x. Let i(f) = 138*f. Determine t(i(m)).\nAnswer: -5572026*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1565 in 24, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 7*q**2 - 5*q - 4. Let c be l(8). Suppose 2 - c = -6*s. Solve -v**3 - s*v**3 + 15*v - v**3 - 10 = 0 for v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/81)\/((-10)\/4*29\/435). Which is the closest to -3? (a) -397 (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**5\/20 - 7*b**4\/12 - b**3 + 6*b + 3. Let s(p) be the first derivative of z(p). What are the prime factors of s(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 221\nAnswer: 22\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.42 - -0.72. Let n = d - -0.3. Round n to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 12 + (1 - -2 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 66657 + 66657.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.2 - 12.7. Let g be (-15 - 0) + (-4)\/(-2). Let o = -8 - g. Which is the closest to -2\/5? (a) o (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.396054 nanoseconds in milliseconds?\nAnswer: 0.000004396054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p = 0. Let i = -44.1 + -11.9. Let s = i - -55.6. Which is the second smallest value? (a) p (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.20914 - 0.13417. Let g = -0.075 + x. Round g to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 911199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = -26*l + 276. Solve x + l*x = -42 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 358*h + 353. Let u be t(-1). Which is the nearest to -2? (a) -0.4 (b) 180\/11 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 6, 1\/1104?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -386336 - 86?\nAnswer: -386400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 64014775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3 + 3 - i + 5*i. Let j(a) = 2*a. Determine z(j(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 611 and 1457?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-7))\/(l*l**(-31)*l)*(l**10)**(15\/2))**(-5) assuming l is positive.\nAnswer: l**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*g**3 - 28*g**3 - 16*g**3)*(5 + 0 - 3)*(2 - 2 + 1) + g**3 + 9*g**2 - 8*g**2 + 1 + 0.\nAnswer: -37*g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 154*x + 697. What is the remainder when b(-4) is divided by 63?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -203\/1362 - 4\/227. Put 3, -0.1, k, -2\/7, -0.06 in descending order.\nAnswer: 3, -0.06, -0.1, k, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 19*f**2 + 88*f + 13. Let k be r(-8). Let v be k\/(338\/637) + (-2)\/4. Calculate the greatest common divisor of v and 840.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36439636 and 8104?\nAnswer: 72879272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 725.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 + 3 = -18*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 312 + -151. Let k = o + -135. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.60471*3.1.\nAnswer: 11.174601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m. Let o(n) = 67*n**2 + n + 104. What is u(o(t))?\nAnswer: -134*t**2 - 2*t - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-260))\/((-1)\/64*-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -3*y**5\/5 + 27*y**4\/2 - 81*y**3 + 168*y**2 - 144*y + 3115. Find j, given that a(j) = 0.\nAnswer: 1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + n + 10 = 4*w, 0 = -2*n + 4. Suppose w*m - 715 = -m. Suppose 58 + m = 3*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4. Let v(i) = 9*i + 40. Let o(d) = -v(d) + 2*y(d). What is the hundreds digit of o(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1403 is divided by 231.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -1\/4, 38\/35, -1.5, 5, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 8. Let p be z(6). Suppose -3*j = -4*l - 8*j + 214, p*l = -3*j + 210. Let v = -5 + l. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-13)\/n)**9)**40)**(-1\/23) assuming n is positive.\nAnswer: n**(5040\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 10*d - 6127. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**3 - 4 + 4 + ((-2 + 2 + 1)*(0*s + 2*s**2 + 0*s) - s**2 + 2*s**2 + 0*s**2 - 4*s + 4*s + s**2)*(-16 + 6 + 8 - 7*s).\nAnswer: -31*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 657557, 2630216, 5917981, 10520852?\n\"Answer: 657553*o**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*h**4\/5 + 13*h**3 - 2*h**2\/5 = 0. Calculate h.\nAnswer: 0, 1\/32, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 728443 to the power of 1\/2, to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -285 - -280. Let w(m) = -27*m**3 + 5*m**2 - 7. Let j(t) = 13*t**3 - 2*t**2 + 3. Calculate f*j(u) - 2*w(u).\nAnswer: -11*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/2 + 4365*k + 17452 = 0. Calculate k.\nAnswer: -8726, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r**2 - 5*r + 1. Let h(l) = 31*l**2 + 14*l - 3. Let q(c) = 4*c - 95. Let v be q(28). Let f(p) = v*t(p) + 6*h(p). What is f(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 3, x: 1}. What is prob of picking 1 e and 2 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 13*k**3 + 7*k**2 - 4*k - 4. Let q(m) = 4*m**3 + 2*m**2 - m - 1. Suppose -14 = -4*l + 6*l, 4*x - 2*l = 42. Calculate x*q(a) - 2*s(a).\nAnswer: 2*a**3 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by 8715.\nAnswer: -11\/1743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 8.1. Let s = l + 0.2. Let i = 1.2 + s. Which is the third smallest value? (a) -0.2 (b) -1\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 11 + 26 = 3*q, 3*q + 4*a = 17. Suppose 5*l + q*l = 16. Suppose 30 = 2*f + 4*c, c = 4*f - c - 10. Sort -6, l, f in decreasing order.\nAnswer: f, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.62 to the nearest integer.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(102)*2*1 - (sqrt(102) + 2*sqrt(102) + sqrt(102) + sqrt(102) - sqrt(102))*2))\/(-6*-6*-2*sqrt(216)) + -1.\nAnswer: -1 + sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*a**4 + a**4 + 19*a + 3*a**4 + 6*a**4 wrt a?\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/20)\/(6\/(-15)). Suppose 2*u - 4*j = -p, -14 = -4*u + 2*u - 5*j. Suppose -6*k + 6*k**2 + 7 - 4 - k**2 - u*k**2 = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7514903356?\nAnswer: 2, 6947, 270437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 237709698683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -42) + (4 + -6 - (9 - 10))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8 = -4. Which is the third biggest value? (a) m (b) -5 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9666.1393523 - 83.\nAnswer: -9749.1393523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.2699262\nAnswer: 0.10797048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*v - 32*h, -25*v + 2*h + 79 + 71 = -2*h + 3*h for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) 2\/7 (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*r**2 - 7*r**3 + 20*r**3 + 550*r - 161*r - 2*r**4 - 13*r**3 wrt r?\nAnswer: -24*r**2 - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22909 + 41028. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 = -0*l. Suppose 2*a - 3*z = 2*z + 44, -52 = -l*a + 4*z. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-7)\/(-1)))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 - 2*t + 2. Let q(p) = -690*p**3 + 48*p - 48. Give -120*h(s) - 5*q(s).\nAnswer: 3210*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9781\/360 - -217\/8. Let s = 1 - 3. Which is the third smallest value? (a) f (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184470040 rounded to the nearest 1000000?\nAnswer: -184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**3 + 8*c**2 + 14*c - 20. What is the smallest common multiple of y(-5) and 40?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 1. Let t = 16.53 + -13.9. Let x = -2.7 + t. Which is the smallest value? (a) 2\/7 (b) x (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 901, 1142, 1383, 1624, 1865?\n\"Answer: 241*j + 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 701.68 kilograms to milligrams.\nAnswer: 701680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44356 is divided by 3168?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-558)\/(-1116)*(1 + -2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*p - 76, 2*p + 0*r - 69 = -3*r. What is the greatest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/43, -1, 0.0553, -4 in increasing order.\nAnswer: -4, -1, -2\/43, 0.0553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k - 54 = 0. Let c(a) = -3*a + 1. Let w be c(-4). Let u = -7 + w. Calculate the smallest common multiple of k and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 4*o**2 + 4. Suppose 33508 = 18*f + 33670. Let h(a) = 0*a**3 - 4*a**3 + 6*a**3 - 8 + 9*a**2. Determine f*g(j) - 4*h(j).\nAnswer: j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*o - 2*o**3 + 5*o**3 - 13*o - 14*o + o**2 + 1 + o**2 to i*o + k*o**3 + g*o**2 + n and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -139*z - 7 + 7 + 0 + 156*z. Let n(v) = -v - 2*v + v. Calculate n(w(q)).\nAnswer: -34*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeefeeeeeeeeee. What is prob of sequence fee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 3 - 4 + 11 - 2. Let z(d) = -d**2 + d + 10. Let h be z(3). Suppose 5 = -2*i + 7. Let j(v) = -v - 1. What is h*j(o) + i*y(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03946 and -0.5?\nAnswer: 0.01973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 38, 22, 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-20)*96\/(-72).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 997 - 773. What is the remainder when g is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*-3*6 + sqrt(80)*-3 + 2 + sqrt(80))*-5)**2.\nAnswer: -8000*sqrt(5) + 800100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011001011010111111101 (base 2) in base 10?\nAnswer: 5027325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - g - 4*g = -26, -2 = -2*n + g. Find x, given that -845*x**3 + 848*x**n - 36*x**4 + 24*x**2 + 12*x + 12*x**2 - 15*x**5 = 0.\nAnswer: -2, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2319409917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030963 to 4 dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**2 + 9*y + 133. Let h be d(5). What is the nearest to -1\/3 in -1\/2, -1\/11, h, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -412 - 483317894.\nAnswer: -483318306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 24157 = 5806. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 335179071 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/8, 0.1, -0.4, 0, -231977 in increasing order.\nAnswer: -231977, -0.4, 0, 0.1, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 13 = -17. Solve -4*l + 6 = -t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 - 30*s - 38*s - 29*s + 97*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7576 and 141835978?\nAnswer: 1894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*y + 2 - 36 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-3))\/(-11*(-18)\/297). Put -5, q, 56 in decreasing order.\nAnswer: 56, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 33923*b + 1. Let a(z) = 14*z**2. Calculate f(a(v)).\nAnswer: 474922*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at most as big as -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 4 - (-95 + 88)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1242, -2, 0, 15 in descending order.\nAnswer: 1242, 15, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -9. Suppose l = 2*w - 3, q*w - 2*w = 4*l + 4. Solve 2*i - 1 = l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -94.26, -1, -3, 5\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from {e: 1, c: 2, l: 1, r: 1, d: 2, n: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -1042, -3377, -7856, -15193, -26102, -41297?\nAnswer: -61492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 5314497. Let s(k) = 3*k. Calculate s(t(a)).\nAnswer: -9*a - 15943491","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 5, 5\/3, 0.53, -4 in descending order.\nAnswer: 60, 5, 5\/3, 0.53, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 9:24 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 225536853 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*d - 23898 = 518*d - 38465 - 30957 for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*b - 20*b + 21*b + 20*b as z + n*b and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 891, 3564, 8017, 14244, 22239, 31996, 43509, 56772?\n\"Answer: -m**3 + 896*m**2 - 8*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 606.4 + -81.4. Let m = o + -558.1. Round m to zero dps.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 535 - 1041. Let q = -298 - z. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -904394 or -904388?\nAnswer: -904388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0312 - 7.9688. Let r = -2 - -4. What is the third smallest value in v, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) - 6105\/(-660) - -17877. What is the highest common factor of 33 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 11056*r - 2. Let z(m) = 19*m**2. Give n(z(w)).\nAnswer: 210064*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (374\/(-132) + 2 - (-62)\/(-12)) + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 141*n**2 - 1199*n + 1057. Determine s(149).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*s**4 - 73*s + 2854 wrt s.\nAnswer: -68*s**3 - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 64*s**2 + 1231*s - 3733. Determine x(3).\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3220233303 (base 4) in base 6?\nAnswer: 32233323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*i = 10, 7 = 16*b - 15*b + 2*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -9698 and 1.58 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -11)\/(-12) - 6\/((-125)\/(-60) - 2)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/70 - (-38)\/14. Let j be (d\/2)\/((-15)\/(-520)). Calculate the greatest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - 6*d + 6*d + 8*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*n = -16407 + 249715. List the prime factors of n.\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) 4 (b) -4 (c) 399\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x. Suppose 0 = -4*a + 8 - 4. Let p(o) = -o**3 + 2*o**2 + 5*o - 5. Let g(j) = a*z(j) - p(j). List the prime factors of g(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.684 + -1.98. Let o = m - -2.296. What is the closest to 2\/7 in o, -0.04, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*p + p**2 + p + 9*p wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15532788 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6688 = 84*q - 232*q - 156*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(3 + 12 - 7)*(-7 - 6 - 2*x + 6).\nAnswer: 32*x + 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1 + 10 - 1 - 5 + 10*s. Calculate k(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 1) + -1 + 21. Suppose 3*n - 3*w + 24 = 0, 2*n - 3*w - 6 = -s. Let f = -3 - n. Solve 3*z - 11 = 5*t, -3*t + 2*t = z + f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 697444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 170262730 a multiple of 1262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 28?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**5)\/((t\/(t*t**(-2)))\/t)*t*(t\/(t*t**3))\/t*t**(4\/9)*t assuming t is positive.\nAnswer: t**(-59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s - 5. Suppose 9*p + 5*p - 24 = -10*p. Let r be 1 - (1 + 2) - -6. Put p, r, s in descending order.\nAnswer: s, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3164.344*35\nAnswer: 110752.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.26 - 0.26. Let r = 0.2561 + 0.0439. Let n = -96\/5 + 359\/20. What is the closest to x in n, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1\/7, 1\/5.\nAnswer: -8, 1\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2223, 4448, 6673?\nAnswer: 8898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6064813 is divided by 178.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -196\/3*x**3 + 8 - 100*x + 0*x**2. What is the derivative of p(j) wrt j?\nAnswer: -392*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - n - 16 = 2*p, 3*p = -2*n - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 5*u**3\/6 - 33*u**2\/2 + 5*u. Let k(i) = -3*i + 12. Let v(d) = -17*d + 72. Let a(x) = -6*k(x) + v(x). Calculate a(l(b)).\nAnswer: 5*b - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -23.7763\nAnswer: -9.51052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4014 (base 5) in base 7?\nAnswer: -1325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -223501254 (base 6) in base 15?\nAnswer: -55e484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.36 + -16.36. What is the second smallest value in 2\/157, x, 5?\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 0 = -12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -562 - -854. Suppose 4*s - 341 = -3*u + t, 844 = 4*u + 3*s. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ab56 - -17c?\nAnswer: -a9a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21042203 (base 5) to base 14\nAnswer: -47930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.9987 - 0.0013. Let s = -2 + 1. What is the closest to s in -3, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, z: 12}. What is prob of sequence zjj?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + a6a2b8?\nAnswer: a6a2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53544 + 15*z**2 - 53544 + 6*z**3 - 21*z.\nAnswer: 3*z*(z - 1)*(2*z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, -0.1, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1906 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 + 2*y**2 + 10. Let p be c(3). Let l = p - -69. What is the highest common divisor of 24 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 2 + (-5 + 4 + 3)*(21 + 11 - 33))*(-3*h + h - h) in the form z*h + b and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 37. Let n = g - -44.5. Which is the third biggest value? (a) 1\/4 (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(1539)*-2 - (-2*sqrt(228))\/sqrt(12)) + sqrt(19) + sqrt(57)\/(sqrt(15)\/sqrt(5)) + 0)**2.\nAnswer: 10051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c - 112 + 57 + 45 - c**2. Let x(l) = 2*l**2 - 12*l + 24. Let k(b) = -12*p(b) - 5*x(b). Let f(g) = -3*g - 2*g - 2*g. Determine f(k(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2300*b**3 - 48*b**2 + 4*b wrt b?\nAnswer: 13800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46366 (base 7) to base 8.\nAnswer: 27121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*d + 86 - 12, 2*u - 29 = d. Let j(h) = 3*h**2 - 3*h + 5. Let y be j(4). Suppose 3*v - y = -2. Calculate the greatest common divisor of u and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/13 - 402*q**4\/13 - 15790*q**3\/13 + 1109658*q**2\/13 + 5259744*q + 14980680 = 0. Calculate q.\nAnswer: -97, -78, -3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 9*k**3 - 1 + 21*k - 31*k + 5.\nAnswer: -9*k**3 - 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15584 = 5*o + 949. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**4\/24 + f**3\/2 + 2*f**2. Suppose 2*m = 3 + 7. Let s be z(m). Sort -3, 1, s in increasing order.\nAnswer: -3, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 18\/35 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 + 11*f + 8. What is the tens digit of u(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97*-21\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 226805234.9 - 236440436. Let l = p + 9635203.09999995. Let o = -2 + l. What is o rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 - 49. Let a(p) = -2*p + 7 + b*p**2 - 54*p**2 - 5*p. What is a(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -15. Let r = 8 - k. What is the third derivative of -3*o**4 + 10*o**2 - r*o**2 + 6*o**4 wrt o?\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, z: 3, i: 2, t: 1, j: 4}. Give prob of picking 2 n, 1 z, and 1 t.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -206, -301, -400, -509, -634?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 1495.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230823 and 31603284.\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/3 - ((-9 - 6) + -4). Solve 0 = 4*z + 36 - x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*r - 20, -3*r - 10 = -4*q + 4. Suppose 0*s - q*x - 134 = 2*s, -3*x - 269 = 4*s. Round s to zero decimal places.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115441?\nAnswer: 67, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8028 times -204\nAnswer: 1637712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -40. Let m(a) = -a + 16. Let d be m(g). Solve d + 0 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154121526 - -1.603\nAnswer: -154121524.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(2057) + 2 + -1 + sqrt(2057)*2)*6.\nAnswer: 198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a + 1. Let c(s) = -4*s. Determine c(t(g)).\nAnswer: 32*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -86 and -0.2021932.\nAnswer: -86.2021932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 8938*j + 8943*j = 225, 0 = 13*u + 13*j - 585 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 547.7442g to kilograms.\nAnswer: 0.5477442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 12 + 3. Let n = -0.4 - 2.6. What is the third biggest value in n, 0, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9920300 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/6)\/((-170)\/(-28) + -6). Let l(q) = -3*q**2 + 11*q - 5. Let y(p) = -5*p**2 + 19*p - 11. Let f(x) = r*l(x) - 4*y(x). Determine f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884 (base 11) in base 14?\nAnswer: 55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2019 and 5384.\nAnswer: 16152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/53, 2.3, 0.2?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18804 is divided by 298?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-72) - (-112)\/18. Solve 4*l - s - 2*s = n, 5*l - 4 = 2*s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = l, 8*f - 2*l - 12 = 4*f. Suppose 5*x = 5*i - 30, i - f*x = 4*i - 6. Suppose -i*h = -50 - 18. Is h bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -398\/35 + 88\/7. Let l(i) be the first derivative of 1\/2*i**6 + 2*i**3 - t*i**5 + 0*i**4 - 1 + 0*i - 3\/2*i**2. Factor l(f).\nAnswer: 3*f*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147\/588)\/((-6)\/(-16)*(-2)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115333 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, 4, -14, 2 in descending order.\nAnswer: 4, 2, -14, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411*p + 2380 = -406*p. Let m be 68\/p + 1\/(-7). Solve 3*s - 4*z = -m + 20, 3*z = -4*s + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = a - 10, 3 = -a + 1. Let f(m) = -m. Let i(c) = -14*c. Let s(b) = k*f(b) - i(b). Let d(t) = -2*t + 0*t + 3*t. Determine d(s(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.6?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -734139*x**2 - 629297*x - 30 = 0. What is x?\nAnswer: -6\/7, -5\/104877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3702013176?\nAnswer: 2, 3, 67, 853, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320\/(-15)*((-990)\/80 + 12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77788 + 77788.4. Let u = 22 + -111\/5. Put u, 5\/4, k, -5 in increasing order.\nAnswer: -5, u, k, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7557*d**3 - 9360633*d + 9360633*d.\nAnswer: 7557*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-6))\/(3\/(-3)))\/((-50)\/25).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3\/11 - 6*v**2\/11 + 8\/11 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -159\nAnswer: 47.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8385 + 1.1385. What is the smallest value in b, -1\/10, 14?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 + 2)*(-f**2 - 2 + 2) + f**2 + 2*f**2 - f - 2*f**2.\nAnswer: 5*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*h + 4*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 1 - (41 - 37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683210\/3570 + (-2)\/42 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1581, 4, -1, -3, 27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(437\/(-608))*-2*1\/4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -2\/33, 486\/7 in descending order.\nAnswer: 486\/7, 1\/6, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*d = -1499 + 1473, y = -5*d + 42 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**4\/6 - 2*l**3\/3 - l**2. Calculate the least common multiple of f(3) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 103815 = 17196. Suppose h = 20*d + 2183. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 8*s**2 - 2*s + 18. Let w be a(8). What is the units digit of ((-2761)\/(-9) - w) + 76\/342?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -51.6.\nAnswer: -52.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 4. Let l be w(-3). Let h be (l - (-12)\/(-4))*-3. Is ((-3438)\/h)\/(6\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57697\/12478 + -17\/734. Let a = r + 5\/34. What is the common denominator of a and (1\/(-44))\/((-2)\/(-212))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -593288922*d**2 - 454657962*d wrt d?\nAnswer: -1186577844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u + 2*l, -72*u - 7*l = -69*u - 12. Solve 0 = u*x - 275 + 251 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7114500 divided by -4650?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 860445 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.194.\nAnswer: -0.0582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -96*y + 4. Let q be c(-2). Suppose 6*f - 290 = q. Suppose -f = 19*j - 20*j. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*m**3\/3 + 36020*m**2 + 231527*m\/3 + 10290 = 0. Calculate m.\nAnswer: -15435, -2, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-5))\/g)\/g)**(-43) assuming g is positive.\nAnswer: g**(-172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.17 + -0.27. Which is the closest to z? (a) 3\/5 (b) -1\/3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - 5*b + 35*b**2 + 3*b - b + b**3 in the form c*b + d*b**3 + l*b**2 + p and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 + 2) - (49 + -49).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857988.\nAnswer: 2, 3, 23833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 276*d**5\/5 + 1235*d**4\/12 + 26*d - 12. What is the third derivative of o(b) wrt b?\nAnswer: 6624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 334, 1022, 2350, 4528, 7766?\nAnswer: 12274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -242.27364968 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.481 times -0.058?\nAnswer: 0.143898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000236951967 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -8, -20, -0.21, -11.6, 5?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 6. Let t = -9880 - -9882. What is n(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Let w be 8\/(-90)*-520 - 2\/9. Suppose 16*j + 360 = w*j. Sort 5, j, h, 3 in decreasing order.\nAnswer: j, 5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1308*k**2 + 2869*k**2 + 627*k**2 - 553*k**2 + 1898*k**2 as f + l*k + z*k**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 726752 and 408798.\nAnswer: 6540768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*v**2 - 165*v**2 - v**2 + (17*v + 16*v - 6*v)*((3 + 0 - 4)*(-3 + 3 - v) + 2*v - 3*v + 2*v - 6*v + v + 4*v).\nAnswer: -204*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**3\/2 + 2050*y**2 - 283465*y\/2 - 2194465 = 0. Calculate y.\nAnswer: -13, 91, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*f - 0*f - 25, 4*f = -3*z + 23. Suppose 2*n = -f*n - 12. Let h = -0.7 - -0.9. What is the nearest to 0.2 in h, 0.1, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from ammapamgmmgggpa?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -36 - (-20 + 30 - -54).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.64 + -45.96. Let y = w - -47. What is the second smallest value in y, -0.3, 3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 s, and 1 b when four letters picked without replacement from zjbrrszzjsruzjus?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o = 2*j - 8, 4*o + 3*j = -87. Let a = o - -12. Let c(w) = -3*w + 2. Calculate the lowest common multiple of 6 and c(a).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/5))**(-47)\/(p**(1\/21))**(-48) assuming p is positive.\nAnswer: p**(-1894\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3384 and 5076?\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 254195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64078*c**2*q**3 + 447*c**2 - 2*c*q - 3*c + 2*q**4 - 3*q + 3 wrt q?\nAnswer: -384468*c**2*q + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 337*x**4\/2 + x**2\/2 - 907*x + 662. What is the second derivative of y(q) wrt q?\nAnswer: 4044*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*o - 45. Let r(v) = 9*v**3 + 6*v**2 + 2*v + 1. Let n(w) = 8*w**3 + 5*w**2 + w + 1. Let c(l) = 4*n(l) - 3*r(l). What is c(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.18263, 0.29, 3 in descending order.\nAnswer: 3, 0.29, -0.18263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 13 = 3*r, -q + 0 = -3*r - 17. Suppose 4*c - c - 10 = -q*m, 0 = -c - 4*m + 1. Suppose 2*f + 40 = 7*f. Solve 0 = c*x - f - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 - -88. Let w = -12.97 - n. What is the closest to -2\/7 in -1, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 27 + 5 = 0. Let p be (20\/l)\/((-1)\/4). Suppose 48 = 3*a - 2*x, 3 = -p*x + 18. Calculate the remainder when 35 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1177*q + 6538 = -3490 - 37056 - 1173 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/120 and 83\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2532 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 161814299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.2. Let y = 8 - 5. Let z = y + -2.9. Are z and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1136.1 - 1136.3. What is the closest to 37\/11 in -2\/5, 2\/7, -3, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5043612 or -5043613?\nAnswer: -5043612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 - -16.6. Let k = 13.83 - -0.17. Let x = k - l. Which is the closest to 2? (a) x (b) -2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 294.1342 and 0.1.\nAnswer: 29.41342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6012*-341.\nAnswer: -2050092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.83947452181 less than -235?\nAnswer: -233.16052547819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -4. Let j(i) = -3*i - 1. Let d be j(3). Let u = p - d. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/27869 and 43\/232.\nAnswer: 222952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 846.5 + -846.28. What is the third biggest value in 6, 2\/13, p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3193.\nAnswer: 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 250352 divided by 3?\nAnswer: 250352\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1529, -2856, -3937, -4772, -5361?\n\"Answer: 123*d**2 - 1696*d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1330021321 + -21112?\nAnswer: -1330103033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.96 + 6. Let w(p) = p**3 + 3*p**2 - 3*p + 5. Let m be w(-4). Which is greater: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*l = -0*p, 0 = -5*l + 10. Let k = p + -4. Suppose 9 = r - k. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 4, e: 1, m: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10662, -14723, -21492, -30969, -43154?\nAnswer: -58047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -57*k + 18. What are the prime factors of r(-20)?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(28*x**2 + 97*x**2 - 16*x**2) as n*x**2 + i + v*x and give n.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 470*j + 475*j = -3, 0 = -4*z + j - 33 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, -4, -1.11, 8, -0.1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1361590 and 1128.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2505a (base 12) to base 15\nAnswer: -ed07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 36?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -23*(-3 + -3)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9739430.\nAnswer: 2, 5, 101, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) 0 (b) 1 (c) -176 (d) 3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 5*o + 3*b, -o - 16 = -b - 6. Let u = -12 - o. Suppose -4*j - 120 = -i, u*j + 128 = i + 6. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/16)\/((-44)\/(-2112)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 5\/6*r**3 + 0 - 1\/12*r**4 - 5\/2*r**2 - 3*r. Suppose -16 = g - 5*g. Give n(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16977812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_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: Calculate prob of picking 4 p when four letters picked without replacement from jpjppjpppp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - u + 0*u)*(-4*u + 2*u + 3*u) - 2*u**2 + 3*u**2 + 0*u**2 - 18 + 48*u**2 + 18.\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -10, 0, 26, 74, 150, 260, 410?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 3 + -1)\/(-1) - -1. Suppose 3*a - 1073 = -3*n - n, -5*n - 5*a + 1335 = k. Is 34 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0, -0.5, -0.4, -5\/3, -2\/7, 0.1212, -0.03?\nAnswer: 0.1212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2. Let k = 20 - 21. Let l(v) = -10*v**2. Let f(q) = q**2. Let y(s) = k*l(s) - 5*f(s). Calculate y(r(i)).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 455*g + 231*g**4 - 3008*g**2 + 3007*g**2 - 197*g**4 + (-3*g**2 - 2*g**2 + 3*g**2)*(-5 + 3*g**2 + 5) to v*g**4 + t*g + b*g**2 + y + o*g**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b. Let y(p) = -11*p. Let t(c) = 8*r(c) + 3*y(c). Let o(m) = 10*m**2 + 8*m + 5. Let w(k) = o(k) + 4*t(k). Is w(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*x = 2*j, 7 = -3*j - 4*x. Let z be 0\/(-4) + 2*j. Calculate the remainder when 16 is divided by (-2 - -8)\/(z\/(-3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (198\/(-660))\/((-52)\/20 - 1)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 0*n**2 - 5*n**2)*(-n - 4*n + n + (-2 - 3 + 4)*(2*n - 2*n - n) + n - 34 - 11*n + 35).\nAnswer: 65*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000062146162 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 0*u - 2\/15*u**3 - 1\/10*u**4 + 0*u**2 + 5. Determine s so that g(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -892090*p + 2676264. Determine m(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 306, 1285, 3040, 5667, 9262, 13921?\n\"Answer: 16*y**3 + 292*y**2 - 9*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -723, -1091, -1463?\nAnswer: -1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19823*v**4 - 9*v**3 + 5*v**2 - 5*v + 240 wrt v.\nAnswer: 475752*v - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 96 - (-3740 + 3722).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -59, 4.135 in decreasing order.\nAnswer: 4.135, 5\/3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -1, -0.5, -14.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 613115.2 litres?\nAnswer: 613115200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 290*p + 1456, -3*p - 5*g = -78 + 78 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22919)\/1763)\/((-39)\/147)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24 * -0.19\nAnswer: -4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 178360 divided by -13?\nAnswer: -13720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/3 + 29*c**3\/6 + 11*c**2 + 32*c. What is the units digit of n(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 10*g**2 + 2*g - 8. Let p be 3*1 - 2\/(-2 - -1). Let o be v(p). Suppose -o*n + 8*n + 6 = 0. Are n and -1\/14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 11. Let c be z(-7). Let h(l) = -l**2 - 6 - 4*l - 2*l**c + 3 - 2*l**2. Is h(-2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)*-1)\/(sqrt(800) + sqrt(32)))**2*4.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21113 (base 5) to base 7.\nAnswer: -4051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -3081 and -3093 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**4 - 5*u**3 - 12*u + 5. Let c(n) = n**3 + n - 1. Let s(z) = b(z) + 5*c(z). What is the second derivative of s(a) wrt a?\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11322 * -1.5734\nAnswer: -17814.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -249*b. Let h(z) = -z. Calculate h(c(n)).\nAnswer: 249*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*q = 2*p - 3, 4*q = -5*p + 7. Suppose -j - 2*s + 1 = -7, s - 4 = p*j. Suppose j*d - 5*d + 25 = 0, 5*d = -r + 25. Solve -3*w + 4 - 7 = r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 252*u**2 + 2*u. Let j(b) = -16*b. What is a(j(v))?\nAnswer: 64512*v**2 - 32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-594)\/(-4) + 0)*14\/7. Let s = g - 297. Solve 12 = -5*m - 2*j, -3*j = -s*j + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-65)\/819)\/((30\/27)\/(-5))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114659 is divided by 5208?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51994105 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2530190 or 2530177?\nAnswer: 2530177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-9))**(-30)*j\/(j*j*j*j**19*j)*j*j*((j\/((j\/(j*(j\/(j*j**(-9\/2)))\/j*j))\/j))\/j)\/j)**47 assuming j is positive.\nAnswer: j**(21103\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/198)\/(1\/11).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4697 - 7*(-104)\/(-91).\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**8\/840 - 2*v**5\/15 - v**4\/12 - 7*v**2. Let x(f) be the second derivative of s(f). Differentiate x(k) wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -3)*1\/2. Let i(k) = 13*k + 0*k**2 + q*k + 3*k - 19 - k**2. What is the units digit of i(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20\/8*2*(-966)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 e when three letters picked without replacement from {w: 2, j: 4, i: 2, e: 5}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 11*l - 4. Let o be k(-11). Let t be o\/(-14) + (-272)\/(-28). Let n(p) = -p - 2. Let g be n(-5). Solve -25 = g*w - t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 2*n**2 + 5*n - 5. Let a = -205 - -208. Determine y(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2\/(32\/(-40))*(-144)\/15.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/75*950\/(-30).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11118417 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 128\/363921?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**(-1)*t*t)*t)**(-3\/11)*t**(-6)\/(t\/(t*t\/(t*t**(-5)*t)))*((t*t**(2\/5)*t)**(-12))**(-2) assuming t is positive.\nAnswer: t**(3028\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(-1\/4))**(9\/8))**(-11\/2))**30 assuming p is positive.\nAnswer: p**(-10395\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -7. Let t be -2 - (-262)\/12*h. Let j = t + 49\/2. What is the nearest to -0.1 in -4\/5, 2, j?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 + 144. Is h smaller than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**2 - j + 2. Let o(n) = 3*n**2 - n + 1. Let k(u) = 4*m(u) - 5*o(u). List the prime factors of k(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l + 15 = 0. Let s = -7 + 11. Suppose l*v + 122 = 4*y, -y - 3*v + 134 = s*y. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172853 is divided by 93.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -794\/3 + 264. Which is the closest to -1? (a) -4 (b) z (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1 - 6 + u + 4 - 2. Let v be q(-4). Which is smaller: -8 or v?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(239*g - 788*g + 655 + 555*g + (-4*g + 2*g + 0*g)*(1 - 4 + 4) - 2*g + 2*g - g - 3 + 3 + g - g - g + 0*g).\nAnswer: -2*g - 655","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2336.2 - 281.2. Let t = 2055.827 - v. What is t rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(3)*-3 + -2 - (-2 + sqrt(48))) + ((0 + sqrt(3))*-2 - (1 + sqrt(48)))*6)**2.\nAnswer: 504*sqrt(3) + 5328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37793194*v**4 - 230*v**2 + 32558?\nAnswer: -907036656*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3519 to 2 dps.\nAnswer: -2.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10820*a + 2480 = -10758*a for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w + 14. Calculate y(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4\/383 in descending order.\nAnswer: 5, 4\/383, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 194361?\nAnswer: 194364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 2)*(4*c - c - 2*c)*(-2*c + 5*c - 2*c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-28 + 29)*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u + 13*u - 921*u**3 - 1102*u**3 + 505*u**3.\nAnswer: -1518*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3 + (-26)\/(-8)). Suppose 0 = 2*t - 6, -3*h = s*t - 65 - 34. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-4) - (-3 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, k: 4, p: 4}. What is prob of picking 4 p?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1671585 - 1671582 - 751*d - 2819*d in the form t + l*d and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 2955108.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12100112121100 (base 3) in base 16?\nAnswer: -2b6947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (-1 + 1)\/(-3). Let h(u) = u**2 + 5*u + 2. Let s be h(i). Solve 3 = -w - s*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 795323075 and 100185.\nAnswer: 795423260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5530.6 milliseconds in seconds?\nAnswer: 5.5306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 945 = -12*j. Suppose -19 = 2*c - j. Solve -7*a = -9*a - c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5666.729 years in centuries?\nAnswer: 56.66729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/12 - u**3\/2 - 3*u**2\/2 + 12*u - 14. Suppose -7 = 4*b + c, -b - 3*c + 3 = 2. What is l(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, m: 4, u: 8}. Give prob of picking 2 u.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 54. Give x(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*b**3*z**3 + 12*b**3*z + 2*b**2*z**4 - 3*b**2*z wrt z?\nAnswer: 54*b**3*z + 24*b**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 0 = 2*y + 2, -y + 9 = -2*q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 3 + sqrt(13) + 3 + sqrt(832) + -3 - 6*((sqrt(91) + (sqrt(91) - 2*sqrt(91)))\/sqrt(7) - (-1*sqrt(65))\/sqrt(5)).\nAnswer: 3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/22 + -5 + 488\/1100?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 11651470162 and -0.035.\nAnswer: 11651470161.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**7\/126 + 7*o**6\/180 + o**5\/15 - o**4\/6 + 12*o. Let h(p) be the third derivative of g(p). Factor h(n).\nAnswer: 4*(n + 1)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36033322?\nAnswer: 2, 13, 53, 79, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -6. Let o = 4 + t. What is the lowest common multiple of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178481?\nAnswer: 178481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 136 in -5, -535, -1, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 1665992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 3*s**2 + 3*s - 3. Let q be c(-4). Let r be (2\/(-4))\/(q\/(-30)). Is 9 a factor of (-6)\/r + (-174)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-119)\/(-28) - 3\/12. Let i(p) = -5*p**2 - 10*p + 2. Let n(t) = -4*t**2 - 9*t + 1. Let m(b) = 6*i(b) - 7*n(b). What is m(k)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 40*j**2 + 19 + 0 + 44*j**2 + 11*j**2.\nAnswer: 15*j**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + a - 6*a = -198, 0 = a. Let c = 12908 + -13006. Which is greater: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 111? (a) -4 (b) -2 (c) -2.9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.158 - 0.107. Let z = w - -17.949. Let q = z - 12. Which is the third biggest value? (a) q (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 48. Let m = c - -3. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**4\/2 + 960*n**3 - 230400*n**2 + 24576000*n - 983040000 = 0.\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.254 (b) -0.3 (c) -8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 3*u. Let o(k) = -2*k - 16. Let z be o(-8). Let h be (2 - (z - -3))\/(3\/(-6)). Let y(q) = 10*q**2 + 0 - 8*q**h + 0. Determine x(y(t)).\nAnswer: -4*t**4 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 1, -28, 0, 7, 35 in ascending order.\nAnswer: -32, -28, 0, 1, 7, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 99*a**3 - 17*a**2 + 17. Let d(u) = 33*u**3 - 6*u**2 + 6. Determine -17*d(k) + 6*o(k).\nAnswer: 33*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.4 (b) 13 (c) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2749.009 tonnes to micrograms.\nAnswer: 2749009000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 940 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120 + 3514203?\nAnswer: 3514323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(3) + sqrt(3) + 3) - (sqrt(6)\/(sqrt(10)\/sqrt(5)) + sqrt(3)).\nAnswer: 10*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) - (3 + 1 + sqrt(180)) - (-2*1*sqrt(180))**2 - 2*(sqrt(125) + -1 + -1)**2.\nAnswer: -982 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 + 124*j**2\/7 - 5070*j\/7 + 41400\/7.\nAnswer: 2*(j - 15)**2*(j + 92)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 306490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -4012069\nAnswer: -401206.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 198381637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 22*v**2 + 28*v - 110. What is a(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6*4\/(-28). Let k = q - 5\/7. Let z be 4\/3 - 3 - -1. What is the nearest to k in -0.1, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in -3, 2\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105*(-18)\/1134*-48.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1560744 - 840744. Round q to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -2*w - 43 + 31\/2*w**2. Differentiate k(s) wrt s.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x + 31*x + 6 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164*f**3 + 7*f - 81?\nAnswer: -984*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 4*q**2 + 5*q - 7. Let d be (-48)\/(-56)*(-28)\/(-6). Suppose 2*m + 3*b = 16, 7 + 5 = d*m - 4*b. What is u(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20307 less than 20306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 238?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**5 + 3*n**4 + 6*n**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -12. Let z = t + 12. What is the biggest value in -1\/8, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.29, 2, 331\/6?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, 4 in decreasing order.\nAnswer: 9, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-4)\/(-16)*-2. Let j = -3 - z. Solve -2\/3*c**5 + 0 + j*c - 2\/3*c**4 + 2\/3*c**2 + 2\/3*c**3 = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (3 - -10) + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 0.111 (c) 0.14 (d) 220\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 9 - -2 - (-16 - (28 + 2))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.2209 and 0.168.\nAnswer: -0.3731112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 291843, 291992, 292141, 292290?\n\"Answer: 149*c + 291694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 613510 divided by -5\nAnswer: -122702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 0 - 4\/5*x**3 + 32\/5*x**2 + 0*x = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkhtz. Give prob of picking 1 k and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6828.\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*b + 5*r, b - r - 10 = -b. Suppose -2*c = 3*n - 5, -2 + 19 = 5*c + 3*n. Let t be ((-8)\/6)\/(c\/(-24))*2. Solve -b*w + t = -0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -1\/140*x**7 + 1\/40*x**5 - 1\/16*x**4 + 7*x + 1\/80*x**6 + 0 + 0*x**3 - 5*x**2. Solve m(h) = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 6639*p**4\/4 - 9493*p**2\/2 - 2*p - 8118. Find the second derivative of i(b) wrt b.\nAnswer: 39834*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4171, 4009, 3761, 3433, 3031, 2561?\n\"Answer: l**3 - 49*l**2 - 22*l + 4241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urwpr. What is prob of picking 1 u and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 10:10 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)\/((x\/x**(-17)*x)\/x)*x**(4\/11)*x*x\/(x*x**(-3\/7)\/x*x) assuming x is positive.\nAnswer: x**(-1633\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/(p\/(p*p\/p**(-6))*p))\/(p\/p**4*p**(-1)) assuming p is positive.\nAnswer: p**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 4259 + 4268 - 8527. Let z(b) = -355*b. Give u(z(k)).\nAnswer: 710*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 + 17*n - 1. Suppose 2*v - 4 = -h + 3*v, -3*h + 17 = 2*v. Let q be x(h). Solve q - 17 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5763 - -10444. Calculate the highest common factor of m and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84765 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69171434 by -11.\nAnswer: -69171434\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -4) + -14 + 20 + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/22331 + 269066243\/133986. Which is smaller: 2009 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*q + 43, -4*q - 25 = -9*q. Solve 0 = m*z - 39 + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25603370 is divided by 1523?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111010110 (base 2) in base 5?\nAnswer: 44110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3654 plus 0.5?\nAnswer: 0.1346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(252))\/sqrt(9).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1482653, -1482662, -1482673, -1482686, -1482701, -1482718, -1482737?\n\"Answer: -l**2 - 6*l - 1482646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 21 + 1 - 4*w + 2*w + 0*w + 16*w**2 as n*w + z*w**2 + i and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -16*u**3 + 240*u**2 - 148*u + 2214. Determine t(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (338 + -398) - (-7 + -15)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) + (sqrt(78) - (sqrt(78) + ((sqrt(78)*1 + sqrt(78))*2 + sqrt(78) - sqrt(78))))))\/sqrt(6) + -3.\nAnswer: -3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151*o**2*u**3 - 2183*o**2*u**2 - 2*o**2*u - 3036*o*u**3 - 36*o*u - 2*o wrt o.\nAnswer: 302*u**3 - 4366*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*n**3 - 627?\nAnswer: 132*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Suppose -d - 6 = -5*f, -7*d + 28 = -w*d + 4*f. Solve 4*j - 12 = -0*j + 4*u, 2*j + d = -3*u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1123, 405, -785, -2441, -4557, -7127, -10145?\n\"Answer: n**3 - 242*n**2 + n + 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6280 divided by -1570\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 422550367 to the power of 1\/2, to the nearest integer?\nAnswer: 20556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 966238 (base 13) to base 7\nAnswer: 41655355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -3\/3007 (c) 1.7 (d) 0.26 (e) 0.1 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m**3 + 114*m**2 + 23. Let c(h) = -3*h**3 - 38*h**2 - 8. Give 17*c(f) + 6*w(f).\nAnswer: -3*f**3 + 38*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + s**2 - 2*s + 1. Let i be v(2). Let d = 18 - i. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66903088 to the power of 1\/2, to the nearest integer?\nAnswer: 8179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3 + 0 + -4. Let a be 3 + -1 - (m + 1). Suppose 883*v - 254*v = 2516. Solve -u - v = a*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-80)\/3 + 1)\/(11\/(-462)). Let a = 1638 - f. What is the highest common divisor of a and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(77)*3)\/(1*sqrt(700)) - (sqrt(132)\/(sqrt(300)*-1) - 4*(sqrt(1584) + sqrt(1584)*-2 - sqrt(11))))**2.\nAnswer: 3055019\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 5*u**4\/4 - 6*u + 2. What is m(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 386 - 225*b + 219*b - 23. What is the units digit of c(49)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/60)\/((-3)\/(-45)). Suppose d - 5*r = 558, 0 = 2*r + p - 5. What are the prime factors of d?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -98.4178, -4, -0.12 in decreasing order.\nAnswer: -0.12, -4, -98.4178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-362.\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2\/2 - 784001*w\/2 = 0. Calculate w.\nAnswer: 0, 784001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*116\/(4 + 0) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -824874, -825388, -825902, -826416, -826930?\n\"Answer: -514*t - 824360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-128)\/(-24) + -5 - ((-2)\/(-6) + 0). Let s(c) be the third derivative of 28*c**2 + 0*c - 16\/3*c**3 - 1\/30*c**5 + b + 2\/3*c**4. Factor s(f).\nAnswer: -2*(f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxcxcxxxxx. What is prob of picking 1 x and 1 c?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*s + 3*s. What is the greatest common factor of s and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18547352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-99)\/(-21) - 4\/(-14). Suppose -33 = 2*b + c*v, 19 = -3*b + 2*b - 5*v. Let a = 1 - b. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + 7. Let h(k) = 2*k**3 + k**2 + 2. Let r = 7 - 5. What is the smallest common multiple of b and h(r)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 16 = -4*o + 12*x, x + 4 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - 0. Is -5 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632530183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = r + 4*r - 25, 0 = -4*o + 20. Let d(y) be the third derivative of -y**5\/60 + y**4\/12 + 7*y**3\/6 + 3*y**2. Let h be d(r). Solve c - h*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/18*24\/32*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*d - 7, -l - 4*d = -6*d + 3. Let i(m) = m. Let b = -7 + 10. Let c(s) = -s**2 - 11*s + 7. Let y(a) = b*i(a) + l*c(a). Calculate y(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -43. Let r = g + 15.5. Which is the closest to 5? (a) 1 (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2871 or 2872?\nAnswer: 2871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 55577*r**3 - 22230*r**2.\nAnswer: -r**2*(r - 11115)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 2:38 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*k**5 + 2*k - 97.\nAnswer: -2920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16367 and 0.5.\nAnswer: -16366.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4364116\/1117 or -3908?\nAnswer: -4364116\/1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 23. Suppose -3*r - k = -3*k - 147, 0 = -3*r - 3*k + 132. Find the third derivative of 76*o**5 - 76*o**s + 21*o**6 - r*o**2 wrt o.\nAnswer: 2520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l + 7*l - 8 + 3. What is t(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*z - 132*z + 855 = 0. Suppose 2*j - 136 = -2*j. Let i = z - j. List the prime factors of i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-66)*((-364)\/(-70))\/13?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -265 by -53.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 + 306*a**3 + 477*a**2 - 17304*a.\nAnswer: -3*a*(a - 103)*(a - 7)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zedkqekh. What is prob of sequence zhqe?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 308 = l, -2*l + 672 = 2*p + 58. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -21*t**2. Let l(j) = 10*j**2 + 2*j - 2. Let d(v) = 102*v**2 + 21*v - 21. Let m(s) = 6*d(s) - 63*l(s). Determine w(m(k)).\nAnswer: -6804*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: -1135d (base 15) to base 9\nAnswer: -83107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 14*d + 2*d**4 - 12*d - d**4 - 3*d**4 as c + t*d + j*d**2 + o*d**3 + p*d**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -46\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 29*c**4\/12 + 4*c**3\/3 - 2*c**2 - 27*c. Is 17 a factor of p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x + 340994 = -72*x + 1481816. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 23445.\nAnswer: -23450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026 divided by 38?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence men when three letters picked without replacement from {s: 4, e: 7, q: 4, f: 2, m: 1, n: 1}?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/5960 and 53\/3263100.\nAnswer: 6526200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2861, 6428, 10007, 13604, 17225, 20876, 24563?\nAnswer: 28292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -19. Let y = 14 - x. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v + 5784 = 4*x, -x = -4*v - 1463. Suppose 4*k = 3*q + 1818, 0 = 2*k + 4*q - x + 527. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-6)*(-42)\/35. Let q(n) = n**3 - 12*n**2 - 2*n + 13. Let c be q(12). Let f = 13 + c. Solve -4*l - i = -f*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3 + 24*v**2 - 54*v + 28 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 10*z + 12. Let w be r(-8). What is the greatest common divisor of 21 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/12 + 285\/60. Solve -b*w + 5*i + 18 = 3*i, 24 = 5*w + 4*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593967 is divided by 3108?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**8\/105 - p**6\/20 - 5*p**3\/3 + 14*p. Let w(x) be the second derivative of b(x). Find the third derivative of w(l) wrt l.\nAnswer: -384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 19. Suppose 2*l - 20 = 5*c - 3*l, 3*l = -5*c + 12. Suppose c*a = 4*a + a. Solve a*d - 10 = 2*w + 2*d, 3*w + q*d = -21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 20794 = 2*p - 2868, -47315 = -4*p + 5*c. List the prime factors of p.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139 or -8556\/61?\nAnswer: -8556\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-779*h + 657*h - 4485*h - 263*h)*(-2 + 3 + 1) to x + l*h and give l.\nAnswer: -9740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7572612 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*c**3 - 21*c**4 - 33*c**3 + (c - c + c**2)*(-2*c**2 + 5*c**2 + 0*c**2) + (0*c - 2*c + 0*c)*(c**3 + 0*c**3 + 0*c**3) + 2*c**4 - c**4 - 2*c**4.\nAnswer: -21*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/10 and -63\/256.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -45*p - 10. Calculate l(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Calculate -74250 divided by 2250.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 12535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 17 = 6*n. Suppose -n*o - 312 = -13*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-138)\/(-6) - 22)\/(-2 + 1). Let w(t) = t - 1. Suppose 13 = 4*g + 9. Let v(p) = -p. What is g*v(q) + j*w(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1958380.\nAnswer: 2, 5, 97919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796 = 7*a - 9*a. Suppose 4*y = -66 + a. What is the remainder when y is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + p + 3650 = -p, p = -2*x + 1469. What are the prime factors of x?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -83 (b) -0.04 (c) 1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 64*r**2 - 16*r - 16. Let v(n) = -21*n**2 + 5*n + 5. Let l(b) = -5*j(b) - 16*v(b). Let p(t) = -3*t. Give p(l(z)).\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1134 + -243112400?\nAnswer: -243111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 9:47 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -40. Suppose -4*v = -r - 15, -k*r + 3*r = -4*v - 5. Let x = -9 - -13. Which is the second smallest value? (a) 0 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2216724 and 11.\nAnswer: 24383964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2887*f - 38 = -2870*f + 3*c, f = -4*c + 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -6) + -7 + (-2 - -4) + -5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 59. Sort -4, -0.2, -2\/9, n.\nAnswer: -4, n, -2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 430295991 to the nearest integer?\nAnswer: 20744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**11\/k)\/k**(1\/21))**41)**(-2\/89) assuming k is positive.\nAnswer: k**(-18860\/1869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/35)\/(2*1)*87375\/10485.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/608 and 111\/56.\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.22? (a) 3 (b) -2\/15 (c) 0 (d) -225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.6, 0.4, -1\/4, 4 in descending order.\nAnswer: 4, 0.6, 0.4, -1\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2)*f)**(-13\/3))**(-21)\/(f**(-1\/16)*f*f*(f*f**(2\/9))\/f*(f**(-2\/5))**(5\/8)) assuming f is positive.\nAnswer: f**(19381\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 - 2*b**2 + b**2 + (-2*b - 2*b + 3*b)*(-b + b + 2*b) + 2*b**2 - b**2 + 0*b**2 + 3 - 3 + 3*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100668 divided by 6.\nAnswer: -16778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:26 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -987565 and -0.6.\nAnswer: 592539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 4*w**2 - 2*w - 2. Let l be t(3). Let z(s) = -5 + 3 + 3*s - l. Let o(a) = 1. What is -3*o(p) - z(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 375 - 371. Let p(d) = d + 4. Let x(n) = -2*n - 9. Let q(m) = 5*p(m) + 2*x(m). Calculate q(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**4\/36 - 2*v. Solve z(w) = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 3. Suppose 5*p + 25 = 4*i + i, 0 = -4*i - k*p + 2. Calculate the least common multiple of 4 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3672874, 3672845, 3672806, 3672757, 3672698, 3672629?\nAnswer: 3672550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 4 (c) -2 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -19. What is the highest common factor of 63 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**3 + 15*w**3 + 31*w + 5 - 30*w. Let u(s) = -6*s**3 - 3. Let i(j) = -5*u(j) - 3*v(j). What is the second derivative of i(g) wrt g?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 27*t**2 - 27*t - 49. Let n(z) = 41*z - 3621. Let q be n(89). What is s(q)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 v when four letters picked without replacement from {g: 4, v: 3, q: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/78 and (155 - 13)*2\/32?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(sqrt(187) + (sqrt(187) - -2*sqrt(187) - sqrt(187))))\/(4*(-3*sqrt(11) + sqrt(11))*-3).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 198 and 91.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/6*-9*(-20)\/(-900). Let a = -0.58 + 0.18. Put -0.5, a, 0.038, c in decreasing order.\nAnswer: 0.038, c, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9572404463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226\/(-10) - 240\/(-15) - (0 + 0 + -3).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6118333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = -3*x, 2 = 5*x - 2*y + 10. What is the common denominator of 3\/(-6) + 231\/24 and (-6)\/10 - (x - 924\/(-160))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478925389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4061.\nAnswer: 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 10*m + 6. Let r be i(4). Let g be (59997 + 3)*(7 + (-60 - r)). Round g to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caanxx. Give prob of sequence xc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -265673.14 rounded to the nearest one hundred?\nAnswer: -265700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1599 is divided by 531.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 = -2*y + 153 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -10. Let t be 12\/c*60\/18. Differentiate -2*a - 6*a**t - 6 + 2*a with respect to a.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/4*(-7)\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(171)\/(sqrt(99)\/(sqrt(44)\/sqrt(4))))*-6*-1 + 5.\nAnswer: -19 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((6*sqrt(42)\/sqrt(6) + 5)*3)**2.\nAnswer: -7479 - 1620*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-6))\/((-10)\/12). Let h(x) be the first derivative of 0*x**3 - 2 - 1\/10*x**4 - f*x + 3\/5*x**2. Factor h(t).\nAnswer: -2*(t - 1)**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121305819.7 rounded to the nearest 1000000?\nAnswer: 1121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 16*o**4\/3 - 34*o**3 - 84*o**2 - 134*o\/3 = 0.\nAnswer: -1, 0, 67\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n - 2. Let d be p(1). Let t be (40\/d)\/((-8)\/(-4)). Calculate the highest common factor of t and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5786, -2, -2\/11, -42 in descending order.\nAnswer: -2\/11, -2, -42, -5786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22133340.93098 and -0.1?\nAnswer: 22133340.83098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 5*h - 31. Let a(w) = 3*w + 16. Determine -5*a(s) - 3*u(s).\nAnswer: -3*s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23767956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/12 + 5*q**3\/2 + 18*q**2 + 26*q. Let h be c(-12). Suppose h = i - 413 - 77. Round i to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 a factor of 288548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -177*j**4\/4 + 2*j**3 + 848*j - 2013. Differentiate o(x) wrt x.\nAnswer: -531*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 31*t**3 - 4*t**3.\nAnswer: 26*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3155*w - 1190*w**3 + 3155*w + w**3 - 3*w**3 + 3*w**3 + (-1 + 0 + 3)*(-2 + 2 + 2*w**3).\nAnswer: -1185*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 27 = -2*f. Let u(n) = -5*n + 1. Let t(j) = -20*j + 3. Let y(c) = f*u(c) + 2*t(c). Differentiate y(r) with respect to r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.9 - 8. Let y = -1207 + 3027. Let g be 800\/y + (-4)\/14. Which is the third biggest value? (a) v (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -28. Let t = q - 2. What is the second derivative of z**5 - 2*z**5 - t*z**5 - 12*z + 0*z**5 wrt z?\nAnswer: -180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2112551 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*j**2*s**3 - 12*j**2*s**2 + 2*j**2*s - 2*s**2 wrt s.\nAnswer: 252*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39*(-20)\/390)\/(-114*2\/9)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1121102110121 (base 3) to base 2\nAnswer: -11010000101011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 + 2*d**2 + d + 2. Let o(l) = 29*l**3 - 8*l**2 - 3*l + 14. Calculate 5*c(h) + o(h).\nAnswer: 19*h**3 + 2*h**2 + 2*h + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -15.3. Let u = 1475629\/9 + -164176. Let p = -217 - u. Which is the second smallest value? (a) -2\/3 (b) p (c) z (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35479000 rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7810*g - 6 + 32 - 28 + 2 in the form s*g + b and give s.\nAnswer: 7810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29401429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-214304)\/14480)\/((-1)\/(-5)*4).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*d - 25, -4*d - 3*q = 2*q + 33. Let z = -7 - d. Suppose 5*m + 4 + 16 = z. Let u(g) = -g**3 - 5*g**2 - 3*g + 3. Give u(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8800736*t**4 - t**2 + t - 147961204 wrt t.\nAnswer: -105608832*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011011101 + -101101011010110?\nAnswer: -100110111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 25*n**3 + 131*n**2 + 9*n - 85. Is j(30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*z + 777488 = -5509, -3*i + 782997 = -5*z. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/70 + ((-28)\/5 - -5). Which is the third biggest value? (a) 0 (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**4\/7 - 15*l**3\/7 + 3*l**2\/7 + 15*l\/7 = 0. Calculate l.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 2 - (-6)\/2. Let x be (8\/6)\/(c\/3). Is (-2)\/x + (2 - -34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -1 + 1 - -69. Let f = t - 111. Let a = -23 - f. Solve -4*g = -5*c - 21, c = 5*c - 2*g + a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19821 is divided by 17987.\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2. Let b(r) be the first derivative of -r**5\/30 - 5*r**2\/2 - 4. Let s(y) be the second derivative of b(y). Calculate o(s(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/61 and 41\/47469.\nAnswer: 2895609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 8:23 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3578442, 3578443, 3578448, 3578457, 3578470, 3578487?\nAnswer: 3578508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(13) - (sqrt(13) - (sqrt(13) - sqrt(78)\/sqrt(6)))) + sqrt(13) + 5 + sqrt(13) + 3).\nAnswer: 10*sqrt(13) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.888802421772 less than -0.125?\nAnswer: -1.013802421772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(112)*-4 + -4 + 2 + ((-1 + sqrt(7) + 5 - sqrt(7)) + -5)**2.\nAnswer: -96*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/6 (b) 3 (c) 1 (d) -1 (e) 17 (f) -84 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**6*h**3)\/(((h\/h**(-2\/15))\/h*h)\/h*(h**(-1)*h*h*h)\/h) assuming h is positive.\nAnswer: h**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 26 + 37. Let d(i) = -922415*i - 3. Let m be d(x). Let c = m + 5398268. Round c to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7, 2\/21, -9, -134\/11?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 5*l + 16)*(-2*l + 4*l - 3*l)*(-4*l**3 + l**3 + 0*l**3).\nAnswer: -15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**7\/252 + 7*n**5\/20 - 11*n**4\/3 + 8*n. Let u(f) be the third derivative of m(f). What is the derivative of u(t) wrt t?\nAnswer: -20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 14441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 3*x + 4 - 8)*(4*x + 0*x - 2*x + (-1 - 3 + 2)*(0*x - x - 5*x)).\nAnswer: -14*x**2 - 56*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*b = 21, -839*k + b = -840*k - 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2*w = 28, 4*w = -a - 9 - 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**5 + 3440*k**4 - 206420*k**3 - 1561190*k**2 - 3424305*k - 2072970 = 0.\nAnswer: -743, -3, -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-39)\/9)\/(1\/(-3)). Put i, 1, -4 in decreasing order.\nAnswer: i, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*l = -5*d - 57*l + 100504, 0 = 4*d + 2*l - 80406. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g. Let u(j) = 10*j - 208 + 208. Give u(s(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -55078 + 150?\nAnswer: -54a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/9 + (-41)\/99*-11. Sort 11, m, -4.\nAnswer: -4, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/4 - -54) + (462\/(-4))\/3?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27615576?\nAnswer: 2, 3, 1150649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8338330 divided by -2618?\nAnswer: -3185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -15. Let m(w) = 4*w + 1 - 5 - 6*w + v - w**3 + 5*w**2. Determine m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + 12?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**4\/7 - 1852*b**3\/7 + 9192*b**2\/7 - 2096*b + 7328\/7 = 0.\nAnswer: 1, 2, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 2\/7, 41.36, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594 - 295 - 4*v**2 - 299.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 3*j - 2. Let b be k(-3). Let r = -1.1 + 0.1. What is the biggest value in r, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = 2*m, 12 = y + 2*y - 3*m. Let l(q) = -5*q + 3. Let n(a) = 6*a - 4. Calculate y*n(g) + 5*l(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) -5\/2 (c) -4\/7 (d) -3\/40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 7*l**2 - 9*l + 12. Let r be u(8). Suppose p = -p + r. Suppose p*j = -0*j + 8. Solve 5 = -w - j*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 44. Sort -3, 0, m in decreasing order.\nAnswer: 0, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 + m**2 + m - 1. Let c(y) = y**3 - 3*y**2 + y + 3. What is -a(f) - c(f)?\nAnswer: f**3 + 2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*y - 11*y - 16*y + 52*y to v + r*y and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 873.000001134 - 873. Round i to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/45*-5*(-11)\/11.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*f - 4*o - 8, 3*o = -4*f + 4. Suppose -2*b = 4*i - 20, 12 = f*i - 8. Suppose t = -b*t. Solve 5*s = -v - t*v + 18, -20 = 2*v - 4*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14 - 42)\/(-1 + 3). Is z greater than or equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 481775.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 6*z + 4 = -4*v, 0 = 2*v - 3*z - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11751247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 > 75136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80487847 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/5, 0.2, -0.08061, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*m - 23, m - 4 = 2*w + 10. Suppose m*y - 15 = -y. Find the third derivative of 0*h**6 + 4*h**2 - y*h**2 + h**6 wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-5))\/(7\/(-280)). Let v = 0 + n. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmhmshmmmshmhmhshm. What is prob of sequence hhsh?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 192.687324+134\nAnswer: 326.687324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 9:52 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021669866 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 218*u + 4805. Let h be m(-22). Which is smaller: h or 11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60008\/2537 or -24?\nAnswer: -60008\/2537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k = -2. Let p = 56 + -170\/3. Sort k, 1, p in descending order.\nAnswer: 1, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 + -53. Let n = 496 - 206. Suppose 11*x - 12*x = 4*q - 293, -2*x - n = -4*q. Calculate the remainder when q is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4863890 is divided by 17126?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64.35 + 0.15. What is h rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 36\/11*d**3 + 112\/11*d - 120\/11*d**2 - 2\/11*d**4 = 0. What is d?\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -100?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022 (base 3) to base 5.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p + 81. Let w be h(-13). Is 1146\/w*1*(-6)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 0*w**2 + 12 + 1\/3*w**4 - 2\/5*w**5 + 0*w + 2\/9*w**3. Let q(d) = 0. Calculate d.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24344355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64.102 + -64. Let g = r + -0.062. Which is the biggest value? (a) -0.1 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - r - 39183 = 0, -19*i - 4*r = -14*i - 195897. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 + 10*v**3 + 4*v**3 + (-v**3 - 2*v**3 + v**3)*(-2 + 2 - 2) + 38*v**3 + 1634 - 1634.\nAnswer: 59*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 9) to base 11\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8657, 17318, 25979, 34640, 43301?\n\"Answer: 8661*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.29515785548 plus -4?\nAnswer: -14.29515785548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.5 - -22. Sort -2, 0.2, 5, t.\nAnswer: -2, 0.2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*y = 14, s = -2*y - 10 + 9. Calculate the remainder when 2098 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -37?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -227.8 - -210. Let s = -18 - h. What is the closest to -0.1 in s, -4, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - 157*h + 52. Calculate u(52).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41689335 to the nearest integer?\nAnswer: 6457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -9*g**6\/2 + 3*g**3 - 12. What is the third derivative of x(j) wrt j?\nAnswer: -1620*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -239 + 240. Put 3, v, -9, 5 in increasing order.\nAnswer: -9, v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314 is divided by 224?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 578412, 1156725, 1735038, 2313351, 2891664, 3469977?\n\"Answer: 578313*y + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 82*s + 1687. Give t(36).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + 3 + sqrt(5) - (sqrt(5) + (0 + sqrt(5))*-3)).\nAnswer: 1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194632*o - 194632*o + 19*o**2.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 133*x**2 - 62*x + 342. Calculate c(-67).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*s - 452309 = -451669 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 132 = -b, -3*b - 7*y + 4*y = -432. What is the remainder when b is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 2*t + 85. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5035.167 and 0.\nAnswer: -5035.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56373 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84451.15 millilitres to litres.\nAnswer: 84.45115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6715559?\nAnswer: 29, 231571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 - 3) + (-2 - 3) + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 11*j + 20. Suppose 4*k + 12 - 147 = -5*u, -4*u + 108 = -2*k. Suppose 4*a - a - u = 0. Let l be n(a). Solve 0 = w, l*t + 0*w - 6 = w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101*l**5*w**2 + 15*l**2*w + 6*l*w**2 wrt l.\nAnswer: -6060*l**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (23730\/2170 - 2\/(-31)) + 54\/1?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 26 - 4. Let g = -51889 - -51894. Are l and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -2*u**7\/105 - u**5\/5 + 18*u**2. Find the third derivative of l(d) wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + w + 1. Let y be b(2). Let p be -6*y*(-3)\/(-9). Solve 0*n - p = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9661, 19324, 28989, 38656, 48325, 57996?\nAnswer: 67669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 161424 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 5*i - 9. Suppose -2*u = 6, 5 = -177*p + 175*p + u. Let o(k) = -k + 1. Give p*o(q) - c(q).\nAnswer: -2*q**2 - q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20210 + -80837\/4. What is the third smallest value in -15, t, 3, -0.02, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 5. Let z = i + -26. Let q = z - -27. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.701 * 0.00429.\nAnswer: -0.02445729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -57, -143, -325, -639?\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*w = 20, 3*r + r + 5*w = 25. Suppose 3*q + 0*q = 4*z - 5, 30 = 4*z + 2*q. Suppose r = z*s - s + 28. Sort 5, s, -4 in increasing order.\nAnswer: s, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6074*m - 455540 = 103268 for m.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8308*h - 4. Let z be m(-13). What is z rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*l - 15, -4*z + l + 6 = 2*l. Solve 0 = r + 6 - z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + n + 4 = 2*t, 3*t - 877*n + 881*n - 14 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 948807204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.7 - 3.5. Suppose d - 31 = 3*f, 3*f - 5*d + 16 + 31 = 0. Let g be (-2)\/(6 + 60\/f). Which is smaller: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1916, -7686, -17302, -30764, -48072?\nAnswer: -69226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, 10, 31, 62?\n\"Answer: 5*a**2 - 4*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3114 take away 154.53188?\nAnswer: -3268.53188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -332404 - -3846104. What is f rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y)**(-2\/85)*(y\/y**(1\/2)*y)**19*(y**(-1\/2)*y**(2\/13))\/(y**(1\/5)*y\/((y\/y**(4\/3))\/y)) assuming y is positive.\nAnswer: y**(84854\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u - 49. Suppose s = u - 46. Let k be (0 - 0) + 1 + 1. Solve y - b = 2, -3*y - k*b = s*b + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 13. Let v = 960 + -960.6. What is the third biggest value in v, 3\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 5. Let y be m(7). Suppose 17 = 4*p - 5*l, -y*p - l = -2*l - 7. Let x(k) = -k**2 + 2*k + 2. Give x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*s + 13, 3*s + 14 = 4*b + 5*s. Let y(v) = -1314*v**3 + 4*v**2 - 4*v + 4. Let q be y(b). What is q rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t - 2*g, 2*t + g = 6*g + 13. Suppose -v = -2*f + t, 4*f + 4*v = -f + 10. Let q(o) = -2*o - f + o**2 + o - 4*o. What is q(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f + 8 = 22*f + 4*x, -8 = -3*f - 4*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -103, -151, -199, -247, -295?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -178 - -183. Suppose k + 0 = m*j + 33, -3*k - 1 = 5*j. Let f(l) = -l**3 + 8*l**2 - 3*l + 14. Give f(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 + 40*j + 21. Let y(m) = 2*m**2 + 4*m + 3. Calculate -o(u) + 2*y(u).\nAnswer: -u**2 - 32*u - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/((-30)\/225).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 321 and 535.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 36 = 34. Let k be (-2)\/x - 1463044\/(-280). Let t = k + -5236. Find the common denominator of 83\/4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11146084*m**3 - 20*m**2 - 19732*m + 11?\nAnswer: -66876504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 97 = 47. Suppose 143 = 4*h + h + 3*t, -4*t = 5*h - 144. Let i = y - h. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -28 + (-34 - -15)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 9\/2*c**2 - 6*c + 7\/3*c**3 + 14 - 1\/4*c**4. Calculate q(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 1:03 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47299*y**2 + 1473352*y wrt y.\nAnswer: -94598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 1. What is the lowest common multiple of m and ((-23)\/(-2))\/(16\/32)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 + 1)*(4*p - 24*p + 6*p)*(-1 + 3 - 1) + (5*p - 3*p - 4*p)*(-2 + 1 + 0) to s*p + w and give s.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17648593667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine thirds of a decade?\nAnswer: 2360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 2 + 3*p**2 - 1. Let w(u) = -10*u**2 + 16. Let h be (-40)\/14 - (-5)\/(-35). Let g = 21 + -37. Give g*m(x) + h*w(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 978383 divided by -345.\nAnswer: -978383\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -9 - 12 + 20 + 2*q - q**2 = 0. Calculate q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/9 + (-20)\/(-45). Let k = -13\/72 + -1\/792. Which is the nearest to 0.08? (a) 1\/3 (b) k (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/2)\/(4 - 7). Suppose -5*b + 37 + 3 = y. Suppose 4*i - b = 40. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, q: 2}. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 9:39 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 16828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4 - -1) + (17 - 28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 36 = 46. Let h(f) = -2206 + q*f + 2206. Let z(k) = -5*k. Give h(z(a)).\nAnswer: -25*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3561, 14660, 33285, 59430, 93089?\n\"Answer: -m**3 + 3769*m**2 - 201*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22116.8 and 2.2.\nAnswer: 48656.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 218 (base 14) to base 10\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5 and -0.5.\nAnswer: -1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41946.34 less than -1696456?\nAnswer: -1654509.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2342 (base 5) to base 12.\nAnswer: 24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 2.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*f = 105*f + 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -196 + 196 - 9*c + 5 - 5 + 2*c + (-5 - c + 5)*(-1 + 1 - 1) + 2 - c - 2 + (1 - 1 + 2)*(183*c + 742 - 742) to j*c + s and give j.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1583 (b) -92 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/13 + 126*w**2\/13 - 2160*w\/13 + 5400\/13 = 0 for w.\nAnswer: 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -c - 19, g = 10*c - 5*c - 17. What is the greatest common divisor of 124 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 16, 0.4, 5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2944 = -228*k + 36*k - 896 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*s - 60 = 0, -8*n + 12*n + 205 = -s. Which is smaller: -201\/4 or n?\nAnswer: -201\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 40 = -4*w, 5*o + 15 = 23*w - 21*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*h + 183, 3*h = 4*j + 139 - 11. Sort j, 4, 22, 0 in ascending order.\nAnswer: j, 0, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Suppose 3*d = -z + 9, i*z = d + 2*z - 10. What is the least common multiple of 17 and d?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*o + 4*f + 6, 3*f = 2*o + 12. Let i(z) = z**2 + 7*z + 8. Give i(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1186816 and 2736.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8*p - 17384 = -13*p, -5*x + 87001 = -2*p. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 12 = -5*l, 43*k - 44*k - 4*l + 14 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -2, -1\/4, 67, -0.0299 in descending order.\nAnswer: 67, 3, 0, -0.0299, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1252, -7, -3, -0.2, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/2 + 1025*g**2\/2 - 2089*g\/2 - 35945\/2 = 0.\nAnswer: -1027, -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q. Let g(w) = -11*w. Let b(j) = -j**3 - 24*j**2 + 22*j - 80. Let v be b(-25). Calculate v*y(d) + 2*g(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - -6)\/((-9)\/2)*-417?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 157616.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -11*v**4\/24 + v**3\/3 - v**2 - 24. Let o(s) = 4*s. What is o(g(r))?\nAnswer: -44*r + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*m = -446*m + 18 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193620200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20316242*i**2 + i**3 + 20316242*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3989471 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 3:26 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524100466.\nAnswer: 2, 262050233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 - 166 - 211 = 43*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qssdslsszsss. Give prob of picking 1 l and 1 q.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 1:24 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 54. Suppose -3*w = -2*w - i - 4, 3*w = -u*i + 4. Suppose -z = 4*z - 4*j - 41, -j + 28 = w*z. Calculate the remainder when 22 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -5\/4 (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 - 9*y - 46 + y**4 + 13*y**2 - 11*y**2 to the form r*y**2 + h + k*y**3 + x*y**4 + a*y and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -11 - 5. Suppose -2*w = -t*w - 96. What is the units digit of (-9 - w)*4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 11.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 8*a**2 + 2. Suppose -4*r + 0*r - j = -2, 2*j + 3 = -r. Suppose d = n - d + 2, 2*n = 5*d - r. Let q be x(n). Solve c - 2*c = q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-2))\/((-120)\/12*4\/30).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 274755*k + 12. Let w be g(-6). Let j = w + 2418518. Round j to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1510204*n = 1510176*n - 3*l + 50, 0 = 3*n - l + 29 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(77)*3 - sqrt(77))*-1)\/(sqrt(7) + -3*sqrt(567)) + (sqrt(176) - (sqrt(176) + (sqrt(176) + 0 - sqrt(176)))) + (-4 + sqrt(1584))**2.\nAnswer: -1247*sqrt(11)\/13 + 1603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Suppose 0 = l + 3 - 1, 5*l = -2*z - f. Let n(h) = h**3 - 4*h**2 + h. Give n(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.294 + -0.014. Let g = 0.22 + p. Let j be (-10)\/6 - (2 + -3). What is the nearest to 1 in j, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 191*p + 195*p + 4050, 0 = 3*k + 4*p - 6065. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99)*1)**2 + 4.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1270 - -1271. What is the second biggest value in -1\/9, 7, f, 0.1, 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 49. Let p be y(16). Is -15 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15040 and 280.\nAnswer: 105280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/3 at most 203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18219*c**2*p**3 - 2*c**2*p**2 + 2*c**2*p - 5*c**2 - 80*c*p**2 - 845604*c*p - 2*c wrt p.\nAnswer: 109314*c**2*p - 4*c**2 - 160*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-13))\/((-546)\/(-3549))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r - 6*r**3 - 50*r**2 - 11*r**3 + 3*r wrt r.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 3.8. What is l rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22404 - 22267.07. What is r rounded to 0 decimal places?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z**2 - 3. Let o(j) = -6*j**2 - 2. Let s(m) = -3*o(m) + 2*r(m). Let t(k) = 40*k. Calculate t(s(n)).\nAnswer: 80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 29828 - 41418 = -4*f, -4*p + f = -142546. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72943390 by 13.\nAnswer: 5611030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezeeeeezeeeee. What is prob of sequence eee?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -934 - -476. Let j = -436 - c. Calculate the least common multiple of 58 and j.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*w + 3557 - 111 = -30289 for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30660 is divided by 411?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 19*o**2 + 81*o + 320. What is i(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -29*d. Let p(v) = 7*v + 5. Let a(n) = -4*n - 3. Suppose 0 = -2*i - 6, 2*s - 4*i - 14 = 4. Let q(f) = s*p(f) + 5*a(f). Calculate q(o(m)).\nAnswer: -29*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + 1 + sqrt(891) + (sqrt(11) - (1*sqrt(121))\/sqrt(11)))**2.\nAnswer: 18*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 106 = 94. What are the prime factors of 330\/n*60\/(-8)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*2\/(-36) + (-4)\/24)*-12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 196 + 4b3?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10931 divided by 1.\nAnswer: 10931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002794 to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149631759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 473 - 338. Let c be -16 + 20 + 0 + z. Let l = 38 + c. List the prime factors of l.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191451787.\nAnswer: 1191451787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2426 - 17*z - 2426.\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvm when three letters picked without replacement from savxxgaamgg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 197473268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*(2 + 4*n**3 - 2) + 4*n**3 - 7*n**3 - 10*n**3 as m*n + i*n**3 + y + s*n**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1 (b) 2\/11 (c) -9 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183 a factor of 20649265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + i = -k + 29, 5*i - 25 = 0. Let o = k - 18. Suppose -3*d + 26 = -10. Solve o*w - d = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2750 + 2572. What is the second smallest value in -7, -2, r?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -59*l**2 + 3*l**4 + 42*l**2 + 18*l**3 - 2*l**4 - 6*l**4 + 4 = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 51.75?\nAnswer: 155.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3*f + 0*f)*(-5*f**2 - 66 + 66)*(-68*f**2 - 58*f**2 + 140*f**2 + f).\nAnswer: 70*f**5 + 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-60)*(-25 + 5)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6587 (base 16) to base 10.\nAnswer: 25991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4 + (-55)\/(-5) + -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 571*q + 1924*q + 54 + 1285*q - 54 to k + t*q and give t.\nAnswer: 3780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (12 + -6)) + (19 - (31 - 14))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/125198867 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17164 + 17163.7. What is the nearest to -0.17 in -1.7, 2\/9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = j + 3*j, -5*j = m + 12. Let i = 1 - 1. Let h = i - m. Solve 4*l = -2*d - 2, -10 = h*l - 0*l - 2*d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62\/69 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(432) + 2)*-5 - -4*sqrt(432)*1*-2)**2*-1.\nAnswer: -340288 - 26880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2369795 to the nearest integer?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 548157523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23369\/2 + 11687. Which is the nearest to -12? (a) -0.2 (b) 1\/4 (c) i (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/(12\/80). Solve m = l - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*d - 1 + 2 = 0, -3*a = 5*d - 1. Solve t + 3 - a = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Let z be r*(4 + 46\/(-12)). Find s such that -1\/3*s**5 - 2\/3*s**3 + z*s**2 + s + 1\/3 - s**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**10*c)\/(c**(-13)\/c) assuming c is positive.\nAnswer: c**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -41\/7, -2, 8070, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 973 + -974. Let k(y) = -y + 1. Let l(x) = -7*x + 9. Give j*l(r) + 5*k(r).\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhohhohooohh?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -593 (base 15) to base 12\nAnswer: -893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 5. Let n = g + 51. Solve -2*h + n*d = 0, -5*h + 4*d - 9 = 2*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114622.8513 to the nearest one thousand.\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 - 671*o - 19764. Calculate n(250).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s = 0. Suppose s = -w + 6*w - 15. Suppose 0 = r + w*r - 8. What is the highest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + -5.94. Let z = 7 + k. Let h = 3 - 2.8. Which is the closest to z? (a) h (b) -0.5 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1556*c - 2173?\nAnswer: 1556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1323 - 588. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i. Let m be o(-1). Let w be 1 + -22*(-3)\/m. Let a = 29\/3 + w. Is a != -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4279 + -4236. Calculate the remainder when c is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/272 - (-4)\/(-34). Suppose z = 2*g + 3*q, -q = -0 - 2. What are the prime factors of (-5 - g)*-20 - 1?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 3*a + 20. Let r be (-3)\/30*(-1227 - 1). Let y = r - 122. Sort y, 1\/4, a in decreasing order.\nAnswer: a, y, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1244*p*z**3 + p*z**2 + 15*p*z - 146*p + 7*z**6 + 2*z**3 + z**2 wrt z?\nAnswer: -7464*p + 840*z**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2994102645?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 360563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 39*g**2 + 76*g**2 + 62*g**2.\nAnswer: 99*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 354.8863 millilitres in litres?\nAnswer: 0.3548863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a second in milliseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) - 1*sqrt(2016)*2)\/(sqrt(49)\/(-1*sqrt(112))).\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*c + 2*r, 3*r - 10 = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 121 + 122 - 243 + 13*k - 7*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -196, -169, -136, -97, -52, -1?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 2. Let w = -18 - -36. What is the lowest common multiple of l(-6) and w?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4965416*d**2 + 216*d + 10516.\nAnswer: -9930832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 651708507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1054, -922, -782, -628, -454, -254, -22, 248?\n\"Answer: i**3 - 2*i**2 + 131*i - 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/8)*r)**(31\/3)\/((r*r**(-4))\/r**11))**(-1\/13) assuming r is positive.\nAnswer: r**(-863\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328628.\nAnswer: 2, 29, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 608 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1704 - h**3 - 1676 + 3369*h - 3369*h.\nAnswer: -h**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhhxffsphxpffxpdf. What is prob of picking 1 p and 1 d?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**6\/120 + 4*g**5\/15 + 7*g**4\/12 - 5*g**3\/2 + 4*g**2. Let u be r(-15). Are 3\/29 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = -0. Suppose -3*a + s = -3. Find the second derivative of -i + 2*i**2 - 2*i**a + 2*i**3 wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.057, -2\/7, 0.04 in ascending order.\nAnswer: -2\/7, -0.057, 0.04, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1784 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.136 + -0.184. Let a = y - 0.68. What is the closest to -2 in a, -2\/23, 0.4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/7, -34, -2 in decreasing order.\nAnswer: 0, -1\/7, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1610384 at most as big as -1610244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 319910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 355718638 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1023 - -1023. What is the second biggest value in -4, -5, t, 17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j**2 - j - 2. Calculate k(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 33 + 518*o + 75.\nAnswer: 518*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246190905.\nAnswer: 5, 19, 89, 147391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 605.7747 tonnes in grams?\nAnswer: 605774700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -327*g*h*v**3 + g*h*v + 4*g*v**3 - 27*g*v**2 - 2*h*v**2 wrt v.\nAnswer: -1962*g*h + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22763 by -13.\nAnswer: -1751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 939472121 to the nearest integer?\nAnswer: 30651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghagahmaapuugh. What is prob of picking 2 u and 2 h?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((48\/(-60))\/((-6)\/(-855))). Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3361 - 64?\nAnswer: -3435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c = -13*c - 32. Let b(h) be the second derivative of 0*h**c + 1\/6*h**3 - 1\/4*h**5 + 0*h**2 + 0 - 2*h. What is the second derivative of b(k) wrt k?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*r = -12, 0*z + 5*r - 41 = -4*z. Suppose 0 = -n - z*n + l + 139, -n - 2*l = -30. Suppose -n + 162 = 2*c. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 25767?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 - 2 + 1 - 12*u**2 + u**3 + 14*u**2 - u + 2*u**3 to the form m*u**4 + f*u**2 + z*u**3 + x*u + k and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6290 - -6292. Let k(c) = 2*c**2 - 3*c + 3. Give k(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1309 and 8570331?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - 97. Let x = g - -114.00000505. What is x rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -69, -28123?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v. Let d(f) be the first derivative of -19*f**3\/3 - 3. What is l(d(k))?\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 64, 5 in descending order.\nAnswer: 64, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + h**2 + 3)*(-2924 - 20638 - 6860).\nAnswer: -30422*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 6*r + 35. Suppose -144 = -r*o - 39. Suppose 4*i - o = i. Solve k + i = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 24. Give s(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 83 - 3. Let h be (6\/(-4) + 1)*z\/4. Which is the smallest value? (a) -2\/133 (b) h (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoqqoqhhoho. What is prob of sequence hh?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, u: 3}. Give prob of picking 1 u and 1 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*q*t - 141513748*q - 30715410*t with respect to t.\nAnswer: -6*q - 30715410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h**2 - 12*h - 1. Let s(n) = 5*n**2 + 6*n. Let j(w) = 9*s(w) + 4*y(w). List the prime factors of j(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 1 = 14*z - 13, 5*w - 4*z = 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1203, 1075, 871, 597, 259, -137, -585?\n\"Answer: o**3 - 44*o**2 - 3*o + 1249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*k**2 - 1 - 6 as a + r*k**2 + p*k and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 3684. Let o be d(0). What is the hundreds digit of -2 + o\/(8\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 9:33 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -590*p**2 + 11830*p - 595. Determine v(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 6. Let b(n) = 3*n - 17. Determine -4*b(w) - 11*d(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -22*u - 2. Suppose -l - 5 = -3. Let b be s(l). Let y be b + 1 - (-2 - 0). Calculate the highest common factor of 18 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 - (6 + 3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 199*b**2*q*s + 15*b**2*q - 16*b**2 - 3*b*q*s + 2*q*s + 9*q - 2*s wrt s.\nAnswer: 199*b**2*q - 3*b*q + 2*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 6*v**2 + v + 8. Calculate j(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10011011100010110110011101100?\nAnswer: 10011011100010110110011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 35 = -u. Let g(f) = f**3 + 3*f**2 - 5*f. Let n be g(-4). Find the second derivative of -u*w - 14*w**4 + 2*w**5 + 14*w**n wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvd when three letters picked without replacement from vmmmmvvmvvmdvvv.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**2 - 5*u + 5. Let z be k(-3). Let q be ((-115)\/z - 5)\/2. What is the smallest value in q, 3, -2\/27?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6247651 + -6247651.9999988. Let t = v + 1. What is t rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3689 - 949*v**2 + 254 - 1946 + 697 wrt v?\nAnswer: -1898*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 26*a**2 + a + 32. Let q(i) = i**2. Let o(z) = -d(z) + 3*q(z). Let k(b) = -8*b**2 - 11. Let u(n) = 17*k(n) - 6*o(n). Is u(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10361666 and 304348.\nAnswer: 227956652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001862 to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4839.42 millimeters in meters?\nAnswer: 4.83942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326027, 326041, 326055?\nAnswer: 326069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u**2 + 4*u + 3. Let b(o) = -21*o**2 + 8*o - 28. Let y(w) = 66*w**2 - 25*w + 89. Let g(z) = 19*b(z) + 6*y(z). Determine -7*g(i) + 4*x(i).\nAnswer: -3*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 862986888 and 2846?\nAnswer: 2846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*z = 2*l - 66, z = -3. Let v(h) = 7*h**3 + 33*h**2 - 12*h - 3. Calculate the remainder when l is divided by v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 16.462, -4, -2\/9 in increasing order.\nAnswer: -4, -3, -2\/9, 0, 16.462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4896778031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 24 = -2*z, -5*z - 69 + 9 = -5*q. Calculate the smallest common multiple of 3 and (-14)\/(-6) - (-4)\/z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 85 - 5 = 0. What is the remainder when (-1)\/((-6)\/27)*10 is divided by ((-16)\/5)\/(4\/l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -0.5 (c) -35 (d) -1.2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14738 < -14736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 3*a + 4*y, 60*y = 3*a + 61*y - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(((-1)\/6)\/(-1)). Let n = t + 42. Suppose -n*x + 405 = -3*x. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*c + 33 = 0, 0*i + 5*c = i + 37. Let u = -7 - i. Suppose u*n + 8*z - 102 = 4*z, -z - 33 = -2*n. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:34 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 15152.72694 to the nearest one hundred.\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 689 = 5*z + 504. Let j(k) = k**2 + 3. Let f be j(4). Let o = z - f. Calculate the least common multiple of o and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 286 (c) -0.219 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/4)\/(l*l**25))**9 assuming l is positive.\nAnswer: l**(-891\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 541 = -3*l - l, -2*l = -4*k + 692. Let n be 141\/4 - (-1)\/(-4). What is the greatest common divisor of k and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0 - 0)*-3. Solve 5*a**4 + 33*a**3 - 11*a**h - 17*a**3 - 5*a**2 - 2*a**5 - 3*a**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -9 (b) -1 (c) 1786 (d) -5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -139\nAnswer: -1\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9076329 is divided by 65.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -10*o**2 - 247*o + 738. Give z(3).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223756638 divided by -10821.\nAnswer: 20678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6186 >= 6418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**4 + 1665*r**3 + 169755*r**2 + 164735*r - 336150 = 0.\nAnswer: -81, -2, 1, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + (-22 + 15 - 43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - d - 1. Let m(h) = 7*h**2 + 7*h + 6. Calculate 5*g(k) + m(k).\nAnswer: 2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437*z - 424*z = -875*z + 2982. Calculate the lowest common multiple of z and 2.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + d**2 - d + 5. Let k be r(0). Let q = 1653 - 1653. Solve k = y - q*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1068, 2160, 3250, 4338, 5424, 6508?\nAnswer: 7590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+-1290.02809\nAnswer: -1290.72809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7721 (base 8) to base 4.\nAnswer: -333101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 5, 0.03 in descending order.\nAnswer: 5, 0.03, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + r - 2*r)*(8*r - 6*r + 3*r)*(2 + 0 - 5) in the form k*r**2 + i + n*r and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*m = -23, 2*m = 2*t - 0*m + 30. Let n be t*(-10)\/(-15) - -2. Which is bigger: n or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1913930 is divided by 2970.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkytyh. Give prob of sequence ttk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * 97.1.\nAnswer: 17.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 3. Let s be k(5). Suppose 0 = -z - 5, -4*a + 2*z = 6*z + s. Suppose 22\/5*f**3 + 0 - 2\/5*f - 4\/5*f**a + 24\/5*f**4 = 0. Calculate f.\nAnswer: -1, -1\/4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -267289*x**5\/2 - 268323*x**4\/2 + 10690525*x**3\/2 + 29977727*x**2\/2 + 57924*x + 56 = 0.\nAnswer: -4, -1\/517, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1158759*w**2 + 546741*w wrt w.\nAnswer: 2317518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqcx when four letters picked without replacement from {c: 1, t: 2, x: 2, q: 4}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.166 + -36.834. What is the nearest to 0 in 1, p, 5, -5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*y - 168, -3*y + 5*y = 2*l - 78. Calculate the greatest common factor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 3*i + 1. Let k be 6*(15\/6)\/5. Let h be x(k). Find u, given that -3 - u**3 + 3*u**3 + 2*u**2 + h - 2*u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*t - 16, -3*t = -3*j + 6 - 0. Let d(l) = -3*l**2 - 2. Let u be d(-2). Let m be u\/(-12) + 10\/(-20). Sort t, m, -4 in ascending order.\nAnswer: -4, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4452 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -474*s**2 + 161*s**2 + 13018*s**6 - 13032*s**6 wrt s.\nAnswer: -1680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35756599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5299.701898 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/19)\/j**(-1))\/(j**(7\/5)\/(j\/(((j**(-9)\/j)\/j)\/j))) assuming j is positive.\nAnswer: j**(1187\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -71, -232, -511, -914, -1447, -2116, -2927, -3886?\n\"Answer: -n**3 - 53*n**2 + 5*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5861?\nAnswer: 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 90796.53 minutes?\nAnswer: 5447791.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 26, -0.08, -4, -0.3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 353810\/51 - 6937. What is the common denominator of 37\/87 and n?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/(-22) - (-25)\/2. Solve -4 = 2*b, -4*b + 1 - f = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 8 - -12 - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30*-3*(-1)\/134. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-14) - 1 - (374\/(-119) - -10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.354507 + -7.336. Round j to 4 decimal places.\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.148? (a) 92 (b) 4\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8843.678 rounded to the nearest 10?\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.176 or 4.7?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = 12*o. Suppose -5*b - 3*z + 36 + 10 = 0, o = -4*b + 4*z + 56. Suppose 3*r - 10 - b = 0. What is the remainder when 27 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxxxsx. Give prob of picking 1 s and 3 x.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-208870)\/30 - 5)\/((-2)\/6). Suppose -k = 2*y + v, k + 13348 = 3*y - 7549. Round k to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 519*g**4\/4 - 2*g**3\/3 - g**2 + g. Is r(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/(-126))\/8)\/(-1)*9.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*b + 13*b + 48 + 43 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 55*a**2 - 297*a + 182. Let q be s(-60). Solve m - 2*r + 3*r = 3, -5*m = q*r - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2585\/674 or -5?\nAnswer: -2585\/674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 161053330483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 10*q**2 + 12*q + 8. Let i be s(-8). Suppose 5*n = 0, -3*o - i = -2*n + 26. List the prime factors of (-86)\/(-4) - (-11)\/o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8780157 to the nearest integer?\nAnswer: 2963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 + 4*f - 4. Let x be l(-7). Suppose 51 = -y + 4*r, -5*r = 4*y - r + x. Let b = -41 - y. Solve 1 = -3*u - b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 10, -2 in increasing order.\nAnswer: -13, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680920.\nAnswer: 2, 5, 42023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 68. Let i be f(8). Is 14\/161 - (-53444)\/i a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 122 = 3*t. Let z = t - 18. Does 6 divide (z + 0 + 0)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {s: 5, n: 11}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51560?\nAnswer: 2, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 1, 1388, -23, -1 in decreasing order.\nAnswer: 1388, 1, -1, -23, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**4*p + m**3*p - 25*m*p - 111*p + 2 wrt m.\nAnswer: 4*m**3*p + 3*m**2*p - 25*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 20146. Let o(x) = -8*x. What is b(o(h))?\nAnswer: 16*h + 20146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2593 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*l + 136*l = 4*p - 2060, 1036 = 2*p + 2*l. What are the prime factors of p?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51567352 by 2.\nAnswer: 25783676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - k**2 - k**2 + k - 3*k + (k**2 - 2*k**2 - k**2)*(1 + 0 - 3) + 2*k**2 - 2*k**2 + 4*k**2.\nAnswer: 6*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25280227, -1, -0.4, 0.3, -0.1?\nAnswer: 25280227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(2\/4 - 468\/920).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41353, 89958, 138563?\nAnswer: 187168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*k + z, 3*k + z = 14 + 12. What is the third derivative of 14*s**4 + s**4 - 659*s**2 + 631*s**2 + k*s**4 wrt s?\nAnswer: 600*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8484 * 5\nAnswer: 42420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 43aa07c?\nAnswer: 43aa07c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjv when three letters picked without replacement from {n: 2, v: 9, j: 2}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 429\/4? (a) 1\/5 (b) 1\/12 (c) 0.4 (d) 5 (e) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e832 + 6?\nAnswer: e838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(56)\/sqrt(162))\/(sqrt(1176)\/sqrt(6) + sqrt(4)).\nAnswer: sqrt(7)\/72 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*p + 5 = 0, 56*f + 4*p = 57*f - 13. Which is smaller: 2\/17389 or f?\nAnswer: 2\/17389","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p + 4. Give x(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 9:28 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**5\/60 + 5*y**4\/24 - y**3\/6 + 4*y**2. Let c be i(4). Solve c*b - b = 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8024 - 7955. Suppose -o = 3*j - 67, -3*o - 3*j + 137 = -58. Let v = l - o. Solve 0 = -v*z + 2*g + 13, z + 0 = -5*g + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 424068675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let d = j - -1. Let b = -4.5 + -0.5. Sort d, 2\/13, b in descending order.\nAnswer: d, 2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 24*n**2 + 45*n - 24. Let p be (-8*(-1)\/(-12))\/(4\/(-132)). What is m(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 2*w - 80. What is the remainder when 29 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**2 + 7*z - 5. Let r(k) = 7*k**2 + 9*k - 7. Let f(i) = 5*r(i) - 6*y(i). Suppose 0 = 54*b - 55*b + 5. Determine f(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (54\/(-117))\/((-196)\/182). What is the closest to d in -2\/13, 3\/7, 16?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -36*j**2 - 2*j. Let y(k) = -k. What is y(v(u))?\nAnswer: 36*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c + 161 - 94*c - 320 + 26*c + 32*c + 14*c + 160.\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 335163 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3107 - 357*l - 3107 + (-3 + 2 + 2)*(-l + 0 + 0) - 3*l + 3*l + 3 - l)*(-2 + 2 + 2*l**2).\nAnswer: -718*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27306 or -26495?\nAnswer: -26495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 787489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.5697 times -6\nAnswer: -9.4182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/3*-26*195\/1690.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2981326 is divided by 10763?\nAnswer: 10738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -10 + 24 + -11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**4\/4 - z**3 - 3*z**2\/2 - 2*z + 1. Let u = 108 + -104. Calculate s(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywypyppwyypyy. Give prob of sequence ypyy.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*l = -10, 2*d + 2*l + 2 = 3*l. Let j be d\/12 + 1235998\/(-12). What is j rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5266*x + 5337*x + 497 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g*g*g**(3\/4)))*g))\/(g**(-1\/6)\/g))\/(g**(-2)\/g**(-6)) assuming g is positive.\nAnswer: g**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.146005329 rounded to four dps?\nAnswer: -2.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/(5\/(-10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121 - 91. Is ((-18)\/4)\/(81\/s - 3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -24, -3\/44, 4 in decreasing order.\nAnswer: 4, 1, -3\/44, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -323 + 775. Let x be (-1)\/((j\/(-152) - -3)*-2). Solve -x = 3*k - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c**2. Let z(l) = 22*l**2 + 8*l. What is z(y(u))?\nAnswer: 1078*u**4 - 56*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31383, 62758, 94131, 125502, 156871, 188238, 219603?\n\"Answer: -d**2 + 31378*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 2, o: 4}. What is prob of sequence ooc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 892345 is divided by 16523.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/14*((-6)\/2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 24 = p. Is p at most -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: 6\/(-7)*(-217)\/(-62)*2\/(-9)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -20*s - 158. Determine d(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7010 - 7007. Solve -4*l = -5*s + 7*s - 4, 4*l + b*s - 2 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Let c(b) = -2*b - 1. Calculate the remainder when ((-6)\/8)\/(1\/(-4)) + -1 is divided by c(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 137401, 308, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2627899867395 - 3.\nAnswer: 2627899867392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - t**3 - 945417*t - t**3 + t**2.\nAnswer: t**3 + t**2 - 945417*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50, -86, -116, -140, -158, -170?\n\"Answer: 3*c**2 - 45*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5 - 2*l**4 + 470*l**3 - 1532*l wrt l.\nAnswer: 20*l**3 - 24*l**2 + 2820*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 + q + 1. Let m(d) = -5*d**2 - d. Let x(r) = 3*m(r) + 4*s(r). Does 19 divide x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 533?\nAnswer: 4797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frf when three letters picked without replacement from {f: 10, r: 9}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/45)\/(3 - (4 - 3))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20848 < 20846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 65.2 (b) -2 (c) -29 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 3:07 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4170960 divided by -208548\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p**4 - 20151*p**3 + 8033997*p**2 + 361875960*p - 90970800 = 0 for p.\nAnswer: -41, 1\/4, 860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 85580999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) + 312\/30. Calculate the highest common factor of 40 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91 - -159) + -81 - -100.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkgk when four letters picked without replacement from {z: 6, u: 1, g: 2, k: 9}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -11. Let d(r) = r**3 - 2*r**2 + 5*r + 1. Calculate the remainder when d(g) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + a - 5*a + (505 + 533 + 517 - 287)*(-1 + 1 + 3*a).\nAnswer: 3801*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*12\/(-36)*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 7*n + 43 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 437 and 342?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 - 18*q**2 + 43*q**2 + 47*q**2 - 72*q**2 + 5.\nAnswer: 8*q**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5312 + 5312.22. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 3 (c) 11 (d) -0.1 (e) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -10*y**3 - 7*y**2 - 36*y - 12. Let u be s(-6). Suppose 17*f - u - 10893 = 0. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -28, 3, -1, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 37463.\nAnswer: -4\/37463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2\/u)**(-3\/25)*(u**3)**(-18))**(-1\/66) assuming u is positive.\nAnswer: u**(226\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2\/7 + 244*x\/7 + 1824\/7 = 0.\nAnswer: -114, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**3\/3 - 17*p**2\/2 - 17*p + 60. Give i(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.22 - -0.02. Let z = j + -1.8. Which is the second smallest value? (a) -10 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i. Let t = -1 + 0. Let c(y) = 2*y**3 - 6*y**2 - 6*y. Calculate t*c(v) - 6*g(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116051402 + -3?\nAnswer: -116051405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 12265.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3 - 6 + 33 + 22*h**3 wrt h.\nAnswer: 63*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2451 from 1887945793.\nAnswer: 1887948244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -2. Does 17 divide 2\/l*(-110 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**0)**(7\/10))**(4\/37))**(2\/11))**(-29) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**13*i*i**(-5\/7)*(i*i**(-6\/5)\/i*i)\/(i*i**(2\/33)) assuming i is positive.\nAnswer: i**(13889\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 - 9*k\/2 + 45.\nAnswer: -(k - 6)*(k + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 387 and 58738.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38688 and 1893216.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-9)\/((-15)\/(-5)). Suppose 0 = 5*k + 5*q - 55, 10*q - f*q = 3*k - 26. What is the highest common divisor of k and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9112, 18227, 27342?\n\"Answer: 9115*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5484298 and 0.4.\nAnswer: 0.9484298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -8*f + 16. Suppose -5*s + 3*s + f = 0. What is the greatest common factor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0)\/(22 - (-950)\/(-57)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 6:21 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/((-16)\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 2*s - 29. Let z be k(17). Let g(c) = c**2 - 2*c - 6. Let x be g(8). Calculate the greatest common factor of x and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -51. Suppose 4*b = 2*t - 0 - 118, u = -2*b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84943681?\nAnswer: 84943681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9585576 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/11*y**2 + 0*y + 0.\nAnswer: y**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 414 = -206. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54112 - 54141.957. Let l = u - -30. Let x = -5.957 - l. Sort -1, x, 1.\nAnswer: x, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 110\/15)\/(1\/6). Suppose -5*o = -2*f - 29 - 17, 0 = -o - l*f + 14. Calculate the highest common factor of o and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191894095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/5)\/p*p)\/((p\/((p*(p**(7\/3)*p)\/p)\/p*p)*p)\/p*p) assuming p is positive.\nAnswer: p**(29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(8)\/sqrt(4)) - sqrt(324)\/(sqrt(48)\/sqrt(4)))\/(3*sqrt(81)\/(sqrt(144)*1 - sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -151 - -1203156?\nAnswer: 1203005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 2, -3213529 in ascending order.\nAnswer: -3213529, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/((sqrt(108)\/sqrt(3))\/sqrt(9)) - (sqrt(2) + sqrt(10)\/(sqrt(5) + sqrt(10)\/sqrt(2)) - (sqrt(2) + 1 + 3 - sqrt(2))).\nAnswer: -sqrt(2)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 5\/121 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 65, 165, 305, 485, 705?\n\"Answer: 20*a**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 251.05 and -0.2?\nAnswer: 251.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**0)**(11\/5)*(o\/(o*o**(2\/5)))**(-1\/21) assuming o is positive.\nAnswer: o**(233\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (11 - (-5 - -9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Suppose 4*q - 6 = v. Suppose -4*o - q*n + 40 = -7*n, 5*o + 2*n - 17 = 0. Solve 0*c + 14 = -4*u - 2*c, 16 = -o*u - c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1036*y**2 - 753*y**2 + 1793*y**2 - 31.\nAnswer: 4*y**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**2 + 446*i - 446*i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69998 and 13875410.\nAnswer: 430137710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*i = -0*y - 14, i = 3*y. Let k be (1 + 0 + -2)*-7. Let t = k + y. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 + 0)*(6 + 4\/1) is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h**2 + 16*h + 1. Let j(d) = -5*d**2 - 7*d - 1. Determine -5*j(m) - 2*z(m).\nAnswer: 5*m**2 + 3*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.39 - 0.4. Let c = t + 0.11. Do 1\/2 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + (0 - 12) - -15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 4*k**3 - 9*k**2\/2 + 3. Find the second derivative of b(t) wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbgrt. Give prob of sequence gr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -68169.\nAnswer: -68168.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6888 + 2*w**3 + 6888.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m**3 - m**2 + 2*m. Let u(g) = -g**3 - 2*g**2 - g - 1. Let j be u(-2). Let y be w(j). Solve p - 5 = 4*d, -8*d = -2*p - 3*d + y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1300) + -1*sqrt(1300) + -3 - -5*sqrt(143)\/(sqrt(66)\/sqrt(6))))**2.\nAnswer: -120*sqrt(13) + 1336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 24424380.\nAnswer: 48848760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2714 + -1567. Let q = 708 + v. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 75 (c) 2\/13 (d) 76\/5 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6230294 hours in microseconds?\nAnswer: 2242905840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13125?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7093105l?\nAnswer: 709.3105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 + 7*q**3 - 27*q**3 + 12*q**2 - 5*q**2 - 2 + 18*q.\nAnswer: -13*q**3 + 7*q**2 + 18*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -878, -874, -870?\n\"Answer: 4*l - 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m - 6 = 0. List the prime factors of (18 + 2 + m)*1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 - 76*l**2 - 10*l**2 - 6*l**2 as o*l + m*l**2 + a and give m.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -20310221230?\nAnswer: -20310221231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.057 * -14.\nAnswer: -0.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 694 (b) -8\/3 (c) -473\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 595 + -204. What is p rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -19 - 1) + (-7 - 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*d + 3*i, 17 = 2*d + 3*i - 6*i. Let x(k) = -k**2 + 5*k - 8. Let m be x(d). List the prime factors of 216\/3 - (m - -7).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -5*h**6\/24 + 9*h**5\/10 + h**4\/2 + 57. Determine d, given that x(d) = 0.\nAnswer: -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/60 and -97\/209658.\nAnswer: 2096580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*o + 15, -5*f + 47 = -2*o + 7. Suppose 6*p - p = -f. What is the common denominator of -97\/18 and ((-86)\/18)\/(4 + p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2489819 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.11, -3, 2\/11 in increasing order.\nAnswer: -3, 0.11, 2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 13*c - 26. Let o be h(-10). Suppose 2*v = -2*d + 12, -o*d + 5*v + 6 = -9. Solve 0 = d*u - u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 21*b + 47. What are the prime factors of o(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13548 + 0.73258. Round k to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60509346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_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 the hundreds digit of 2134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40002, -80920, -121850, -162798, -203770, -244772, -285810?\nAnswer: -326890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4015 (base 11) to base 9\nAnswer: -7283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 17 = 3*t, -3*t + 7 = -3*m - 2. Let n be m\/2*13\/52. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-19)*n**12 assuming n is positive.\nAnswer: n**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:10 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 103 + 25. Suppose -n = z - 0*z - 12, -n = 5*z - b. Suppose -l + 0*o = 2*o - z, 5*l = o + 32. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 279783*l**3 - 250096*l wrt l?\nAnswer: 1678698*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 - 4*i**2 - 21*i + 3. Let x(k) = -11*k**3 + 23*k**2 + 126*k - 19. Give -34*v(g) - 6*x(g).\nAnswer: -2*g**3 - 2*g**2 - 42*g + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9726804 weeks in microseconds?\nAnswer: 588277105920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3125 = -2*n, -5*n - f - 3105 = -7*n. Let d = n - 27973\/18. Calculate the common denominator of 7\/8 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 126562, 3\/5, 0.1, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33401206 + 4?\nAnswer: 33401213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90010.\nAnswer: 2, 5, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-44)\/(-50) + (-40448)\/7584*3\/20. Let q be (-51)\/60 - 2\/(-8). Let h = -3.1 - -3. Which is the second biggest value? (a) v (b) 0.5 (c) q (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2155424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 171129 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, -10, 0.2, 0.02, -3, -2.41?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8652 and 23324.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 778 - 127. Let i = -648 + z. Calculate the greatest common factor of 435 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.071825 and 9.7801299?\nAnswer: 9.7083049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (29*1\/((-15)\/3))\/(11800\/(-59000))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m - 1. Let o(d) = -d. Let a be 8\/(-10)*(-10)\/4. Let r be o(a). What is g(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.8, -4, 2, 5, -7.7, 0.5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*w = -214, -w + 311 = 4*f - 461. Let o = -53 + f. List the prime factors of o.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 0, -9, -59 in descending order.\nAnswer: 3, 0, -5, -9, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -26, -24, -733.\nAnswer: -733, -26, -24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(2*f + 0*f - 6*f) + (0 + 4 - 5)*(11 + 10*f - 11) to m + b*f and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - -79. What is the greatest common factor of b and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/450 and -179\/3034710?\nAnswer: 15173550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 6 + 131*d + 138*d - 305*d + 12 to q*d + m and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5728000 rounded to the nearest one hundred thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(-5*sqrt(180)).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4522213232096.07 + 4522215517003.08160341. Let q = a - 2284907. Let x = q + -0.0116. What is x rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -2\/25, -5, -0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a**2*x + 7*a**2 - a*x + 106*a - 1966968*x with respect to a.\nAnswer: 12*a*x + 14*a - x + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3570*s**3 + 43*s**2 + 3*s - 3?\nAnswer: -21420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3080.19988 - -3080. Round q to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 - -0.78. Let a = -0.7 + w. What is the third biggest value in 1\/4, 4\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.8 - -5. Let r = w - -0.5. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 21 = -6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 363 and 198?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 190*u + 1330*u + 3120*u - 4 in the form k + c*u and give c.\nAnswer: 4260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-6 + 438\/72).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1105423 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.27 - 18.27. Let r be 1*-1 + (-1)\/(-3). Sort -3\/7, l, r in increasing order.\nAnswer: l, r, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*b - 79*b - 30*b - 2286 = -53*b for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.665 - 151.265. Let d = -149 - w. What is d rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/((-6)\/18). Let h be (-9 + 11)*(0 - 2). Put 5, g, h in descending order.\nAnswer: 5, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 take away 37.82226?\nAnswer: -27.82226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 47 - 3)*(-2*b + 3*b - 5*b) - b - 3*b - b.\nAnswer: -225*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 45136?\nAnswer: 45141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13533, -13531, -13529, -13527, -13525?\nAnswer: -13523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(3\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 + 131 = 9*m - 163 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4 + (-14)\/(-4). Let f = -14090 - -14089.7. What is the third biggest value in 4, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.111 - -0.211. What is the second biggest value in 3\/5, 5, -0.5, s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m = -3. Suppose s = -0*s + m*k - 21, 3*s + 38 = 4*k. Does 20 divide (-4 - s) + (-82)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220211211 - 1?\nAnswer: 11220211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9916.094l to millilitres.\nAnswer: 9916094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -27772836?\nAnswer: -27772843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 8:24 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -675, -1415, -2649, -4383, -6623, -9375, -12645?\nAnswer: -16439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 - 2424*k\/7 - 2426\/7.\nAnswer: 2*(k - 1213)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1924 = 5*v + 2*m, -2*m - 11 = 3. Sort -5, -1, v, -3, 1.\nAnswer: v, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1503, 0.4, 2\/3.\nAnswer: 0.4, 2\/3, 1503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6534 is divided by 496.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*l - 5*l. Suppose l = -5*f + 5*d - 5, f - 3 - 2 = -d. Calculate the greatest common divisor of f and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1*sqrt(11) - sqrt(11))*-5)**2 - (-2 + 1 + sqrt(1331))**2.\nAnswer: -232 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o - 5*o + 3*o**2 + (4*o**2 - 2*o**2 + o**2)*(139 + 42 - 55) to c*o + j*o**2 + r and give j.\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h**3 + 6*h**2 - 6*h + 6. Let g(u) = 120*u**3 - 65*u**2 + 65*u - 65. Give 6*g(m) + 65*w(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + 8895497?\nAnswer: 8895507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 9*a**2 + 953*a - 4870. Determine j(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 16*b + 18. What is the least common multiple of m(16) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 2 in increasing order.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (38932*u - 22126*u - 19598*u + 2)*(-u**3 + u**3 - u**3) in the form l + c*u**4 + d*u**3 + t*u + x*u**2 and give c.\nAnswer: 2792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 2*z - 3*b - 489, -3*z = -4*b - 300. What is the tens digit of z + -1 + 0 - (2 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -29 + 7 + 89 - (0 - -9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w - 54. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 67568, 67575, 67586, 67601?\n\"Answer: 2*q**2 + q + 67565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0, 0.029, -2\/3?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2. Let j(r) = -78 + 505*r - 59 - 58 + 192. Determine j(d(z)).\nAnswer: -1010*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 2*n + 5. Let m(q) = 6*q**2 - 11*q + 25. Let k(t) = -11*b(t) + 2*m(t). Suppose 47 = 14*c - 9. What is the tens digit of k(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 13*c + 0*c = -95. Let q(o) = -o**3 + 10*o**2 - 24*o + 7. Determine q(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.01 + 0.01. Let x = 11 + -8. Let s = x - u. Which is the third smallest value? (a) -3 (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*m - 16 = 2*z, -z - 2*m + 1 = 0. Let g(v) = v**3 - 5*v**2 + 2*v - 6. Let y be g(z). Suppose -45 = 3*t - 8*t. Solve -y = -5*i - t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550917 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -4. List the prime factors of (j + 1)\/(13\/377).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 - -65. Suppose 0 = 3*u + 6 - 141. Let t = p + u. What is the highest common divisor of t and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvggvggggdwvv. What is prob of picking 1 d and 1 v?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2869\/(-8925) + (-12)\/(-60). Let y = d + 2\/525. Put y, -0.1, -1\/4 in ascending order.\nAnswer: -1\/4, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 8, 97, 85, -4, 5.\nAnswer: -139, -4, 5, 8, 85, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 15*a**2 + 13*a + 17. Let t be (-96)\/(-7) - 14\/(-49). Let d be r(t). What is the hundreds digit of d*(-5)\/60*-548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2411 (base 5) to base 15\nAnswer: -18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -237663 divided by 6?\nAnswer: -79221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 18*m - 1 - 15*m + 2 in the form o*m + g and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -160*g*q**2 + 7855*g + 12*q**3 - 6*q - 5 wrt q.\nAnswer: -320*g*q + 36*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20662 (b) -0.4 (c) -9.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/135 and 7\/2250.\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4*l + 19*l**2 - 12 + 3*l)*(-2*l**2 + 3 - 3).\nAnswer: -38*l**4 + 2*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0528 and -0.109?\nAnswer: -0.0057552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(4)*-4) - (sqrt(288) + 3)) + -4.\nAnswer: -51*sqrt(2)\/4 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69017 + 69017.72039. Round j to 2 dps.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 - 257 = -7*d + 269. Let y(i) be the first derivative of -i**2\/2 - i + 2. What is y(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/2696 and 38\/10447.\nAnswer: 83576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**(7\/4)\/b)*b*b*b)\/((b*b*b**(-8)*b)\/b)*b\/(b*b\/b**(-1)*b)*b\/((b*b\/b**(1\/17))\/b))**48 assuming b is positive.\nAnswer: b**(5964\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-5 - (2 + -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*x + 43427076 = 43453156 for x.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/38 - (-11)\/2*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2835 = 5*z - 5*d, -5*d + 255 = 4*z - 1977. Suppose -2*w + 123 = -3*a - 36, 4*w - 5*a - 319 = 0. What is the remainder when z is divided by w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t**2 - 63 + 12 + 6 + 45.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190199.3 + -21564085?\nAnswer: -20373885.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5201935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -248408\nAnswer: 248407.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -411 - -12?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 - 11310?\nAnswer: -11234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k = 3. Let o be (1 + -144)\/(1*k). Is o\/(-1 + (2 - 0)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55740 (base 10) to base 14\nAnswer: 16456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1148 divided by 574.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, u: 2, h: 2}. Give prob of picking 2 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-140)*-7*4\/(-104)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 49*c**2 + 45*c + 134. Calculate a(48).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45, -34, -11, 24?\n\"Answer: 6*o**2 - 7*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3758.62 * -4\nAnswer: -15034.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-1\/2))\/o)**49 assuming o is positive.\nAnswer: o**(147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2743 + 2767. What is the least common multiple of 64 and u?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 61 + -1bda6?\nAnswer: -1bd45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u + 5. Let m be ((-2 + 2)\/u)\/1. Let v(h) = h**2 + 5*h + 3. Let i be v(-4). Sort m, i, -5 in decreasing order.\nAnswer: m, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1987 + -620. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2104*n**2 + 3628*n**2 - 1523*n**2 - 41 + 41 to m*n**2 + x + k*n and give m.\nAnswer: 4209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10405194 and 139610?\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1310 - 810. What is f rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20314 and -5.\nAnswer: -101570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((9\/(-18))\/(3\/(-2))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*u - 131, 8*b - 5*u - 123 = 6*b. Round b to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*o - 8 = -158*o. Solve o*v + 14 = 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*z - 665088 + 691548 for z.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -j + 2*x, 4*x = 3*j - 6 - 94. Let v = j - 8. Calculate the least common multiple of v and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221\/4535 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {r: 4, g: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.4658664 * -0.3.\nAnswer: 4.03975992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + v - 1. Let z(t) = 5*t**2 + 7*t + 8. Suppose -3*m + 4 = m. Let f(x) = 7*x - 59. Let d be f(9). Let n(c) = d*b(c) + m*z(c). What is n(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2282*1 + -234*47\/(-846). Calculate the highest common divisor of 595 and h.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 35*f**2 - 492*f - 197. What is k(14)?\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3\/5 - 112*n**2\/5 + 208*n - 640 = 0. Calculate n.\nAnswer: 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 217781300*c**6 + 12154*c**2 - 4904*c wrt c.\nAnswer: 26133756000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 2*x**2 + 5*x + 13. Determine y(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 720*j**2 + 25185*j - 53290.\nAnswer: 5*(j - 2)*(j + 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**6\/24 + r**5\/15 - r**4\/8 + r**3\/2 - 281*r**2. Let o(f) = 11*f**3 - 9*f**2 + 6*f - 7. Determine 9*j(h) + 4*o(h).\nAnswer: -h**3 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**3 + 8*j**2 - 18*j + 7. Determine a(3).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3060.4410056 - 3058.641. Let f = 323.8 + -322. Let s = f - z. What is s rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2916 - -65902. List the prime factors of q.\nAnswer: 2, 19, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 201743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*c - 6, 4*c + 4*w - 12 = 12. Find the second derivative of -5*k**3 + 60*k + 5*k**c + 269*k**4 - 20*k wrt k.\nAnswer: 3228*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*f - 195 = -4*s, -3*s + 110 = f. Let v = s - 28. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**2)\/d**(-1\/13) assuming d is positive.\nAnswer: d**(40\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 2. Let v(l) = 3*l**2 + 5. Let n(j) = 5*t(j) - 2*v(j). Let p(x) = -x**2. Let k(y) = -3*n(y) + 2*p(y). Let m(h) = -3*h. Give m(k(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-2)\/(-10) + (-36)\/(-5). Suppose 2*z = -4*n + 36, 3*z - v - 2 = 3*n. What is the least common multiple of 6 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10512502 and 322?\nAnswer: 241787546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*n - 6, n - 10 + 2 = -4*k. Suppose 13*j - 274 - 194 = n. Calculate the lowest common multiple of (7\/(-3) + 0)*(-1 - 2) and j.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151 - 148. Suppose -l*m + 42 = 2*o, -6*m + m = -3*o + 82. What is the remainder when 215 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/6*16\/6. Suppose p*b - b = 4*l - 31, 3*b - l = -37. Let q be b\/(-5) - 2\/(-5). Solve -q*r = -0*r - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (35 + 806)*(-4 - -3). Let c = p - -941. Calculate the greatest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - j - 50. Let i(z) = 4*z**2 - 6*z - 249. Give 2*i(a) - 11*r(a).\nAnswer: -3*a**2 - a + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 2)\/(2\/(-7)). Let b = 16 + a. Solve -f + b = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 660142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.1 + 26.15. Is q <= -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-1) - (2 - -30). Let s = 73 + v. Let x = s - -52. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 3*a + 3 - 17, 3*a + 51 = 3*j + 75 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2300292\/(-165699) - 7*-2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5*l**3 + 18849543*l**2 - 1 - 10*l**3 - 18849543*l**2.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 402 and 24.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -23. Let f = k + -15.06. Let l = -2 + -2. Sort f, l, 3 in descending order.\nAnswer: 3, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -39*k + 191. Let x be h(5). Let g be 1*(4 + 32\/x). Which is bigger: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5697, 11395, 17093, 22791, 28489?\nAnswer: 34187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h - 6. Suppose h*k - 4*k = 0. What are the prime factors of (k + -1)\/((-6)\/102)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43024977959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8960016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 + 22943264*z**2 - 68829806*z + 45886540 = 0. What is z?\nAnswer: -11471635, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in seconds?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6150 and -0.43.\nAnswer: -2644.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -163101 and 1\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -599?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 24\/17, -2\/5, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 3:57 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 14056?\nAnswer: 42168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.2 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418173555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/4)\/(2\/(-4)). Suppose -2*m = -3*j - 10, 12*j + 15 = 16*j + 3*m. Let u be j\/(-17)*((-4)\/(-8))\/(-1). Which is the closest to u? (a) 0 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y - 32. Let r(p) = 5*p - 48. Let t(z) = -8*b(z) + 5*r(z). Calculate t(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19277 + -13349. Let k = f - -18009559\/552. Let t = -232\/69 - k. Calculate the common denominator of t and -29\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d - 144397?\nAnswer: -144379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 30 = 5*x + 10, 3*x + 5*q = 12. Suppose 15 = -n + x*n. What is the second derivative of -n*w - w + w**2 + 3*w + 4*w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 13) in base 4?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442697848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 4*k**2 - 10*k - 27. Let r(l) = -12*l - 12. Let d be r(-9). Suppose 5*z - d = 3*z. Calculate the remainder when z is divided by b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - (758988 + (4 - -2)). Round i to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 29*n + 162 = 0. Let g = 92 - n. What is the derivative of 16 - 20*o - 20 - g wrt o?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470 - 100 - 103*s**2 + 31*s**2 - 236 - 99.\nAnswer: -72*s**2 - 905","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*l + 0)*(4 + 0 - 3)*((0 - 2 + 0)*(-2 + 1 - 1) - 2 - 1 + 1) - 20*l + 11*l + 4*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 2. Let v be x(6). Suppose v*w = 3*w - 0*w. Let l(r) = 3*r - 1. Let q be l(2). Solve -2*z - 15 + q = w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - (-5754)\/18) + 104\/(-156). Calculate the greatest common factor of v and 31914.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 r when three letters picked without replacement from {u: 1, e: 1, i: 3, q: 11, r: 3}?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 136 (base 7) to base 6\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**15)**(-8\/3))**42 assuming x is positive.\nAnswer: x**(-1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(931))**2 + -5 - (2*-1*sqrt(76) + sqrt(76))\/(sqrt(36)\/(sqrt(9) + -2*sqrt(9))).\nAnswer: -sqrt(19) + 926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*o**3 + f**2 + 27*o**3 + 259 wrt o.\nAnswer: 6*f**2*o**2 + 81*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y\/y**(3\/7))*y)*y*((y\/y**3)\/y)\/y*y**(1\/9)*y*y**1*y assuming y is positive.\nAnswer: y**(-20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6830 is divided by 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19483 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*k - o, -5*o + 17 + 21 = 2*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440400 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 30*z + 15330000 = 0. Round z to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g + 453 = 885. Solve -2*r + 8*m + 17 = 3*m, -m - g = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 43, 95, 175, 289?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152)\/36 + (-18)\/(-81)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:31 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 634*q**2 - 99*q**2 - 50*q**2 to the form n + r*q + v*q**2 and give v.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18165 - 18227.027. Let p = o + 62. What is p rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = -2*r, -12 - 5 = -5*w - r. Suppose -j - 2 = -3*j. Calculate the remainder when 9 + 1 - (-2 + j) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31762 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.027 * -0.0334.\nAnswer: 0.0009018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 15 - 0. Suppose 3*v - 4*v = q. Let l be 2*v*(-3)\/2. Solve b = -2*b + l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 0*n + 0*n**2 - 2\/15*n**5 - 1\/3*n**4 - 2\/9*n**3 + 5. Let k(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -21*z**5\/5 - 2*z**3 - z**2\/2 + 1336*z + 117. Differentiate n(o) with respect to o.\nAnswer: -84*o**3 - 12*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9228.\nAnswer: 2, 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 802432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*p**2 + 27*p**2 - 85*p**2 - 9*p**2 to the form u*p + a + z*p**2 and give z.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1588 and 26202.\nAnswer: 52404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 25*x - 38. Let f be y(7). Suppose -4*w + 15 = 2*b - 65, -88 = -2*b - 2*w. Let o = f - b. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 w, and 1 d when three letters picked without replacement from exdaodw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 15, -134*f = -5*m - 138*f - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2223278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 - v**3 - 2*v**3 + 6*v**2.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*r**2 - 29*r**2 - 7*r**2 - 52*r + 50*r to l*r + j*r**2 + z and give j.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 143 and 403.\nAnswer: 4433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2 (b) 120.36 (c) 4\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 431 + 4?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-2 + 16\/2). Let z be m\/(-2)*(-12)\/80. Let c = 0.2 - 0.2. What is the biggest value in 4, c, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19 + 7.81. Let l = 7.7 - w. Is 2\/5 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(448))\/(sqrt(20)\/sqrt(5)*3).\nAnswer: 16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((31 + -44 - 1) + (10 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.56 - 54.56. Let j = c + 50.9606. What is j rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o\/(o*o*o**(-30)*o)*o)\/(o\/(o**(-8\/3)\/o*o)))\/((o\/(o**(3\/5)*o))\/o**(3\/10)))**(-11\/7) assuming o is positive.\nAnswer: o**(-1331\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8. Let a(d) = -d + 1. What is 4*a(t) - k(t)?\nAnswer: -4*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1764342*d*s**3 + 14*d*s**2 - 66*d*s + 2*s**3 - 32*s wrt s?\nAnswer: 10586052*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19814785321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 621998964163?\nAnswer: -621998964158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 2*a - 4*a + (-4 + 4 - 1)*(-2*a + 3*a - 2*a) + 0*a + 6*a - 3*a + (2 - 1 - 2)*(-3*a + 4*a + 0*a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 8738?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 55 = 5*b, 4*b - 4*i - 1 = 3. What is the least common multiple of 3\/(-12) - (-10)\/8 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 2. Suppose 2*z + j = -3*z - 22, 2*z + 10 = -j. Let r(q) = q + 3. Calculate z*r(x) + 7*f(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 6:00 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 653, 99.\nAnswer: 67, 99, 653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-990)\/45 - (-4 - 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 107295850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 - 14*j**2 + 8*j + 82. What is the hundreds digit of w(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19, -101, -241, -439, -695, -1009?\n\"Answer: -29*p**2 + 5*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11\/((-44)\/(-168)) - 0.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -702, -1528, -2538, -3726, -5086, -6612?\nAnswer: -8298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235268596 to the nearest integer?\nAnswer: 15338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 16534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -190 + s**2 + 93 + 97. Let i(f) = 3*f**2 + 2*f - 2. Let x(y) = y**2 + y - 1. Let m(w) = i(w) - 2*x(w). Determine z(m(j)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 f when four letters picked without replacement from {q: 3, x: 10, g: 3, f: 3}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 47 = 2*s - 2*z, -2 = z. Solve -4*a + 5 = h + 18, -s*a - 11 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 0 - ((-1 - -7) + 11)) + 5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -18*x**2 + 35*x**2 + 114*x**2. Let l(a) = -2*a. What is j(l(y))?\nAnswer: 524*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -125*687\/(-45) + (-2)\/6. Calculate the highest common factor of j and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d - 11. Let n be u(9). Suppose -o + 130 = -a - n, 2*o + 5*a = 399. What is the remainder when o is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42039708 divided by -2.\nAnswer: -21019854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 4:10 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.97 - 9.79. What is y rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 9. Let b be k(6). Let f be (b\/25 - -2)*5. Sort -3, f, -5 in decreasing order.\nAnswer: f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95 and 6?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**3 + 3560*n**2 - 664505*n + 10836810 = 0.\nAnswer: 18, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5312014197737\/5020 + 1058170154. Let l be ((-8292)\/(-4016))\/(-3) + (-6)\/(-8). Let u = l + w. What is the common denominator of u and 73\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/10*(-28)\/(-5)*650\/(-52). Solve 0 = -48*x + 55*x + f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = -0*y + 25685. Let w = -1434 + y. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1815 and 231?\nAnswer: 12705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 38. Give w(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -148150, -296302, -444456, -592612, -740770?\n\"Answer: -n**2 - 148149*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 15) in base 3?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*z + 2*z. Let x be z\/((-1)\/4*-10). Let s = -1.82 - -0.82. Which is the closest to 2\/3? (a) -2 (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 19*h + 22. Let b be f(19). Let r = b + -19. Suppose -r*z = z - 52. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -2. Let m = -45 - -48. Which is the closest to m? (a) t (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 6*c + 2*c + 5*c**3 + 7*c.\nAnswer: 5*c**3 + 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/16)\/(177\/66). Let y = l + 1\/59. Which is the second smallest value? (a) -0.1 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -d - 35. Let i(o) be the second derivative of -o**4\/12 + 5*o**3\/3 - 5*o**2\/2 + 7*o. What are the prime factors of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by -11.\nAnswer: 100\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Let o = -25 + 24.49. Let u = -0.49 + o. Put 2\/13, u, w in decreasing order.\nAnswer: 2\/13, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/5 + 3\/15. Let k = 5855.3 - 5854.8. What is the third biggest value in g, -0.5, k, 1\/58?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 6:35 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, -75, -364, -925, -1848, -3223?\nAnswer: -5140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001800192234 to 6 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, 1, 2, 0.04, 1\/6, -0.3, -21.644?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 9*l - 20. Let n be h(5). Suppose n = -2*z - 22*z + 120. Solve 20*v = 21*v + z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5*u**3 - 1 + 7*u**3.\nAnswer: 12*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 + 1)*(-4)\/10. Let b(g) = 0*g**2 - x*g - 2 + g**2 + g**3 - 4*g**2. What are the prime factors of b(5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 70532319.\nAnswer: 70532319.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*g - 4*c - 3, 5*g - 7 = -c. Suppose -24 = -0*x - 2*x. Differentiate 6*m**2 + g*m**2 + m**2 - x with respect to m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (10 - 6) + 23 + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 c, and 1 h when four letters picked without replacement from gucfnhc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1284754061 - -1284754051.29999971. Let p = s - -9.7. What is p rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 850050.2 hours in seconds?\nAnswer: 3060180720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 267\/2 - 140. Let n = -45 - -29. Let o = -22 - n. Is o > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(46\/10 - 5)\/(4\/(-5)). Solve -19 = -b*q - 19 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 282088\nAnswer: 112835.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymmm when four letters picked without replacement from {m: 7, y: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 34 + 42. Solve -i*r + 8 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 264.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17677092 is divided by 259957.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 12*w + 106435*w**4 - w - 106437*w**4 + w**2 to the form d*w**4 + t*w**2 + g*w**3 + r + u*w and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -172*t - t**2 + 172*t. Let k(y) = -2*y**2 - y + y. Give c(k(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145 - 145 - 56*b)*(4*b**2 - 4*b**2 - 2*b**4).\nAnswer: 112*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -10.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfz when three letters picked without replacement from fsqdz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -30, -3*w + 328 - 300 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -23416\/13671 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*z + 13 = 3*i, -5*i + 17 = 3*z. Suppose -5*c = d - 26, -4*d + d = 4*c - 23. Suppose -c*y + 3*b - 6 - 6 = 0, -b = 1. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, s: 2, h: 2, e: 1}. Give prob of picking 1 b and 2 h.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*o**3 - 7*o**3 + o**3 + (0*o**2 + 0*o**2 + 8*o**2)*(-3 + 3 + 2*o) to p*o**3 + y*o**2 + b*o + u and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 106 + 0*i**6 - 5\/3*i**3 + 4*i + 0*i**2 + 0*i**5 - 12\/7*i**7 - 1\/2*i**4. What is the third derivative of j(u) wrt u?\nAnswer: -1440*u**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * 2.4\nAnswer: -0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0, -1213\/235, 4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1815*n**3 + 221*n + 2.\nAnswer: 10890*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -v**3 + 75*v**2 + 6*v + 1231 wrt v?\nAnswer: -3*v**2 + 150*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-1))\/(-6))\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3394 + 3399. What is the remainder when 38 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1473*i + 13. Let f be n(-6). Let t(p) = 177*p**3 + 4*p**2 + 3*p + 1. Let b be t(-3). Let y = b + f. Round y to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 3*w + 18, 0 = -q - 6*w + 17*w + 47 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30245.\nAnswer: 5, 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-3) - (9 + (-13 - -5)). Let o = 4 - 3. Suppose -5*y + 26 = z - o, 0 = -3*z - 9. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10.3 (b) -1\/4 (c) 3\/8 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38115*a**3*b**3*x + 2*a**3*b**2 - 158*a**3*x - 258*a**2*b**3 - 441*a**2 + 5*b**3 wrt x?\nAnswer: 38115*a**3*b**3 - 158*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(891))**2 - sqrt(22)\/(sqrt(99)\/sqrt(9)).\nAnswer: -sqrt(2) + 2\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-2 - 6\/4))*432\/(-360)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 57, -1\/3, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -59*x**2 - 4*x + 6. Let c(w) = 58*w**2 + 4*w - 9. Let p(d) = 4*c(d) + 6*t(d). What is the second derivative of p(m) wrt m?\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 24*c**2 - 24*c + 28. Determine u(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-124)*(630\/150 - 5).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 - 77. Solve 8 = -4*d - j - 3*j, 3*d = -l*j - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 - 72*j + 17. What is n(-37)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**15)\/t)\/(t**19*t))\/(t*t*t**(-3\/10)*t\/t**(-2\/21)*t))**(2\/23) assuming t is positive.\nAnswer: t**(-1847\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 123, 172, 205, 216, 199?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 u when three letters picked without replacement from hhummuuueuimmuhmuiu?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(10) - (sqrt(90)*3)\/sqrt(9))\/(3*-2*sqrt(5) + (sqrt(5) - sqrt(30)\/sqrt(6))*-3).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101426744?\nAnswer: 2, 67, 189229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*-2)\/((1*sqrt(72))\/sqrt(9))*3.\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.01 - 1.9. Let h = f + 3.89. What is the closest to 2\/3 in -4, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 18054*m. Let j(n) = 245*n. What is j(h(r))?\nAnswer: 4423230*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/779 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18951758*l**3 + 8782508 wrt l.\nAnswer: 56855274*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)*f\/(f\/(f\/(f\/(f*f*f**10)))))**(-44)\/((f*f*f**(-2\/3))**(-1\/17)*f\/(f**(-7)\/f*f)*f**5*f) assuming f is positive.\nAnswer: f**(-8714\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:06 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2*2\/1)\/((-10)\/(-4)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 4229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(3 - 6 + 4)*(-2*h + 4*h - h)*(-h**2 + 2*h**2 + 0*h**2) as j*h + k*h**2 + t*h**3 + b and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*b = 64, 0 = x - 5*b + b - 40. Calculate the highest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 7:09 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110111 - -100010?\nAnswer: -1010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1102075 + -5?\nAnswer: 1102070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.808762cm to nanometers.\nAnswer: 98087620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 1. Let j = 49 - 54. Let r(h) = 9*h + 8. Let t(a) = j*r(a) + 40*o(a). What is t(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1765391.\nAnswer: 457, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8714 - -60997\/7. Let r = -7 - -5.7. Let d = 0.3 + r. What is the smallest value in -5, k, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 0*n**2 - 14 + 2*n**2 + 418*n + 39.\nAnswer: 2*n**2 + 418*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:38 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*t - 243 - 1229. Suppose -o + t = -10. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -42*g - 5. Let k be (-4)\/4*(-3 + -4 + 8). Calculate the remainder when r(k) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24664 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from xsssxsxsxxsssssssss.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 1. Let p be (-16)\/8 + 1*-3. Let c(m) = -m**2 - 5*m + 1. Let n be c(p). Let g be y(n). Solve -3*a = g*a + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-2))\/(-7)*(120\/(-175))\/(-3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*((-2 + 1*sqrt(112) + (sqrt(112)*1 - sqrt(112))*6)**2 - (0 + 5 + (sqrt(112) + -1*sqrt(112))**2)) + -5).\nAnswer: -16*sqrt(7) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - 95\/((-1710)\/(-864)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13\/8, -0.5573, 0.1?\nAnswer: -0.5573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1563 - -2181. What is the remainder when i is divided by 58?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = 1. Let i = 7 + k. Let y(d) = -d**3 + 7*d**2 + 11*d - 1. Does 6 divide y(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185\/8 - -183\/8. What is the nearest to q in 3, 3\/5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 - -50. Let a(j) = j**3 + 3*j + 3. Let o be 2\/6*15 + -8. Let p(d) = -d**3 - 7*d - 7. Give b*a(q) + o*p(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4128935989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in seconds?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85 - w**3 - 27 - 33 + 14373*w - 24 to c*w**2 + y + r*w + z*w**3 and give r.\nAnswer: 14373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11500\/1000*4\/23. Let z(a) = -5 - a**2 + 0*a + 2*a - 1. Let c(b) = b - 1. Calculate k*c(x) - z(x).\nAnswer: x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*h - 3*r + 426 = -67*h, r = -3*h + 424. Factor 124 + 76 + 88 + 3*n**2 + 42*n - h.\nAnswer: 3*(n + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50922 divided by 2?\nAnswer: -25461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -23.6563863213\nAnswer: 23.3563863213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p - 24. Let s = p - 3. Suppose 3*t - 15 = -s*k + 66, t + 5*k - 43 = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/8)\/((-6)\/44). Let p = i + -10. Solve p = -3*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (1 - 0)*-2. Let n = 7 - f. Let k be (-15)\/(-28) - (-44)\/(-154). What is the nearest to k in 1, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 190 + -22a7?\nAnswer: -2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttbkeebbtefttbb. Give prob of sequence kf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-9 - -6)) + -1 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, -550, 885, 4.\nAnswer: -550, 2, 4, 13, 885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 1 a when three letters picked without replacement from fapafmffu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2 - 10220*m + 1787424 = 0. What is m?\nAnswer: -10392, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllillillillllllll?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 0. Let i = 35\/58 + -3\/29. Which is the closest to -2\/9? (a) q (b) i (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5004, 20029, 45094, 80235, 125488, 180889, 246474, 322279?\nAnswer: 408340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 421, 3508, 11931, 28360, 55465, 95916, 152383?\nAnswer: 227536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10967, -10946, -10911, -10862?\n\"Answer: 7*w**2 - 10974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-270)\/(-60))\/(3\/2). Suppose 2*r - 8*p = -k*p + 25, -2*p - 21 = -3*r. Is r < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.07107, -2\/5, -0.1, 2, -3488?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8*g - 5*g = 3, -2*t + 9 = g. Suppose -9*q = -t - 438. Let y = -45 + q. Solve 1 = -u + y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o**2 - 5*o**2 - 5*o**2 + 4*o**2 - 6*o**2 + 3*o**2 + (1 + 1 - 3)*(2*o**2 - 10*o**2 - o**2))*(2 - 2 - o**2) - 4 + o**4 + 4.\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1089691, 2179370, 3269049, 4358728?\nAnswer: 5448407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -86*t + 2. Let c be z(0). Solve 11\/3*w + 1\/6 + 121\/6*w**c = 0.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p = -1943 + 6443. Which is smaller: 0.2 or p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 + 53 - 24) + (-13 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88 + -15?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*m - 26*m + 6*m**3 + 0*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 1\/4, 1.9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52\/9 + -391\/63. Let c = 0.7 + -0.4. What is the second biggest value in j, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:08 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 6*u + u)*(0 + 1 - 2)*(-6 + 6 + 3*u - 3*u + 5*u - 4*u + (2 - 2 + 2)*(-2 + 2*u + 2) + 2 - 2 + u - 2*u + 0 + 0).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 15 = 11*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 6*v + 2. Suppose 1 = q, -3*q = -5*d + q + 26. Let x be j(d). Suppose 0*p + 5*p = 4*i - 13, 5*i + x*p = 8. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 3849631970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t - 50. Let l be h(10). Solve 5*d - 5*x + 5 = -0*d, l = -2*d + 5*x + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (-12 + (-19 - -24) + 5).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*w = 2*k + 680, -680 = -5*k + w. What is the greatest common divisor of k and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (0 + (17 - (14 - 3)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.51 + 23.51. Let k = i + -8. Let j = -14.999936 + k. Round j to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1403*s + 1407*s + 2 - 36*s**2 + 1400*s - 4210*s.\nAnswer: -36*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 + 4*o**2 - o + 5. Is p(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 217, 325, 435, 547, 661, 777?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - u - 2 = -3, 2*u = -5*g + 14. Let t be 6\/(-15) + (-2)\/(-5). Suppose t = -2*h - 5*h + 252. What is the highest common divisor of g and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*y + 12*y - 2 + 7*y)*(2 - 4 - 9) in the form k + c*y and give c.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**3)**(-28\/5))**(19\/3))**(-22\/7))**(-39) assuming y is positive.\nAnswer: y**(-86944\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -1\/4*f**4 + 0*f**3 + 0*f**2 + 3*f + 0. Let j(a) be the first derivative of -2*a**3\/3 + 1. Give j(x(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -47*n**2. Let t(v) = 2*v**2 - 2*v + 1. Let g(b) = b**2 - 4*b + 2. Let y(w) = -g(w) + 2*t(w). Determine y(d(m)).\nAnswer: 6627*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*p**2*r + 2*p*r**2 - 3*p*r + 272*r**2 with respect to p.\nAnswer: 78*p*r + 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**3\/3 - 3*j**2 + 266*j. Let d(k) be the first derivative of -5*k**3\/3 - 130. What is q(d(r))?\nAnswer: -10*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1088) - (6*(sqrt(1088) - (sqrt(1088) + -5)) + sqrt(1088))) + -1 + 3 + sqrt(1088) + 5)*-5*3)**2.\nAnswer: -82800*sqrt(17) + 363825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -10*k - 8. Let x(m) = 5*m + 4. Let o(b) = -3*n(b) - 5*x(b). What is the first derivative of o(s) wrt s?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8386528.\nAnswer: 2, 262079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 25*i**3 + 7)*(2*i - 2*i + 2*i**2).\nAnswer: 50*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 853705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86674 is divided by 21290?\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022 (base 3) to base 9.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*b - 444 = -125*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a microgram in nanograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 3:35 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 1005*c - 1006.\nAnswer: (c - 1006)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from {u: 4, o: 2, b: 1, g: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2c96064 (base 13) to base 14\nAnswer: -1ca4475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 667 + -656 - (37 - 1) - -122\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 850.6918 weeks in milliseconds?\nAnswer: 514498400640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3028666987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -2990154?\nAnswer: 2990151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46251339617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times -4405?\nAnswer: 96910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8458 - 16914 - 13*b**3 + 8456 - 18*b**3.\nAnswer: -31*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292983.\nAnswer: 3, 61, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p - 52. Let l = 2 - p. Let t = 8 + l. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4*s - 22 + 18 = 36, 0 = 347*u - 344*u - s - 26 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 134*w + 1201. Calculate x(-8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*t = 2*p + 1, 2*p - 5*t = -4. Suppose -5 - 7 = -p*f. Let k be (3 + -2)\/(1\/f). Solve 0 = -k*r + z - 9, -3*r + z - 4 - 2 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 35396?\nAnswer: 35399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 0. Let u be (j\/(-5))\/((-1)\/(-5)). Suppose -1 = l - 5*y, u*l - 3*y = 2*l + 5. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/12)\/(8 + 15449495\/(-1931190)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 124 (b) -4 (c) 2\/7 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-15)\/6)*(-8)\/(-6). Solve z = t - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1735*g + 794*g + 1066*g.\nAnswer: 125*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (134 + -145 - (-2 + 3))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uavvuaumamdmmu. What is prob of sequence dv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, w: 4, d: 6, t: 2, q: 2}. What is prob of sequence qw?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21195)\/(-157))\/(2 - -1).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = z - 3. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/6 + 1)*8. Suppose 0*a = 5*a, f*a - 210 = -3*h. Is 20\/h - 145\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 0.263, -3, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57913523 is divided by 201?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 26. Let u be (15\/4)\/(q\/120). Suppose 0*k = -6*k + u. Calculate the greatest common divisor of k and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 15*i**2 - 26*i + 9. What is the remainder when 33343 is divided by j(-6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**4\/12 + 5*s**3\/6 - 9*s**2\/2 + 9*s. Let r be h(5). Let k = r + 11. Solve 5*n - k*d + 13 = 0, -3*d - 1 - 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2\/9, 0.2, -3, -3\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 12. Suppose -5*r + 15 = 0, -r - 26 = -4*s - w*r. Solve 4 = -s*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*d + d = 26, 5*d + 24 = -2*q. Let k be 14\/q*2\/(-2). Let t be (1 - 0 - 1)*(3 - 2). Solve -3*y + k*y - 5 = t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 563*l**2 - 281*l**2 - 282*l**2 - 2*l + 2*l**3 + 104 to the form o*l**3 + u*l**2 + q + n*l and give q.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**7\/20 + 19*f**6\/10 - 481*f**5\/40 + 57*f**4\/4 + 27*f**3 + 1866*f**2. What is u in h(u) = 0?\nAnswer: -2\/7, 1, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 2)\/((-1)\/1). Let w be (-2)\/(-16) + 11\/(-1496). Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035484 rounded to 5 dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15174 - 34?\nAnswer: 15140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*55\/11880*-2.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 0*t + 0*t + 2*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 21*b - 69. Calculate i(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 1. Let z(a) be the first derivative of a**3\/3 + 5*a**2\/2 - 3*a + 2. Let p be z(-6). Let d(x) = 4*x - 1. Give p*d(l) - 5*h(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6938892913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 + d - 619. What is j(0)?\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005858714129 to 7 dps.\nAnswer: -0.0005859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -113036222 divided by -37318?\nAnswer: 3029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/(7\/((-378)\/(-81))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/4 and 52\/61.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = -14*z + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20072 - 20183 + 40098 + 4*g**2.\nAnswer: 4*g**2 - 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = q + q. Suppose -6*p + 111 = 63. What is the lowest common multiple of p and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 + 1. Suppose 0 = -7*q + 3*q + r. Let t = -1 - -5. Solve -t*s - q = -8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l + 2. Let x(i) be the third derivative of -1\/2*i**3 - 5*i**2 + 0*i + 0 - 1\/4*i**4. Give -7*p(q) - 5*x(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:28 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2817 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/3081155 and 69\/116270.\nAnswer: 6162310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 15.71. Let b = g - 1.59. Sort 5, -1, -1\/3, b.\nAnswer: b, -1, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2285 is divided by 274?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 16, 24, 32?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 + 175*r - 44. Determine c(58).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o - 2*u = -62, -2*u = -3*o + 36. Let y be (-21)\/o*(-8)\/(-6). Let l = 0.1 - 0.2. What is the biggest value in 1\/7, y, l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*v = -178*v + 43960. Which is greater: v or 4712\/3?\nAnswer: 4712\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19 - 46*r + 14*r - 14 + 9*r wrt r?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0961 - -54.6039. Let g = -53 + f. Round g to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229402700 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*s + 534*s = 2790 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 12*p - 8. Let d(y) = -4*y + 3. Let x(u) = 8*d(u) + 3*j(u). Let k(q) = 3*q - 7. Let b(i) = 2*i - 4. Let c(w) = 7*b(w) - 4*k(w). Calculate c(x(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -32 - (-96 - -102) - 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2045.4 + 2045. What is the closest to -2\/5 in 0.3, 12, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, -17, -152, -429, -896, -1601, -2592, -3917?\nAnswer: -5624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 2*x**2 - 3*x. Let u be c(2). What are the prime factors of u\/(-7)*-10*-26?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l - 7*l + 8*l to the form x + g*l and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2826, 4, -31 in descending order.\nAnswer: 2826, 4, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44901304*g**2 + 24501833 wrt g?\nAnswer: -89802608*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - sqrt(77)*-2*5)\/((sqrt(77) + 1*sqrt(77))\/sqrt(7)).\nAnswer: 11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -807819 (base 10) to base 4\nAnswer: -3011032023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31100 is divided by 31100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34522 = -26*i - 9607 + 50563. What are the prime factors of i?\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-10)*s)\/(s*s\/(s*s**10)) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15666880 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -13 + (36 - 10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5 = 3*o, o - 22445*w + 170 = -22412*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73.7 + -73.6457. Let u = -0.0316 + t. Round u to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5))**(-9\/2)\/(m\/(m*m**(-3))*m**(2\/13)*m)*(m**(1\/4)*m*m**(1\/2))\/(m*m\/(m\/(((m*m**(2\/7)*m*m)\/m)\/m)))**(1\/4) assuming m is positive.\nAnswer: m**(-8691\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -470 by 6.\nAnswer: -235\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*k + 6. Suppose 2*v - 29 = 5*n, -2*v - k*n + 17 = -5*n. Calculate the least common multiple of 11 and v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/13? (a) 3216 (b) 1 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/16128 and -145\/18144.\nAnswer: 145152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 plus -2.5?\nAnswer: -159.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2589 - 2590 = -3*b + 2*l, b = -2*l + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2133580921?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2551\/(-232) + (-2 - 0). Let f = 714\/29 + t. Calculate the common denominator of f and ((-14)\/(-77))\/((-1)\/(-2)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*u**4*x**2 - 385*u**4*x + 104*u*x**2 + x**2 wrt u?\nAnswer: 696*u**2*x**2 - 4620*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176555?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/5)*b*b**(14\/9) assuming b is positive.\nAnswer: b**(97\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.999952 - -31. Round x to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88440281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 1:45 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-48)\/(-18))*(-3)\/2 + 10200\/200?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = 3*d + 15, d + 5 = 0. Let h = 2 + 0. Let a be 4\/14 + (-15)\/(-21). Solve s = h*j - j + a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 5*q**2\/2 - 24. Let f(r) be the third derivative of -11*r**4\/24 + 5*r**2. Give f(u(j)).\nAnswer: -55*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 209*i - 207*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 2*o + 2, 5*b - 6*o + 10 = -o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -68. Suppose -3*o + 18 = 3. Let t = 5 - o. Which is the closest to -4? (a) p (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*u = -209*u - 572 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2042 (base 5) to base 6.\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 3:49 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (2 + sqrt(1872) + -1 - sqrt(1872)))**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from anxaaazzznnan?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103545 - -13122?\nAnswer: -50423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 - 1)*(-7 + 7 + 12*u) in the form x + g*u and give g.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + sqrt(85)*-2)*6 - -3*(sqrt(85) + 2*sqrt(85)))\/(sqrt(50)\/(sqrt(160)\/sqrt(4))))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2233 and 39\/22.\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*9 + (12 - (-177)\/(-15))*10. Solve -k*i + 28 = -7*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 516, 1179, 2106, 3297, 4752?\nAnswer: 6471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.8 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142 + 3 - 29 + 65)*(-34*s - 2*s - 25*s + (-4*s + 6*s - 4*s)*(-1 - 1 + 3)).\nAnswer: -11403*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r. Let c be i(-2). Suppose 4*b - 4 = p, -c*p - 4*b = p - 4. Does 14 divide p + 43 - (5 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6 = l - 15, h = 4*l - 16. Let a = -18 - -21. Solve l*u - a*u - 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c1640 (base 14) in base 15?\nAnswer: -2b0c7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*u**4 + (0 - 1 - 1)*(3*u**4 - 6*u**4 + 2*u**4) - 123*u**2 - 46*u**2 + 11*u**2 + 2*u**4.\nAnswer: 6*u**4 - 158*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 g when three letters picked without replacement from {m: 1, d: 1, o: 1, b: 1, g: 2, w: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**3 + 876*y**2 + 1749*y - 1229. Determine r, given that d(r) = 0.\nAnswer: -583, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -266\/771 + 3\/257. Let k(t) = -t + 6. Let x be k(7). Suppose 4*z - 10 = 5*q + 3, 3 = -3*q + 4*z. Which is the nearest to q? (a) l (b) 3\/8 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*l + 14, 2*s - 2 = 5*l + 12. Let w = 91 - l. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2960 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 29 + 27. Is 1\/(-4) + 427\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7918*u**2 - 31638*u**2 + 7902*u**2 + 7906*u**2 + 7*u**3 + 7912*u**2.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-18) + 131166\/243. Suppose 0 = -3*f + 5*s - 25 + g, 710 = 4*f + 5*s. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -6*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(396)\/sqrt(192))\/(-5*(sqrt(48) + sqrt(3)) + sqrt(3)) + (sqrt(3564) - sqrt(3564)*1)\/(-2*sqrt(64)).\nAnswer: -5*sqrt(11)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624781?\nAnswer: 761, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -4.9. Let r(v) = -55*v + 276. Let k be r(5). Let d = -18 - -27. What is the nearest to k in y, -5, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddu when four letters picked without replacement from {d: 3, u: 4, f: 13}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + 41)*(-5)\/(-2). Let z = -37 + o. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1146.06133 + -0.23867. Let j = f - -1388. What is j rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54343872 and 3888.\nAnswer: 163031616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3972970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m**2 + 2*m + 2. Let a(s) = -2*s + 6*s**2 - 1 - 10 - 8 + 17. Determine -5*a(i) - 4*n(i).\nAnswer: -2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a40c - -1b?\nAnswer: -a3d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {z: 9, i: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -20.7. Let a = -7.6 + 3.6. What is the closest to 0 in -0.1, r, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(68)*-2 - sqrt(68)) + sqrt(68)) - sqrt(68) - sqrt(68)) + (sqrt(68) + sqrt(68)*-1)*-4)\/(sqrt(96)\/(2*sqrt(6))).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890473047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 5*d + 1. Suppose 0 = 36*p + 144 + 180. Let l(c) = -5*c**2 + 11*c + 3. Calculate p*o(v) + 4*l(v).\nAnswer: -2*v**2 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**6 + 50*v**5 - 2*v**3 - 77*v**2 - 109*v wrt v.\nAnswer: 360*v**3 + 3000*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 - -44. Let z = 19 + -19.5. What is the second biggest value in x, 1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 3, p: 3, r: 1, x: 3}. What is prob of picking 2 x and 1 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -9\/32, -3\/7, 0?\nAnswer: -9\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (5 - (6 - -2))) + -8 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**5\/60 - 5*i**4\/3 - 200*i**3\/3 + 18*i**2. Factor p(b).\nAnswer: -(b + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Let z = 6 - p. 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 next in -56951, -57056, -57353, -57938, -58907?\nAnswer: -60356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119859*j**3 - 6*j**2 + 5860554.\nAnswer: 359577*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (3 + -4 - 0) + 3. Suppose 131 = 3*q - 199. What is the remainder when q is divided by ((-9)\/(-21) + (-524)\/14)*s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 683*w**4 - w**6 + 5*w**2 - 683*w**4 wrt w?\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*v**2 + 2\/9*v + 0 + 2\/9*v**4 + 2\/3*v**3.\nAnswer: 2*v*(v + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 19}. What is prob of picking 1 u and 2 q?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myexxejj. Give prob of sequence jym.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135568 is divided by 8471?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(68)*2.\nAnswer: 4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**4\/12 - 3*r**2 - 77*r. Calculate x(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 4*j**3 + 0*j**3 + 2*j**3 - 2*j**2 + 2*j**2 + (0*j**2 - j**2 + 3*j**2)*(-3*j + 6*j - j) - 2*j**3 - j**3 + 6*j**3 + 2*j - 4*j + 5*j - 2*j**3.\nAnswer: 9*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045631?\nAnswer: 43, 24317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -2. Let d be (-8)\/(1*(-3)\/9). Suppose -p + s = 0, -3*b + 25 = 5*p - d. What is the smallest common multiple of 2 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = -9. Let y = a + 10. Suppose 5*w - 7*w + 22 = y. Solve -w = 3*j + 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22484000 divided by -292.\nAnswer: 77000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-16)\/(-128)*-40).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 451063200 a multiple of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/((-4)\/(-3)))\/(4200\/(-508000)). Let p = l + -2505\/28. Factor p*c**3 - 1\/2 - 9\/4*c**2 - 1\/4*c**4 + 7\/4*c.\nAnswer: -(c - 2)*(c - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 11.5, -1.3, 2\/3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -o. Suppose -6 = -g - o. Solve 5 = g*t - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24339 and 1071.\nAnswer: 1241289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 10*i + 5*i + 5*i - i. Suppose 8*n - 12*n + 4 = 0. Let l(a) = -5*a**3 + 4*a**2 - 4*a. Determine n*l(b) - 4*y(b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 + (-3 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 585 = 10*r. Suppose -29 = 4*y - r. Suppose -u + 9 = -k + 2, -y = -3*u + 2*k. Solve -5*q + q - u = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(sqrt(44)\/sqrt(4)) - sqrt(28) - (-5 + -1 + sqrt(28)))**2.\nAnswer: -24*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((-39)\/(-390)*5\/(-36)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, c: 4, h: 4, m: 3, b: 6, o: 1}. Give prob of sequence cbv.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13528.56 minus -153245?\nAnswer: 139716.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-63))\/(11\/77)*18\/5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 0*m**5 + 0*m**6 - 11\/3*m**3 + 10\/7*m**7 + 0*m + 0*m**2 + 0*m**4 - 18. Find the third derivative of n(k) wrt k.\nAnswer: 1200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 32187502?\nAnswer: -2\/16093751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 7*i + 2*i = -35, t - i + 3 = 0. Suppose -t*n = -7*n, -3*n = -4*a + 36. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37584 is divided by 404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45524 - 67.\nAnswer: 45457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*g + 31. Let o = 105 + -101. Which is the closest to g? (a) -2\/15 (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 2\/12243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -2, 1.5, 0.3, 1\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 + x**3 - x**3 + (-2*x**3 - x**3 + 2*x**3)*(2 + x**2 - 2) + 2*x**5 - 4*x**3 + 4*x**3 - x**5 - 101*x**2 - 12*x**5 - 5*x + 100*x**2.\nAnswer: -11*x**5 - x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.8179838 years?\nAnswer: 0.08179838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 13. Let l = 26 - a. Suppose 2*t = 7*t - 4*h + l, -4*t = 2*h - 10. Solve 2*q - 5*r + 15 = -8, t = -2*q - 5*r + 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126886.\nAnswer: 2, 53, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 34 = 5*a - 3*a, -2*a - r = -37. Calculate the greatest common factor of 2979 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14081.17247 + 14081. Round d to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6568945*p*y**3 - 2*p*y**2 + 3*p*y - 246*p + 29*y**3 + 199*y**2 - 4 wrt y?\nAnswer: 39413670*p + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -5298.\nAnswer: -10596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2686 - -2702. Suppose n = -3*n + 704. Calculate the highest common divisor of i and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -80 + 12. What is the derivative of -3*h**4 + 0*h**4 - 45 - z*h + 35*h wrt h?\nAnswer: -12*h**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5063 + 2*p - 5063.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 3692. Let p = 3781\/4 - i. Let j = 8491\/2230 - 24\/223. Calculate the common denominator of p and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1555413 is divided by 47103?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72150.\nAnswer: 2, 3, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33002551333 + -3?\nAnswer: 33002551330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6 = -w. Let o = w + 1. Let h(u) = -2*u + 4*u - o*u. Let j(i) = 2*i**2. What is h(j(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 = 3, 2*a = 4*w + 16. Suppose a*t - 2*g = 18, g + 37 = 5*t + 12. Suppose 190 = t*r - 2. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1250, 2500, 3750, 5000?\n\"Answer: 1250*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Let k = -3 + 2.6. Let o = 5469.6 - 5469.6. Which is the biggest value? (a) -8\/7 (b) x (c) k (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 2*z**2 + 2*z - 3. Suppose -74 = -3*m - 2*g, 4*g - 122 = -5*m - 0*g. Calculate the remainder when m is divided by v(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = 0. Let j(h) = h**2 + 9*h + 22. Suppose 0 = 9*o - 4*o + 25. Let w be j(o). Sort g, -2, w in decreasing order.\nAnswer: w, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2750 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*w**3 - 19*w**2 + 86*w - 52960 wrt w.\nAnswer: 102*w**2 - 38*w + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.2. Let o = 0.515 + 0.485. Let r = 0 + 0.4. Sort -1\/8, r, a, o in descending order.\nAnswer: o, r, a, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -25554*j + 25550*j + 19 = q, 4*q - 58 = 2*j for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from {t: 9, d: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14.9 and -0.0473188454?\nAnswer: 14.8526811546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 1831?\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5428379 is divided by 6636?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(-2 + (-8)\/(-5)). Let h = d - 6. Let i = 94\/5 + -19. Which is the biggest value? (a) -0.4 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215567 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.302381ml to litres.\nAnswer: 0.005302381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 154748.59414 to the nearest integer.\nAnswer: 154749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 14*z**2 - 20*z - 44. Calculate s(-15).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 6 + 11. What is the units digit of (30\/(-24))\/(x\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*l - l - i, 3*l - 47 = -2*i. Let g = l - 8. Suppose 0 = -g*c + 3*c + 28. Calculate the remainder when 12 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 1, -3034161, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10000010111 (base 2) to base 12\nAnswer: -733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -28*g. Let v(a) = -26*a + 13*a + 12*a. Determine v(q(h)).\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 23 in increasing order.\nAnswer: -10, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 9) to base 15\nAnswer: 7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 2605 in increasing order.\nAnswer: 2, 3, 2605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - -7 - -85 - 121.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-195)\/(-2)*(-72)\/(-54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/((-1)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5192857 to the nearest integer?\nAnswer: 2279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 + 0 = 0. Let z be (36\/(-15))\/(6\/(-40)). Suppose 3*d - z = -5*o, 5*o = 2*d + d + a. Solve -4*m + o + 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - ea9e?\nAnswer: -eaa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 3\/2 (c) 0.4 (d) 1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 4*v = 0. Is -1 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 - -2. Let v be 1560\/46 + 4\/46. Let o be v\/72 + (-9)\/(-108)*-3. What is the closest to o in s, -5, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134862.\nAnswer: 2, 47, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1006978 and 61999.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2560 - -2562.2. Which is the fourth smallest value? (a) 5 (b) l (c) -0.11 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, o: 3}. Give prob of picking 1 d and 2 o.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*t + 8034 + 2999 = -6571 + 4852 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2960, 3202, 3816, 4976, 6856, 9630?\n\"Answer: 29*s**3 + 12*s**2 + 3*s + 2916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 571620041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 17*d + 7. Let p(n) = 18*n - 8. Let u(q) = -3*p(q) - 2*y(q). Let c be u(7). Let z = 62 + c. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o**3 + 8588*o - 8590*o - o**4 - 7 - 2*o**3 + 4*o**2 to the form d*o**2 + f*o**4 + n*o + m*o**3 + r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41554\/9 + 4611. Find the common denominator of w and 1\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 2. Let i be y(0). Let z be i\/(-4)*10\/(-1). Let b be (-2430)\/(-1080) + (-2)\/(-8)*-1. What is the closest to 0 in z, b, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 7. Let o be s(2). Let c = 10 + o. What is the tens digit of (10\/c)\/(4\/252)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 42, 3, 5 in ascending order.\nAnswer: 0, 3, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1525 + -2303. Let y = -2\/2105143 + 54074808307\/69469719. Let m = y + v. Find the common denominator of 34\/33 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-9))\/((((-14)\/26)\/(-7))\/((-48)\/208))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9676, -9666, -9648, -9622, -9588, -9546?\n\"Answer: 4*u**2 - 2*u - 9678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w - 3. Let u(x) = 3*x + 2. Calculate -5*p(l) - 7*u(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 (base 7) in base 2?\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-291)\/17 + (-2)\/(-17). Let q = 22 + u. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 5. Let l be v(-4). Let n be l\/(-2) - (-5)\/(-10). Let w(o) = 2*o**2 + 5*o - 5. Let u be w(-5). Solve n = -5*i + u, -2*r = -i + 1 - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178561 is divided by 44637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)\/o*o**3)\/(((o*o**5)\/o)\/o**(-6)) assuming o is positive.\nAnswer: o**(-61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 18. Let p = -2 - b. Let l(n) = -3*n + 4*n + 7*n + p. Let q(m) = 23*m + 14. Give 17*l(d) - 6*q(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6231, 1317, -3597, -8511?\nAnswer: -13425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -426, -1741, -3946, -7047, -11050, -15961?\nAnswer: -21786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3 (c) 7 (d) 1\/8 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -9 (b) 0.4 (c) -6\/11 (d) 2\/17 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.51.\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17624779 to the nearest integer?\nAnswer: 4198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - j + 6*j - 6 = 0, -2*u - 4*j + 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000603703713 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 12*r**2. Let a(q) = -q**2 + 8*q - 9. Let o be a(6). Let d be 18*(o\/6 + 0). Let g(h) = 0*h**2 - 2*h**2 - 9 + d. Determine g(x(b)).\nAnswer: -288*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 9*o**2 + o + 4. Suppose 5*g + 18 = 3*g. Let h be t(g). What is the common denominator of (-2)\/h + (-342)\/80 and -2\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3*o + 10 = 0. Suppose -2*l = 4*p - 14, 0 = 5*l - 0*p + 4*p - 53. Suppose -5*k = -2*n + 6*n + 8, 3*n - k - l = 0. Solve -n*b - 5 = -o*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142005 - -2455?\nAnswer: 144504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g + 554. Let j(l) = 13*l + 1651. Determine -2*j(r) + 7*z(r).\nAnswer: 2*r + 576","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1983 and -0.03.\nAnswer: -0.005949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 237*q**2 - 3*q**3 - 237*q**2 - 62*q + 36*q**3 wrt q?\nAnswer: 198*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294726.4ml in litres?\nAnswer: 294.7264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 757910\/3696 + (-14)\/(-77). Let y = 1395\/7 - u. What is the common denominator of y and 161\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 38 = 3*i, 0 = i - 0*i + 5*p + 6. What is the smallest common multiple of i and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from xrrrrrrr?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15283323086 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690*v - 33 = 685*v - 4*t, -5*v - 30 = -5*t. Sort 0, v, 5, 354 in ascending order.\nAnswer: 0, v, 5, 354","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 + -75. Suppose -5*p - 3*o - 1 = 0, -o - o = 2*p - 2. Which is smaller: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7045381*j**5 - 1091436*j wrt j.\nAnswer: -140907620*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5648*r**3 - 1762*r**3 + 1 - 5 + 2*r + 2.\nAnswer: -7410*r**3 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(7) + -1)**2 + sqrt(30)\/(-4*sqrt(10)) + 1*((sqrt(3) + 1 + 2)**2 - (sqrt(3) + (sqrt(75) - sqrt(75)*1))**2).\nAnswer: 15*sqrt(3)\/4 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -44 + (-5 - -27) + -29 - (5 + -1)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22748790283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 12:53 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -68606, -274530, -617776, -1098344, -1716234?\n\"Answer: -68661*k**2 + 59*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -4)*1 - 2. Let h be (0 - -6)*(-2)\/v. Find g, given that g**3 + g**2 - h*g + g**2 + 4*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 337*l**4 + 61*l - 1 wrt l?\nAnswer: 4044*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*l - 7, -6*f = 3*l - 2*f + 6. Let x(k) be the third derivative of 0 - k**l + 0*k**3 + 7\/24*k**4 + 0*k. Let t(n) = -2*n. What is t(x(z))?\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 - (-104 - -53) - (-14 - 0).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22\/(-33) + (-542)\/(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3 + 18*h + 16*h + 3*h**2 - 28*h = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 1, x: 1, u: 1, m: 1}. Give prob of sequence um.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -21 (b) 1\/8 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1091*f**2. Let s(x) = 3*x. Give s(u(r)).\nAnswer: 3273*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 98226153307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 20, 3*k = 4*i + 12 + 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/216 and 83\/30.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001 + -201?\nAnswer: -10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 14) in base 2?\nAnswer: -1001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02386512574 rounded to 5 decimal places?\nAnswer: -0.02387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -2\/5 (c) -2\/7 (d) 40 (e) 2\/3 (f) -3\/11 (g) -12\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 849, 1617, 2383, 3147, 3909, 4669?\nAnswer: 5427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 8 = 4*j, 12 = 3*x - 2*j + j. Suppose -5*b - 4*m = -176, 5*b - 2*m - 24 = x*b. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 4 = 14*h. What is the tens digit of 2 - (h\/8 + 243\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342696, -342238, -340978, -338508, -334420, -328306, -319758, -308368?\nAnswer: -293728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 + 9*b - 85. Give d(8).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/3*(-7)\/175*-5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -162636, 4.9, -4 in descending order.\nAnswer: 4.9, 1, -4, -162636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1691, -3401, -5107, -6809?\n\"Answer: 2*b**2 - 1716*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-12) + 3\/(-2))\/(6 + -64 + 23)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (14 - (-5 - (6 + 17 + -14)))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**7\/105 + 7*k**3\/6 + 3*k**2 - k. Let d(t) be the first derivative of p(t). Differentiate d(q) wrt q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 57. Is 5 a factor of (x - -2) + 1\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 216 (b) 3\/53 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evlbveevevex. Give prob of picking 2 v.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, f: 10, o: 2, i: 2, y: 2}. Give prob of sequence oif.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.891057 + 0.253\nAnswer: -0.638057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**3 + 26591404*g**2 + 44193883031068*g - 132581888415948 = 0.\nAnswer: -3323927, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 3*j + 6. Let w(y) = -y**3 - 3*y**2 - y + 1. Let d be w(-2). Let i be 8\/3 - d\/3. Which is the biggest value? (a) j (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5984*h + 5988*h - 4*l = 64, -12*h + l + 16 = -143 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 smaller than -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*j = 8, -3*y - 2 = -2*j + 2. Let r be y + 7*-7 + 21\/(-7). Let o = -51 - r. What is the lowest common multiple of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.54 - -0.91. Let n = -1.44871 + c. Round n to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10095, 10040, 9879, 9558, 9023, 8220?\n\"Answer: -9*w**3 + w**2 + 5*w + 10098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 329925 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 53*h + 2. Let s be j(-19). Which is smaller: s or 649?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 4 - 1)*(13*i**2 + 14*i**2 + 40*i**2) + (-2*i + 4 - 4)*(-2*i - 2 + 2) + 26*i**2 + 76*i - 76*i)*(-6*i**2 + 2*i**2 + 3*i**2).\nAnswer: 439*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-4))\/((-69)\/((-276)\/(-8))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 480160?\nAnswer: 480160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1242 and 40009842.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.64 + 3.24. Let p = 0 + -1. What is the second biggest value in 0.5, r, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17424 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62 - -2a08087?\nAnswer: 2a08139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00074609136 to 7 dps.\nAnswer: 0.0007461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 16. Suppose 0 = 6*f - 3*f - j. What is the second derivative of -a + 0*a + 2*a**2 + f*a wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0365 + -65140104.\nAnswer: -65140104.0365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o - 12. Let r be d(-18). Let w = -56 + r. What is the least common multiple of 24 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 6*z + 2*z + 2*z + 0*z - z + (4 - 1 - 2)*(-4*z + z + 2*z) - 3 + 3 - z - 5 + 5 - z - 2*z - 2*z + 2*z - 5*z - 3*z + 4*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/240 and -69\/5110.\nAnswer: 122640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*w - 17396 = 76*w + 5*p, -w + 5*p = -5812. Calculate the highest common divisor of w and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3258, -3275, -3288, -3291, -3278?\n\"Answer: d**3 - 4*d**2 - 12*d - 3243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2647266 and 1436.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2878.\nAnswer: 2, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 172896 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 58 = 9*b - 50*y - 89*y, -2*y - 1 - 28 = b for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 9662*l\/5 + 27132.\nAnswer: -2*(l - 4845)*(l + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.0737\nAnswer: -0.01474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 196599193079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + x**2 + 2*x. Let k be c(0). Suppose 6*u - 4*u - 100 = k. Suppose -7*l + u = -2*l. What is the least common multiple of 30 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2448) + 1 + 0 + sqrt(2448))**2 - (sqrt(2448) - (2*sqrt(2448)*-2)**2 - (sqrt(2448) + (3 + (sqrt(2448) + -1 - sqrt(2448)))**2)).\nAnswer: -144*sqrt(17) + 48973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1614.96 and 0.4.\nAnswer: 645.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 + -2.1. Let a = 4.2 - 3.1. Let s = a + v. Is s not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 7:32 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((108\/(-45))\/1*(-25)\/20)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 10:12 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 - 5*d**3 + 3*d**3)*(13*d - d + d) + 1 - 1 - 3*d**4.\nAnswer: -29*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-32)*0 - (-2)\/10. Let f = -132440 + 79861244\/603. Let l = f + 1\/67. What is the nearest to -1 in l, o, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -30117.\nAnswer: 30117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 8*j - 12. Let q be u(9). Is 751\/2*(-6)\/q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 15 = 3*y, 0*w - 5*w - 4*y - 49 = 0. Let b = w - -5. What are the prime factors of (2\/b)\/(1\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29345 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*z + 5*j = 178*z, -j - 5 = -z. Let u(h) = 2*h - 11. Let f be u(10). Let x(o) = o + o**2 + f*o**2 - 5*o**2 - o**3 - 7. What is x(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, -4\/7, 0.05 in decreasing order.\nAnswer: 0.05, -0.13, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*u - 50*u + 68 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -390 + 2011. Let h = -48557\/30 + u. Find the common denominator of -9\/50 and h.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**2. Let y be (5 + -1)\/((-10)\/(-15)). Let f(k) = -9 - k**2 + 2 - 6. Let h(b) = 6. Let q(z) = y*f(z) + 13*h(z). Give x(q(c)).\nAnswer: -144*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14648931 to the power of 1\/2, to the nearest integer?\nAnswer: 3827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 76044 = 4*g + 76011, -3*q + 3*g + 84 = 0 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/366496 and 39\/128.\nAnswer: 1465984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.97 - -6. Let z = -4.97 - k. Let u = 90.9 - 91. Which is the closest to u? (a) -2 (b) -3\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 11*k**2 + 11*k - 3. List the prime factors of c(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, 25, -36, 4?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-106)\/(-2) + 19825\/(-305).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123 + 279. What is the highest common factor of 39 and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 5*h - 4. Let n be w(-3). Find i, given that 1 - i + 1\/4*i**n = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.837 - -0.637. What is the third biggest value in z, -0.5, -11\/15?\nAnswer: -11\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k - 9. Let l be o(-7). Suppose 24 = h + d - l, -4*h + 4*d = -168. Let u = h + -33. Calculate the remainder when u is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125 + 121. Let z be (4 - (-4 + x + 4))\/(-2). Suppose -4*m = -p + 9, 8 - 1 = 3*p - 2*m. What is the third smallest value in -7, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18492416?\nAnswer: 2, 18059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4447\/117 + 38. Are q and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -471*t + 5184. Let k be h(11). Suppose -14\/5*c**4 + 62\/5*c**2 - 8*c + 2*c**5 + 8\/5 - 26\/5*c**k = 0. What is c?\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 10*n**2. Let l(p) be the second derivative of 593*p**3\/3 - 7707*p. What is q(l(k))?\nAnswer: 14065960*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 4:01 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -102*g + 1729. Let t(i) = -20*i. Determine 5*t(f) - u(f).\nAnswer: 2*f - 1729","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3456)*-2)\/sqrt(3))\/(sqrt(36) + (sqrt(252) + sqrt(252)*2 - sqrt(252))\/sqrt(7)).\nAnswer: -8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 147 + 905 = -5*l, 0 = -z + 2. What is l rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**6\/80 - 13*j**4\/12 - 11*j. Let x(s) be the third derivative of p(s). Let k(d) = -d**2. Calculate k(x(f)).\nAnswer: -81*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5)\/(11\/(-55)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00288095467 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35097 is divided by 1671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -24646 (base 11) in base 4?\nAnswer: -20220312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -230 + -169. Let y = 616 + m. List the prime factors of y.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 624971*t - 1249759*t + 624903*t.\nAnswer: 115*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1705.37 rounded to the nearest 10?\nAnswer: -1710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1104343 bigger than -1104341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z**2 + 5*z + 3. Is g(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7224*j. Let m(p) = 2*p - 41224. Determine u(m(h)).\nAnswer: -14448*h + 297802176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 868138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4006*c**2*j**2 + c**2*j + 6*c**2 - 70*j - 1 wrt j?\nAnswer: -8012*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 457759 and 107708.\nAnswer: 1831036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 26, -1 in decreasing order.\nAnswer: 26, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/5)*i*(i*i**(-3)*i)\/i)\/(i*i**2*i*i)**(-42) assuming i is positive.\nAnswer: i**(1052\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 434616672 a multiple of 686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 4:06 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - 21*i**2 - 42*i - 12. What is n(-6)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(209)*-2)\/sqrt(11).\nAnswer: -2*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*x - 5*x - 86, 0 = -4*x - 2*f - 394. Let r = -79 - x. What is the lowest common multiple of r and 308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793674 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**3 + 83*w**2 - 172*w + 85. Let f(x) = -x**3 - x**2 + 1. Let j(r) = -3*f(r) - s(r). Let j(k) = 0. Calculate k.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12454868 times -7?\nAnswer: -87184076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o + 25 = 0. Let n(i) = -7761*i**3 - 6*i**2 - 6*i - 5. Let j be n(o). What is j rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 - 4*h**2 - 4*h + 3. Let n(k) = -k**2 + k**3 - 1 - 2*k**3 + 7*k + 2 - 8*k. Determine f(y) - 4*n(y).\nAnswer: -y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*x)*(-4 + 4 - 2*x**2) - 1728*x**2 + 1728*x**2 - 128*x**3.\nAnswer: -124*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyne when four letters picked without replacement from yneyp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47526 by -6.\nAnswer: -7921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 31 + -28 + 3*1. What is the third derivative of 7*y**5 - 5*y**h - 2983*y + 4*y**5 + 2983*y - 33*y**2 wrt y?\nAnswer: -600*y**3 + 660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 67, 103?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -33*p**2 + 0 + 1\/42*p**7 - 7\/24*p**6 + 0*p**3 - 5*p - 5\/2*p**4 + 4\/3*p**5. Factor v(n).\nAnswer: 5*n*(n - 3)*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 4*o**2 + 9. Let z be a(-4). Solve -14*y + z*y = -10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44415\/180 - 1\/(-4). Suppose -2*b + 237 = 3*r, 16*r - 11*r = -2*b + g. Calculate the remainder when b is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*k - 112 = 0. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-135)\/(-8)*22936\/22. Let p = 17596 - b. What is the common denominator of 71\/20 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55192 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10680\/(-19580))\/((-6)\/22)*-85*(-2)\/(-4).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9362621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mch when three letters picked without replacement from {m: 2, w: 4, h: 4, c: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 265565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(68) - (sqrt(68)*1 + 0))**2 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 871, 1271, 2401, 4639, 8363?\nAnswer: 13951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2 - 2 + 3*t**2 + 2*t**2 - 19*t - 1. Let f be o(-9). Let d(i) = i**3 - 7*i**2 + 7*i + 8. Calculate d(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519160*m + 2346 = 519091*m for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 36 = -4*v, -2*v - 2*i = 3*i + 17. Suppose -10 = -5*s - 0*s. Suppose -8 + s = -2*g. Solve -o - 7 = g*b, -b - v*o = 20 - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 2*h + 8*h. Let n(f) = f**2 - 5*f**2 + 3*f**2. Calculate t(n(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -1\/60*r**5 + 0*r**2 - 1\/24*r**4 + 12 + 0*r - 5\/3*r**3. Let x(o) be the third derivative of k(o). Determine x(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 200.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m + 5*m + 38*m**4 - 30*m**3 - 4*m - 14*m**5 + 2*m**2.\nAnswer: -2*m*(m - 1)**3*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, v: 13}. What is prob of picking 1 v and 2 f?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 750 and 297000?\nAnswer: 297000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*h - h - 4 = 0, -2*x - 3*h = 12. Let g = x + 3. Solve 4*o - 15 = -k, -2*k + g*k - 3*o + 20 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000200341741 to seven decimal places.\nAnswer: 0.0002003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 5*f**8\/336 - 8*f**7\/21 + 43*f**6\/24 + 8*f**5 - 195*f**4\/2 + 360*f**3 + 2200*f**2 + 2. Find j, given that u(j) = 0.\nAnswer: -3, 2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 616072*o**3 - 14432*o**2 + 4*o?\nAnswer: 3696432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -23. Let i = 28 - b. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1, -34 in descending order.\nAnswer: 1, -2\/13, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*k**4 + 50*k**4 - 2*k**3 - k**3 + (-3*k**3 - k**3 + 2*k**3)*(-3*k + 0*k + 2*k) + 2*k**4 - 2*k**4 + 2*k**4.\nAnswer: 8*k**4 - 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 233471854 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**3 - p**3 - 34*p**3.\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000193 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5896 and -6.717.\nAnswer: 5889.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -421767, -421764, -421759, -421752, -421743, -421732?\nAnswer: -421719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 134*j - 312 + 14 = 0. Factor 6\/19*i - 2\/19 - 6\/19*i**j + 2\/19*i**3.\nAnswer: 2*(i - 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, j: 12}. Give prob of sequence fjff.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -26?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1110022112?\nAnswer: -1110022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 29*d - 30*d - 18 = 0, -5*d - 6 = -p. Let l = 4 + -3.8. Which is the second smallest value? (a) l (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 470748 + -272287. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1760915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-3\/7))\/(y*y*(y*y\/y**1*y)\/y*y))\/(y\/y**0)**(27\/5) assuming y is positive.\nAnswer: y**(-279\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 5, d: 5}. What is prob of sequence ds?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 2. Let s be g(1). Suppose -p = -0 + 4, -4*w + 16 = -p. Sort w, s, 4 in decreasing order.\nAnswer: 4, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6482387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 19*j**2 - 7023*j - 7035. Determine a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/3))**(-2\/7) assuming z is positive.\nAnswer: z**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i. Let f(y) be the first derivative of 0*y**3 - 9 + 7*y + 17\/12*y**4 + 0*y**2. Let p(o) be the first derivative of f(o). What is p(v(b))?\nAnswer: 68*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 1662\nAnswer: -498.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 16*r**2 - 32*r + 65. What are the prime factors of t(-15)?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -39. Let b = 0.3 + -1.3. Sort u, -0.4, b.\nAnswer: b, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6722*1.3.\nAnswer: 8738.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88846.57 litres to millilitres.\nAnswer: 88846570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**5 - 26*g**4 - 27*g**3 + 91*g**2 + 115*g + 48. Suppose 5*a + 435 = 425. Let t(c) = c**3 - c**2 + c. Let p(k) = a*i(k) - 18*t(k). Factor p(h).\nAnswer: 4*(h - 2)*(h + 1)**3*(h + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.05 - -0.05. Let j = m + 7. Suppose -89 + 39 = 18*x - 43*x. What is the closest to x in -2\/9, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -11*n + 5*n. Sort 14, n, -3 in descending order.\nAnswer: 14, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (-1 - -3))*3\/6. Suppose v = -4*m - p + 43, -2*m = 2*m - 2*p - 34. Solve -m = g - 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 5, r: 2, v: 3, m: 1}. Give prob of sequence mr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 2*q + q)*(-q - q + 0*q + (2 - 3 - 1)*(3 - 3 + 2*q) + (-1 + 5 - 1)*(-3*q + 0*q + 6*q)) as n + a*q + u*q**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1905 * -391.5.\nAnswer: -857.58075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -257.2 and -2838.2?\nAnswer: 2581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (728\/32)\/13 - (0 + (-3)\/12). Sort -39, 3, 4, w, -3.\nAnswer: -39, -3, w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 705573 and 8415?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1.96. Let l = s + -0.26. Let y be (3\/5)\/(21\/(-14)). What is the third biggest value in l, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - c - 1. Let j(w) = -w**3 + 10*w**2 - 7. Let t(x) = x**3 - 2*x**2 - x + 2. Let d(f) = -j(f) - 3*t(f). Determine 3*b(v) + d(v).\nAnswer: -2*v**3 - 7*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 17875726?\nAnswer: 893786.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29244*z - 2501*z + 25431*z.\nAnswer: 52174*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56\/(-9) - (-4)\/18. Let j(t) = -t**3 - 11*t**2 - 9*t + 7. Let q be j(-10). List the prime factors of (q\/(-4))\/(u\/(-144)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 75, 178, 333, 546?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 68 = -5*s - 10, 0 = 2*s + 2*h - 20. Calculate the lowest common multiple of 3 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 498 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -4) + -9 - (-1 + 33).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - 21?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 59. Let i be s(39). Let y be (-140)\/3*(i + -23) - 4. What is the highest common factor of y and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1446 + -385. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -230, -506, -782, -1058, -1334, -1610?\n\"Answer: -276*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*m + 19 = 0, 0 = 6*m - 3*m + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28 - ((-4 - -7) + (28 - 22) + -7 + -3)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0.7. Let g = 0.3 + k. Let o = 1103.7 + -1103.8. Which is the fourth smallest value? (a) g (b) -1\/7 (c) 5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 165*j - 3143. Calculate i(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**9\/2160 - c**5\/120 - c**4\/12 - 3*c**2. Let j(w) be the second derivative of l(w). What is the derivative of j(p) wrt p?\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 0*f + f)*(-112 - 148 + 85)*((4*f**2 - 3*f**2 + f**2)*(0 + 0 + 2*f**2) + (4*f**3 + 3*f**2 - 3*f**2)*(-2*f + f + 3*f)) - 2 + 2 + f**5.\nAnswer: 4201*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + 2 + 1 + sqrt(245) + 2 + (-2*sqrt(245))**2.\nAnswer: 7*sqrt(5) + 987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 38. Suppose -5*h - 5 = -q*h, 4*h = -x + 3. Calculate the remainder when 4*((-13)\/2)\/(-1) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 - (-2 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/7*3\/4*(-2030)\/87\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 6*x + 24. Let k be m(-10). Let a(p) = -p**2 + 9*p - 6. Let s be a(6). What is the common denominator of 77\/4 and s\/k*704\/(-60)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**6\/360 + y**5\/30 + 4*y**3 - 7. Let r(v) be the third derivative of h(v). What is r(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1533895 litres?\nAnswer: 153.3895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/9, -22, -11, 2\/3, -9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -7 + 2. Let o be -30*(p + (-1)\/3). List the prime factors of (-20)\/6*72\/o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*d = 215*d + 2028. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5746 (base 10) to base 4.\nAnswer: -1121302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 5*k**2 + 6*k - 6. Is o(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (224\/49)\/(-8) - (-108966)\/7. Suppose -44*p = -p + f. Sort 1, -3, p.\nAnswer: p, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 0.067 (b) -17155 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.55 - -5.45. Put a, -2\/7, -4 in increasing order.\nAnswer: -4, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1006 (c) 0.12 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/2 in -31, 2, 2\/3, -4, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1 + (-4)\/3). Suppose -4*r - k*z = 4, r + 0*z = 3*z - 16. Let g(w) = -6*w. Does 9 divide g(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14*b + 8. Let j be (2\/3)\/(1\/3). Let p(i) be the second derivative of 2*i + 0 - 3\/2*i**j - 5\/6*i**3. What is 3*n(h) + 8*p(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209921802 by 653962.\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7*n = 140. Let j = -19 - n. What is the highest common divisor of j and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75672251*y**2 + 8929075*y + 6 wrt y?\nAnswer: 151344502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 438242432 to the power of 1\/3, to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9 = n - 1, 2*n = 2*u - 12. Suppose -105 + 25 = -u*z. Suppose -z = l - 30. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 28. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*g + 60, 0*g = 2*u + 5*g + 75. What are the prime factors of 344\/6 - u\/(-75)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 523 + 101. Let f = o + 215. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3\/v**(-1\/3)*v**(-1\/10)\/v**5 assuming v is positive.\nAnswer: v**(-53\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 + -605224086544?\nAnswer: -605224086434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 3*y + 2. Let f be k(3). Suppose -h - 3 = -3*p, 5*h + f*p - 17 = p. Suppose -h*n + 160 = 2*n. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 28, 47, 74, 109, 152, 203?\n\"Answer: 4*y**2 - y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, m: 2, a: 3, s: 2}. What is prob of sequence sama?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*2*-3)**2 + sqrt(190)\/(3*sqrt(90)).\nAnswer: sqrt(19)\/9 + 82764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8 = 2*r + 60, 5*x = -4*r - 59. Let n = x + 17. Suppose j = -4*i + 12, n*i + 5*j - 2 = 4. Solve y + 2 = -i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/5 + 41\/20. Let q = -255\/403 - -979\/2821. Which is the third biggest value? (a) x (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 1.17016942875617.\nAnswer: 1.47016942875617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*1 + (-2 - -1). Let l be ((-24)\/10)\/(3\/i). Solve 3*g - l = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 7*v**2\/2 + 3. Let s(f) = -2*f. Determine z(s(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 11*q**2 + q + 12. Let z be h(-11). Suppose -6*w = -5*w - z, -4*i + 49 = -3*w. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + 33. Suppose 0*i - z = 5*i. Let u = i + 35. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 12*m**2 + m + 13. Let r be i(-12). Let w be (1\/2)\/(r\/8). Suppose -756 = -4*z - y + 5*y, -4*y = w*z - 724. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.6 (b) -0.021 (c) 1 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 11*v**2 + v**2 + 12*v**2 - 1.\nAnswer: 24*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5707 is divided by 1417.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.1. Let p be 4\/(-4)*(-10)\/5. Suppose -p*n - n = -6. Which is smaller: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -172.2, -1\/69, -3?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a factor of 10467555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 229.82 + -159.82. What is the nearest to k in -3\/10, 0.1, -4\/5, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 1. Let m be l(-3). Suppose -3 - 1 = -m*s. Suppose y - 22*y + 210 = 0. What is the lowest common multiple of y and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.1822749 to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 5624223?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = o - 3. Let n be o\/(-2)*(-54)\/(-24). Let y(v) = -v + 11. Is 10 a factor of y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255492 divided by 564?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28050 and 18700.\nAnswer: 56100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228133 is divided by 335?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 14*w**3 - 5*w**2. Let i(x) = -21*x**3 + 7*x**2. Give 7*g(k) + 5*i(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58863431?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**2 + 5*g - 3. Let k be (-1)\/((-21)\/9 - -2). Let r(u) = 11*u**2 + 11*u - 7. Let p(l) = k*r(l) - 7*q(l). Factor p(h).\nAnswer: -2*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301937.\nAnswer: 17, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u - 2. Let i be (-93996 + -4)\/(u\/10). What is i rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - 3.4. Let u = -779 + 777. What is the biggest value in g, 2\/5, u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 6*b**2 - 8*b + 9. Let u = -3 - -10. What are the prime factors of m(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - 40fd?\nAnswer: -40f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + 6\/18*-15\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10 - 3 - 3*b - 18*b**2 + 2*b**3 + 21*b - b**3. Let m be v(17). Suppose m = -o + 3*o. Solve -1 = -o*f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/5*(-2 - 3). Is d greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -227 greater than or equal to -228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, -4.5, -1647361, 0.4?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -37. Calculate the remainder when h is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbxmr. Give prob of sequence bxm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncncncccnccnnn. What is prob of picking 2 n?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23320241 - -21?\nAnswer: -23320220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z - 23 = 3*x, -3*z = -3*x - 15. Suppose -j - z = -3*j. Suppose -j*c = c. Solve y + 4*y + 20 = c, -k + 5*y + 15 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 5*g**2 - 11*g + 33. Let a be f(6). Let k(q) = 153*q - 9. What is the tens digit of k(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 342 (c) 3 (d) 1.4 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8.45 (b) -4 (c) 19 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6493433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a - -5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 8*w + 7. Let t be x(-11). Suppose 2*l + 13 = 3*l + 5*z, -3*z = 2*l - 19. Suppose -t = -3*f + l. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 20*s**2 + 2*s + 11. Let g be (-8)\/(-14) + (-527)\/(-119). Suppose -2*v + 31 = -3*i + 11, g*v = -5*i. Is u(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 0.5, -5\/6, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 43370300 to the nearest 100000.\nAnswer: 43400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -37. Suppose -2*p - u + 9 = y, 3*p = p + 2*u. Let a(d) = 3*d**3 - d**2 + 5*d + 1. List the prime factors of a(p).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 89033602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1199\/8020?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6*c + 130. Let t = -63 + 58. Let w(s) = -2*s**3 - 6*s**2 + s + 8. What is the remainder when w(t) is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12469822733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -16*o - 4. Determine z(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 8*x - 17. Let w be c(-10). Solve 4*q = p + 2*q + 6, q + 7 = w*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 10*u**2 - 5*u + 4. Let o be m(9). Suppose -7*h + o = h. Is 6 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = -9*p + 5*g - 115, -p - 6*g = -24*g + 473 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1256, -2455, -3586, -4649?\n\"Answer: 34*r**2 - 1301*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(320) - (sqrt(320) + (-3*(sqrt(320) + (sqrt(320) - (2 + sqrt(320)))) - sqrt(320))))**2*-4.\nAnswer: -6144*sqrt(5) + 82496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 44. Suppose 2*a - 4 + 2 = 0, -o*a + 9 = y. Suppose 1\/2*r**2 + 0*r - 1\/4*r**y + 0*r**3 - 1\/4 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89329*h - 178741*h + 89410*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -32. Let q = s + -12.7. Let l be 4\/10 + 13\/(-20). What is the closest to l in q, -4, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1409*j + 2315 - 771 - 776 - 768)*(6*j**2 - 6*j**2 + 2*j**3).\nAnswer: -2818*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/27 and -17\/21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29269, -29270, -29271, -29272, -29273?\n\"Answer: -b - 29268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8821, 70402, 237597, 563212, 1100053, 1900926, 3018637?\n\"Answer: 8801*u**3 + u**2 - 29*u + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*p + 100*p + 695. Let u = -151 - p. Which is greater: -71\/6 or u?\nAnswer: -71\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226888 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 233 * 0.05671.\nAnswer: 13.21343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1801*m**3 - m**2 + 102*m - 3 wrt m.\nAnswer: -10806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -66*v + 9 + 67. What is the fourth smallest value in 0.05, 4, 1\/8, 2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 19. Suppose m - 12 = -b. Suppose -j + f = -6, 2*j - 16 = -2*j - 4*f. Is j at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 483911760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2206210471\/13286 - 2158700\/13. Let x = j - 1\/146. Calculate the common denominator of x and 2\/12*(-354)\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 1, -3, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 34.31633.\nAnswer: 34.11633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.94 + 0.06. Let y = -331 + 330. Put y, -1\/4, v in ascending order.\nAnswer: y, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.3 - 6. What is the closest to -2\/5 in 0, n, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1428 + -1430. Suppose -6*h = -7*h + 18. Which is the biggest value? (a) 3\/2 (b) h (c) -3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)*g)\/(g*g\/(g*g**(-1\/5)*g)))\/(g**(2\/3))**(-35) assuming g is positive.\nAnswer: g**(287\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 6*a**2 + 2*a - 7. Determine o(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2262654 is divided by 56564?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - a**2 - a + 1. Let s(u) = -4*u**3 + 9*u**2 - 5. Let f(y) = -s(y) + 5*x(y). Is f(-14) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 - -159. Let t = -31 + a. Solve -t*g = -3*d - 21, -2*g = d - 5*g + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5968122874?\nAnswer: 2, 7, 60899213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 w when four letters picked without replacement from {s: 8, w: 3, m: 6, e: 2}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-79)\/316)\/((-2)\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -31. Suppose w*k - 175 = -k. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 32570*o**2 - 326320*o + 782880.\nAnswer: 5*(o - 6524)*(o - 2)*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 474802817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -3 + -9 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**3 + 4*f + 10*f + 10*f**2 - 15*f wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -1 (c) -2 (d) -3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-29 - -42) - 27?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26467 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: Let q(p) = 11*p**2. Let y(i) be the second derivative of i**4\/6 - 8*i. Give y(q(u)).\nAnswer: 242*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2136 - -2?\nAnswer: -2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -189957\nAnswer: -170961.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. Let o be 68*1\/(2\/d). Suppose -o = -l - 15. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119802 is divided by 832?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3 and -31\/9021963?\nAnswer: 9021963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20694 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25511742 by -6.\nAnswer: 4251957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 3\/8 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2+247.4\nAnswer: 245.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374076*k - 187102*k - 186975*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 314\/399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + 5\/(-15)*-27. What is the closest to -2 in -4, f, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7244443 rounded to 3 decimal places?\nAnswer: 0.724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 2*i + 1. Let n be x(1). Suppose -3*c + 12 = 5*p - 43, p - 4*c = -12. Let l = 4 - p. Sort l, -1, n in descending order.\nAnswer: n, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 28, 37, 48, 61, 76?\n\"Answer: u**2 + 4*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + 15 + 4 + -19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582656 (base 9) to base 4.\nAnswer: 1111120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-15)*(-6)\/4*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 0*p + 33*p = -50*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 10:21 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2. Let p(c) = 2*c**2 - 2*c - 140844. Calculate p(v(j)).\nAnswer: 18*j**4 - 6*j**2 - 140844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -22632?\nAnswer: -5\/7544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 3. Let c be m(18). Calculate the greatest common divisor of c and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/27 and -163\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 9\/4, -9844, 3\/2, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 819, 997, 1205, 1443, 1711, 2009, 2337?\nAnswer: 2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 2:25 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.1. Let w = -8.1 + 7. Let l = -1 - w. Which is the nearest to l? (a) 0.5 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/17 + 21674*a**2\/17 + 58709446*a\/17 - 58731122\/17.\nAnswer: 2*(a - 1)*(a + 5419)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 154 (c) 236 (d) 3\/2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 303.96 - 285. Let z = -18 + p. What is z rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5637, -11326, -17017, -22710, -28405, -34102, -39801?\n\"Answer: -z**2 - 5686*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 2*q**6\/15 - 7*q**3\/2 + 21*q. What is the second derivative of p(r) wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l = 18*l. Solve -4*w + w + 15 = l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -2) + (-35)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41213241 + -77189.\nAnswer: 41136052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 0*l**3 - 2*l**3 - 844297*l**2 + 844297*l**2.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 + 82 + -103.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 148\/(-8) + 1\/2. Calculate the smallest common multiple of 20 and ((-12)\/z)\/(2\/66).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(63))\/(sqrt(45)\/sqrt(20)) + (sqrt(567)*-2 + -4)**2*-1.\nAnswer: -2284 - 138*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37574350819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1331 - -1?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 32. Calculate the highest common divisor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-52)\/24)\/(-13) + (-7)\/(-12). What is the nearest to 2 in -1, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/120 + z**5\/30 - z**4\/6 - z**3\/3 - z**2. Let d be -9*((-8)\/(-6) + -1). What is v(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142.69 - 92.693. Let s = w - 50. Let y = 0.021 - s. What is y rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-205)\/(96350\/6956) - (-15 + (1 - 3)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 521*v**2 + v - 302 wrt v.\nAnswer: 1042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000 + -11121?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -6 (c) 5 (d) -47 (e) 6.82 (f) 0.1 (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h. Solve 5*t - 15 + h = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1))**1\/(a*a*a\/a**(-2\/7)*a*a*a\/((a*(a**0*a)\/a)\/a)) assuming a is positive.\nAnswer: a**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 915?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 40*d - 3090. Let y be k(0). What is y rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**6 - n**4 - 30*n**3 - 182*n**2 + n + 3. Let o(d) = d**4 + d**3 - d**2 - d - 1. Let l(r) = i(r) + o(r). Find the third derivative of l(h) wrt h.\nAnswer: -480*h**3 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-2 - -23 - -1 - 34)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) 3\/8 (c) 305 (d) 0 (e) -47 (f) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003606003 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.2 - -3.1. Let c = -4.6 + 5. What is the third smallest value in 4, c, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbvbbv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 10*n**2 - 35*n + 15. Suppose 15*m = 4*m + 154. What is the tens digit of j(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) -0.04 (c) 2\/5 (d) -0.5 (e) 157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-188)\/(-141) + ((-25)\/5)\/5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-20))\/(9\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -495, -1074, -2209, -4086, -6891, -10810, -16029?\nAnswer: -22734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3132609 or -1?\nAnswer: -3132609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*(0 - (-65)\/(-3)). Let u = v + 373. What are the prime factors of u?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -23 + 4 - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 13. Suppose -5*m = -2*f + 102 - 22, -f = -2*m - 32. Let h = 9 + m. Is 3 a factor of b(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.065 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-12)\/9)\/(14\/21). Let w be (2 - (h + 2))*(-16 + 17). Solve 5*q + w = 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z - 19. Let t(n) = 4*n + 9. Suppose 1 = -6*a - 11. Let c(d) = a*o(d) - 5*t(d). Let r(y) = 3 - 3 - y - 3 - 7 + 6. Calculate -3*c(u) + 5*r(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.359 to 1 decimal place.\nAnswer: 20.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18469445 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by 9\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1054 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 10 - (-1)\/(1\/4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 164 - 3*s + 0*s + 31.\nAnswer: -3*s + 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5674)\/(-4650) - -1)\/(36\/(-45)). Let y = t + -9\/155. Calculate the common denominator of 8\/7 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 203*m + 42. Let o(f) = 24*f + 5. Let s(h) = 5*j(h) - 42*o(h). Let x(t) = 3*t. Determine s(x(g)).\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/6 + 9176*c**2\/3 + 55082*c\/3 - 146864\/3 = 0. What is c?\nAnswer: -8, 2, 18358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91348)\/8355*((-18)\/6)\/(-1))\/((-2)\/(-5)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2260094, 2260142, 2260244, 2260418, 2260682?\nAnswer: 2261054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 17. Let f = 3.9 - d. What is the third biggest value in 0.07, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5112 and 11884264.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/((-209)\/165)*(-2)\/10. Let u = 6 + -2. Suppose -u*v = -x*v. Solve 20 = -5*s - v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26449 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o + 3*o - 4*o)*(3 + 1 - 2)*(-5243 + 6746 + 8790)*(0 + 0 + 2*o).\nAnswer: 164688*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1935.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 10, -2*p = 5*q - 4 - 52. Suppose -2*u + q = -2*d, u - 2 + 0 = 3*d. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1011371785 + -5?\nAnswer: -1011371801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**4\/4 + 5*w + 368. Let g(q) = -q**3 + 2. Determine 5*g(u) - 2*i(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7333 + -7337.9179. Let n = p + -0.0821. Let v = -0.67 - 0.03. What is the second biggest value in n, v, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 4*r - r)*(49*r**2 + 54*r**2 + 228*r - 237*r - 1).\nAnswer: -515*r**3 + 45*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-272)\/102*(0 - (-1)\/2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 9:22 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 5 (b) 2 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - l = 29, 2*l - 77 = -4*n + 9*n. Let w be ((-15)\/(-4))\/(3\/64). Let u = w + n. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 m when three letters picked without replacement from mdmtdmdm.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5a - -10?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9939*g + 4070*g + 1199*g.\nAnswer: 15208*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 10*d**2 + 4*d**3 + 1 + 16 + 3*d**3 + 28*d - 6*d**3. Let i be x(-5). Solve -5*h + i*a = -3 - 7, -4*h + 3*a = -15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/1)\/(-3*45\/81)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)\/sqrt(5))**2 - sqrt(5)) + sqrt(405) + 1 + sqrt(405).\nAnswer: 17*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66819578 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8785944 divided by 9?\nAnswer: -976216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11*(10982\/28611 - (-2)\/(-18)). Determine b so that 0 - 1\/3*b**4 + 2\/3*b**z - 1\/3*b**2 + 0*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -23*i + 113. Let t be a(4). Which is smaller: 39\/2 or t?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*y + 254*y + 5*s - 3 = 0, 2*s + 6 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -46*o**2 - 19*o - 7682. Let h(l) = -3*l**2 - 2*l + 2. Let g(p) = -b(p) + 4*h(p). Differentiate g(y) with respect to y.\nAnswer: 68*y + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-6)\/s))\/s*s*s**4)\/((s**(-1)\/s)\/s)**(-3))\/(s**(-5)*s**(-1)*s*(s*s**(-5\/4)\/s)\/s*s*s\/(s**(-1)\/s)) assuming s is positive.\nAnswer: s**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*8\/26)\/((-1860)\/(-4030)))\/(6\/(-222))\nAnswer: 74\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8*(38 + 6312\/(-192))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -326*w**3\/3 + 381*w**2 - 460. Find the second derivative of v(t) wrt t.\nAnswer: -652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 y, and 1 q when four letters picked without replacement from yjjqbdqdqqjjbjjb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39163442 != 39163441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1.19, 0.1272, 10.6?\nAnswer: -1.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.069 * 137350\nAnswer: 9477.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(512) + (sqrt(512)*-3 - sqrt(512))*-4 + (sqrt(288) - (sqrt(288) - 2*sqrt(288))*4)\/sqrt(9) + 3)**2.\nAnswer: 4672*sqrt(2) + 170592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g + 5*g - 5*g)*(0 - 3 + 1) + 1281 + 177*g - 1281)*(-2*g + 2*g - 2*g).\nAnswer: -350*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8624 = 781*d - 242*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 3*v + 16, 2*i - 394 = -v - 396 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28462.862 rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06358401 to 5 dps.\nAnswer: 0.06358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + b + 5. Let o be p(0). Suppose -4*y - 308 = -c + 5*c, -o*c = y + 397. Let m = c + 83. Sort m, -4, 1, 0 in descending order.\nAnswer: m, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1725786638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 11, l: 9}. What is prob of sequence llcl?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/8))\/((p*p**(-15))\/p)*p**14\/(p\/((p*p**(-7)*p*p)\/p)) assuming p is positive.\nAnswer: p**(191\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12984, 13023, 13070, 13125, 13188?\nAnswer: 13259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17122417 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o**3 + 283*o + 14. Let n(c) = 11*c**3 + 285*c + 21. Determine -2*n(k) + 3*p(k).\nAnswer: 11*k**3 + 279*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 8 + 3292*v**3 - 3297*v**3 + 120*v**2 as z*v + t*v**2 + d*v**3 + y and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a + 1 = 2*m, -2*a = -2*m + 2. Let n be ((-9)\/33)\/((-58)\/1184). Let z = -62\/11 + n. Are z and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-10 - (0 - -1)) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264043 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - (-1 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/119, 1\/8 in increasing order.\nAnswer: 2\/119, 1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 14. Let o = -1 + -3. Which is the nearest to 2\/5? (a) 1 (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 - 9.3. Let t = 12 + i. Let y = -1.97 + 2.37. What is the biggest value in -2, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:13 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -48*j - 135\/2*j**4 - 15*j**5 - 108*j**2 - 19 - 121*j**3. Factor a(c).\nAnswer: -3*(c + 1)**2*(5*c + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1167, 1722, 2643, 3930, 5583, 7602, 9987?\nAnswer: 12738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4376884 < 4376884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 181 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38677.8 - 0.2.\nAnswer: -38678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 547 in decreasing order.\nAnswer: 547, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.2146967 days?\nAnswer: 309.163248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 492590 to the power of 1\/2, to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76762 divided by 1938.\nAnswer: -38381\/969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8976 + -2781. Is 6195 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2.4, 3, 170\/9, -13 in increasing order.\nAnswer: -13, -2.4, 2, 3, 4, 170\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 998962 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.76597 - -2182?\nAnswer: 2192.76597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 + 13*k**2 - k - 1. Let w be o(-6). Suppose 15 = -3*d - 0*d, 4*d = -x + w. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -134.5 - -129. Let w = 0.5 + u. Which is the second smallest value? (a) 0.29 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-90 + 96)\/((-4)\/(-3258))?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-15))\/(6 - (-244)\/(-40)). Let s(m) = -m + 3. Let t be s(3). Let g = 122.6 - 123. Put g, t, v in ascending order.\nAnswer: g, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 8:39 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -181\/4 in -3\/4, 0.4, -2\/235?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82014726 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -3\/2, -2\/11, 5, -2\/7, 143?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a - -217164?\nAnswer: 217192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**5\/20 + y**4\/12 - y**3\/6 + 2*y**2 + 9*y. Give m(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12511 take away -13?\nAnswer: -12498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/4 and 29028 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**5\/150 - z**4\/10 - 2*z**3\/5 + 2*z - 45. Solve k(o) = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 + 31 = 0. Let n = f + 12. Let x(b) = 2*b**3 + 2*b**3 + 4*b**2 - 7*b - 3*b**n - 7. Calculate x(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-40)*((-12)\/7)\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 326175 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3*(-4 + 4*sqrt(51)\/sqrt(3)) - (sqrt(833) + 2 + 1 + sqrt(833) + 6*(sqrt(833) - (sqrt(833) - 1*sqrt(833)) - sqrt(833)))))**2*3.\nAnswer: 228*sqrt(17) + 1287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 1. Let f(q) = q**2 - q - 1. Let a = 122 + -121. What is a*i(p) + f(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -27282.953 to the nearest 100.\nAnswer: -27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47882984 and 243198.\nAnswer: 430946856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54634988 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2530*m + 21 = -2527*m. Which is smaller: 48\/7 or m?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from yuyuuukuykuuukkk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18 + 313.\nAnswer: 312.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86*1728.47.\nAnswer: 148648.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 8*o - 16 = 0. Let i be 4\/(-10) - (-44)\/10. Suppose i*z = 4 - o. Which is bigger: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/6)\/(-16 + 190\/12). Suppose 0 = 3*j, 0 = -4*n - 2*j + 674 + 682. Is c\/(-30)*(n + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 9:00 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -115a6 + 14?\nAnswer: -11592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6636234 by 2212078.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*d + 4*d**4 - 5*d**4 - 80*d**2 - 61*d + 38*d + 19*d**3 + 10*d.\nAnswer: -d*(d - 10)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1166 (b) -9 (c) 0.1 (d) -0.3 (e) 1\/48 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -68ac1 (base 14) in base 10?\nAnswer: -254577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 0.2, 16, -105, -1.7, 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 5*r - 29. Suppose -12*b + 30*b = 6*b - 60. What is k(b)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1516 >= -1516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -307 + 0*d**4 - 8*d**4 + 137 + 163 + 79 - 4*d**3 in the form m*d**2 + l + z*d**4 + k*d + j*d**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*10\/16*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*r**2 - 1090 - 39*r**2 + 15 + 2*r to the form l + b*r + f*r**2 and give l.\nAnswer: -1075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.7 - -2.04079.\nAnswer: 17.74079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p - 4*f + 3119, -p + 3*f + 639 = 0. Suppose 4*b - p = -5*k, 2*k - 2*b - 84 = 174. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 12:10 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/147 and 61\/25.\nAnswer: 3675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 84?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wajsswssaasswwsjs. Give prob of sequence aswa.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 342 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q + 9. What are the prime factors of q + (-1 - (-17 - -1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 92*p + 1018. Let z be s(-11). Let h(v) be the first derivative of 1\/42*v**z + 0*v**3 + 8 - 1\/35*v**5 + 0*v**4 + 0*v + 0*v**2. Factor h(f).\nAnswer: f**4*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 14*i - 36. Determine m(-14).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 10*a + 6*a)*(4*a - 3*a - 4*a + (0 - 2 - 2)*(-3*a + 3 - 3))*(-3 + a + 3).\nAnswer: -45*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 2*y + 4*a, -5*a - 12 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 3. Let l be i(0). Let g be 65\/(-30) - (-2)\/l. Let r = -11 - -7. Which is the biggest value? (a) 3 (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4009 and 47\/6.\nAnswer: 24054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -695071*-94\nAnswer: 65336674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11.5, 76491, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78013, -155885, -233731, -311539, -389297, -466993, -544615, -622151?\nAnswer: -699589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 0*s**2 + 2\/3*s**6 + 0*s**4 + 0*s - 2 + 0*s**5 + 4\/3*s**3. What is the third derivative of b(w) wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 66284*v + 8078928.\nAnswer: -4*(v - 16692)*(v + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0*k - 5*k)*(-3*k + k + k)*(5 + 0 - 2)*(-10 + 0 + 9)*(0*k + 2*k + 2*k).\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 - (-104 + 113)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14123 + -121520?\nAnswer: -103353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/476*((-4)\/14)\/(156\/273).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - v**2 - v + 19. What is the tens digit of y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.127177km to centimeters.\nAnswer: 712717.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/10)\/(4\/10). What is the derivative of -4*d**v + 0 + 4 + 7*d**4 - 5 wrt d?\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1045, -1043, -1041, -1039, -1037?\n\"Answer: 2*f - 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11*a**3 - 5*a**2 - 4*a - 5. Does 15 divide w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p + 2*p + p + (2 - 1 + 0)*(0 + 0 - p) - 2*p - 2*p + 2*p + 0*p + 1 - p + 1 to the form g + y*p and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 13 = -5*a + 61, 2*v = 3*a - 20 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15*45\/(-42)*7. What is the nearest to l in 2\/19, -9, -16?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1085 * -0.84644\nAnswer: -918.3874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-9) + (-1)\/(-27)*87. Let v be 80\/(-6) + (-4)\/(-12). Let n be v*(-1)\/s*-3. Put n, 1, -5 in ascending order.\nAnswer: n, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00058325 to five dps.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -373*g - 2475. List the prime factors of x(-39).\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a80 + -7a?\nAnswer: 15a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 308\/23 and 14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*o**3*r + o**3 - 83895*o**2*r - 2*o*r + 6*o - 53*r + 171 wrt o.\nAnswer: 168*o*r + 6*o - 167790*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -3 + (16 - 7) + -2 + 49?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 21*j**2 - 141*j + 1960. Let f be r(19). Factor 108\/7 + 0*q**2 - 2\/7*q**f + 54\/7*q.\nAnswer: -2*(q - 6)*(q + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 896000 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2 + 6*s - 3. Let y(w) = -21*w**2 + 31*w - 15. Give -11*g(l) + 2*y(l).\nAnswer: 2*l**2 - 4*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 + 2*q**3 - 4*q**2 - 2*q + 3.\nAnswer: (q - 1)**2*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + -62.0084. Round b to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/32, -6, 1\/10, -0.3, 30, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/372735 and 173\/82830.\nAnswer: 745470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1336, -297, 1432, 3851, 6960, 10759?\n\"Answer: 345*f**2 + 4*f - 1685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.707 to 1 dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63427092 and 456?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((26460\/(-224))\/(-105))\/((-13)\/208)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*o - 2*q + 26 = -36*o, -3*o + 3*q + 3 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -c5?\nAnswer: c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*r - 108*r = 112. Let p be ((-10)\/(-4))\/((-78)\/12 + r). Sort 4, p, 10.\nAnswer: 4, p, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 4*u - 2. Suppose 5*p + 4 = 3*g, -3*g + 4*p + 0*p + 5 = 0. Determine i(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -11*x - 28. Let u be (11\/(-6) - (-14)\/(-84))*-5. Let i be ((-21)\/(-28))\/((-1)\/(-4)) - u. What is the tens digit of a(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*c**2 + 1 + 2 + 0*c - 4*c**4 + 29*c**2 + 3*c**3 - 4*c to the form m*c**4 + p*c**3 + u + q*c + y*c**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8*s**2 + 9*s + 5. Let r(g) = -16*g**2 + 17*g + 9. Let l = 8 - 11. Let p(i) = l*r(i) + 5*c(i). Factor p(o).\nAnswer: 2*(o - 1)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 - (4 - -1)) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2114*o**2 + 162*o - 1107. Is u(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-28))\/(2*((-348)\/240)\/29)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.01 (b) -1\/27 (c) 0.3 (d) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 2*s - 3*s - 13, 0 = -5*j - s - 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2066550.\nAnswer: 2, 3, 5, 23, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**2\/13 + 1050870*z\/13 - 2101748\/13 = 0.\nAnswer: -525437, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*w + 8. What is the remainder when 22 is divided by (6\/15)\/(w\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -11. Let c = -44 + 48. Let p(b) = -36 - 8*b + 31 + c*b - 4*b**2 + b**3 - b. Determine p(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18384 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 0.15 (b) 2 (c) 7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6782085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/7 + (-22)\/42. Let h = 0.07 - 0.47. Which is the biggest value? (a) w (b) h (c) -3\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101 + 100011101001?\nAnswer: 100100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 - -10331413?\nAnswer: 10332002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -784*v. Let y(r) = 238*r**2 + 2*r. What is y(s(p))?\nAnswer: 146288128*p**2 - 1568*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 10. Let o(r) = 6*r + 61. Suppose 0 = 3*g - 5*y - 43, 5*g - 423*y = -426*y + 15. Calculate g*o(t) + 34*f(t).\nAnswer: 2*t + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/6*6\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -7.9, 4, 5\/3, -2\/5?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2209 + -2207. Let h(n) = n**2 - 17*n + 34. Let r be h(15). Solve -r*l = -j - 1, -3*j + j - k = -3*l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {v: 1, f: 3, s: 2, t: 6, q: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*n + 6. Let d(z) = z**3 - 6*z**2 - z + 8. Let p be d(n). Let u(l) = -1 + 1 - l**p. Let o(x) = 2*x**2. What is o(u(m))?\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*sqrt(144)\/(-1*sqrt(8)))\/(sqrt(81)*-1 + sqrt(9) - sqrt(63)\/(sqrt(7) + sqrt(7) + sqrt(63))) + -1).\nAnswer: 30*sqrt(2)\/11 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 95, 76, 59, 50, 55, 80, 131?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5867.25 - -5885.84842. Let s = y + -18.6. Round s to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12419, -49831, -112195, -199517, -311803?\nAnswer: -449059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 6. Suppose -l = -4*l + z. Let j be (1 + -1)*(175\/(-10) + 18). Solve j*r = 3*r + l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 + 3*f**2 - 3*f**3 + (-2 + 3*f + 2)*(2*f**2 - 4*f**2 + 0*f**2) in the form j*f**3 + t + l*f**2 + c*f and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 43*d + 15. Let f(j) = -44*j - 15. Let b(m) = -2*f(m) - 3*k(m). Let a be b(-13). Suppose a*x - 8*x = 0. Which is bigger: -1\/11 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 44.1. Let w = 4.1 - -0.9. What is the nearest to m in w, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 190 + -157. Suppose -29 = -6*i + 43. What is the remainder when y is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 26*b**2 - 131*b - 171. Let x be a(-32). Calculate the highest common divisor of 38 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13354953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 81. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-18)\/(-135)*155\/8742*-3.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/4))**(-38)\/(j\/(j*j**0))**(19\/5) assuming j is positive.\nAnswer: j**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0, 0.01795, -1\/106, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (4\/2 - 0). Let m be (0 + g)*-4 - 0. Does 5 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10124454 and 444055?\nAnswer: 50622270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4001022 + -4?\nAnswer: -4001030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*v = -8*f - 36, 2*f + 12 = -v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1128212\/129 + 8746. Let i = -5263654423\/258 + 20401800. Let t = i - m. What is the common denominator of t and 43\/13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932522751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + -9 - (2 - 0). Let d be 3\/(-2) + (-2)\/o. What is the units digit of 4*6*d\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/4 - 17627951*r\/2 - 310744656458401\/4 = 0.\nAnswer: -17627951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m - 25*m + 11*m)*(-3*m + 2*m + 0*m) + 3*m**2 - 5*m**2 - 9*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 942, 940, 946, 966, 1006?\nAnswer: 1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 x when three letters picked without replacement from {t: 12, x: 7}?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29178971 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l. Let y(i) = -101*i**2. Determine d(y(z)).\nAnswer: -404*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 1, q: 2, r: 2}. Give prob of picking 1 t and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -635, -627, -615, -599?\n\"Answer: 2*t**2 + 2*t - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 j when three letters picked without replacement from {g: 1, p: 2, b: 2, j: 8, k: 4, w: 3}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 3 + -7 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 + 2508\/(-108). Let c = d + 28. Let w(b) = b + 5. Determine w(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7931689 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/68 - 539\/476. Put 0.37, h, -3, 6\/5 in decreasing order.\nAnswer: 6\/5, 0.37, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkaaakkkkaakkk. What is prob of sequence aaa?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j = 10. Let x = -24096 - -24095.83. What is the closest to -2 in j, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4561151l to millilitres.\nAnswer: 456.1151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -4. Let q = 0.01252 + -4.71252. Let d = q + t. Put d, -4, 0.6, -3 in descending order.\nAnswer: 0.6, d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -80, -187, -338, -533?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0493 and 212?\nAnswer: 212.0493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -0.0004?\nAnswer: -0.3996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let k(x) = -x + 1. Let h(y) = -5*y - 7. Let p(v) = v**2 - 7*v - 32. Let u be p(10). Let g be h(u). Determine g*m(f) - k(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -295813, -295896, -295979?\n\"Answer: -83*d - 295730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 10. Let b be p(-7). Let g be (-6)\/b + -6*1. Let r(h) be the first derivative of -h**4\/4 - 4*h**3\/3 + h**2\/2 + 3*h - 1741. What is r(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 2*q + 2 - 3962*q**2 + 2*q**4 + 0 + 3944*q**2 to the form y + x*q**3 + m*q + p*q**4 + g*q**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*z + 2*z + 16 = 0, t - 3*z = -10. Suppose 38*h = 26*h + 648. What is the highest common factor of h and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 442243 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 9*a**2 + 12*a - 14. Let s be b(-7). Solve s = 2*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, g: 1, m: 2, h: 1, o: 1, z: 1}. Give prob of picking 2 h, 1 m, and 1 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9779 is divided by 144?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59099.588 rounded to the nearest one hundred?\nAnswer: 59100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110111110111001?\nAnswer: -110111110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 197\/11 - (-1)\/(-33)*-3. Suppose -y*a + 14*a = -1092. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 11 + 11)*(-3*s - 3*s - 2*s).\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 55502 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 2:03 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4982 divide 2544307400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + s**2 - s**2 + 1509 - 1509 + 62*s**2 + (-2*s - s + s)*(-4*s + 0*s + 3*s).\nAnswer: 66*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 2*g. Let i be b(4). Solve m - 3*m - i = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4, 434, -0.4, 0.02, -1.\nAnswer: -1, -0.4, 0.02, 7\/4, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:16 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 6:15 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(5\/160). Suppose u - k = -3*u. Factor -4*l**3 + 3*l**u + 24*l**2 - 3*l - 5*l**3 - 15*l**2.\nAnswer: 3*l*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 0) + -4 + -30 + -9.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 39*c**5\/10 + c**4\/2 + 907*c**3\/2 + 2267*c. Find the second derivative of v(m) wrt m.\nAnswer: 468*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 3*z - 2*p + 2 = 0, 4*z - 4 = -4*p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:42 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/12, 0.038, 5, -5, 158?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -23, -101 in descending order.\nAnswer: -9, -23, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 102*g = 101*g + 68, -110 = -5*m - 2*g. Suppose 0 = 4*t + 4 + 12, 308 = 2*p + t. Calculate the least common multiple of p and m.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310551647.\nAnswer: 7, 523, 84827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/6)*a*a**(2\/3)*a)\/(a**(-7)*a*a\/(a*a\/(a*a**(-4\/9)*a))) assuming a is positive.\nAnswer: a**(149\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*c + 197*c + 52 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1271 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1325978 is divided by 1325959?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 2*i - 3 + 5 - 3. Let q be b(-3). Let r(u) = 2*u**2 + 5*u - 2. What is the remainder when 17 is divided by r(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 0 - 6*n + 251\/2*n**2 - 1\/6*n**3. Is m(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108825.1 rounded to the nearest 1000?\nAnswer: -1109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 1218 = 12*z + 6*z. Solve -z = -m + a - 179, -5*m + a - 17 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*(60\/(-225))\/((-2)\/(-1)). Which is the closest to l? (a) 0.4 (b) 0.11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 34*n + 94. Let o(u) = 7*u + 22. Determine 6*b(c) - 28*o(c).\nAnswer: 8*c - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 27. Solve -11 - h = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -85.7?\nAnswer: -8.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (4 - (-1)\/(-1)). Let v(u) = u**3 - u. Let p be v(0). Suppose -2*n = 2*i - 28, p = -y*i + 5*n - 6 + 56. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 44*i**2 + 88.\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56\/668889 or 0?\nAnswer: 56\/668889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 341, -2 in descending order.\nAnswer: 341, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*p**2 + 4990*a*p + 4*a - 3878*p**2 - 2*p wrt p.\nAnswer: 2*a - 7756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*j**2 + 232*j**2 - 277*j**3 + 14 + 230*j**2.\nAnswer: -277*j**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 34*p**3 - 5*p**2 + 13*p + 19. Determine d(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -156392 + 248899. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 43 = 3*s - 7*s, -8436*j + 5*s - 55 = -8440*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 62047, 62062, 62069, 62062, 62035, 61982?\n\"Answer: -h**3 + 2*h**2 + 16*h + 62030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5548 + -5552. What is the second biggest value in -3\/8, 0.014, j, 3\/4?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277216 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51.6 - 53. Let m = 0.9 + n. Put 0.8, -2\/13, m in increasing order.\nAnswer: m, -2\/13, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 6*u**3 + 4*u**3 + u**3 + u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 2, 0.29, 4?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -3*a**3 - 7*a**3 + 19 + 3*a**3 + a**3 + 4*a. What is the first derivative of v(x) wrt x?\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -48*3*(-3)\/4. Suppose -5*z + 4*b - 2*b + v = 0, -3*z - 4*b = -44. Suppose -3*d + 15 = 0, s = -0*s - 3*d + z. Which is greater: s or 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674.1246 micrometers to meters.\nAnswer: 0.0006741246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 28, -1838\/29, 4, 3?\nAnswer: -1838\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 - 2 = 0. Let w(v) = 1. Let p(j) = j + 3. What is g*p(h) - 3*w(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4605*b*l**3*x - 13*b*l*x - 3*l**2*x - 27*l**2 wrt l.\nAnswer: -27630*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1590 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a. Let k(z) be the third derivative of z**7\/5040 + z**5\/60 + 4*z**2. Let j(x) be the third derivative of k(x). Give o(j(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sslllsssslsslsssss. What is prob of sequence llsl?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 5*q + 7*q, -3*i + 3*q = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 23*c**2 - 5*c - 2. Let a be d(4). Let z = 84 - a. Calculate the remainder when 85 is divided by 5\/30 + z\/(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -26. What is the nearest to -2\/5 in g, 0, -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98*42*40\/23520?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*l - u - 15, 35 = -3*l + 4*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(4\/13))\/q*q**(-24)\/q*q**(-2)\/q**(-10) assuming q is positive.\nAnswer: q**(-217\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2.14952*0.022\nAnswer: 0.04728944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 + 93 = 44*s - 617. What is the smallest common multiple of 780 and s?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a70197 - 19?\nAnswer: -1a70205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1150356 + 206?\nAnswer: 1150565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/(-12) + 412\/6 is divided by 3*(25\/3 + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -9, -12?\n\"Answer: -3*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 14 - (9 + -1)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggngcgsggggqgg. Give prob of picking 1 q and 1 c.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1 - (3 - -3). Let q(g) = g**2 - 2*g - 6. Let z(a) = a**2 + 2*a. What is the remainder when q(u) is divided by z(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 429209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - 4*v**5 + 2*v**5 + 2*v**4 + (2*v**3 + 3*v - 3*v)*(23 + 54 + 52)*(2*v**2 + 2*v**2 - 2*v**2).\nAnswer: 514*v**5 + v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12859845 divided by -1223?\nAnswer: -10515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 68*k**2 - 536*k + 18. Give j(-7).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -14. What is the greatest common divisor of s and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - -a5fd?\nAnswer: a5f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**6\/30 + 13*h**5\/5 - 44*h**4 + 992*h**3\/3 - 535*h**2. Solve a(x) = 0 for x.\nAnswer: 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 + -3 + -3 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3) + (sqrt(3) - -1*sqrt(3)) - sqrt(3)) + sqrt(9)\/sqrt(3)*-3 + ((sqrt(6)*1)\/sqrt(2) - (sqrt(3) + 1)*3))**2.\nAnswer: 18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2)*m)\/(m\/(m\/m**0))*m\/m**(-1\/7)*m**(4\/3)*(m**5\/(m**(-2)\/m*m))\/(m\/((m\/(m*m*m*m**7))\/m)*(m\/m**(-1))\/m) assuming m is positive.\nAnswer: m**(31\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/7 + 1996*a**2\/7 - 568*a.\nAnswer: -4*a*(a - 497)*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 7*t**2 + 7*t - 1. Let v be s(6). Let r(i) = 2*i - 2. Suppose 2*x - 7*x = -15. Calculate the remainder when r(v) is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, t: 3, n: 5, v: 1}. Give prob of picking 1 v and 2 o.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 47 - (-64 - -75 - (-5 - (1 + -21)))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5)*2 + -2)**2 - (sqrt(5) + 3 + sqrt(10)\/sqrt(2))) + 1.\nAnswer: -10*sqrt(5) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 2*p**2 + 3*p + 1. Let t be y(2). Let u(s) = -t - 4*s + 0 + 3. Let a(k) = k**2 + 3*k + 3. Calculate -4*a(w) - 3*u(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75596817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + o = -9, 4*t + 3*o - 49 = 15. Suppose -t = -2*q - 1. What is the highest common factor of q and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 + 2*b**3 - 2*b**3)*(-553 - 2029 + 262).\nAnswer: 11600*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*r - 2970 = -510. Let j be 2\/(-7) - 1054\/(-14). Calculate the greatest common divisor of j and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 + -275.84100078.\nAnswer: -253.84100078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-231)\/(-12)))\/(-2*8\/(-56))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3460, 8.\nAnswer: 5, 8, 3460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*f - 5, -4*d = -3*d + 3*f + 11. Sort 38, -4, -2, d in descending order.\nAnswer: 38, -2, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 171 - 297. Let x = -1769\/14 - u. What is the common denominator of ((-105)\/2)\/((-55)\/5) and x?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4215\/44 + 1051\/11. Sort -5, 0.03, 157, n.\nAnswer: -5, n, 0.03, 157","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 1)\/(4\/(-8)). Suppose 6*z - 3*z = 15. Solve z*l - j = l - 10, 0 = -l + j - c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -50, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.54 - 0.64. Suppose 17*d - 1482 = -21*d. What is the biggest value in y, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 106485.\nAnswer: 958365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d\/(d\/d**(-4)*d*d)*d))))\/d)**(2\/51) assuming d is positive.\nAnswer: d**(10\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.371 + -0.346. Which is smaller: 7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 350. Suppose -m = -5 - 89. Let l = -67 + m. Calculate the highest common divisor of u and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33242800 rounded to the nearest one hundred thousand?\nAnswer: 33200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 358\/1939 + 28\/277. What is the fourth smallest value in 3, -8, 6, k, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5 + 82*y**4 - 987*y**3 + 2402*y**2 - 1496*y = 0. Calculate y.\nAnswer: 0, 1, 2, 11, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1757 - 179 = -2*w. Let i = w + 1292. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003463 rounded to 6 dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -70*k**3 + 65*k**4 - 585*k - 811*k**5 - 135 + 287*k**5 - 570*k**2 + 539*k**5 = 0.\nAnswer: -3, -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28784, 29707, 30630, 31553, 32476?\nAnswer: 33399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25611 + 113*b**3 + 12808 + 12803.\nAnswer: 113*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68059522*i**3 + 70313025 wrt i.\nAnswer: -204178566*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5861641.\nAnswer: 53, 110597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0469713 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllll. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1367812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-12) + 4)*(-1 - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 44 = -4*w, -2*m - 7 = -w - 36. Let s(g) = 4*g - 2. Let j be s(7). Let r = -10 + j. What is the least common multiple of r and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 10:48 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(175) + (sqrt(175) - (sqrt(175) + sqrt(175) + sqrt(175) + -1 + sqrt(175))**2*-2) - 1*(sqrt(175) - (sqrt(175) + -4)**2)).\nAnswer: -11586 + 230*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 22*n - 24.\nAnswer: 2*(n - 12)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -12555257468819.\nAnswer: -12555257468819.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6092*o + 363*o + 2974*o as y*o + v and give y.\nAnswer: 9429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -5. Suppose 2*a = -0 + m. Suppose 3*p = 2*g - a*g + 2, -4*p = 0. Solve 2*y + g*o = 0, -y - 20 = o + 4*o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.2 + -6.4. Let y(m) = 5*m + 190. Let t be y(-37). What is the third smallest value in t, k, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.792438 rounded to three dps?\nAnswer: 0.792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(22)\/sqrt(2) - sqrt(11)) + sqrt(11) + -5 + sqrt(44) + 0 - (sqrt(22)\/(sqrt(8)\/sqrt(4)) + sqrt(11) - (sqrt(11) - (2*sqrt(33))\/sqrt(3))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74 or 70?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Let v be b\/10 - (-39)\/15. Suppose v*k - 14 - 10 = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - a + a)*(-3*a**2 + 4*a - 4*a) + 65*a**3 + 3*a**3 - 32*a**3 + 2*a**3 + 0*a**2 + 0*a**2 to the form h*a**2 + d*a**3 + k + l*a and give d.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 441.\nAnswer: 4.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919655.\nAnswer: 5, 11, 23, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -w - 34*w. Suppose 0 = -5*x + 5*p + 615, -4*x + 2*p + 486 = -0*p. Let t(i) = 4*i**2 - 121*i**w - 2*i**2 - i + x*i**3. What is t(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(sqrt(432) + -1) + -3*-1*(sqrt(75)*1 + sqrt(75)))**2.\nAnswer: -540*sqrt(3) + 24309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 - -84.17. Let v = 1.17 - p. Sort -5, v, -18 in decreasing order.\nAnswer: v, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 1515 - 722*f**3 + 1452*f**3 - 728*f**3 - 259 in the form u + j*f**3 + p*f**2 + s*f and give u.\nAnswer: 1256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11*1 + (-30 + -75)\/(-15). Let -z*d + 6 + 15\/2*d**3 + 9\/2*d**2 = 0. Calculate d.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30447, 121780, 274001, 487110, 761107, 1095992, 1491765?\nAnswer: 1948426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011107348 rounded to 7 dps?\nAnswer: 0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 + 4)*23\/(-5) and 16\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyyvyzcvcy. What is prob of sequence vz?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (75 - 2) + -9 + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20297.1 rounded to the nearest 100?\nAnswer: -20300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45608058 is divided by 1627?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 174466.11 months?\nAnswer: 1453.88425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/66)\/((-344)\/(-30186)*-9)?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 100. Let y = 7 + -3. Suppose -2*n = -y*n + 94. Calculate the remainder when n is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/250137 and -4\/583653.\nAnswer: 1750959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 123169013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9085 (base 11) to base 8\nAnswer: 27450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100010000011010001 - 1011?\nAnswer: 10010100010000011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359 = 24*o - 165*o - 1333 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13313330231 + -13?\nAnswer: -13313330310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - 87. Let q = c + 303. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17046450 and 450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/30)\/(-1 + (-32)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 7:44 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 596.126 - 70.816. Let n = -538 + h. Let c = -0.49 - n. What is c rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 152*g - 2586. Calculate c(136).\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36*(8\/4)\/4. Calculate the greatest common factor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2. Let p(m) = 2*m**2 + 10*m - 5. Let g(r) = -2*r**2 - 12*r + 6. Let z(x) = 5*g(x) + 6*p(x). Calculate n(z(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l. Let g(w) = 4*w + 813. Calculate g(b(y)).\nAnswer: 4*y + 813","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-133)\/9 - (-4)\/(-18). Let t be (m\/(-6))\/(5\/10). Suppose 0 = 5*u - t*j - 275, 2*u + j = 4*j + 115. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 - -11101011?\nAnswer: 11000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8555 or -8558?\nAnswer: -8555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16710?\nAnswer: 2, 3, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -67. Let w = -22 - t. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:47 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6346009.\nAnswer: 6346009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2975, -5949, -8923, -11897, -14871, -17845?\n\"Answer: -2974*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-3))**(-45)\/(((p\/(p\/p**7))\/p)\/p**6))**0)**(-39\/4) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 5. Let h = -61 - -61.1. Which is the second smallest value? (a) z (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2510456 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*i + 30*i + 12*i - 3*i + 3*i - 2*i + (6 - 3 - 1)*(-2 + 2 + 2*i) + 2*i + 4 - 4 + (0 + 2 + 0)*(3*i - 2*i - 3*i) + (-1 + 5 + 8)*(3*i - i - i).\nAnswer: 46*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 + u**3 - 216*u**2 + 216*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -865*s**4 + 30*s**3 - 85640*s**2.\nAnswer: -20760*s + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 1:01 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4203 (base 6) to base 15.\nAnswer: -429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a**3 - 3*a - 7*a**3 + 3*a**2 + 5 + a**3. Let n be v(-4). Solve n = 4*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}