diff --git "a/data/dm_maths/full_data/1884_11255.jsonl" "b/data/dm_maths/full_data/1884_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1884_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 319997.1 litres in millilitres?\nAnswer: 319997100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 - 13*m**2 + 8*m - 14. Calculate p(6).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/127 (b) -3.4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-1*(-12)\/(-24) + 1*4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + z)*(8 + 5 - 6)*(-z + z - 4*z**2).\nAnswer: 56*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unb when three letters picked without replacement from jugjnuuukggkbjj?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -298*n + 157*n + 46 + 146*n + 68 to r*n + g and give g.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -202 + 194. What are the prime factors of (-5578)\/g + 33\/(-132)?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53529 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 3. Let d be -2*(-1)\/(-2)*9. Does 7 divide g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(288) + sqrt(288))*2 - (sqrt(288) + sqrt(288) + 0 + -3)) + -2)**2 + 2.\nAnswer: -48*sqrt(2) + 1155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 7*c**4\/6 + 9*c**3\/2 + 35*c**2 - 3. Let h be s(-1). What is the smallest value in 0.08, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -20 - 20*y + 50*y - 32*y. Calculate the remainder when 55 is divided by b(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*x - 5*x. Let g = 11 - 6. Suppose x*w - 2*o - 38 = -g*w, 2*w + 4*o - 20 = 0. Which is smaller: w or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6192563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 18*p**3\/5 + 4*p**2 - 14*p\/5 - 16\/5 = 0.\nAnswer: -1, 8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*q - 4*r, 2*q - 3*r = -q - 15. Suppose 8 = -q*m + m. Let t(n) = n**2 - 6*n + 7. What are the prime factors of t(m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178281 times -0.1?\nAnswer: -17828.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/17 or -61?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 15800\/(-1575))*-18?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 u when three letters picked without replacement from udeeqdqeedq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-900)\/(-40))\/((-120)\/96)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 divided by 6.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54963980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 3\/3659, -9\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.051 from -1272.\nAnswer: -1272.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2177*f - 64 = 2173*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (15\/(-5) - -1). Solve s - 4 = t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -29*f**3 - 12*f**2 - 2*f - 6. Let k(a) = a**3 + 4*a**2 + 3. Give -3*k(o) - n(o).\nAnswer: 26*o**3 + 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -834*o + 13 + 3*o**3 + 834*o - 13.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 216) + ((-10)\/(-1) - 9). Let c = -210 - m. Sort c, 1\/3, -5, -6 in increasing order.\nAnswer: -6, -5, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayav when four letters picked without replacement from yvvaaw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83.971 + -83.9531498. Let p = 88.9956502 - q. Let f = -89 + p. What is f rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 11 = -13, c + 10 = -i. Let x be c\/(-6) - (-45)\/(-18). What is the closest to -2 in x, 1\/6, 2, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 70, 144, 218, 292, 366, 440?\n\"Answer: 74*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 5*r + 11, -3*z - r = 4*r + 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -406662 divided by -2?\nAnswer: 203331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109556?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**4 + 4*c**3 + 2*c**2. Let p(w) = -4*w**4 - 3*w**3 - w**2. Let i(m) = -3*g(m) - 4*p(m). Find the third derivative of i(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -5, 4\/7, -2, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.141662ml in litres?\nAnswer: 0.006141662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 9 = -c. Suppose 0 = -q + c*q - 8. Calculate the highest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/18 and 1\/198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 850 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guuo when four letters picked without replacement from {g: 1, s: 1, u: 6, o: 1}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 128099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 + (-5)\/(30\/(-24)) is divided by (-2)\/(-2*2\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -832 (base 14) in base 12?\nAnswer: -b24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5*-4*(sqrt(7) + -1) - (sqrt(7) + (sqrt(7) - (2 + sqrt(7) + -1)) + sqrt(7) + (sqrt(112)\/sqrt(4) + sqrt(28))\/sqrt(4))))**2.\nAnswer: -960*sqrt(7) + 4432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -4 - (-2)\/((-2)\/(-395)). Let x = -229 + i. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 8\/13 (c) 1\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 2. Suppose 4*y = 3*y - 3. Does 16 divide 130\/j + y\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-63)\/(-6))*(-40)\/(-15)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4712760?\nAnswer: 2, 3, 5, 13, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 + -1032003?\nAnswer: -1032122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.2503226ns to hours.\nAnswer: 0.0000000000020139785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**4\/6 - 30*y. Let v(n) = -60*n. Determine v(q(b)).\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-21)*(-1)\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*q - 6. Let b be (9\/12*2)\/(0 - (-18)\/(-252)). Sort 4, q, b in decreasing order.\nAnswer: 4, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, -2\/11, 1\/4, 18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 7 = 6*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - ((-2 - 12) + -74 + 83)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3 + (-3 + 0 + 2)*(-1 - 4 + 3) - 1 + 6 - 4 + 3 - 1 - 3 + 4 - 1 - 2)*(5*d**3 + 72*d**2 + 60*d**2 + 141*d**2).\nAnswer: 10*d**3 + 546*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 31*n - 63. Let m be i(13). Suppose m*r + 5*z = -8, 5*r - z + 4*z - 18 = 0. Solve 3*q = -0*q - r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -613?\nAnswer: -6\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 315254 - 257247209\/816. What is the common denominator of 26\/33 and a?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-6)*1*204. Suppose 0 = 2*m - 3*m - i + 801, -m = -2*i - c. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4\/8*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 599*h + 49806. Let b be d(74). Let k = -0.2 + 1.2. Put 0.1, -0.5, k, b in decreasing order.\nAnswer: b, k, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-25)\/(-15))*(-2)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 2*u. Let h be j(-3). Let a = 5 + h. Let c(o) = 98*o**2 - 2. Let k be c(a). What is k rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1*32\/(-4))\/((-4)\/(-26)) is divided by ((-152)\/(-24))\/((-1)\/(-3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*d**3*f**2*t**2 - 2*d**3*f + 26*d**3*t + 16*d**2*f**3*t**2 + d**2*t - 3*d*f**3*t - 2*d*f**3 wrt t?\nAnswer: -128*d**3*f**2 + 32*d**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2883.923 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21221102012 (base 3) in base 13?\nAnswer: 561b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 133021, 134070, 135119, 136168?\n\"Answer: 1049*i + 131972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3519*s**2 + 4674*s + 24 = 0. Calculate s.\nAnswer: -2\/391, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w - 15. Let r be a(7). Let x(h) = -r + h**2 + 4 - 1. Let y(j) = 18*j - 159. Let l be y(9). What is x(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15909?\nAnswer: 3, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 749 + 757 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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: Let s = -190 + 191. Let g(w) = -3*w**2 + 3*w - 1. Let l be g(-6). Let f = l - -385\/3. Which is the nearest to 1\/6? (a) -5 (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 535, 2246, 5101, 9100?\nAnswer: 14243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/8 + 213*t\/8.\nAnswer: 3*t*(t + 71)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1856 = 2*i + 2*g, 4*i - 3722 = -55*g + 56*g. Calculate the smallest common multiple of i and 165.\nAnswer: 10230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3271 is divided by 493\/(-522) - (-2)\/4 - (-182590)\/279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-4)\/(-1) - 0. Suppose x*r - 5*m = -90, -5*r - 5*m - 90 = -0*m. Let y = r - -13. Put y, -3, 0 in descending order.\nAnswer: 0, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 141, 283, 465, 681, 925, 1191, 1473?\nAnswer: 1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 31*a**2 + 4 - 4. Let b(x) = 320*x - 110*x - 104*x - 108*x. Calculate q(b(f)).\nAnswer: -116*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447849 rounded to the nearest 10000?\nAnswer: 1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 29*v**5\/2 + 5*v**4\/6 - 2*v**3\/3 - 9*v - 2. Find the third derivative of t(z) wrt z.\nAnswer: 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/120*7*-4.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (19 + -29 + (2 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6107 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 9*f**2 + 22*f - 40. Is m(20) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7206401317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4933588.\nAnswer: 2, 11, 31, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-8\/3)\/s)\/s)**(4\/7) assuming s is positive.\nAnswer: s**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-14))\/((-2)\/266). Let b be (c\/(-18) - -3) + (-1 - -5). Factor 2\/9*n**4 + 2\/9*n**2 + 2\/3*n - 4\/9 - b*n**3.\nAnswer: 2*(n - 2)*(n - 1)**2*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*q + 2*q - 4232. Which is bigger: q or 90?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 * -36.1435\nAnswer: -1156.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 7*w**2 - 364*w - 3443. Determine x(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 139510 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 14, 17, 4, -31, -94, -191?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(85)\/sqrt(5) - sqrt(68)\/(sqrt(12)\/sqrt(3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -171, -173, -175, -177, -179?\n\"Answer: -2*c - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3474.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 57\/8?\nAnswer: 57\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7153 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -127 from -234710051257.\nAnswer: -234710051130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*m - 86 - 478. Let s be (0*(m\/(-8) + -1))\/(-1). Factor -3\/10*i**2 + s*i - 1\/10*i**4 - 2\/5*i**3 + 0.\nAnswer: -i**2*(i + 1)*(i + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -9. Which is the smallest value? (a) z (b) -2\/7 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120329 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 3. Let i(q) = 0 - 4 - 191*q + 192*q. Determine 5*a(j) + 4*i(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53670586 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3277 (base 16) to base 4.\nAnswer: -3021313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8020.428um in meters?\nAnswer: 0.008020428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - -116) + -84 + -12.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87*l*o**2 + 1054190*l - 628*o**2 + 3*o - 2 wrt o.\nAnswer: -174*l*o - 1256*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2510*v**2 - 9558*v**2 - 6482*v**2 - 11656*v**2.\nAnswer: -25186*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34170660 and 324.\nAnswer: 34170660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 17 = -4*n, 4*k + 4*n + 13 - 1 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70192 and 141660617?\nAnswer: 4387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.8, 0.5, -158.8, -4, -0.106 in decreasing order.\nAnswer: 2.8, 0.5, -0.106, -4, -158.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2879825 and -1703404.\nAnswer: 1176421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.01576um in meters?\nAnswer: 0.00009501576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137 and 279343?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 - 4.87. Let y = 0.1 - -0.9. Sort k, -4, y in descending order.\nAnswer: y, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 116623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*6\/9 + 1245\/581?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*r + 1252 - 2438 - 3224 = 0 for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7019, 14054, 21107, 28184, 35291, 42434, 49619, 56852?\nAnswer: 64139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 161186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z - 18. Let m(q) = -16*q - 24. Let k(g) = -35*g - 51. Let s(f) = 6*k(f) - 13*m(f). Determine 3*c(n) + 8*s(n).\nAnswer: 2*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157 by -8.\nAnswer: 157\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/o**7)))\/(((o**(-2\/7)\/o)\/o)\/o*o))\/((o**0*o)\/(((o**(1\/3)\/o)\/o)\/o)) assuming o is positive.\nAnswer: o**(-155\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (28 + -7)) + 2 + 0 + 7 + 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3156, 14153, 32478, 58131, 91112, 131421, 179058?\n\"Answer: 3664*b**2 + 5*b - 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-234)\/(-52) - (2 + 3). What is the closest to c in 0.5, 0.08, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + -51?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15019, 15293, 15763, 16429, 17291, 18349?\n\"Answer: 98*c**2 - 20*c + 14941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6132 + 7248 = 6*m. Suppose 10*v = 10 + m. Calculate the smallest common multiple of 12 and v.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*x - 4*o + 28, o = x - 18. Suppose 1 = c - x. Suppose 0 = 6*i - 11*i + 50. What is the lowest common multiple of i and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395695462?\nAnswer: 2, 197847731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 12:33 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 55. Determine m(-42).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43136123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 22477.13 kilometers?\nAnswer: 22477130000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.29052 at least as big as -441\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 9\/2 (b) -1\/3 (c) -2 (d) 2130 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n - 9. Let z(d) = -d**2 - 4*d + 4. Let x be z(1). Let m be c(x). Let f(w) = -183*w - 3. List the prime factors of f(m).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1333 + 301 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + (0 + sqrt(405))*5) + -2*-1*(sqrt(405) + -2) + -5)**2 + -2.\nAnswer: -22464*sqrt(5) + 416239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -5*f - 0*f + 118. What is the closest to -2\/3 in 0.09, f, 3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k = -37*k + 5. What is the third biggest value in -1\/6, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006695725 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, 5, 0.04, 2\/19, -250, -1, 6?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3623 (base 7) in base 6?\nAnswer: 10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 12:05 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 125*y + 120*y = -96, -194 = 5*d + 3*y for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 0*j**2 - 8*j - 2 + 0 + 6 - 9*j**2 - j**3. Suppose -3 - 37 = 5*s. Let p be h(s). Solve 0 = -2*g + p + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**4\/24 - 13*u**3\/6 + 67*u**2. What is m(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3 = 3*v. Suppose 0 = 2*c - 11 - v. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1856 or 0.413?\nAnswer: -1856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 6*s - 75. Let g be l(-4). Calculate the greatest common divisor of g and 12701.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*q**4 + 8*q**2 - 869*q.\nAnswer: -72*q**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0*s - 9*s)*(-14 + 14 + 5*s - 3*s + 6*s - s + (s - s + 2*s)*(0 + 5 - 3) + 3*s - 3*s + s - 1 + 1 + 2*s).\nAnswer: -98*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -40*h + 1488. What is x(42)?\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**3 - 2*m**2 - 2*m - 2. Suppose -15*c + 100 = -35*c. Let v(y) = 13*y**3 - 5*y**2 - 5*y - 5. Calculate c*x(s) + 2*v(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.115 take away 18896.7?\nAnswer: -18896.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Suppose -3 = v - 5. Suppose 0 = 4*a - 30 + v. Calculate the smallest common multiple of a and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18430321 rounded to the nearest 100000?\nAnswer: -18400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -34*f. Suppose 2*n = 6*w - 7*w + 5, w - 4*n = -19. Let z(b) = -11*b. Calculate w*m(t) + 8*z(t).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikflifilal. Give prob of picking 1 i and 1 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttf when three letters picked without replacement from ttttttfttftttftttttf?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.0014 and 1588.\nAnswer: -3178.2232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11\/222 + -3091\/777. Find the common denominator of ((-553)\/(-168))\/1 + (-2)\/8 and l.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 3)\/(-3) + 30. Let c = i - 16. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 20 = -8*d - 15. What is the smallest value in 4, 3\/5, -2\/3, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 53\/5 of a microgram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 + 3*w - 29. Let i(x) = -3*x**2 + 4*x - 30. Calculate 4*i(f) - 5*j(f).\nAnswer: -2*f**2 + f + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6304769, 0, -6 in ascending order.\nAnswer: -6, 0, 6304769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8509 and 674176579.\nAnswer: 8509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - 52. Let s = z - 14. Let u = s + -13. Solve 5 - u = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/5 - 958*j**4\/5 - 104249*j**3\/5 - 696368*j**2\/5 - 274740*j - 780624\/5 = 0. Calculate j.\nAnswer: -834, -117, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/202560 and 59\/36?\nAnswer: 607680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15715 or 1?\nAnswer: -2\/15715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2906927407.\nAnswer: 2906927407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 55 + 16*g)*(g - 2*g - 4*g).\nAnswer: -80*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 369326, 369327, 369328?\n\"Answer: a + 369325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35762122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 136 = -170*o + 165*o, -o + 3*o = 0 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03593 * -0.019.\nAnswer: 0.00068267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (8 - ((-2 - -5) + 21 + -22) - 22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d - 1610 = -5*y + 36*d, -3*d = -2*y + 621. Calculate the greatest common factor of 1590 and y.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 12:55 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/7 + 1420*l\/7 - 12942\/7 = 0. What is l?\nAnswer: -719, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1404573065?\nAnswer: 5, 7, 17, 1321, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.33779 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/8)\/(-17)*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 2*k + 1. Suppose -5*y + 3 + 7 = 0. Let c be s(y). Let x(n) = n**2 - 3*n - 5. What is x(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/7)\/(22\/154). Find the second derivative of l*f**3 - 993*f**2 + 498*f**2 + 490*f**2 + 24 - f wrt f.\nAnswer: 18*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 29*x**2 - 168*x + 38. Is a(113) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 6*u + 8. Let b be m(-6). Let o = b - 5. Solve 3*v + o - 9 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - (1 + -1 + 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 7 + 8 = 0. Let m(r) = -82*r + 1. Let d be m(l). Suppose 31 = -2*w + d. Calculate the greatest common factor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-119)\/6069 - 3145683\/(-153)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 7. Suppose 5 = -p*c + 10. Let r(z) be the first derivative of 7*z**4\/2 - z**2\/2 + z - 1. Determine r(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/789199 and 32\/5?\nAnswer: 3945995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, -6 in ascending order.\nAnswer: -19, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2352.7 - -3229. What is d rounded to the nearest 10?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35493081*f + 35493081*f + 43*f**2.\nAnswer: 43*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106125 and 7641.\nAnswer: 955125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 11871\/162794?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 38. Differentiate 8 - 4 - 9*x**2 + m + x**2 wrt x.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2. Let h(o) = -o**2. Let y(u) = h(u) + j(u). Let t(f) = -f**2. What is y(t(v))?\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = 2. Let p(b) = 19*b + 5. Let a be p(j). Let n be 2 + 9 + 0 + -2. What is the greatest common divisor of a and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.496 in -69, 4\/3, -1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -61516.\nAnswer: 3\/15379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 28464*o - 2455300. What is n(86)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**5\/60 + p**4\/8 + p**3\/6 - 7*p**2. Suppose -4*n - 5*c + 2 - 7 = 0, 0 = -5*n - 2*c - 19. What are the prime factors of t(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.2. Let y = -1.1 - p. Let l = 39433\/177327 + -3\/19703. Put l, y, -9 in descending order.\nAnswer: l, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 - 240.4619944.\nAnswer: -156.4619944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3153, -6888, -10621, -14352, -18081?\n\"Answer: i**2 - 3738*i + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1 - sqrt(19) - 2*(sqrt(76) - sqrt(19)))**2 - (1 + sqrt(475))*-6.\nAnswer: 25 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:46 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1227454071?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*f. Suppose m - 17 = -f*m. Calculate the greatest common divisor of 51 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 - 122*q + 12*q**2 + 3*q**2.\nAnswer: q**2 - 122*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1161, 1167, 1171, 1173, 1173, 1171?\n\"Answer: -q**2 + 9*q + 1153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/21)\/((-560)\/(-980)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 - 30\/(-4). Let c = 770 - 770. Solve 0 = 3*s + 2*d - c - i, 0 = d + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-3)\/(-6)*-6. Suppose -l*n + 3 = o - 0, 4*o - 2*n - 12 = 0. Solve h - 3*y = -h + 13, o*y + 18 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 13. Calculate n(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-36))\/((-2)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + sqrt(275) + -2 + -5 + -1)*-4)**2*1.\nAnswer: -2560*sqrt(11) + 18624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*q - 135*q + 80*q - 137*q.\nAnswer: -252*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -6 - 9) + (12 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 5. Let h be y(-4). Let p be 3 + 0\/3 + (1 - -1). Let o = -0.3 + 0.2. Which is the nearest to -2\/3? (a) p (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - a + 3. Let b be (2\/6)\/((-3)\/(-9)). Suppose -f + 3 = b. Let m be 3*(f + -1 + -2). Determine h(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1661805\/19 or 87464?\nAnswer: 87464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 18 = -2*v + 12, 3*w = -2*v + 4. Calculate the lowest common multiple of 102 and w.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -11*x. Let z(c) = -2*c**2. Give f(z(q)).\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (17 + (12 - 35)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 240 = 5*b, 0 = 4*b - 7*n + 4*n - 165. Solve 0 = -2*x - b + 53 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 39 = 16*q. Let b be 0\/(5*(-9)\/(180\/8)). Solve b = q*x + x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*f + 3551 = 0, -735 + 38 = -s + 4*f. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11280346?\nAnswer: 2, 7, 11, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4925164696897 and 0.003.\nAnswer: 4925164696897.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19551 divided by -80\nAnswer: 19551\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145658 and 19566?\nAnswer: 2174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 1943778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -151*o + 609. Determine c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53840 - -94813. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.3 + -24.8. Which is the third biggest value? (a) 5 (b) z (c) 250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1735509 nanometers to meters.\nAnswer: 0.0000000001735509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**8*a**34*a assuming a is positive.\nAnswer: a**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 2*l - 1. Let g be s(1). Let m = 8 - g. Suppose -m = -h + 12. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 26*r + 53. Let i be f(24). Suppose k + 1022 = i*k - d, -3*k + 778 = 5*d. What is the greatest common divisor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2474438 (base 10) to base 2\nAnswer: 1001011100000111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1050206 is divided by 2298?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*j - 4*o = 93*j, 6 = -j + o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 258*w + 51. Let p(t) = 17*t + 3. Calculate -2*a(b) + 33*p(b).\nAnswer: 45*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**4 - 2132656*k**3 - 10663208*k**2 - 14928464*k - 6397908 = 0. What is k?\nAnswer: -533159, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 1\/2*j**2 + 3 - 2*j + 1\/4*j**4 + 0*j**3. Let q be u(2). Solve -6*n = -2*n - q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -707, -2, 25.\nAnswer: -707, -2, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 395671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*p + 318 - 462. Solve 2*s = 2*k - p - 0, -2*k - 18 = 4*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2847 and 53\/18.\nAnswer: 17082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/9234 and 133\/6894.\nAnswer: 3536622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 + 7.82. Let k = u - 7.8. Let y = 2\/117 + -80\/117. Is k >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 3*q = -1878. Let w = 52 - q. Let a = -171 - w. Calculate the greatest common divisor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022935 to 5 dps.\nAnswer: -0.00229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.7928308 months?\nAnswer: 0.002327359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 688721832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -326*t**3 + 16*t**2 + t + 12. Let q be z(12). Round q to the nearest ten thousand.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 7*w + 6. Let j(f) = -f**3 + 15*f**2 - 13*f - 9. Let c be j(14). What is z(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5714540 divided by 87916\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -328 - 2) + (9 - 11). Let w(g) = 33*g - 6. Let i be w(6). Let o = n - i. Calculate the remainder when o is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4371724 divided by -14.\nAnswer: 312266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -70680.3 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398364195.\nAnswer: 5, 29, 967, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3177 and 4236.\nAnswer: 12708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -0*g - g + 2*t, 4*g - 5*t - 41 = 0. Let k be (-88)\/(-20) + g\/(-10). Solve -5*b + k + 11 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from rtorpoooozotrz?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -10132?\nAnswer: 10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + (-18634)\/(-990))*12\/8.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230190133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c*c*c**(-9\/4))\/(c**(2\/9)*((c*c**(-4))\/c)\/c) assuming c is positive.\nAnswer: c**(1213\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(-2*c + 0*c + 3*c)*(-1 + 1 - 2)*(-3*c + 6*c - 2*c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -13673*t. Let l(x) = 2*x**2. Calculate l(d(f)).\nAnswer: 373901858*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -341150616?\nAnswer: -341150560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/(-6 + 9) + -11. Let d(h) = -2*h**3 + 3*h**2 + 1. Calculate d(u).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1160, -2074, -2990, -3908, -4828, -5750, -6674?\nAnswer: -7600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1111\/12, 4, -29\/9, 1?\nAnswer: -29\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6. Let f(u) = -u - 25. Suppose -4 = d - 2. Determine d*f(k) - 9*n(k).\nAnswer: 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 0.5, 1221?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.046 (b) -22.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p - 1751 = -17*p - 11*p + 136 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 12:57 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 6 = -2*n - 3, 5*n - 25 = -u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 + 1 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**8*q)\/q**2*(q**0)**(-1\/2))**(-12\/17) assuming q is positive.\nAnswer: q**(-84\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34248 rounded to 2 decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 z when three letters picked without replacement from plplllzlpllpzllppp.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1147882.02 times -0.2?\nAnswer: 229576.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -141 and -438635.152.\nAnswer: -438776.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 155200277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 329566.1 and -2.\nAnswer: 329564.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**5\/3 + 113096*x**4 + 4803744408*x**3 + 1839083152384*x**2\/3 = 0.\nAnswer: -84758, -128, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-36)\/(-48))\/((-1)\/(-4)). Suppose -4*r + 10 = -2, -r - 666 = -b*n. What is the remainder when n is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 12 = 3*m, -3*m - 34 + 14 = 5*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -20) + 0 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/18819*86\/(-4) and 47\/6?\nAnswer: 4182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -270, -212, -156, -102, -50, 0, 48?\n\"Answer: -a**2 + 61*a - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -307 - -307.074. What is the closest to -0.1 in 4, -2\/19, s?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*-1 + -2 + (-4*1*sqrt(49))\/sqrt(7))**2.\nAnswer: 36*sqrt(7) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**4 + 53*n**3 + 2 - 5*n**4 + 0 - 9*n**2 - 7*n**3 - 44*n**3 - 8*n in the form y + j*n**3 + b*n**2 + t*n**4 + z*n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1554 = 1382. Let w = 542 + o. Let h = -3603\/4 - w. What is the common denominator of h and 43\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -5 (b) -8 (c) 5 (d) 541 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 370 and 2072.\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 179 + 19?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izmu when four letters picked without replacement from mzuii.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4246 - -11?\nAnswer: 4260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 713.99524 + -714. What is r rounded to four decimal places?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/20)\/(6\/(-9)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**3 - 9*c**2 - 12*c - 3. Let k be j(-1). Let q(n) = n**3 + 6*n**2 + n + 8. What is q(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 23\/2 - 1\/2. Suppose 10*i = 4*i - w. Let j be ((-15)\/(-5) - (-8)\/(-2))\/i. What is the fourth biggest value in j, -0.4, 21, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k + 2. Suppose -3*z = 3*o - 63, 4*o + 12 = k*z - z. Suppose -z*q + 15*q = -63. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 13\/3*j**3 + 0*j - 7 + 0*j**2. Let l(y) be the second derivative of y**3\/3 - 9*y. Calculate f(l(w)).\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*c**3 - 132*c**3 - 5*c**3 - 1.\nAnswer: -184*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 824439.6 hours?\nAnswer: 2967982560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = 5*x - x + 28, -2*p = 2*x + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 450553243 - -5?\nAnswer: 450553252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 minus -31.71827926?\nAnswer: 35.21827926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28732 plus 47114?\nAnswer: 75846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 8 = 4*d, 4*u + 62 = 3*d + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -173, -135 in descending order.\nAnswer: 3, -1, -135, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2 - 9*n + 3*n**2 - 36 + 49*n - 11*n**2 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56460613 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Round 433922.1608 to the nearest one hundred.\nAnswer: 433900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 16822505.\nAnswer: 16822503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27498 - 27498. Solve t = -4*h + 2*h + 2, -14 = -4*m + 2*h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7\/2. Which is the third smallest value? (a) -1 (b) m (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 10 - (-4 + -1 + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.566267 minutes to hours.\nAnswer: 0.22610445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 48 = -d + 9, d - 73 = 38*n + 14*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 88358 (base 10) to base 14\nAnswer: 242b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 10*s - 17. What is u(14)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 11. Let z = -5.174 - -0.074. Let l = z + 0.1. Sort l, 2, o in descending order.\nAnswer: o, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:23 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 3*g**2 + 2. Let k = 7 + -4. Let d be j(k). Suppose 12 + 12 = d*o. Solve -3*a = o, -4*u - 23 = -u + 5*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27 (b) -35 (c) 26 (d) -2\/11 (e) -12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*m**3 + m**4 + 8*m**3 - 199*m**2 + 3*m + 196*m**2 as a + f*m**2 + r*m**3 + i*m**4 + s*m and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 99.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 12:28 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/252*-30)\/(398\/(-1393))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v + 5. Let o(p) = 2*p - 4. Let z(a) = 4*i(a) + 5*o(a). Let r(l) be the first derivative of -4 - 2\/3*l**3 + 0*l**2 + 0*l. Calculate z(r(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 154\/(-6)*(-756)\/1323 - (2 - -3)?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 0.4, -4, -976, 2 in ascending order.\nAnswer: -976, -5, -4, 0.4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 128*r**2 - 138*r + 2105. Is n(89) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 1378416 = -6*a. Let k be ((-9)\/((-540)\/a))\/12. Let j = k - -1554\/5. What is the common denominator of -49\/26 and j?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 1 - 2)*(-2 - 5 + 1) + 0 - 1 + 0)*(-5*h**2 + 3*h**2 + 0*h**2) to t*h**2 + g*h + p and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1139 - -1137. Which is the third biggest value? (a) g (b) -0.5 (c) -1\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 518 + 1a5?\nAnswer: 6c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 20426?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 1399?\nAnswer: 19\/1399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*a - 28 - 314 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**9*j*j)\/j*j*j**(-2)*j)**(1\/2))**(-4\/13) assuming j is positive.\nAnswer: j**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -127, -116, -103, -88, -71?\n\"Answer: i**2 + 8*i - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 3597189003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 4*d + 23, -p - 213*d - 7 = -214*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 35 = 4*d, 68*u = -d + 69*u + 5. Solve 207*j + d = 205*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292, 579, 876, 1189, 1524, 1887, 2284, 2721?\nAnswer: 3204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s + 7 = 0. Factor 9*d**5 + 22*d**3 + 3*d**2 - s*d**3 + 10*d**4 + 15*d**4 - 4*d**4.\nAnswer: 3*d**2*(d + 1)**2*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**44)**40 assuming y is positive.\nAnswer: y**1760","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -206307*z - 30*z**2 + 206307*z. Let x(t) = -3*t**2 - 16. What is x(s(k))?\nAnswer: -2700*k**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 1. Let j(d) = d + 6. Let s be j(0). Let u(a) = -a + 23. Let o(l) = l - 16. Let n(q) = -7*o(q) - 5*u(q). What is s*i(b) + 2*n(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7580 a factor of 5792852913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10)\/(6\/(-18)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 0.7?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - 2*v - v**2 + v**2 + (2 - 4 + 0)*(189*v - 53*v + 94*v)*(v + 0*v - 2*v).\nAnswer: 462*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152*g - 1121*g = -186 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieik. What is prob of picking 1 e and 1 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 30. Let j be r\/(-1 + (1 - 1)). Let v(o) = -o. Let w be v(j). Which is the third biggest value? (a) 3 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 35.49473 and -890.\nAnswer: -854.50527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, s: 1, w: 1, j: 6}. What is prob of sequence yjwy?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 192 = -l. What is the common denominator of 95\/28 and (-5 + 220\/l)*42\/(-20)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 25 = 0, -49*l + 44*l + 2*q = -10. Solve l = -5*x - 0 + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 804.451 - 804. Let h = f + -60.851. Round h to 0 dps.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p. Let l(q) be the third derivative of 0 + q**2 - 1\/12*q**4 + 0*q + 0*q**3. Calculate k(l(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 50. Let s be ((-4)\/(-10))\/((-21)\/k). Let u = 2694\/55 - 244\/5. Which is the third biggest value? (a) 1\/3 (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z - 4*z - 3 - 4*z + (1 + 4 - 4)*(-1 + 3 + 95*z - 100*z) in the form h + y*z and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 11:08 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5263 - 5261. Solve 0 = -3*b - 4*w - 5, m*w - 17 + 6 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/37)\/(26 + 13). Suppose 0 = 2*g + 3*g - 15. Solve -g*t - 6 = q, -5*z - 2*t - 1 = 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1\/8, -12, -5, 3 in decreasing order.\nAnswer: 10, 3, -1\/8, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/2 + 7 + 244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/28*128\/(-288). Let s = -0.03 + 0.53. Which is the nearest to 1? (a) 14 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 7595 = -2*p - 2464, 4*p + 2*u = 10282. Let y = p + -1406. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5*w, 2*d - 4*w = -7 + 17. Sort 5, d, -0.2 in decreasing order.\nAnswer: 5, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*c - 10. What is the greatest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 32*k**3 + 2*k**2 - 2*k - 3. Let z(f) = 3*f - 2*f**2 - 14*f**2 + 41*f**2 - 28*f**2 - 32*f**3 + 4. Calculate -3*x(s) - 2*z(s).\nAnswer: -32*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5611 + -5613. Which is the third biggest value? (a) i (b) 13 (c) 2\/5 (d) -0.4 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33764 divided by -8441.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3*x + 241, 2*q = 4*q + 3*x - 119. Is q a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 5*u**2 - 5*u**2)*(-u + 0*u - u)*(-9 - 3 + 1).\nAnswer: -44*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z - 2. Let h be f(2). Let x(j) = 0*j + j**3 - 4*j**3 + 4*j**3 - 2*j**2 + 2*j. Let m(p) = 7*p**3 - 13*p**2 + 13*p. Give h*m(g) + 39*x(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 - -171.2. Let i = 60289 - 60258.8697. Let n = x - i. What is n rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 1018*w + 15048. Let r be c(15). Factor 1\/3*t**5 + t**r + 0 + 1\/3*t**2 + 0*t + t**4.\nAnswer: t**2*(t + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*p = c - 25, 3*c - 2*p = 5. Suppose 32 = 2*g + 2*g + z, c*g - 5*z = 40. Let u = -22 - -37. What is the remainder when u is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -10*s - 15. Solve -2*h + s + 1 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + v**2 - v + 1. Let o be i(1). Let a(j) = -j**2 + 9*j - 2. Let y be a(9). Let m be 1\/(-2)*1*y. Are m and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 321\/(-476) + (-38)\/(-133). Let l = b - -7\/68. Let a = -2\/507 + 3559\/2535. What is the fourth biggest value in a, 0, -1\/6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 8:02 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + -8 + (-21)\/(2 - 3). Suppose 2*c + 5*f = n, 0 = -0*c + 2*c + 3*f - 15. Solve 3*s - s - 8 = c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from sssssssssssssssrsssr?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2243.\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13*w + 284. Let f(y) = 5*y - 142. What is -5*f(l) - 2*r(l)?\nAnswer: l + 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -372735 (base 9) to base 8.\nAnswer: -667553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 1 - 1)*19. Let j be (-1 - -2) + (-6 - k\/(-7)). Put 6, -5, j in decreasing order.\nAnswer: 6, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7227)\/146*(-12)\/(-6)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 21 = -h. Suppose h*y + 3*s = 2*y + 14, -2*y + 2*s = 4. Is 1 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 20 - (2 - -3). Solve -5 = 3*z + 2*a, 2*a + h = -z - 3*a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1412131 to the nearest 10000.\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550359636 + 16607899636 = 79*f. What is f rounded to the nearest one million?\nAnswer: 203000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/10)\/(6\/30). Let l be 100\/3 + (-4)\/r. Let v = l - 22. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 2.558?\nAnswer: 2.558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 4. Let w = -24979 + 25000. What is the remainder when w is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiswsjqw. Give prob of sequence si.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (-5)\/(5\/(-12)). Let h(k) = 18*k**2 - 7*k**2 - j - 8*k**2. Let l(n) = -n**2. Give h(l(g)).\nAnswer: 3*g**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5394 = -2*l + 1091, 3*l + 3*h - 9696 = 0. Does 105 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4115336 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 - 13*i**2 + 17*i**2 + i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1322.4 + -1322. Which is the nearest to r? (a) -2 (b) -3\/8 (c) 2 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43187, -86370, -129555, -172742, -215931?\n\"Answer: -u**2 - 43180*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -20*c**5 - 312*c**4 - 292*c**3 + 2048*c**2 - 1872*c + 448 = 0?\nAnswer: -14, -4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7468 in 2, -2, -2\/199, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 3, 7, 5, -7.\nAnswer: -24, -7, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*r + 4*q, 4*r + 5*q - 105 = -76 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1322 (b) 1 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-124)\/14)*((-202)\/330 + 24\/60)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -344, 12, 3 in increasing order.\nAnswer: -344, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8*m + 176 = 3*m, -4*t = -4*m - 176. Suppose a - c + 43 = 3*a, -57 = -3*a - 3*c. Let w = -9 + a. What is the remainder when t is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11352 and 2123?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 7*z**2 + 7*z + 4. Let i be s(-2). Let j = -8 + 53. Calculate the highest common factor of i and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 5:53 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k - 56 = 70 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10c5b78 + 2?\nAnswer: -10c5b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 179424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -95*b**2. Let q(m) = 1824*m**2 - 590*m**2 - 519*m**2 - 550*m**2. Calculate q(u(h)).\nAnswer: 1489125*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/40 and -43\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 46 = -1011*w + 1008*w, 16 = 3*w - f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 - 54. Let o = 31.8 - q. Let n = 1.82 + o. What is n rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 66*x + 26325 - 26196 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 317 + -247. Suppose -f*c = -85*c + 225195. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -480503212*i**2*o**4 + 565*i**2*o - 38714*i**2 wrt o?\nAnswer: -5766038544*i**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 4 + 3*q + 6*q. Let i = 0 + -3. Let w(y) = -6*y + 1. Let h(c) = -3*c + 1. Let p(f) = i*w(f) + 5*h(f). Determine 2*o(k) - 5*p(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41034.\nAnswer: 2, 3, 7, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6 = 2. Let h be (-1358)\/(-126) - p\/(-9). Let c be (h - (-1 + 3)) + 4\/(-1). Solve -2*r - 30 = c*z, -3*r - 4*z - 31 = -0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 + n**3 + 0*n**3 + (2*n - 4 + 4)*(-3*n**2 + 5*n**2 + 0*n**2) + 7*n**3 - 3*n**3 - n**3 + (-6*n + 0*n + 4*n)*(-2*n**2 + n - n).\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111111 (base 2) to base 10.\nAnswer: -319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.285 + 0.147. Round n to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - -1) + 587 + -518.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 + -2.8. Which is the second biggest value? (a) y (b) -0.1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57495.\nAnswer: 3, 5, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212737 is divided by 3743?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35518243 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273984648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 730205 and 591325.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 271392 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 10) + (-3 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120764093 a multiple of 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/41)*o**(-28) assuming o is positive.\nAnswer: o**(-1146\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1. Let u(a) = -64*a - 1. What is -u(t) + w(t)?\nAnswer: 64*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/12)\/(2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36424587.\nAnswer: 3, 1249, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/(-36)*(0 + 6). Suppose -5*i + 16 = 2*n, -4*n + i + 2 = -d. Is 28 + 9*1\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/200*35)\/((-32)\/(-20)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 633*f**2 - 5*f + 6342. Let a(i) = -314*i**2 + 2*i - 3171. Let r(q) = 10*a(q) + 4*m(q). Differentiate r(s) with respect to s.\nAnswer: -1216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/3 - 329*j**2 + 1312*j - 3932\/3 = 0. Calculate j.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*o - 81, -188*o + 4*w = -192*o + 84. Solve -2 - 18 = -o*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-135)\/20)\/1*-24. Suppose -d = -4*m + 798. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1446.722154 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 1737 - 6126 = 0. Let c = k - -733. List the prime factors of c.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**3 - 13*j**2 + 33*j + 3. What is v(3)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 10*z - 18. Let t be k(-3). Solve 5*m + 5*d = -15, 3*d + d = -m - t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184, 20, 4 in descending order.\nAnswer: 184, 20, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x + 14. Let f(c) = -10*c**2. Give f(n(w)).\nAnswer: -90*w**2 + 840*w - 1960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135473 - 135533.903. Let u = k - 0.097. Let j = u - -61.00059. What is j rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(14\/4)*-1. Is 3 + (-28*4)\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/18 + -7 + (-133)\/42. What are the prime factors of (-2592)\/q + (-11 - 54\/(-5))?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17694 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6883734\/(-567630) - 10\/(-75)) + 12 and -8\/7.\nAnswer: 6307","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-56)*33\/12375*-35.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-2669\nAnswer: 1067.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 210608460 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3916 - 94097\/24. Let l = -39\/8 - c. What is the closest to -0.1 in -6\/11, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*g = 3*z - 258, -2 = 263*g - 260*g + z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(128) - (1 + sqrt(128) - sqrt(128))) + 4)**2 + (sqrt(128) + -2*sqrt(128) + -4 - (-2 + -2*sqrt(128)))**2 + -5.\nAnswer: -32*sqrt(2) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(2\/21)\/g)\/g)\/g)**(-15\/8)*(g**(-1\/7))**35 assuming g is positive.\nAnswer: g**(-185\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 7) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 340911 * -221.\nAnswer: -75341331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 345734885 and 345734884 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/16 and -71\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60130.\nAnswer: 2, 5, 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-22) - 26488\/2904) + 20\/(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o\/(o\/o**11)*o)\/o)\/(o*o**(2\/19)\/o)*o**(-1\/5)*o*o**(-9)\/o*o assuming o is positive.\nAnswer: o**(446\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = -5*i - 105, 561 = 110*i - 129*i - 2*p for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 63\/105*(0 - -1)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39887 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*c + 16*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*r = 11428, 30*r = 3*h + 33*r - 34296. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 2, 1, 4 in descending order.\nAnswer: 4, 2, 1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 34*p**2 - 217*p - 135. Determine w(28).\nAnswer: -1507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaarrrrrauaauar.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 978922, 978923, 978924, 978925, 978926?\n\"Answer: y + 978921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2261\/84332 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from lssslsjojljjol?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 + 1442 = -155*s - 965 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00330693286 rounded to 7 decimal places?\nAnswer: 0.0033069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -4348, -1, 1, 5, -15 in descending order.\nAnswer: 5, 3, 1, -1, -5, -15, -4348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*w + z + 9, 0 = 2*z. Which is the nearest to 1? (a) -1\/3 (b) w (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 0, 2*f + 0*o - 2 = 2*o. Let u be -3 + 0\/(-4) - (6 + -10). Let i(t) = -2*t**3 - t**2 - 3*t + 1. Let p(q) = q**2 - 1. What is f*p(g) + u*i(g)?\nAnswer: -2*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-519)\/21 - -26)*2?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5. Suppose -3*l + l = q. Suppose 3*k - 176 = -5*y, l*k - 2*k + 4*y + 154 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 5:53 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -29, -331, 90.\nAnswer: -331, -29, -3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = g. Calculate the remainder when 21 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 9*n + 4 + 0*n)*(-149 - 2*n**2 + 149 + 13*n).\nAnswer: 8*n**3 - 60*n**2 + 52*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2127 + 2121. Sort -455, u, 1\/3 in decreasing order.\nAnswer: 1\/3, u, -455","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 354479?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 3 (b) -8\/9 (c) -6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - f + f - 2*f - 4*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267, 1834, 6003, 14076, 27355?\nAnswer: 47142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j = 37*j + 12, i - 4*j = 25591. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6026\/233 > -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-12 + (-13 - -18)) - (0 + 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1620*i + 1647 - 42719 = 412*i for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.301 - 0.001. Which is the closest to 0? (a) p (b) -0.4 (c) 17 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -12*k + 5. Let c(b) = 25*b - 10. Suppose 34*m - 166 = 140. Let z(d) = m*x(d) + 4*c(d). Let t(p) = 24*p - 16. What is -5*t(y) - 16*z(y)?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3261 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 556592645 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50360932957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52606530 and 2700.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 268592325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 22 + 3 = 0. Sort -2, -10, b in decreasing order.\nAnswer: -2, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*u - 9, -5*b = 2*u - 1 + 5. Let t be (-24)\/105 - 9\/(-21). Put b, t, -3 in ascending order.\nAnswer: -3, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g. Let c(s) = 9*s + 1. Give l(c(i)).\nAnswer: 99*i + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -571, -1917, -4539, -8863, -15315?\nAnswer: -24321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -85680 divided by -1260\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 9*d = 20*d + 1188 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) + (-13)\/33. Let p = 68 + -56. Suppose -p*h = -16*h - 8. Which is smaller: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39, 98, 179, 282, 407, 554, 723?\n\"Answer: 11*t**2 + 26*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 5, -1, 1, 28258 in increasing order.\nAnswer: -1, 0, 1, 4, 5, 28258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10185, 20107, 30031, 39957?\nAnswer: 49885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Let d be b(2). Suppose r + 6 = -d*p + p, 0 = 3*p - 4*r + 21. Let k be 2*1 + p\/(-3). Solve 3*f + 2 = 9*l - 4*l, 0 = -3*f - k*l - 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233681063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279752*v**5 - 17615400*v**4 - 18399606*v**3 - 5052788*v**2 - 148206*v - 1152 = 0. What is v?\nAnswer: -1\/2, -3\/187, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -26*j - 234. Let p be s(-9). Which is smaller: p or 2\/523?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -353, -219, 137, 823, 1947?\n\"Answer: 18*w**3 + 3*w**2 - w - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**(-2\/51)*j*j**(-7\/5)\/j*j*j**(-12)*j\/j**7 assuming j is positive.\nAnswer: j**(-4172\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 66 + 5*b)*(-16*b**3 - 17*b**3 + 8 + 38*b**3).\nAnswer: 25*b**4 + 40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/4 - 1\/2. Let h be 1 + (l\/3)\/(-2). Suppose -2*n + 4*t + 10 = h, -3*n = n - 2*t - 14. Calculate the greatest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*y + 4*y - 3*u, 2*y = -4*u - 40. Let c = 4 + y. Let a = c + 11. Solve -a*g - 4*t - 25 = -2*t, 2*t = -g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/6 - (8607\/21)\/(792\/(-924)) is divided by 245.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -251 + 253. Let a(m) = 30*m + 16. Let t be a(-4). Let v = -72 - t. Calculate the lowest common multiple of y and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30192110 - -0.38428.\nAnswer: -30192109.61572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 444413529*s**3*v - 3787469*s**3 - s**2 - 28 wrt v?\nAnswer: 444413529*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 814, 912, 1010?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - 4*(sqrt(153) - -1*sqrt(153))) + 1*sqrt(153)*3)\/(sqrt(54)\/(sqrt(384) - sqrt(6))).\nAnswer: -28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 + 23*h + 4. Let l(g) = -g**3 - g + 1. What is -4*l(j) + q(j)?\nAnswer: 2*j**3 + 27*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -602 + 570.1. Let k = -31.9061 - p. Round k to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 2 = -s. Let r(h) = 1 - 4 + s + 3. Let d(o) be the first derivative of -o**2\/2 - 3*o + 39. What is d(w) + 4*r(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + t + 2, -3 + 9 = -w - 3*t. Let i = 3 + w. Which is the closest to 1? (a) 2 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (7 + -12)) + 5 + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 2*a + 3*a**2 + 33*a**2 + 41*a**2 - 33*a**2 + (-3*a + 3*a - a**2)*(0 + 0 + 2) + 3*a**2 - 4 + 4.\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -9, 78402.\nAnswer: -9, 22, 78402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 266722337 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 11*h + 12. Calculate b(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10702 divided by -294\nAnswer: -5351\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.9621 - 0.0379. What is the fourth smallest value in 0.03, s, -0.4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5\/8)*y\/(y\/(y**(5\/12)\/y*y*y))*y assuming y is positive.\nAnswer: y**(43\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(1*(-2)\/4))\/(-2). Suppose -2*f + 2*w + 1288 = 2*f, 4*f = j*w + 1294. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 4*q - 2. Let g be p(3). Let u = 5 - 1. Let i(x) = x - 1. Let s(n) = -8*n + 6 - 4 + n + 4*n. Give g*s(z) + u*i(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 160*t - 610. Determine a(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-4 - (-16 - -9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30436\/5 + 18200\/3. Sort -2, -1\/4, -2\/13, o, 2 in decreasing order.\nAnswer: 2, -2\/13, -1\/4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -443*w**5 + w**4 - 5300*w**3 - 21260333*w**2?\nAnswer: -26580*w**2 + 24*w - 31800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 11, -5, 3739 in increasing order.\nAnswer: -5, -1, 4, 11, 3739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 142750.98 to the nearest one thousand.\nAnswer: 143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**(-7\/5)\/(t**3)**(-18) assuming t is positive.\nAnswer: t**(1087\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 30 = -28 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 23. Give c(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-1)\/(-2)*2). Suppose -5*z + 22 = -w. Suppose 0 + 10 = z*h. Solve -q + h = 3*p, 3*p - p + q = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -955 - 4?\nAnswer: -959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -41*p + 1. Let s(i) = 39*i - 3. Give -2*s(j) - 3*v(j).\nAnswer: 45*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6356 and 32147059.\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**7\/210 + b**5\/40 + b**3\/3 - 3. Let k(w) be the third derivative of n(w). Find the second derivative of k(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/300 and 103\/256350.\nAnswer: 512700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -1814846?\nAnswer: -181484.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 5, -1\/6, -5, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20105 - -3?\nAnswer: 20111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21373 + 331*o - 21373)*(-2*o + o - 3*o)*(-5*o + o + 5*o) to b*o**2 + v*o**3 + z + i*o and give v.\nAnswer: -1324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m\/m**(-3))\/m*m*m**(-2)*m*m**(-2\/25)*m**0*(m**1\/m**(-2))\/(((m**3\/m)\/m*m)\/(m**(-2\/13)\/m*m*m)) assuming m is positive.\nAnswer: m**(1874\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*y - 495, 15 = -y + 6*y. Calculate the common denominator of ((-10)\/(-2))\/5 + 342\/j and -79\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905784\/169 greater than 5359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**2*c)*c)**(-32))**(1\/43))**(-2\/57) assuming c is positive.\nAnswer: c**(-64\/2451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, s: 9}. Give prob of picking 2 l and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2410130.\nAnswer: 2, 5, 241013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 5\/(-2))*-2. Find the common denominator of 167\/12 - 6\/x and 89\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 7) in base 12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*j + 258*j - 122*j - 54*j + 284*j.\nAnswer: 826*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 - 6*g + 10. Give s(-6).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415414422 is divided by 572?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.35 - -8.35. Which is the closest to 1\/7? (a) -2\/9 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 3*m - 4. Let v be w(-2). Let t(h) = h + 16. Let b(j) = j + 15. Let z(q) = v*b(q) + 5*t(q). Determine z(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u**3 + u. Let x be ((-2)\/4*0)\/2. Suppose x = -4*b - 8. Let m = b - -3. What is w(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose 2*q - x*v - 359993 = 0, -q + 196971 = -5*v + 16992. Suppose -n - 4*j - q = 2*n, 180002 = -3*n - 2*j. Round n to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*o = 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/(w*w**(-1\/3)\/w*w))*w*w)*w*w)**(-13\/4)*((w*w\/w**(5\/4))\/w)\/(w\/w**(-1)))**(10\/13) assuming w is positive.\nAnswer: w**(-100\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(3888)*6 + ((sqrt(108) + 1)*-4 + sqrt(108) - (-2*sqrt(108))**2*1).\nAnswer: -436 + 630*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166105 is divided by 6137.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 257\/17 + -6 + (-400)\/(-68). What is the common denominator of -34\/15 and (-34)\/(-15) - (s\/25 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -9*t**2 + 44. Let m(o) = -31*o - 7. Calculate m(f(k)).\nAnswer: 279*k**2 - 1371","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 41\/2 of a minute?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 2584*o**2 - 15612*o - 23472.\nAnswer: 4*(o - 652)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**4 + 146854*n**3 + 57212*n**2 + 7*n.\nAnswer: 24*n + 881124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - 7*t**2 + 27*t + 87. Give n(-7).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*u + 38 - 661 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -233 + 505. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6890 is divided by 2296.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, q: 4}. Give prob of sequence oq.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -7. Let o be u\/84 + 10\/35. Sort -3\/2, 1, o in descending order.\nAnswer: 1, o, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -12424*r**2 + 58*r + 6. Let t(f) = -f**2 + f + 1. Let u(n) = -o(n) - 4*t(n). Let l be u(-5). Round l to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -76, -221, -582, -1267, -2384, -4041, -6346, -9407?\n\"Answer: -18*b**3 - 19*b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let l(b) = b**3 - 6*b**2 + b - 2. Suppose 0*c + 6 = c. Let a be l(c). Let d(w) = -3*w**2 - 2*w**2 + a*w**2. Determine d(i(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5300093 + -1.53. Round z to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q + 0*q)*(-28*q + 35*q - 11*q)*(-7 + 7 + 12*q**2).\nAnswer: -48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.977 + -3.977. Which is the third smallest value? (a) k (b) -2\/3 (c) 5 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11574021 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14610 by -223.\nAnswer: 14610\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 33. Let l be n(-16). Are -1\/13 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*y + 5*q = -258*y - 77, 0 = -10*y - 2*q + 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 2 - 8*m**2 - 4*m + 25*m**2 - 13*m**2. Give k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 13*s. Does 14 divide k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -760819, -1521632, -2282439, -3043240?\n\"Answer: 3*t**2 - 760822*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16468 - -16503. Solve -65 = 30*u - d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -10*g - 6. Let h(o) = -1. Let w(m) = -4*h(m) + n(m). Give w(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 + 87*s + 168. Calculate z(31).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**7\/1680 - u**6\/288 - u**5\/120 - u**4\/96 + 2*u**3\/3 - 4*u**2. Let g(l) be the first derivative of a(l). Factor g(c).\nAnswer: -(c + 1)**2*(2*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - 3*n + 1. Let x be ((-16)\/(-24))\/((-4)\/(-18)). Let f be x*(-3)\/(0 - -3). What is q(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 20\/2139389?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/3 - 621980*r\/3 - 96714780100\/3 = 0?\nAnswer: -310990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-1)*(-51)\/(-102).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13066?\nAnswer: 2, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 60. Is o(0) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35 and 697664.\nAnswer: -24418240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -251*y - 850*y - 252*y - 975*y + 48888 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001796538 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) 1\/2 (c) -7\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2343940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44422 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -9 - -6 - (32 - 11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + l**2 + 62 - 32.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -40. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/72*222\/(-2960)\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 1. Suppose -3*o + 5 = -1. Suppose -r + o*n + 8 = -0, -n = -2*r + 13. Suppose -r*s + 4*s + 8 = 0. What is v(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -11*k**3\/6 - 29*k**2\/2 - 5*k. What is the smallest common multiple of o(-6) and 7?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1651676, -6606779, -14865284, -26427191?\n\"Answer: -1651701*j**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.813 rounded to 1 decimal place?\nAnswer: 26.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62915 by 5.\nAnswer: 12583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n + 3. Is b(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 2340?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f + 21 = -2*x + 4, 47 = 2*f - 2*x + 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4706 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r = 30*r - 2. Calculate the least common multiple of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -17*s**2\/2 + 300. Let o(z) = 13*z. Calculate o(y(g)).\nAnswer: -221*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 31135979 and 31135983 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-4175317.\nAnswer: 167012.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2*g = -5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 22?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2529, 5041, 7557, 10089, 12649, 15249?\nAnswer: 17901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233759 is divided by 8567?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55855*-26.\nAnswer: -1452230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499 = -2*k - x, -4*k - 999 = 2*x + x. Let j = -175 - k. Suppose 2*n - j = -0*n. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -10. Let i be (-36)\/10 - (-2)\/(-5). What is the nearest to 0.1 in -3, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -5. Let n be (10\/(-4))\/(z\/14). Let y = -4 + n. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*q**2 + q - 6*q**2 - 146 - 148*q - 13*q**2 - 13*q**2.\nAnswer: -(q + 1)*(q + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4927, 4926, 4925, 4924, 4923?\n\"Answer: -k + 4928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 11*y + 30. Let s be g(13). Suppose -4*l = -s*h - 20, -4*l + 6*l + 2 = -4*h. Solve c - 40 = -l*c - 5*i, 3 = -c + 2*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, l: 2, o: 5}. What is prob of sequence os?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (-10)\/5*(-5 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52556096 divided by -2\nAnswer: -26278048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 939930.9ng in micrograms?\nAnswer: 939.9309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 - s + 17 + 10*s**2 + (-2 - 3 + 3)*(-2*s**2 - s + s) + (s + 0*s - 4*s)*(-4 + 4 + 2*s).\nAnswer: 8*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 202 and 31486?\nAnswer: 3180086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*4\/(-6)*-16. Solve -4*l - 3*x + b = 0, 3*l - x - 1 = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 76 = 104. Which is smaller: -10 or p?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 13*k**2. Let c(w) = -36*w**2 - 13*w. Let g(b) = -17*b**2 - 6*b. Let s(t) = 6*c(t) - 13*g(t). Determine q(s(i)).\nAnswer: 325*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1052996 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 - 16*i + 6909. Let x(z) = -7*z**2 + z + 14. Let m(q) = s(q) + 3*x(q). Find the first derivative of m(p) wrt p.\nAnswer: -32*p - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)\/(l**(2\/5)*l))**(-3\/19)*(l*l\/((((l*l**7*l)\/l)\/l)\/l*l)*l)\/l**(-5)*((l**(-4\/3)\/l)\/l)\/l**(1\/2) assuming l is positive.\nAnswer: l**(-1129\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15711 = 825*m - 4089 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 35542152 divided by 30456\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5136 + -16?\nAnswer: -5155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4345, 192, 2, 2\/3, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*o - 5, -4 = -4*o + 6*o. Let y = k + 1. Suppose y*l - 2*l = 52. Let h(f) = -f + 2. Let z(c) = -4*c + 9. Give l*h(q) + 6*z(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48044 less than 2?\nAnswer: -48042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/70 <= -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 5.6. Let n = -19 - -33. Let t = n + -9. Put 1, c, t in increasing order.\nAnswer: c, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - 1 - (297\/3 - -1). Let x = 99 + d. Calculate the smallest common multiple of 32 and x\/(-2) - 826\/(-28).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 5*r + 6. What is l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pompg. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 168658724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 171 + 171 + 42*a.\nAnswer: 3*a**2 + 42*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625659430 a multiple of 4241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 349*y - 344*y + 26, 0*y + y + 16 = -2*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-12)*484210\/41335?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-609)\/70)\/(-29)*(-10)\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 66. Let f(d) = 11*d - 29. Let j be f(3). Suppose -4*h - j*i = -5560004, g*i = -1 + 6. What is h rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tiii when four letters picked without replacement from {t: 3, i: 8}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 8*i**2 - 8*i + 7. Let u be q(7). Suppose 2*n + 5*v - 59 = u, -5*v + 9*v = -20. Calculate the highest common factor of 21 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.234*1.\nAnswer: -0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 8*k**2 - 8*k - 9. Let w be s(-7). Let p(h) = h**2 + 1. Let f be p(w). Suppose -4*i = -0*i - 52. Solve i + 2 = f*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2799936 rounded to 1 decimal place?\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 344125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1858)\/(4\/2092). Let c = l - -1871211. What is c rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + 3*o**4 + o**4 + (-2*o + 1 - 1)*(0 + 0 - o**3) + 3*o**4 + 0*o + 0*o + 3*o**4 + 2*o**4 - 2*o**4.\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 33831, 2, 4, 5, -3 in decreasing order.\nAnswer: 33831, 5, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517513?\nAnswer: 517513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 947.92076 to the nearest integer.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98065956 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) 14\/15 (c) -24 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -56*q - 32. Let n(u) = -4*u - 9*u + 3 + 18*u. Let p(r) = 3*g(r) + 32*n(r). Let z be p(-4). What is the greatest common divisor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = 21. Let a(g) = -2*g. Let s(c) = -2. Let n(h) = -h + 3. Let q(y) = 2*n(y) + 3*s(y). What is l*q(k) + 6*a(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4650 - -4655.97. Round c to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38428?\nAnswer: 2, 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 18, 0.1, -2\/3 in descending order.\nAnswer: 18, 0.2, 0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23585)\/1157 - 126\/(-6)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*m + 92*m + 84 = 0. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012122221022 + 1212?\nAnswer: -2012122212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4395 (base 12) to base 8.\nAnswer: 16441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7999*u - 375747. Give v(47).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14813123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 8*g + 14. Determine p(-12).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/((-2)\/8). Let l(u) = 4*u**2 - u + 2. Let v(k) = 17*k**2 - 4*k + 9. Let s be (-3 - -8)*9\/5. Let c(n) = s*l(n) - 2*v(n). Calculate c(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 456849 + 156993 = 0. Is ((-120)\/(-80))\/((-6)\/c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = k + 2, 2*r - 97*k + 93*k = -2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**2 + 3*x**2 + 1 - 1.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 280*n + 3 - 3 - 704*n**2 - 206*n**3 + 216*n**3.\nAnswer: 2*n*(n - 70)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -783 + 840. Which is smaller: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335452331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.716 less than 191?\nAnswer: 192.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/21 - ((-12)\/(-21) - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12455049 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -10. Suppose w = p*w + 4*i - 37, -2*w + 22 = -2*i. Solve -3 = -3*r - w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31332 divided by -373?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + ((-9414)\/(-1))\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k - 4*l = -5, -4*k + 2*l + 2 = 0. Differentiate -k - 2*f**4 + 2*f**4 - 2 - f**4 with respect to f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55, -138, -223, -310, -399, -490, -583?\n\"Answer: -y**2 - 80*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 2 + -1)**2*4 + -2 + sqrt(117) + (sqrt(117) + 3*(sqrt(117) + sqrt(117) + 1 - sqrt(117))**2 - sqrt(117)).\nAnswer: 45*sqrt(13) + 824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8202358 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 853000 rounded to the nearest ten thousand?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/3, 57.3, 2.331?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 997074120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/587?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*t - 321, -4*t = 5*g - 6*t - 360. What is the remainder when g is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -1, 1\/6, 29112, 4\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -747, -727, -691, -639, -571, -487?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6321 divided by -183?\nAnswer: -2107\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/116 and 37\/76.\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18672.0085 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + j - 10*j + 3*j - j + (4 - 1 - 4)*(4*j - 2*j + j) - 135*j - 107*j - 204*j as s + l*j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 + 236 = 4*i. Suppose -k - 12 = 5*a - i, 4*a - 31 = -5*k. Suppose -25 = -j + k*p, -3*p = 5*j - 15 - 20. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**48*(h*h**(2\/5)*h*h*h)\/h**19 assuming h is positive.\nAnswer: h**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*f**2 + 3*f**3 + 2*f**4 + 240*f**2 + 305*f**2 - 67*f**2 - 69*f**2 to the form r*f**3 + p*f**4 + n*f**2 + o + k*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/8))**(-20\/7) assuming t is positive.\nAnswer: t**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t = 10*t - 66 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9994 + -5917. What is the remainder when n is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/67))**(2\/29))**(-23\/3))**(-17) assuming k is positive.\nAnswer: k**(1564\/5829)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1679092968 rounded to five dps?\nAnswer: 0.16791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 4) to base 9.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -x + 3, 5 = 3*x + 5*r - 0. Suppose -x*t + 17 = g - 5, 0 = -g - t + 38. Let v = -2516 + 2522. What is the highest common factor of v and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -282*m + 473*m - 5730 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (165 - -1) + (10 - 3 - 5). Suppose 5*c + 3*w = 155, -j + 31 = -4*c - 5*w. Let g = 45 + c. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-2 + a + 2) - 2*a + a + 4*a + 2*a - 3 + 3.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**3\/3 + 7*p**2\/2 - 3*p - 1. Let y be d(7). Let j(z) = -z**3 - 3*z**2 - 3*z + 3. Let h be j(y). Solve 3*i = -0*i + h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-9)*-1)\/(36\/162). Suppose 3*b + 862 = c*m - 417, -4*b - 961 = -3*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.261363 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4384206347?\nAnswer: 17, 257894491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t**2 + t)*(7*t**3 - 5*t**3 + 6*t**2 - 2*t**2).\nAnswer: 2*t**5 + 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -14*k - 20. What is the tens digit of r(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 8:58 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 18086388 and 18086388 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131072120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-10320)\/(-45)*(-273)\/(-1456)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**26\/((y\/y**(-36))\/y))\/(y**(-25))**(-7))**(-41) assuming y is positive.\nAnswer: y**7585","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*p**2*t**2 + 676521*p**2 - 329*t**2 - 23*t - 147 wrt p.\nAnswer: -22*p*t**2 + 1353042*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**6\/120 + m**5\/40 - m**3\/12 + m**2\/8 + m - 4. Let n(p) be the first derivative of l(p). Factor n(h).\nAnswer: -(h - 1)**3*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 15*n + 9. Calculate the remainder when w(10) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -27 - 47 + 14 + 18*i - 14*i. Let d be g(15). Suppose 0 + 1\/3*a**3 + 0*a - 1\/3*a**4 + d*a**2 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*2\/((-1)\/(-1)). Let k(n) = 1. Let y(t) = 2*t**2 + 7*t + 8. Let a(v) = x*k(v) + y(v). Give a(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27769356 to the power of 1\/2, to the nearest integer?\nAnswer: 5270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**3 + 284*q**2 + 3038*q + 8. Calculate i(-31).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(2\/5))*x*x)**(-7\/6)\/((x**(-3)\/x)\/x**(1\/11)))**(-6) assuming x is positive.\nAnswer: x**(-349\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1756757 or 1756753?\nAnswer: 1756753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32510228)\/(-18) + 44\/198. Suppose -2*y + 11 = 1. Suppose 29206104 = 2*z - 5*p + a, -y*z + p = -68499996. What is z rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*i + 102288 - 96303 = 0 for i.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15455796 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001152390031 rounded to 6 decimal places?\nAnswer: -0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 81 in -17, 5, 2, -0.5, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 4*i + 24, 9 = 3*y - 5*i + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 15. Suppose -3*w = -4*b - 967, z*w + b = 3*w + 992. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (19\/57)\/(((-4)\/(-6))\/2). Solve 2*w - s + p = -2, w = -5*s + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130228 divided by 32557\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 28 (b) -0.3 (c) 2\/9 (d) -1862\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50.8 - -74. Let w = 23.19786 - g. What is w rounded to four decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, -4, -36, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 767, -14, -2, 13, 2, 3.\nAnswer: -14, -3, -2, 2, 3, 13, 767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -16. Suppose 5*m = -q*m + 10. Suppose -t - m*t = -36. Calculate the lowest common multiple of t and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -206, 2, -0.1, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2411 divided by -1?\nAnswer: 2411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 44. Let f = h - 6. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-three fifths of a tonne?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -886 - -889. Let i(o) = -o + 7. Let n be i(4). Let p be ((-2)\/2)\/((-1)\/n). Solve 0 = -3*a + g*d - 3, 3*a - p*d + 6 = -d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 39. List the prime factors of (-3 - 0) + (9 - s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 54 = -5*z + 14*w, 3*w = -4*z + 37. Suppose 34*r - 672 = z*r. Calculate the remainder when 93 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34411 or -30032?\nAnswer: -30032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210.5 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 6*g - 20 = 0. Solve 0 = -3*v + g*c - 6 - 2, 2*v + 5 = 3*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*t - 255, 350 = 5*t + 4*m - 71. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38178600.713 plus 41?\nAnswer: 38178641.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -13. Suppose -2*n + 3*d = -2*d - 22, 0 = -2*n + v*d + 10. Put n, -3, 3 in ascending order.\nAnswer: -3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 4. Let l be (9\/6)\/((-2)\/(-4)). Let i(t) = -3*t - 4*t - 4 + 5*t + l. What is i(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 7*q**2 - 10*q - 3. Let c be v(5). Let y be 1 + 1 + 1 + -3. Let j be 1 + y - (-2 + 1). Put 5, j, c in increasing order.\nAnswer: c, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4905 - 4894. Which is the third smallest value? (a) o (b) -0.05 (c) -1\/11 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*o**2 - 2*o + 63*o**2 - 40*o**2 to p*o**2 + d + l*o and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 34 = -5*r, 2*r = 4*i - 9 - 39. Let a = -594 + 2401\/4. Find the common denominator of a and (42\/(-8))\/((-6)\/i).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - 3\/25)*-9 and -13\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (28260\/(-7110))\/((-1)\/(-3) + 4\/6).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -297\/20?\nAnswer: -297\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*f - 2, -3 + 29 = -5*f + 4*a. Let b be -11*(-2 - f\/2). Let d be (-2)\/(-6) + b\/3. Solve r + 3 = d*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 73. Solve 0 = -2*j, -6*m - j = -m + w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, x: 12}. Give prob of picking 2 x.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3636962 - 1521760. Suppose 0 = 4*r - 2*h + 584675 - 2699871, -h + g = 4*r. Round r to the nearest ten thousand.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-196)\/(-10))\/(17\/1275) + 3.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.16 + 4.\nAnswer: 35.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-3))\/(3 - 1). Solve -2*u + r - 15 = b, 2*r + 15 = -5*u - 0*r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2120620 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 1, c: 1, i: 1, t: 1, p: 2}. Give prob of picking 1 i and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 16*u - 20. Let f(n) = n**3 - 2*n**2 - 118*n + 2. Let w be f(0). Let j(x) = -x + 1. Determine w*k(m) + 40*j(m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.43461*161\nAnswer: -69.97221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/8882 and -37\/22.\nAnswer: 97702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -227834728103.\nAnswer: 227834728108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37225*b + 37227*b - 8 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, -5, 4 in descending order.\nAnswer: 5, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 5*n**2\/2 - 3*n + 3. Calculate w(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000448463 to 7 dps.\nAnswer: -0.0004485","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45*z**2 - 524048*z - 271363212 wrt z?\nAnswer: 90*z - 524048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x = -628. Let p = x - 99. Suppose -5*b = 13 - p. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 w when three letters picked without replacement from wiwiw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + ((2*sqrt(125) - sqrt(125)) + 2 + sqrt(125))*-4) + 0)**2.\nAnswer: 11520*sqrt(5) + 288576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3325000 by 3325.\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1073\/2533?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - 87. Let s = n + 172.04. Is s at least 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 5*j + 64. Determine y(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-three fifths of a millimeter?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7126 is divided by 1088?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from rrktbcrkkcs?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -999.000001979 + 999. Round o to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**3 - 481*q**2 - 2542*q. Give z(-5).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 3*c - 7, -5*c + 25 = -41*y + 36*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -571*y + 3996. Let d be p(7). Let w(b) = b**3 - b**2 + b + 1. Let v(k) = -2*k**3 + 3*k**2 - 5*k - 7. Calculate d*v(a) - 5*w(a).\nAnswer: -3*a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4481489 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.87109 micrograms in tonnes?\nAnswer: 0.00000000009987109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*f = -544, -5*i + 2*f + 687 = -0*i. Let v = -62 + i. What is the highest common factor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23\/65 - 2\/13. Let w = -1933 + 5800\/3. Which is the third smallest value? (a) -4 (b) m (c) w (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64415070 + -15?\nAnswer: 64415053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 256279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -135, -546, -1239, -2220, -3495, -5070?\n\"Answer: -z**3 - 135*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**2\/2 - 8*l + 7. What is the remainder when s(-15) is divided by (-4)\/(-18) + 25\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(448)*-2 + sqrt(448) + sqrt(448)*1 + -5 + sqrt(448) + (-4*(sqrt(448)*-2 - sqrt(448)) - sqrt(448) - sqrt(448)*-2*-4))**2.\nAnswer: -320*sqrt(7) + 7193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0913 - 2.9087. Let d = 1.058 - 0.058. What is the fourth smallest value in 0.03, d, -3\/4, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -11*h + 3. Let y be (2884 + 1)\/(h + 0). Is (-1)\/(1\/y) + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*w + 51*w = 4*i + 16, -5*w - 11*i - 44 = 0. Solve 9*h + 6*h + 18*h = w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 2*c + 155. Let a be c\/(-11) + (100\/(-55))\/10. Solve j - 10 = 5*z - a, -3*z + 3*j = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2218.4 - 2225. Which is the closest to -0.1? (a) m (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + 123\/18 + -3 and 77\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -32.\nAnswer: 17\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 8*y - 4. Let u be m(7). Suppose b - u + 1 = 0. Solve -b*q + 3 - 5 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5372, 5375, 5380, 5387, 5396, 5407, 5420?\nAnswer: 5435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 1 - 1)*(22094*k - 25614*k + 37 - 37 - 53104*k).\nAnswer: -56624*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6284918921 to the nearest integer?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/5685 and 16\/27.\nAnswer: 51165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -249, -11, 49, 3.\nAnswer: -249, -11, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -112, -1\/3, 6\/289?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000038221514 rounded to 6 decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24\/41 - -728\/123. Factor 8\/3*h + o + 1\/3*h**2.\nAnswer: (h + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2132223 (base 4) to base 9.\nAnswer: 14833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1347651 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -824, -1.2, 1\/6, 0.041, 5\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3039 divided by 4966?\nAnswer: 3039\/4966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n + 18*n + 17*n to the form d*n + j and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.095 and 0.25?\nAnswer: 0.02375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000042303 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + n**2 - 7*n - 1. Let x be z(-3). Let d(s) = 2*s. Calculate d(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 8, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 805432\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4. Suppose 5*p - 54 = -3*w + n*p, 3*p = 2*w - 21. Let u(z) = z**3 + 8*z**2 - 460*z + 213. Let x be u(-26). Solve x*k - 2*k = -w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*f + 7, j + 0 - 2 = -f. Calculate the greatest common factor of 7 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1. Let g = 66 + -60. Let l(a) = a + 6. What is g*x(z) + l(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1363, 2708, 4047, 5386, 6731, 8088, 9463, 10862?\n\"Answer: k**3 - 9*k**2 + 1365*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -188*z + 16. Let v(s) = 938*s - 76. Give -14*n(o) - 3*v(o).\nAnswer: -182*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-6)*-81 + -5. Suppose -4*o + i = -2*m - 408, -5*o + m + 602 = 0. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: -203688 * 0.1\nAnswer: -20368.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 14, 9, 4, -1, -6?\n\"Answer: -5*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4714029813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -2*g + a, a + 16 = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5310332 to the nearest integer?\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4408483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 570 + -0.1.\nAnswer: 569.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 6 + 5*r + 8 to the form j + s*r and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -17*u + 6. Let a be g(-6). Suppose a = 3*x + x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 - 20 = 0. Let o be ((-2)\/i)\/((-3)\/(-9)). Let w = -71\/6 + 23\/2. Is w bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 237, -7, -3, -2\/43, 1\/2?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**7\/30 - 7*k**4\/24 + 12*k**2. Find the second derivative of u(w) wrt w.\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 8*h + 7. Let i be d(4). Let v = 68 - i. What is the remainder when v is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -3*c**3\/2 + c**2\/2 - c. Suppose 24*d - 4*d = 240. What is the lowest common multiple of d and y(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.3, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2367*n - 10455*n + 480362 + 54623 + 87791 = 0 for n.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11477*d + 11475*d + 21 - 18 to k*d + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 3483?\nAnswer: -3481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 293775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2223219588.\nAnswer: 2, 3, 41, 4518739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d - 1. Suppose 1 = -w + 2. Let p = w + 13. Calculate the remainder when o(-4) is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 69628, 139276, 208924, 278572?\n\"Answer: 69648*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12054743 is divided by 636?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4843, -2 in decreasing order.\nAnswer: 4843, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 446 = 4*i + 66, 4*m - 298 = -2*i. What is the third derivative of 2*c**3 - 93*c**2 - 40*c**2 + c**3 + m*c**5 - c**3 wrt c?\nAnswer: 4320*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -132, -134, -136, -138?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 246903?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24275, 12, -3.\nAnswer: -3, 12, 24275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 48.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 3135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -6, 3 in ascending order.\nAnswer: -6, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from {c: 2, t: 2, d: 4, b: 3, n: 1, p: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**5 + 130*s**4 + 405*s**3 - 820*s**2 - 1100*s = 0.\nAnswer: -22, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18514.\nAnswer: 2, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 divided by 174?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + 984?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2*y*z + 2*k**2*z**2 + k**2*z - 12*k*y**2*z**2 + 29*k*z**2 + 13*y**2 + z**2 with respect to y.\nAnswer: -2*k**2*z - 24*k*y*z**2 + 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/56 - 38\/(-14). Suppose -2*a + 5*a + d = -7, 3 = -f*d. List the prime factors of (24 + 0)*a\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**5\/20 - h**4\/4 - 7*h**3\/6 - 3*h**2\/2 + 9*h. Let d be b(6). List the prime factors of 6\/27 + 14665\/d.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.8 + -5. Let z = 0.2 - t. Let j = 1.054 - 0.054. Which is the nearest to j? (a) z (b) 2\/25 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/1546126 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3854741*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, z: 2, m: 2}. Give prob of sequence mm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1470?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + x + 8, 0 = -3*s - 2*s + 3*x + 14. Determine z, given that 0*z - 2*z**3 - z + s - 6*z**2 - 5*z - 3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/10)\/(-3 - 756\/(-270))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, 7, 52, 111, 190, 295, 432?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34859, -34865, -34871, -34877?\n\"Answer: -6*f - 34853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 371905843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 + (-102)\/(-63). Let x = -4.2 - -0.7. Let v = x + 2.5. Which is the closest to v? (a) w (b) 0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**3*v - 361*c**3 + 39*c**2*v**2 - c**2 - 5*v + 16 wrt v.\nAnswer: -4*c**3 + 78*c**2*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000210988397 rounded to seven decimal places?\nAnswer: 0.0000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 145\/55)*(72\/(-28))\/(-9). Sort -13\/2, 2, -1\/4, d.\nAnswer: -13\/2, -1\/4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 160 = -68. Let b = 20 - y. List the prime factors of 64 + b - (-1 - -2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3 + 12465*r**2 - 24927*r + 12463 = 0. What is r?\nAnswer: 1, 12463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.06 - -13.96. Let k = j - 12.8. What is the nearest to k in 4, -2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-3))*w\/(w**1\/w))\/(w\/(w\/((w**(2\/5)\/w)\/w*w)))**(-49) assuming w is positive.\nAnswer: w**(-127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + c - 1. Let q(j) = -5*j**2 - 20*j + 20. Calculate q(h) + 20*t(h).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7887, -15774, -23661?\n\"Answer: -7887*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpwprpppppprpwp. Give prob of picking 1 r and 1 p.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 373*w**2 + 124*w. Let l(p) = -1218*p**2. Calculate m(l(s)).\nAnswer: 553354452*s**4 - 151032*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-3 - (1 + -3))) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1705 - 1702. Solve 1 = -2*i - j*h - 7, -4*i + 16 = -2*h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3558323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 115\/50 + 24\/(-80). Let u be f\/(-13) - (747\/(-39) + 13). Solve -u*c - 8 = 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 51. Let h be i + -5 - (4 + -1). Suppose -3*p = 2*g + 12, -2*g + p + 1 = -3. Is h less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4186*d**4 - 327*d**5 + 3872*d**2 + 4186*d**4 - 3*d**6 + 6*d**6 wrt d.\nAnswer: 360*d**3 - 19620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 75*s - 74*s. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*q - q - 4*p, -4*q + 2*p = -34. Suppose 0 = q*f - 0*f + 30. Let i = 10 - 5. Sort f, 2, i in descending order.\nAnswer: i, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4.2 (b) -1 (c) -3\/5 (d) -3 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*v + 8. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -239260*f**2*m**5 + 15*f**2 + 2*f*m**2 + 3*f*m + 4*m**6 + 46*m + 1 wrt m?\nAnswer: -14355600*f**2*m**2 + 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.169036 litres to millilitres.\nAnswer: 2169.036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(((((c\/(c\/(c\/((c*c**(1\/9))\/c*c*c))*c))\/c)\/c*c)\/c)\/c)\/c*c**(-5))**(1\/48)*(c**(2\/3))**(2\/5)*(c**3\/c*c)\/(c**(-1\/4)\/c) assuming c is positive.\nAnswer: c**(9301\/2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 429109333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236956?\nAnswer: 2, 59239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105665*b**2*q*z**2 + 3*b**2*q*z - 684*b**2*q - 3*b**2*z - 2*b + 3*q*z**2 - 130*q*z - 5*z**3 wrt z?\nAnswer: -211330*b**2*q + 6*q - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/9 in 1.6, -1\/9, 5\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13\/((-455)\/20) - 1523\/(-7) is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -5. Suppose 0 = -w + 3*w. Suppose 0*h - 2*h = -4*l + 4, 2*l = 0. Which is the smallest value? (a) w (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*u**4 + 28*u**5 + 1 - 34*u**4 - 43*u + 6*u**5 wrt u.\nAnswer: 680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 816508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 614944123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 234*x - 117. List the prime factors of o(3).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5297, 21214, 47745, 84890, 132649, 191022, 260009?\nAnswer: 339610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (13 + 19 + 16)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, n: 1, l: 2, t: 4, w: 3}. Give prob of sequence wwww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*l)*(459*l - 41*l + 0*l) - l**2 - 3 + 3.\nAnswer: -837*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 450367369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*v - 4. Let r be 0 + 3 + 3\/v. Solve 0 = -0*j + r*j + 6, 4*j + 8 = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33749\/742 + -6\/371. What is the common denominator of 67\/6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/3421 + 54622\/194997. Let f be (2\/4)\/((-76)\/(-8)). Let g = s + f. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 62 = 54 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5514, 22094, 49722, 88398?\nAnswer: 138122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 881, -2\/3, -3, 0, -6 in descending order.\nAnswer: 881, 0, -2\/3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -370 at least -366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 0 - -22) + 0 + 3468 + -3470.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 1. Let s(p) be the third derivative of -15*p**4\/8 - 83*p**3\/6 + 102*p**2. Let r(k) = -s(k) + 4*y(k). Differentiate r(f) with respect to f.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 670\/5 - (1 - 2). Suppose -4*a - 3*j + 182 = 0, 0*j - 3*j = 3*a - h. What is the remainder when a is divided by (-5)\/(-5) - (-15 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*b + 5 = 0, 3*k + 7*b = 6*b - 5. What is the nearest to -0.1 in k, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1441*d**2*f**3*k + 73*d**2*f*k - 140*d**2*k + d*k + 26*f**4*k + 2*f**4 - 14*f**2*k wrt f?\nAnswer: 8646*d**2*k + 624*f*k + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 444875 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/18)\/((-14)\/(-21)). Let n = -46 - -234\/5. Suppose -6*w + 4 = -4*w. Sort w, n, l in decreasing order.\nAnswer: w, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 34*s - 60. Calculate the least common multiple of 468 and q(27).\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(2\/35)*(c**15\/c)\/c assuming c is positive.\nAnswer: c**(492\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 74*x - 1579. Let i be u(92). Calculate the greatest common divisor of i and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1911, 5, -1.\nAnswer: -1, 2, 5, 1911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.206567146 to 3 dps.\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = -13 + 13. Let g be 4\/9 - (-2)\/9. Let g*n**2 + 0 + m*n**3 - 4\/3*n**5 - 2*n**4 + 0*n = 0. Calculate n.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2102, 2600, 3428, 4586, 6074?\n\"Answer: 165*c**2 + 3*c + 1934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 - -79. Calculate the remainder when 45 is divided by 6\/(-14) - 1414\/j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/7)\/(21\/147)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4 + 2256*a**3 - 441792*a**2 + 6641664*a - 26001408 = 0.\nAnswer: 8, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/(-1) - (-1 + 1092\/(-3)).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {d: 5, q: 3, h: 1, m: 1, b: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3587*n - 43371 - 421821 = 886*n for n.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*p - 5 = 0, -2*m = 4*p - 0*p - 26. Suppose 101 = -54*q - 169. Let d = -13.3 + 11.3. Sort q, m, -3, d in descending order.\nAnswer: m, d, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15604916 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/(u*u**(-15)*u*u*u))\/u*u**(-2\/3)*u\/(((u*u**(-20))\/u)\/u*u)*u**1 assuming u is positive.\nAnswer: u**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42751 is divided by 14229?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -154 + 161\/5*t**5 + 0*t**4 + 0*t**2 + 82*t + 0*t**3. Differentiate g(w) with respect to w.\nAnswer: 644*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n + 3. What is the third smallest value in 0.3, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**14)\/(p*p**(-10)*p*p))\/(p**30\/p)**(3\/4) assuming p is positive.\nAnswer: p**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -19 + -9 + -751 + 665\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -373374833 and -9.\nAnswer: -373374842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 11 + (-40 - -26) - 5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (56 - (13 - (6 + 0 + 4)) - -1) + -2\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -h - 2*h. Let j = -245\/16 - -49\/16. Find the common denominator of (1023\/22)\/(h\/(-4)) and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**3\/3 - 3*s - 5. Let v be r(0). Let b be (-2)\/v + (-12)\/18. Solve -3*l - 2*l - 2*o - 35 = 0, 3*l - 3*o = b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 1. Suppose -3*d = -2 + 14. Suppose t - 6 = -3*a, -2*a + 3*t - 7*t + 4 = 0. Let n(f) = -a + 9*f + 27*f - 32*f. What is d*v(b) - 2*n(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.89 times 3.1526?\nAnswer: 5.958414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -37, -2, 0.1, 0.3, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -14295.\nAnswer: 14295.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + w**3 - 6*w**3 + 2*w**3 - 3*w**3 in the form k*w + c + v*w**3 + a*w**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 divided by -231?\nAnswer: 164\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:57 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -13 - -20) + 0 + -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -747 - -755. Put -4, r, 2 in descending order.\nAnswer: r, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/140 - 13*b**4\/28 + 19*b**3\/21 + b - 13. Solve t(j) = 0 for j.\nAnswer: 0, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w. Let c(s) = -490*s - 587*s + 176*s - 718*s. Calculate c(n(a)).\nAnswer: -3238*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 7. Suppose 0 = 58*s - 54*s + 8. Give o(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**5 + 2624*z**4 - 443256*z**3 + 4237760*z**2 - 10432900*z = 0.\nAnswer: 0, 5, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21922\/7 - -3110. Let z = o - -22. Let w = -873\/7 + 125. Do z and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o - 2*o**2 - 13*o - 3*o + 0*o + 31*o - 21*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 + (-196)\/(-40). Suppose 4*f - z = -f + 10, 2 = 4*f - 2*z. What is l in 1\/2 - 27\/2*l**f - o*l**2 + 3\/2*l = 0?\nAnswer: -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(18)*-2)\/(sqrt(18)\/sqrt(2)*-2 - sqrt(9)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 301962833 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 858, -8, -4226?\nAnswer: -4226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -56 - ((-4)\/18 + 34\/(-9)). Let o be z\/(-8) - (4 + 44\/(-8)). Suppose -4*r + 32 = 16. Solve 3*j + o + r = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334, 491, 914, 1735, 3086?\nAnswer: 5099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 2*z)*(z**3 - z + z) + (-z - 3 + 3)*(631*z + 6751 - 6751)*(2*z**2 - 2*z**2 + z**2).\nAnswer: -630*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*d - 2406, -5*d - 2406 = -l - l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 209 - 119. Let f(b) = 133*b - 124. What is the least common multiple of f(1) and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -829 = -w - 823 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from icicii.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10870 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2918 + 9174. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*p + 154*p = 711885. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3065\/9 - -341. Let x(w) = 44*w + 66. Let h be x(0). Let q be 4 + h\/(-48) + -3. Which is the third biggest value? (a) 0.1 (b) q (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*f + 358, -3*k - 11*f = -7*f + 537. Let u = 1102 - k. What are the prime factors of u?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 0. Let v = 873\/44 - -1429\/11. Let n = v - 149. Which is bigger: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 8820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161435*f + 551665*f + 379764*f.\nAnswer: 1092864*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 10*u**2 - u - 13. Let j be x(-10). What is the remainder when 38 + (4 + j - 3) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357865938 is divided by 446.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199303426?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85978 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446420.\nAnswer: 2, 5, 13, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5 = -2*s, 2*s - 1 = -0*s + g. What is the closest to s in 5, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 4) + 11 + -27 + 13\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -311 - -334. Solve -f = -5, 3*b + 5*f - c = -4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 15. Let k be z(8). Suppose g = -5*b + 6, 5*b - 5*g = -0*g. Let l = k + b. Calculate the greatest common divisor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -441.9, 2\/5, 2\/11 in decreasing order.\nAnswer: 2\/5, 2\/11, -441.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 82 or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 36 (c) 4565\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/6 (b) 2\/5 (c) 177\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 60283*z**3 + 60281*z**3 + 60285*z**3 - 180846*z**3 - 2*z**2.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/5, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2904639672 rounded to three decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 40. Let g = 36 - j. Let d be (-2 + -43)*(-3 + 2). What is the highest common divisor of d and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501372 = 4086*m + 4662*m + 816*m + 3630*m for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121*c**2 - 6589*c - 358801\/4.\nAnswer: -(22*c + 599)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*u**2 - 17*h**3*u - 10194*h**3 + 7*h**2 + 11252*u**2 - 17 wrt h.\nAnswer: -12*u**2 - 102*u - 61164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) 0 (b) -2 (c) -2\/5 (d) 168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 0 + 6 + -3. Let p = -0.9 + 1. What is the nearest to 1 in -4\/3, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c - 2*c**2 - 163137259 - 3*c + 163137259.\nAnswer: -2*c**2 - 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1015.11, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1648 - -1669. Calculate the remainder when 119 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1 + 3 - 1 + 6*j. Let b(f) = -f - 2. Let p be b(-3). What are the prime factors of l(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3526\/(-1290)*-15)\/(-3)\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 + 0.3. Suppose -8*o + 6*o = 0. Which is the second biggest value? (a) -2 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 108 + 0*t + 14*t**3 - 108.\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -0.4, 2 in ascending order.\nAnswer: -0.4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129.17 - -2.83. Let m = s - 135. Sort m, -5\/4, 0.4, -1 in decreasing order.\nAnswer: 0.4, -1, -5\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198688295 times -0.1?\nAnswer: -19868829.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*j - 4*j + 2*j)*(-288 + 1104 + 904 - 354) to the form y + s*j and give s.\nAnswer: 6830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, u: 2, l: 11}. Give prob of picking 2 u.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3185 and 8822905.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140519*r + 5848 = -140347*r for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -262\/3 - -88. Let j = 5.9 - 0.9. What is the closest to h in -0.2, -2\/5, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 83, 288, 649, 1178, 1887?\n\"Answer: 2*v**3 + 66*v**2 - 7*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/15, 0.403, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-42)\/(-42))\/(2\/(4464 - 2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117005?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15, -3 in ascending order.\nAnswer: -5, -3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -74690 less than -74721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12210520 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 253793230 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:10 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 27. Suppose w*y - 33 + 8 = 0. Suppose 0 = -y*j + 22 + 18. Solve -2*q - j = -0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*(5 + ((-132)\/(-8))\/(-3)). What is the hundreds digit of -9 + i + -1 - -210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (155 - (157 + -179))\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 83, 126, 153, 152?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2917*n + 14251. What is u(5)?\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1383*j - 1118. Give h(0).\nAnswer: -1118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11382, 1\/466, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 12:52 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122471.\nAnswer: 122471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5.81 * 0.051\nAnswer: -0.29631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 9*i**2 + 14*i. Let m(k) = k**3 + 8*k**2 - 13*k + 2. Let h(t) = 5*g(t) + 6*m(t). Is h(6) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/2, 2\/7, -32?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 31*b**2 + 6 + 8*b**2 - 8 + 0*b + 2*b. What is the tens digit of l(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 8292447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594272.\nAnswer: 2, 3, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -b1b8d8?\nAnswer: -b1b8dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278712 and 1270080.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/13)*h*h**3*h)**(2\/41)\/(h*h\/h**(-2\/5)*h*h**(1\/4))**18 assuming h is positive.\nAnswer: h**(-348601\/5330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 67*z - 597. Let i be y(9). Solve 5*u = i*u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(24\/7)\/((f**(2\/7)*f*f)\/f*f**(-2\/7)) assuming f is positive.\nAnswer: 1\/f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 9*z - 9. Let v(n) = 14*n - 12. Let q(w) = -3*g(w) + 2*v(w). Let i(b) = 3*b + 7. Let r = 5 - -10. Suppose 2*u + 3*u - r = 0. Give u*i(t) - 7*q(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**24\/z*z**28)\/((z*(z*z*z*z**(-1\/7))\/z)\/z)**10 assuming z is positive.\nAnswer: z**(227\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33292354 rounded to three dps?\nAnswer: -0.333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100011111001010110 (base 2) to base 5.\nAnswer: 101043144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7 and 13611276.7396.\nAnswer: 13611283.7396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5281 rounded to 2 decimal places?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*r - 1 = 0, -17*r + 5 = -16*r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*q + 414 = 0, 3*z + 3*q + 0*q = 309. What is the highest common divisor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*s**2 - 62*s**2 + 16 - 225*s**2.\nAnswer: -251*s**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -6*w + 480. Let u be (-1*3)\/(18\/(-120)). Calculate the highest common divisor of u and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 31. Suppose 0 = -4*y - n + 54. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -287 (b) 0.5 (c) -1 (d) 1.5 (e) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + sqrt(13) + 2*sqrt(13))) + 4 + (sqrt(13) - (sqrt(13) + -2 + sqrt(468)))**2.\nAnswer: -27*sqrt(13) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9472 and 38850.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(7) + 5 + sqrt(14)\/(-2*sqrt(2)))**2.\nAnswer: -15*sqrt(7) + 163\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/5? (a) 8\/7 (b) 0 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(-1 + 2 + 2)*(197 + 371 + 245)*(0*x**2 + 4*x**2 - 3*x**2) to the form q*x + y + f*x**2 and give f.\nAnswer: 4878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {f: 1, b: 2, z: 3, k: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p**2 + 9*p**2 - p**2. Let b(v) be the first derivative of 4*v**2 - 5 - 3*v**2 + v**2. Calculate b(l(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/(a**(-3\/2)\/a))\/(a**(-5)\/(a\/a**1))*a**(-5\/6)*a*a**(-1\/3)*a*((a**2*a)\/a)\/(a\/a**1) assuming a is positive.\nAnswer: a**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7560*s = -5783*s + 44425 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-28)\/8 - 0). Suppose 0 = p*o - 78 + 22. Solve -5*s + s - z = o, -5*z - 23 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8883094373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + c - 247 + 246 = 0, -26 = 5*g + 2*c - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 6*g**2 - 7*g - 12. Determine s(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-5 + -1 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10073593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (-3 + 1 + sqrt(128)))*-6 - ((sqrt(50) - (sqrt(450) + -5)) + sqrt(150)\/sqrt(3) + -5))**2*3.\nAnswer: -360*sqrt(2) + 582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94162591145\/4219492866 + 2\/24249959. Let b = -16\/87 + r. Let f = -22 - b. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.62385 centuries to millennia.\nAnswer: 2.362385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -fb (base 16) to base 5.\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -38052014.\nAnswer: -19026007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)*m)**(-39))**15*(m**(-4)*m\/(((((m**(-3\/2)*m)\/m)\/m)\/m)\/m))\/(m**(-5\/3)\/m*m**(2\/5)) assuming m is positive.\nAnswer: m**(35213\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)\/(sqrt(1100) - (sqrt(1100) + sqrt(1100)*2)))**2 + -3 + (1*sqrt(1331) + -1)**2*6)*-3*-6.\nAnswer: -2376*sqrt(11) + 28760499\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2397610\/13 - 185271. Let l be (-2516)\/(-3) - 1\/(-3). Let y = l + z. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-98))\/((-19)\/(-7))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014449 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine fifths of a millennium?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -22, -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 23. Suppose 0*n + 2*n = -j - 8, -3*n - d = 2*j. Let r(c) = -2*c - 7. Let x be r(n). Solve -x*z - 3 + 15 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(126) + -2*1*sqrt(126)))\/(sqrt(84)\/(-1*sqrt(12)) - (sqrt(7) + (sqrt(7) - (2*sqrt(28))\/sqrt(4))))*5.\nAnswer: 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s + s - 4*s)*(3*s + s - 2*s) + (2 - 2 - s)*(5 + 1 + 82*s - 7))*(3*s - 13 + 13).\nAnswer: -252*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338 and 7943.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**3 + 2*j**2 + 2*j + 4. Let m(s) = -9*s**3 - 3*s**2 - 4*s - 7. Let b(l) = -7*f(l) - 4*m(l). What is the remainder when 44 is divided by b(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5 + 10701867*b**4 + 9544147054329*b**3 - 28632505374219*b**2 + 28632526777968*b - 9544179159948.\nAnswer: 3*(b - 1)**3*(b + 1783646)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7353598 milliseconds to seconds.\nAnswer: 0.0007353598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2056 + -2012. Put 1\/4, -1\/2, y in decreasing order.\nAnswer: y, 1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**2 + 16*t + 9. Let m be j(8). Is 13 a factor of m + (2 - 3) - -27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14*(-2)\/(-3 + 1). Let o(r) = r + c - 3*r - 8 + 9. Let h be o(10). Put 5, h, -1 in ascending order.\nAnswer: h, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 - (-94 - (157 - 373)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 555296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134924 and 1?\nAnswer: 134924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 4:23 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 252*j**2 - 121*j + 54. Is 15 a factor of y(-126)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 19*m**2 - 20*m + 33. Let s be y(18). Let f(i) = -7*i + 3*i - 3 + 7 - 3. What is the tens digit of f(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 69\/10 (b) -3 (c) -3\/4 (d) -10 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 divided by 100.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4390906 is divided by 14028.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 8674766*m + 18812891288689.\nAnswer: (m - 4337383)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 612 and 160524.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1656 + 1662. What is the biggest value in -2, q, -1\/5, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 27. Suppose 7*z - 27 = m*z. What is the greatest common factor of z and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10158367 and 680.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 3289394?\nAnswer: -3289391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u + 8. Let r = -1.07 + -1.93. Which is the smallest value? (a) u (b) r (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q*q**2)\/(q**11*q**(-10)) assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/((-5)\/(-2)). Sort 1, 5, w in descending order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -523 * -2694.\nAnswer: 1408962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128978797*a*q - 7*q + 9436156 with respect to a.\nAnswer: -128978797*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1319 or 1320?\nAnswer: 1319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234.15 - -1.\nAnswer: -233.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6925 or -6924?\nAnswer: -6924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, i: 9, m: 5, y: 2}. Give prob of picking 2 i and 2 u.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.2. Let i(g) = 8*g - 41. Let w(k) = -7*k + 40. Let p(b) = 2*i(b) + 3*w(b). Let d be p(8). What is the third biggest value in -2\/3, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - 111*s + 60*s - 8*s**4 - 2*s**2 + 0*s**4 + 2*s**4 + 0*s**4 + (s**3 - 4 + 4)*(-4*s - s + 4*s).\nAnswer: -7*s**4 - s**2 - 51*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7385*q = 206724 - 36869 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110013 + -11?\nAnswer: 110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 5 - 7 + 4*x to d + q*x and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i = 37*i + 968. Calculate the remainder when i is divided by 63.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5*m - 45 = 0, 10*j = 14*j + 2*m - 28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 5) in base 8?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70481607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 107.\nAnswer: -85.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 18. Suppose 4*u = -0*u + 2*h + 132, -2*u + l*h = -50. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4122 is divided by 163.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:13 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*f - 37, 3*f + 5*m - 31 = -4. Suppose 2*h + 2*z = 16, -4*h + 5*z - 14 + 1 = 0. Calculate the remainder when f is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 6. Let p be t(5). What is the derivative of -32*j**3 - 28*j**3 - 69 + p*j**3 wrt j?\nAnswer: -132*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8844, 18343, 27840, 37335, 46828, 56319, 65808?\nAnswer: 75295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 2*d - 146. What are the prime factors of -14*(0 + (-2)\/d)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 19.47\nAnswer: 19.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-four fifths of a decade?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 39*d + 4. Calculate h(-2).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - -12330021?\nAnswer: 12330112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4))**(7\/10)*(s\/(s*s\/((s\/(s**(-1)\/s))\/s)))**50 assuming s is positive.\nAnswer: s**(2007\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**4 + 698*w**3 + 122500 + 59003*w**2 - 36113*w**2 + 67251*w**2 + 5*w**4 - 244300*w + 30960*w**2 = 0.\nAnswer: -350, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * 248.728.\nAnswer: 373.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 20, -4, -74, -2, 5 in descending order.\nAnswer: 20, 10, 5, -2, -4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + (-5 - 11) + -44 + 65?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3950215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76201556.\nAnswer: 2, 19050389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*u + 53 + 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = -26*i + 1043. What are the prime factors of i?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 64423, 128874, 193365, 257914, 322539?\n\"Answer: 3*v**3 + 2*v**2 + 64424*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011001101100011000001 (base 2) in base 4?\nAnswer: 1003031203001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 57 = 25*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 185 = 179. Solve 3*f - 3 = z*r + 6, -4*r - 20 = 4*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (8\/(-2) - (-66)\/3)*32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4 = 0, 126 = -203159*k + 203155*k + 13*a for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4272 - 4199.52. Let t = -0.98 + a. What is t rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 36, 5284 in increasing order.\nAnswer: 1, 36, 5284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:56 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1555935575 to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 332 - 273*a**3 - 22 - 627 - 80 - 934 wrt a?\nAnswer: -819*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/596 and -53\/14.\nAnswer: 4172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f**2 + 124*f - 63. Let a be j(20). Is -785 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*t**3 + 22*t**3 - 93*t**2 + 3*t**4 + 92*t**2 wrt t?\nAnswer: 72*t + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 10, 0.1, -0.0454, 3\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57742 is divided by 1247?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*32322.\nAnswer: -16161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 4*x + 15. Suppose f = -0*f + x. Suppose -5*g = 4*n - f, 4*g - n = 7*g - 6. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131796*a**2*h**3*u**2 + 19*a*h**3*u + 2*a*h**2*u**2 - 78*a*u**2 - 3*h**3 + h**2*u wrt a.\nAnswer: -263592*h**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 108901, 217811, 326721?\n\"Answer: 108910*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-38)*-2 + 1595\/10640 and 81\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675*q**5 + 4845390*q**4 - 1722725*q**3 + 35890*q**2 = 0. What is q?\nAnswer: 0, 1\/45, 1\/3, 7178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4981169 days?\nAnswer: 717.288336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63361679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -41. What is the remainder when 89 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Calculate the least common multiple of x and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -4. Let q = -132 + 138. Let x = s - q. What is the second smallest value in -3, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -139, -193, -249, -307, -367?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 2 - q**2 + q**2)*(-1 + q + 1).\nAnswer: q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2499 and 1470.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -46695 divided by -9339?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3610417*f**2\/2 - f\/3.\nAnswer: -f*(10831251*f + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55284 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1009\/4 - -252. Which is the closest to 0? (a) l (b) 3 (c) 4 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3584 - -3586. Sort 11, -5, n, 0, 0.02.\nAnswer: -5, 0, 0.02, n, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkdkddkk. Give prob of sequence kkdk.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1734, -1740, -1758, -1794, -1854, -1944?\n\"Answer: -h**3 + h - 1734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*d**(-11)*(d*d**(-2\/17)\/d)\/d*d**(-26))**(-2\/3) assuming d is positive.\nAnswer: d**(1228\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 2*r**2 - 4*r + 1. Let f(k) = k**2. Suppose 23 - 3 = -5*b. Calculate the least common multiple of f(b) and u(-3).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4871 + 5348. Calculate the least common multiple of g and 265.\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 2. Calculate a(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-98))\/((-1)\/1))\/(178*34\/12104)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 - -5695564?\nAnswer: 5695587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q + 0 + 0)*(0 - 2 - 2) + 54*q + 36*q + 41*q)*(3*q - 2*q**4 - 3*q - q**4 + 2*q**4 + q**4 + (-q - 3*q + 2*q)*(-2*q + 2*q**3 + 2*q)).\nAnswer: -492*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from jjljllplljjlclpljl.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 - 28*v**2 - 26*v + 7. Let m be j(-13). Solve -m*n + 3*n - 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 34*u + 5390 = 0. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238909811?\nAnswer: 7, 34129973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 6*d - 48. Suppose 0 = 3*v + d, -66 = 3*k + 3*v + 27. Let u be 4\/(-42)*k*7. Solve 0 = 3*g + 2*b + u, 2 = 3*g + b + 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 + 0.34\nAnswer: 48.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + i = 2, -3*o - o = -5*i + 24. Put 5, 1, o in ascending order.\nAnswer: o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y. Suppose -i - i - 2 = y. What is the units digit of i + 1 + 1 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 180, 387, 612, 861, 1140, 1455, 1812, 2217?\n\"Answer: z**3 + 3*z**2 + 191*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -4.6\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 11:04 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 44604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/30 + 11*j**5\/15 + 4*j**4 - 24*j**3 + 3*j**2. Solve x(o) = 0 for o.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13860.7 - -13860. Which is the third smallest value? (a) -0.72 (b) -2\/3 (c) m (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 3 - 33 = -1 + 45 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -186.\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -3*r**4\/4 - 240*r**3 - 42471*r**2\/2 + 87846*r - 2983. Factor h(w).\nAnswer: -3*(w - 2)*(w + 121)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/9 - 0)*30. Let n = -10 + z. What is the remainder when 39 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2200131 - 0?\nAnswer: -2200131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 12 + 8 = 3*f, n = -5*f + 20. Suppose 5*z - 9 + 4 = 0. Let k(w) = 4 + z + f*w - 6 + 3. Let h(u) = -51*u - 21. Give -2*h(x) - 21*k(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19272 - -19276. Solve -15*g = d*p - 10*g, 3*p + g = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -434 + 128. Let v = d + 133. Suppose 2*c + 3*y - 92 = 0, -2*y + 0*y - v = -4*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 182*(96\/144*15\/8)\/((-345)\/138)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437, 870, 1301, 1736, 2181, 2642, 3125, 3636?\nAnswer: 4181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 800023120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*t**2 + 2 + (2*t - 3*t**2 - 2*t)*(2 + 2 + 0).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/40 and (-33789)\/(-8490) + -8*(-15)\/(-30).\nAnswer: 11320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -9*g + 21 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c**3 + c - 1. Determine j(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -90645222 + -0.5\nAnswer: -90645222.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j - 1. Let q(t) = 0*t + 4*t - 3*t. Determine h(f) - 4*q(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-18 - 9 - -11 - -141) - 9\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, d: 3, k: 9, c: 2, t: 1}. Give prob of sequence cuc.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-1 - -1)) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - l + 0*l = -621, 5*v - l - 783 = 0. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**4 + 324*n**3 - 2520*n**2 - 38288*n - 63840 = 0.\nAnswer: -6, -2, 19, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v**2 - v)*(0*v - v - 23*v)*(37*v - 31*v + 10*v).\nAnswer: -768*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 12*y**2 + 0*y**2 + 6*y**2 + y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.39 take away -21?\nAnswer: 23.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-42)\/((-1)\/1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.853 - 0.047. Let b = d - -5. What is b rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-25) - 938\/(-35). Solve -u - 37*k - 17*k**2 - 38*k**2 - 14 + 5*k**4 - 53*k = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 4*t**2 - t + 2. Let d be s(-4). Suppose -d*h + 290 = -h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3 + 5. Suppose 0 = 2*o + f - h - 1, o = -3*f - 6. Calculate the remainder when (-46)\/(-14) - 2\/7 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + 15 + -39 + -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.6601308 minutes?\nAnswer: 0.01100218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p - p)*(626 + 902 + 500).\nAnswer: -4056*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + 2 + -22 + -9?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) - (sqrt(7) + 0 + sqrt(7))*4) + (sqrt(7) + -3)*3)*4 + -5 + 5.\nAnswer: -36 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.058 (b) -2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198*(-11)\/(-26 - -125).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 2. Let p(u) = 63*u + 11. Give 5*i(f) + p(f).\nAnswer: 68*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 32 - (2 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/126*77\/(-132))\/((-1)\/183).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 5*s**2 + 5*s - 12. Let v be l(6). Calculate the common denominator of (60\/(-32))\/(1\/(-12)) and 380\/(-18) + 4\/v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3288, -6575, -9862, -13149, -16436, -19723?\nAnswer: -23010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -164415, -657656, -1479725, -2630622, -4110347, -5918900, -8056281?\n\"Answer: -164414*p**2 + p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*g + 3. Let i(f) = -g - f + 3*f + f - 2. Let x be i(2). Solve -x*z - l = -9, -4*l + 3 = -1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3602, 7217, 10826, 14429, 18026, 21617, 25202?\nAnswer: 28781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -2*c - 5*j, -7*j - 12 = -11*j. Solve -15 = 35*n - c*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -232. Suppose 0 = -2*o - 3*r + 82, -4*r = -o - 3*o + u. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 + 155 = 2*f. Is 44 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 231 + 2a05?\nAnswer: 3136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (12\/20*709)\/(8\/(-320)*-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d + 4. Let x be u(3). Let s = 0.04 - -0.06. Let k = 4.1 - s. Which is the closest to -0.1? (a) k (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 91093486 and -11.\nAnswer: 91093475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 3:16 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-5)\/4*1)\/(1043\/(-3576))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 2*i - 5. Let n be k(-2). Find the common denominator of -15\/7 and 1035\/760 - ((-45)\/(-40))\/n.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*c, 1 = 33*o - 35*o + 4*c - c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035969 rounded to six decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-15))\/(-2) - (-8)\/(-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -31?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276857 and 889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 6*c + 2*c**2 - 18*c + 15*c + (-5 + 5 - 7)*(-2*c**2 - c**2 + 0*c**2).\nAnswer: 23*c**2 + 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 4*g + 0*g - 2*g - 1 + 1 + (-4*g + 5*g - 3*g)*(-2 - 2 + 6) - g + 6*g - 3*g)*(10 - 16 + 35).\nAnswer: -87*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7346936839 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.446 + -263.054. What is y rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 5:34 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**6\/360 - 7*n**3\/3 + 8. Let f(m) be the third derivative of d(m). Let s(a) = -5*a**2. What is s(f(r))?\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (287\/(-2))\/((4\/8)\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671522551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -379 - -576. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4*y + 27 = 0, 3 = 3*h - 2128*y + 2127*y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85118306 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-12)\/147)\/(92\/(-644)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/2654055 and -52\/530811.\nAnswer: 2654055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p = 35*p + c + 8, -3*p - 2*c - 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzoopjpuzzzbbozoz. What is prob of sequence ub?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -15. Let p = 1 + -1. Let k = l - p. Solve 0*c + 8 = -k*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80946001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1234, -2413, -4374, -7117, -10642, -14949, -20038?\nAnswer: -25909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/2496 and 35\/15535936?\nAnswer: 46607808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 7*b - 5*b - 916, 2*c + b - 920 = 0. What is the smallest common multiple of 39 and c?\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + 12*h. Let j(w) be the second derivative of w**3\/6 - 88*w. Determine -60*j(m) + 5*k(m).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/836 + 8\/(-88))*36\/(-45).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1106151 centuries in decades?\nAnswer: 1.106151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 81*u**2 + 17260*u + 416. Determine n(97).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -7*a - 15. Suppose -a*g = -151360964 - 81818341. Let t = g - 15235861. What is t rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - (-2 + -41 - (-8 + -12))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -120. Suppose -f*a + 64*a - 25 = 0. Solve 7*l = a*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 = 2. Let p(l) be the first derivative of -5*l**3\/3 - 4*l**2 + 8*l + 3. Let f(k) = 2*k**2 + 3*k - 3. What is q*p(r) + 8*f(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r. Let j(p) = -p**2 - 6*p. Let a(d) = 16*d**2 + 18*d. Let t(y) = -a(y) - 3*j(y). Calculate k(t(b)).\nAnswer: 78*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(572\/(-990)) - 0\/(-34)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2089 take away 83?\nAnswer: -82.7911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-126)*6\/(-20)*-2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - 1760 = -127*i. Calculate the remainder when i is divided by ((-20)\/(-6))\/(6\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 483*u**4\/8 - 784*u**2. Let c(r) = -2*r**2. What is c(d(m))?\nAnswer: -4199202*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)*j*j**0*(j**1)**(-21\/8))**(-2\/161))**30 assuming j is positive.\nAnswer: j**(45\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 197532 divided by 65844\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 2485320 = 20*b. Suppose -6*q - 1922 = -b. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14064, 14048, 14036, 14028, 14024, 14024, 14028?\n\"Answer: 2*o**2 - 22*o + 14084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12685 + -12668. Solve -m - r + 16 = p, m + 2*r = -5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**3 + 16*a**2 - 6*a + 1. Let g(q) = -q**3 - 3*q**2 + q. Let v(m) = -11*g(m) - 2*t(m). Give v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/39)\/(((-18)\/135)\/1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30783.412*-3\nAnswer: 92350.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - n - 4)*(n**3 + 0*n + 0*n) + 2*n**3 - 607*n**4 + 606*n**4 + 287 + 0*n**3.\nAnswer: -2*n**4 + 2*n**3 + 287","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - n - 7 = 0, 38 - 14 = 4*c - 3*n. Suppose 3*z - 5*a = -0*z - 2, -c*z = -4*a + 1. Solve u + u + 4*x = 22, u - 2*x + z = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-170)\/(-51)*(-8)\/60*9. What is the closest to -0.3 in 4\/9, h, 0.1, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10 = -10. Suppose 0*d - 5*d + j*r + 824 = 0, r = -d + 163. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 > 9.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*g + 29*g = 186 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18170978 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/2 - -9\/10. Let y be ((-588)\/77)\/14 + (-80)\/(-110). Sort f, 0.15, y in descending order.\nAnswer: f, y, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-7 + 9)) + 35 + -26?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-6))**(-25)*(k\/k**(-2))\/k**(-5))**41 assuming k is positive.\nAnswer: k**(-6847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**2 - 7*f + 6 = 0?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 5:47 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2379 or -2382?\nAnswer: -2379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5*w - 291, w + 3*w + 375 = -5*q. Let i = -2146 - -2066. Does i = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1290*z**6 - 4*z**2 - 164*z.\nAnswer: 154800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6*o. Suppose o = -5*d + 4*v + 210, 4*d + v = 141 + 27. Let g be (-3)\/(-1 - 0) - -18. What is the greatest common divisor of d and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 = -3*j + 11, -c = 3*j - 8. Suppose 2*d - l + 73 = 0, -3*d = -c*d + 4*l + 41. Let g = 86 + d. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + y - 5. Let w(j) = -j**2 - 3*j. Suppose -4*o - 17 + 1 = 0. Let x be w(o). What is c(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4336971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -z - 3*z - 1548, 0 = -5*h + 4*z - 2548. Let k = h + 525. What is the greatest common divisor of k and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x. Let t(y) be the third derivative of -19*y**8\/20160 - 3*y**5\/10 + 36*y**2. Let s(q) be the third derivative of t(q). Give i(s(w)).\nAnswer: 38*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2276869 divided by -2276869?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 882778016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a6927 (base 12) in base 15?\nAnswer: -1dd82a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)\/v**(-1\/2))\/(v**(3\/11)*(v*v**(-4))\/v))**(-13\/2) assuming v is positive.\nAnswer: v**(-637\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1055 - 17?\nAnswer: -106c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 3. Let a be m(-3). Suppose a*g - 2 = 4. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -173*m**2. Let t(f) be the first derivative of -f**2\/2 + 64. Determine t(l(g)).\nAnswer: 173*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 56 = i + 59, -j + 3*i = -15. Calculate the remainder when (-6)\/3 + (j - -7) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*n - 106, -2*j + 74 = 3*n - n. Let a be n\/(-6)*24\/(-8). Solve -q = 2*m - 0*q - 7, 2*q = -5*m + a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/11))**(-3\/25)*h**(1\/32)*h**(23\/4) assuming h is positive.\nAnswer: h**(50779\/8800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h - 8. Suppose -h + 1 = -m - 2*g, m - 3 = -3*g. Solve 0 = w + m + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8660631337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49bd88 (base 15) in base 5?\nAnswer: 1401031203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 5*a - 3. Let j be y(-3). Suppose l = v, -3*l - v - 74 = -82. Suppose -3*b - 2*u = -l*b - 34, -3*b - j*u = -96. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 419*v**3 + 438*v**3 + 186 - 92 - 101 to o + d*v**3 + t*v**2 + k*v and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 405294283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-5 + 11 - 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1140124 (base 5) to base 6\nAnswer: 242321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7924548 divided by -3.\nAnswer: -2641516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12742.4ml?\nAnswer: 12.7424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i**2 - 33618*i - 8404.\nAnswer: -2*(i + 4202)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 711 from -7712089.\nAnswer: -7712800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 + 661*v**2 + 682*v + 116158. What is c(-330)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*19\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*c - 1 - 59*c - 11*c - 30*c - 45*c.\nAnswer: -123*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1786 and 6422.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*q + 3196 - 508 = -46*q + 12*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - 1.3. Let r = 2.1 + v. Which is the biggest value? (a) -2\/13 (b) -0.14 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from oooooooooooooko?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67144 and 48069.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 10*l**2 - 5*l + 8. Suppose 0*s + 36 = 4*s. What is the tens digit of d(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 83, -4 in descending order.\nAnswer: 83, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/1*2\/(-4)*92\/(-276)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/20)\/3*112\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25482 + 3031?\nAnswer: -22451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -518*i + 4606. Give n(9).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 4*o + 4*o + 1 - 3. Let u(n) = n - 1. Let p(c) = -c + 4. Let b be p(7). What is b*u(w) + 2*s(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 314, 278, -1168, -5158, -12826, -25306, -43732, -69238?\n\"Answer: -189*m**3 + 429*m**2 + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 0*r - 1\/6*r**3 + 55 - 2*r**2 - 1\/24*r**4 + 2\/15*r**5. Give o(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155*22\/44*((-18)\/(-10))\/3*2?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -3.8. Is p less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44682*c**3 + 51083*c**2.\nAnswer: 268092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1692285*f**2 + 846134*f**2 + 846146*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -48913358 divided by -3762566?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -6. Let t(w) = -w + 8. What is the least common multiple of t(b) and (-2)\/4 + 9\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*r - 13*r - 2496. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 5*h**2 + 6*h. Let g(n) = -n + 1. Let o be g(-5). Let l be f(o). Suppose l = 2*q + 1 - 7. Calculate the least common multiple of q and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 25*p - 695. What is x(-38)?\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-711)\/(-48)*-2*-4. Let i = 119 - a. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1598322973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 131. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -0.037, -3.\nAnswer: -3, -5\/3, -0.037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*v - 2 + 1, 5*b - 25 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*f + 21, i = 3*f + 4 + 10. Suppose 325 = -2*c - 3*n - 27, -2*c - i*n = 344. Does 13 divide (c\/(-4))\/(3\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {v: 8, z: 2, s: 3, l: 2, r: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 3*a**2 - a - 2. Let c be v(2). Let s = c - -1. Let n be 36\/s*5\/10. Calculate the greatest common factor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000708239 rounded to seven dps?\nAnswer: 0.0000708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13071837?\nAnswer: 3, 29, 347, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*z**2 - 5*z**3 - 4*z**3 - 2*z + 3*z**2 - 5*z**2 to the form x*z**2 + n + t*z**3 + k*z and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2\/13 (c) -45 (d) 1\/5 (e) 3 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k = 128 + 184 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 381410?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*b - 128 - 31. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0480282456 to four decimal places.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -15, 1106?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 5*k + 3. Let s be q(-5). Let x = 4.68 + -1.44. Let r = 0.24 - x. Which is the second smallest value? (a) -0.4 (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*j**3 + 3*j**3 - 6*j**2 - 9*j**2 wrt j.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 divided by 5?\nAnswer: -91\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/4071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-3\/4))\/i)**(-7\/13)\/(i**3*i)**29 assuming i is positive.\nAnswer: i**(-6053\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 12*p - 7. Suppose -3*z + 126 = j + 2*j, -2*z + j = -96. What is the remainder when z is divided by g(8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -19267, 0.2, -2\/15, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1+-416688439\nAnswer: -416688438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, 33, 153, 355, 645, 1029, 1513, 2103?\n\"Answer: d**3 + 32*d**2 - 59*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 12*c**2 - 33*c + 104. Let d be i(11). Let f = d + -1159. Let h be 2\/9 + 1832\/18. Calculate the highest common divisor of f and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -5, -40659 in descending order.\nAnswer: 30, -5, -40659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9301 < -9301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2003020 - 2003020 + 729*x**2.\nAnswer: 729*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhccc. What is prob of picking 2 h and 1 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 4:16 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 - 150*x**3 - 1735*x**2 + 42900*x + 408980.\nAnswer: 5*(x - 26)**2*(x + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24619 - 161?\nAnswer: 24458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 10*z + 6. Let i be h(-9). Let v be 8\/1*(470\/4)\/5. Suppose 6*r - v = 82. Calculate the greatest common factor of r and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93652672.\nAnswer: 2, 19, 77017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4882207, 4882215, 4882223?\n\"Answer: 8*t + 4882199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 11:57 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h - 1. Let l(t) = -3*t - 25. Let p be l(-9). Calculate w(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36693724 divided by -18346862.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + 4*m**3 + 0*m**3 - 4*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 4)*(6*h - h - 4*h) + 16*h - 14 + 15 + 6*h - 2*h + 2*h - 5*h)*(-h + 0*h + 0*h).\nAnswer: -16*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 2. Let j be n(-2). Let v be 3\/5 + j\/10. Which is greater: v or -2\/21?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**2 - 38*o + 14. Calculate n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310\/24 + (2 - (-9)\/(-4)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-50))\/(32\/(-210) + (-65)\/1365). Which is the closest to x? (a) 13 (b) 0.06 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 23*w**2 + w - 16. Determine o(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7996 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8239 and -16.509071211.\nAnswer: -15.685171211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k + 25. Let z(d) = 3*d + 50. Give -7*h(n) + 4*z(n).\nAnswer: -2*n + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -0.4, -4\/5, -103\/6 in decreasing order.\nAnswer: 45, -0.4, -4\/5, -103\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 146, 1, 3 in increasing order.\nAnswer: 1, 3, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15365 - -1ff?\nAnswer: -15166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c - 30. Let j be y(15). Let m be ((-3)\/(-30))\/(20\/j). Sort 0, m, -9 in descending order.\nAnswer: m, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1037 = 5*s, 5*a + 2*s - 5119 = -s. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113111 + -12003231?\nAnswer: -12123002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -619, -938, -1257, -1576?\nAnswer: -1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101794338937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(5*sqrt(3)))\/(sqrt(1089) - (sqrt(1089) + sqrt(1089)*4 - sqrt(1089))).\nAnswer: -sqrt(5)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/27 and (0\/1)\/1 - 2086\/(-840)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Suppose 5*p - 8*h - 35 = -3*h, 16 = 3*p - k*h. Solve 3*y + p*y = -25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 151580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*d**4 - 3*d**3 - 93367*d**2 - 94*d + 142061?\nAnswer: 1032*d**2 - 18*d - 186734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 8*y = -77 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 13)*(3*n - n + 0*n).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z - 2*z)*(-5 + 6 + 0)*(-133 - 26 - 43) - 4*z - z + z.\nAnswer: 400*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 107371, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -0.09.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2790\/(-28))\/31*(2\/(-12))\/((-8)\/64)\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.59 + -752.59. Let p = 0.0833 + -701.7833. Let c = v - p. What is c rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153*-0.241\nAnswer: -36.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*w = 3, -3*i - 46 = 4*w - 32. Let b(r) be the first derivative of -14*r**2 - 14*r + 2. What are the prime factors of b(i)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2. Let n(m) = -m - 6. Let t(d) = -d - 8. Let q(o) = -4*n(o) + 3*t(o). Let b(f) = -9*f - 9*f + 4*f. Let g(j) = -b(j) - 10*q(j). Give g(v(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 - -206. Which is the third smallest value? (a) w (b) -1\/6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 194 - 414. What are the prime factors of h?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7321*d + 878537. Give v(120).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-48)\/56))\/(45\/630).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**7\/2520 + a**5\/120 - a**4\/36 - a**3\/3 - 12*a**2. Let o(l) be the first derivative of j(l). Factor o(y).\nAnswer: -(y - 1)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 + 100. Let g(r) = r**3 + 2*r**2 - 14*r + 5. Let l be g(o). Let b = -68 - l. Is -10 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4196 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*h - 48 + 39*h + 22)*(-2 + 2 - 2).\nAnswer: -2*h + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4158 and 6837642?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (46\/(-2))\/(2\/(36\/(-3)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = -32*d + 168 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h**2 + 31*h - 45. Determine b(0).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -115*o**2 + 823*o + 767. Calculate k(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -58, 2, -8\/7, 0.4, -0.06, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 - 3*w + 3. Let q be j(3). Suppose -3*k - q = -8*k. Find the third derivative of -7*x**2 - x**2 - 2*x**2 - 2*x**6 + k*x**2 wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:19 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 101155810?\nAnswer: 404623240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11393647*f**3*r**2 - 2*f**3*r + 960598*f*r wrt r?\nAnswer: -22787294*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -265*v. Let t(o) = 4*o. What is k(t(a))?\nAnswer: -1060*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202012 - 11?\nAnswer: -2202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*s + 786825 + 1343931. List the prime factors of s.\nAnswer: 2, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.311384 millennia to decades.\nAnswer: 931.1384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2232087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 - (1 - (-37 - -19) - 12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/15*(3\/10)\/((-66)\/55). Let j(v) be the second derivative of 1\/12*v**4 + 34*v + m*v**2 + 0 - 13\/18*v**3. What is p in j(p) = 0?\nAnswer: 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((10\/4)\/(-5))\/1)\/((-10)\/(-240)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*u - 16 + 13, -15 = -3*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 6*f - 56. Give o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*(-30)\/50*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -406*o - 1395. Let l(p) = -338*p - 1396. Calculate -5*g(h) + 6*l(h).\nAnswer: 2*h - 1401","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afedyddfefdyakyfe. What is prob of picking 1 k and 1 f?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1384001, -2767995, -4151989, -5535983, -6919977?\n\"Answer: -1383994*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/12 and -41\/8490546.\nAnswer: 16981092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 30 = 2*i + 10, -4*i = s - 4. Find the common denominator of -71\/184 and 4 + (1 - (-63)\/s) + -1.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (2 + sqrt(68)) - sqrt(68) - (0 + sqrt(1088)) - (sqrt(1377) - (-3 + sqrt(1377) - sqrt(1377))*-2))**2.\nAnswer: -152*sqrt(17) + 6153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 269326575 and -64.4.\nAnswer: 269326510.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(19) - (sqrt(76) + sqrt(76) + -1*sqrt(76))) + sqrt(171)\/(1*sqrt(9))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) - (-73)\/(-3). Suppose -1 = -h, 5*h + 119 = -2*q - 18. Let z = i - q. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95680830 is divided by 5315601.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-301)\/14)\/(-43))\/((-22)\/12)*2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 60, 158, 306, 510, 776, 1110?\nAnswer: 1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3167 = 151*s + 8554 + 1861 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -219\/20 - -56\/5. Let g(k) be the first derivative of 1 - l*k**4 + 0*k**2 + 1\/5*k**5 + 0*k - 1\/3*k**3 + 1\/6*k**6. Determine w, given that g(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-147))\/(4\/(-28))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -27, -34, -43, -54, -67?\n\"Answer: -k**2 - 2*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 + 5 + (4 - 0) + 3. Is ((-1)\/v)\/(2*2\/(-14052)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 10*k - 4. Let j = -36 + 22. Let t = 6 + j. Let n be u(t). Calculate the greatest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19582.6088 to the nearest one hundred.\nAnswer: -19600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 1:54 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = 2*g, 4*g + 5 = 5*f. Let o be 3 + f\/3 - 3. Let s be ((-1 + 2)\/(-1))\/o. Which is the nearest to 0.2? (a) -2 (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + -3*(-5*((1 + sqrt(68))*-3 - (sqrt(68) + 1)*-4))**2).\nAnswer: 600*sqrt(17) + 10350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 bigger than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from qddqqzqyggdggggz?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179922213 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -13.9. Let k = 0.1 - x. Which is the second smallest value? (a) -0.1 (b) -1 (c) -0.4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 3 + (0 + 18 - (-46 - -51))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1449*h - 55215 = 1444*h. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -299 - -1773. Let b = -1473.999249 + t. Round b to five decimal places.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*d - 307, 0 = -2*c + c - d - 107. Suppose 0 = 4*j + 12, -5*j = -6*p + 9*p + 63. Let f = p - c. Is f a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10960 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/7)\/((-18)\/(-441)). Let j(t) = t**3 + 4*t**2 - 4*t - 2. Let x be j(-4). What is the highest common factor of x and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - ((5 - 2) + -4)) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, and 2 c when four letters picked without replacement from {r: 1, v: 1, i: 4, c: 4, a: 3}.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15641, -31285, -46929?\nAnswer: -62573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 1. Let u(t) = 7*t**2 - 5*t + 3. Calculate -u(z) + 2*y(z).\nAnswer: -7*z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -41, -114, -203, -302?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17371682*t**3 - 7818172?\nAnswer: -52115046*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-24) - (-46)\/(-8). What is the closest to -0.1 in -4, x, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47764.\nAnswer: 2, 11941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - b. Let v(f) = f - 14. Let d be v(16). What is y(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -418.3 - -418.56. Which is the closest to -4? (a) 4 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63162293 divided by -629?\nAnswer: -100417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*n + 20, -n - t + 2 = n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.074, 2.23 in descending order.\nAnswer: 2.23, 1\/4, -0.074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*v + 11556*v**2 + v**3 - 11551*v**2 + 403 - 403 to the form u + k*v + l*v**3 + i*v**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2776 and -21\/10757.\nAnswer: 86056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 720\/54*126\/70?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-388)\/6*11\/((-88)\/12). Let o = 100 - b. Solve 0 = 5*n + 3*i + o, n + 4*i + 4 = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -56*w**3 + 24*w**2 - 114*w + 296. Give s(3).\nAnswer: -1342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4076398.81756 - -143.\nAnswer: -4076255.81756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -14. Is 17 a factor of (72 + -1 - r) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -25392445.\nAnswer: 7\/25392445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20748*w**3 + 804*w + 2?\nAnswer: -124488*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + ((sqrt(5500) + 1*sqrt(5500))*-1)\/(sqrt(44)*-6 - 2*sqrt(11)*4))**2.\nAnswer: -6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-173 - -179) + -5 + 1 - -20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 3*h - 1. Let z(g) = 2*g**2 - 8*g + 3. Let k = -227 - -230. Determine k*z(p) + 8*w(p).\nAnswer: -2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)*q**(-2\/3)*(q\/q**7*q)\/q**(-3)*((q**10\/q)\/(q**10\/q))**23 assuming q is positive.\nAnswer: q**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860057.2l to millilitres.\nAnswer: 860057200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.592 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 4\/5, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 1. Let z(w) = w**2 - 5*w - w + 8 - 2*w**2. Suppose 2*t = 3*t - 5*f + 32, 0 = t + f + 2. Let a be z(t). Give c(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1002*q + 830*q + 1720 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 45*p - 39)*(-18*p**2 - 15*p**2 + 12*p**2)*(2*p + 4*p - 4*p).\nAnswer: 1890*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/124 and -39\/10?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107635.\nAnswer: 5, 11, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 3*o**2 + 5*o + 4. Let r be y(-4). Let x(g) = 2*g**2 - 6*g + 1. Let q be x(5). Let f = q + -21. Solve f = 2*d - r*d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = g, -3*g + 2*t + 11 + 3 = 0. Suppose -g*j = -89 + 17. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*i**2 + 7 + 0 to the form b*i**2 + v*i + h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 20. Suppose 4*t - 41 = -5*i, -1 + q = t - i. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/36*-6*2\/4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8995*y + 116950. Calculate z(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 279.\nAnswer: 17\/279","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y - 12, 4*s + 4*y - 440 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/4 of a day?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 14*z + 25. Determine o(10).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (58 - 22) + -13 + -17 + 2 + -23.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.29911 + -0.29911083469. What is j rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/18)\/m**(11\/3))\/((m**(7\/10)\/m)\/m**(-26)) assuming m is positive.\nAnswer: m**(-1319\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, u: 2, m: 1, g: 1}. Give prob of sequence mg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7 - 4)*(4*m + 3 - 3 + (2*m + 1 - 1)*(0 - 2 - 1) + 0*m + 2*m - m) in the form o + k*m and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -22, 1\/2 in decreasing order.\nAnswer: 3, 1\/2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8155 (base 12) to base 7\nAnswer: -55625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -311 - -530. List the prime factors of n.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 495840884 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*b - a, -4*a = -b - a + 1. Let q be 6*(b - 3)\/(3 + -6). What is the units digit of (-3)\/(-4) - (-305)\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/7, 0.5, -2, -7155, 1.83, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x - 45. Let o(d) = 7*d - 47. Determine -3*f(i) + 4*o(i).\nAnswer: i - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 6*q**2 - 7*q + 8. Let l be h(7). Solve -s = 2*r - 0*r + l, 5*r + 20 = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/5)\/r)\/r**(-2\/77))**(17\/2) assuming r is positive.\nAnswer: r**(-5151\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**2\/2 - 1. Let n(g) = -107*g**2 + 61*g**2 + 44*g**2. Determine l(n(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-27)\/(-12))\/((-6)\/(-16)). Let y be -1*2 + 32\/12. Which is greater: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(3) + -4 + -5.\nAnswer: -10 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -3\/2 (c) 0.031 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*c - z, 4*z - 25 = -4*c + 7*z. Suppose 0 = -5*y + c*y + 7. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 138 - 1727. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p**(-2\/19))\/p*p)*p*p\/(p*p*p\/((p**(1\/5)*p)\/p))*p)\/((p*p\/p**(-1\/4))\/p)**(1\/29)*(p**1*p**4*p)**(2\/51) assuming p is positive.\nAnswer: p**(93193\/187340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(2 - 10 - 4)*(0*b + 0*b - b).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*r**3 - 114*r**3 + 169*r**3.\nAnswer: 235*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 + 54*n - 78. Let h be y(-21). Calculate the highest common factor of h and 555.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(0 + 4\/(-6)). Suppose 0 = i*h - q - 110, 0 = 3*h - h - 3*q - 50. What is the greatest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 2, r: 4, s: 1, x: 9}. Give prob of picking 1 x and 2 u.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 657?\nAnswer: 11\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1893228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.554751 - 27.971947.\nAnswer: -28.526698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.22 - -20. Let l = 0.11261148 + 0.10738791. Let w = l + i. What is w rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 2*d - 2*y - 17, 3*d = 3*y + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 831860281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-2090))\/(2\/4 + 0)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2207\/728 + 19\/104. Let f = -7\/2 + m. Suppose 1 = 3*w - u - 7, 0 = w - 5*u + 16. Which is the second smallest value? (a) w (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 106*x**2 - 1. Let l be y(-1). What is the common denominator of 14\/l*(-755)\/12 and -5\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*z - 25 = 100*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**5 + 22*r**4 + 28*r**3 + 20*r**2. Let b(i) = -6*i**5 - 45*i**4 - 54*i**3 - 39*i**2. Let g(c) = 4*b(c) + 9*m(c). Determine h so that g(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197*c**3*r**2 + c**3*r + 26856253*c**2*r - 15892*c*r**2 - r**2 wrt r.\nAnswer: -394*c**3 - 31784*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33.8 - -1.8. Let b = -1405596.99865 + 1405629. Let w = b + f. What is w rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111*80\/(-20720)*-1*(-15)\/3?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 322896 and 94178.\nAnswer: 2260272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - 3 - (2 - 1). Let c be (-1)\/n + 60\/18. Suppose 8*f - 90 = c*f. What is the remainder when 52 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*d - 3*z, -5*d + 4 = -d - z. Let g = -49 - -51. Let h(w) = 1 - 5*w**g - 22*w + 5*w + 8*w + 7*w. Calculate h(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 44*t**2 + t + 39. Let o be u(-44). Calculate the common denominator of -109\/72 and 554\/240 + (-18 - o)\/130.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0*o + 0 + 0*o**3 + 0*o**6 + 1\/210*o**7 + 0*o**5 + 1\/6*o**4 + o**2. What is the second derivative of z(p) wrt p?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from jkiimmiimj?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 952 to the nearest 10.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4068\/233 > -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(3\/(-27)*12*10\/(-80))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.6, -2, -2\/7, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4567 rounded to 2 dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*o**3 - 84*o**3 + 133*o**3 - 2*o**2.\nAnswer: o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.44711 to 1 decimal place.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -304*v**6 - 3441*v**3 + 19397483*v**2?\nAnswer: -36480*v**3 - 20646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*c - 7*c. Let v be c\/7 - 198\/(-63). Let k(i) = i**3 - 4*i**2 + 3*i + 5. Let p be k(v). What is the greatest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2744\/(-56) - ((-5)\/(-10))\/(7\/14).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -9430631\nAnswer: -1\/9430631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 1 - 1)*(0 - 4 + 2) - 90*g + 0 + 0 + 88*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2. Let y(m) = -5*m**2 + 12688 - 12688. What is p(y(t))?\nAnswer: -100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 10*m - 1. Let w be c(7). Suppose -w = -4*p - 8. Suppose y = p*s + 58988, -y + 5*s + 294980 = 4*y. What is y rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-88)\/(-16) + 82\/4. What is the highest common divisor of 2556 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 + 14*j**3 + 9*j**2 - 20*j.\nAnswer: -j*(j - 5)*(j - 1)*(3*j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ce36 + 8?\nAnswer: 1ce3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1033*g = 1020*g + 182 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 1\/6*b**6 + 0 - 25\/12*b**4 + 5*b + 0*b**2 + 5\/2*b**3 + 1\/4*b**5. Determine g so that d(g) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*z**3 + 0*z**3 - 3*z**3)*(-12 - 5*z + 12) to the form v*z**2 + c + b*z**3 + o*z + i*z**4 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299 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: Calculate the common denominator of 139\/1797582 and -101\/462.\nAnswer: 138413814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 4*u + 5. Let i be c(-5). Let x(r) = r**3 - 3*r**2 - r - 123. Let l(s) = s**3 - s**2 - 1. Let k(o) = 2*l(o) - x(o). Is k(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*u + 1071 = -5*u - 809 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-66)*-8*2233\/((-1305)\/45).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 560307818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 3159003 - 3159003.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 177 - 70. Let z = -29 - -29. Suppose 3*g = 3, -4*g - 164 = -z*m - 3*m. What is the remainder when a is divided by m?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*h = -0*h + 16, 0 = -a + h + 4. Solve -13*m + a = -26 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.44396 decades to centuries.\nAnswer: 3.544396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3446778155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i - 20. Calculate the remainder when i is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 18*y - 56. Let v be i(7). Let u be v\/40 + 6\/(-4). What is the nearest to u in 2, -5, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u - 4 = 0, -3*u - 12 = -3*o. Let t = 25\/3 - o. Which is the second smallest value? (a) 3 (b) t (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 537471, 1074931, 1612391, 2149851, 2687311?\nAnswer: 3224771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187.77 - 46.77. Sort 0.1, 0.5, x, 2, 3 in descending order.\nAnswer: x, 3, 2, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 1533 - 1507. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*o - 205 = -46*g + 555*o, -8*g - 6*g + 95 = -2*o - 3*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -395, 1, 4690.\nAnswer: -395, 1, 4690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - j - 3)*(-3 + 2 - 1 + 6*j)*(0*j - 2*j - 2*j).\nAnswer: 24*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((sqrt(110) - (1*sqrt(110) - sqrt(110) - sqrt(110) - sqrt(110))) + sqrt(110) - sqrt(110)) - sqrt(110))*5)\/(-2*sqrt(1000)*-5).\nAnswer: -7*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3.02.\nAnswer: -12.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2 - g - 5 + (-3 + 4 + 0)*(-2*g - 2*g + 6*g) + (5 - 1 - 2)*(3*g + 0*g + 0*g) to the form z + f*g and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, e: 11, x: 4}. What is prob of sequence eee?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184570, 184572, 184576, 184582?\nAnswer: 184590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6518 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14887, 14881, 14865, 14833, 14779, 14697, 14581, 14425?\n\"Answer: -y**3 + y**2 - 2*y + 14889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - l + 10*l**2 + 0*l**2 - l**2.\nAnswer: 9*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, g: 3, e: 6, k: 1, w: 5}. What is prob of picking 1 e and 3 w?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582533151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435 + 215 + 40*p + 220.\nAnswer: 40*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*g**3 + 10*g**2 - 4*g**2 - 130*g - 6*g**2 - 134*g + 270*g.\nAnswer: -93*g**3 + 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s - 82. Let y be x(15). Suppose 3*z + 68 = 5*z - 3*f, -2*z - 2*f = -y. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/9 + 25606*f**3\/9 + 16598914*f**2\/9 - 33274654*f\/9 + 5550044\/3 = 0. What is f?\nAnswer: -12118, -687, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -298*g**3 + 2*g**2 + 2*g + 1. Let k be (-4)\/(-12)*-3 - 0. Let t be b(k). Suppose 10*l = 49 + 81. Calculate the highest common factor of l and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**3 + 5*l**2 + 5*l - 6. Let r(u) = -3*u**3 + 10*u**2 + 2*u - 7. Let a(d) = -d**2 + d. Let w(i) = 4*a(i) + r(i). Give -6*f(g) + 5*w(g).\nAnswer: 3*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0350439 less than 1130?\nAnswer: 1129.9649561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 495\/180 - (6 + -3)*1. Put h, -1, -0.13 in ascending order.\nAnswer: -1, h, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82540*y + 2025 = 41306*y + 41279*y for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 3*w + 5. Let x be q(5). Calculate the highest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21522 - -2233.8\nAnswer: -19288.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from {i: 1, s: 2, n: 4, o: 1, h: 3, z: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u + 44 = 200. Solve -4*z = -3*j - 10, -4*z + 8 = -0*j - u*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-50))\/((-6)\/(-240))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(138600\/490))\/((-14)\/4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - (8 + -9)) + (8 - 19) + 123?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + a - 2*f + 16, -4*f = -3*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2951 - -2965 - (0 + 0 - -16) - 71?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + 3*b - 1. Let k(w) = 10*w**2 + 10*w - 3. Calculate -8*a(d) + 3*k(d).\nAnswer: 6*d**2 + 6*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/7*(-22)\/(-1452).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*v**2 - 2)*(-2*v + 6*v - v) + (-v**2 - v**2 - v**2)*(2 + 0 - v - 3*v).\nAnswer: 18*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 233*x**4\/12 - 109*x**3\/3 + 972*x**2. Differentiate w(c) wrt c.\nAnswer: 466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/(-82) - (-17)\/(-16)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7d - 5?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 300 + -298. Solve 6*v = h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 9153 + 9155 = 4*w, 3*w - 5*k + 23 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181162124.\nAnswer: 2, 11, 13, 316717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 234174571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 111409 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 508 = 3*z + 489, g + 6 = 2*z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -455 + -10301?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.142 to one dp.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + j + 69 = 0, -2*j + 2 = 10. Let f be 0*(0 + 2\/2). Suppose f = 5*s - 2 - w. Solve o = -s*i - 3, -2*o - o + 3*i = -15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -16*h**2 - 548. Let c(u) = 2*u**2. Determine p(c(a)).\nAnswer: -64*a**4 - 548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + 1*sqrt(304)*-2)**2 - (3*(sqrt(304)*-2 - sqrt(304)))**2) + 0.\nAnswer: -24320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(0 - (-8)\/20). Let d(o) be the second derivative of -o**3\/6 - 2*o**2 + o. Let u be d(-4). Sort u, 4, q in increasing order.\nAnswer: q, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (-5 + 6*sqrt(425)*-2 - (-4 + -5*(sqrt(425) + sqrt(425)*1)))**2)*-2.\nAnswer: 120*sqrt(17) + 10194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 6:12 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-12)*d)\/(d*d**(-1)))\/(d*d\/(d*d**(-16))*(d*d\/d**(3\/5))\/d))**(-8\/5) assuming d is positive.\nAnswer: d**(136\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7299, -14594, -21889, -29184, -36479?\n\"Answer: -7295*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6. Let x = 0.1 - -0.1. Which is the closest to 3\/4? (a) -5 (b) x (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 784 and 214326?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 5891082?\nAnswer: 5891076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((0 - -1) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 4, o: 1, a: 2}. Give prob of sequence oa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8854, -8874, -8894, -8914, -8934?\n\"Answer: -20*n - 8834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -514 - -519. Let c(d) = -5*d - 9. Let k(p) = -9*p - 17. Determine l*c(s) - 3*k(s).\nAnswer: 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*h + 10948, 6*k - 5*k = h - 5483. What are the prime factors of h?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2790793, -2790792, -2790791, -2790790, -2790789, -2790788?\n\"Answer: d - 2790794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1399, 116, -7, -14 in decreasing order.\nAnswer: 1399, 116, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25509 and 236918?\nAnswer: 211409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 12 = 2*c. Let u = -6 + c. Let d be (1 - -2)*u\/(-3). Solve -k - 3 - d = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/4*27\/(-5) and -19\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 53*c + 58*c - 200*c + 50*c + 55*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + b**2 + b + 11. What is the remainder when 17 is divided by l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00088695 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Let w(t) be the second derivative of 5*t**4\/4 - t. Give z(w(l)).\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 222\nAnswer: 8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 274872, 277422, 279972, 282522, 285072?\nAnswer: 287622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -6*j**3 + 1214*j**2 + 812*j = 0.\nAnswer: -2\/3, 0, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1634*m**2 - 1338*m**5 - 1229*m**5 - 799*m**2 - 1800*m - 835*m**2 wrt m.\nAnswer: -51340*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381, 2907, 9739, 23031, 44937, 77611, 123207, 183879?\nAnswer: 261781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from {p: 1, a: 1, u: 1, f: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 39 = 3*w, 2*w - 2*g - 14 = -0*g. Suppose 4*b - w = -4*s + 22, 0 = b + 4*s - 17. What is the greatest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9172 + -9368.15. Round u to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198719757 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (63232\/512)\/((-1)\/(-36))?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 297, 293, 275, 237, 173?\n\"Answer: -x**3 - x**2 + 6*x + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937564809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 10832990?\nAnswer: -54164950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 4. Let t be z(-4). Suppose 4*h + h - 3*q = 64, t*q - 21 = -3*h. Solve -3*r + 3*m + 7 = -2*r, 0 = -4*r - 5*m + h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -323*q**3 - 1494*q**2 - 7*q - 7. Let h(c) = -321*c**3 - 1495*c**2 - 6*c - 6. Let s(k) = -7*h(k) + 6*x(k). Find the third derivative of s(b) wrt b.\nAnswer: 1854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -760 + 280. Let u be -381*(88\/(-12))\/(-22). Let x = u - k. Calculate the highest common divisor of 363 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from euuuuueueu.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*d + 4, 13 = 5*v + 2*d - 0*d. Suppose -3*f + 219 = 5*n, n + 3*f - f - 41 = 0. Let z = n - v. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 9*p**4\/4 + 5*p**3\/3 + 5*p + 1. Suppose -42*n = -61*n + 95. Let o(a) = -8*a**3 - 4*a**2 - 4. Give n*o(m) + 4*c(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(119)\/((sqrt(84)\/sqrt(6))\/sqrt(2)).\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 11) in base 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11510)\/(-230) + 132\/(-3036).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 1. Let m = 19 + -18. Determine c(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b + 0*b - 3*b - 12*b + 6*b**2 - 1 + 3*b + 13*b**3 as s*b + i + p*b**2 + n*b**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -10 (b) 5\/3 (c) -0.4 (d) 0.4 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2. Let g(l) = l + 1. Determine f(m) + 2*g(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 8 = -9*z. Suppose z*b - 13 = -3*a - a, 0 = 3*b - 4*a - 5. Solve -2*g - b*q - 6 = -22, -4*q - 2 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50649 divided by -6\nAnswer: 16883\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618098.\nAnswer: 2, 13, 23773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m - 3. Let w(q) = -q - 1. Let f(s) = 2*g(s) - 7*w(s). Suppose 2*o + 29 = -5*t, o + 13 + 0 = -2*t. Give f(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 4 + 1401*l**2 + 3.\nAnswer: 1401*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156561 and 21?\nAnswer: 1095927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 963, 1913, 2863, 3813?\n\"Answer: 950*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xky when three letters picked without replacement from {k: 1, n: 1, f: 2, w: 1, y: 1, x: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -12. Suppose l*c - 2*c - 45 = 0. Let d = 25 - c. Calculate the remainder when 29 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -43. Suppose k*y = 11*y + 31. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*v - 5*v. Let m = v - -18. Solve -5*u = 4*a - 22, 0 = m*a + 2*a + 4*u - 23 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 20242942.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18275 divided by -2?\nAnswer: -18275\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5))**(-15))**9*(d**0)**(2\/23)\/(d**(3\/5)\/d**0) assuming d is positive.\nAnswer: d**(-273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230472.\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10215 + -40?\nAnswer: 10155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-460)\/6*(3 + (5 - 35)). Let g be -42*24\/r + (-2)\/(-5). Which is the third biggest value? (a) -1\/9 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31785.39 + -30867. Let z = 863.437 - l. Let y = z - -55. Round y to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 237400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)\/p)\/(p*((p*p\/(p*(p\/(p*p**3\/p))\/p*p))\/p)\/p)*((p*p**(-3\/4))\/p)\/(p*p\/(p*p*p\/p**4)))\/(p**6\/p**(-3\/4)*(p*p**(-1))**35) assuming p is positive.\nAnswer: p**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 709 = 51*t - 362. Calculate the smallest common multiple of t and 2982.\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251025.\nAnswer: 3, 5, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3) - (-5*sqrt(3))**2*-3 - (-6*sqrt(27)\/sqrt(9) + sqrt(3))) + 0.\nAnswer: -225 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14557, 29119, 43653, 58135, 72541, 86847?\nAnswer: 101029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -233*q + 3685 = -742 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**8\/560 + b**7\/175 + 3*b**6\/100 - b**5\/25 - 13*b**4\/40 - 3*b**3\/5 - 83*b**2. Let w(r) = 0. Calculate r.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5500 or 0?\nAnswer: 3\/5500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1417\/447 - 1\/298. Is 2 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 + -146.763. Let v = h + 3.763. What is the smallest value in 8, -3\/2, v?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(-2)\/(-32) + (-59)\/(-4). Suppose d = 7*f - 10*f. Which is smaller: f or -22\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**3 - 20*o**2 - 9*o - 5. Suppose 2*y + 4*i = 22, -2*i + 81 - 61 = 2*y. Let f(l) = l**3 - 5*l**2 - 2*l - 1. Determine y*f(u) - 2*h(u).\nAnswer: 3*u**3 - 5*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1321019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.38 and 3?\nAnswer: 4.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33871136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3270*g - 19531. Determine z(6).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/46900 and 37\/62198780.\nAnswer: 310993900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 405538317 to the power of 1\/4, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7642360?\nAnswer: 2, 5, 11, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24325 or 24335?\nAnswer: 24325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or 11718.06?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6167*l - 3160*l - 3118*l.\nAnswer: -111*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.4733226 - 10.527521561. Let u = 0.0542 + s. What is u rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven eighths of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2218*y + 2222*y = -12. Which is the nearest to 184? (a) y (b) -1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7101, -19, -2, 0.2, -5 in decreasing order.\nAnswer: 7101, 0.2, -2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55020 or -55019?\nAnswer: -55019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72744 and 1263927.\nAnswer: 10111416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(8\/7))\/b)\/b**0*b**(-1\/7)\/(b\/(b**(-5)*b*b)) assuming b is positive.\nAnswer: b**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23463, -23459, -23455?\n\"Answer: 4*p - 23467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*10\/((-1)\/(-1)). Suppose 1614 - 2154 = -4*t. Calculate the greatest common divisor of t and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -26*y**3 + 20*y**2 - 21*y - 15. Let l(w) = 7*w**2 - w - 9*w**3 - 5 + 3*w - 9*w. Let o(c) = 17*l(c) - 6*q(c). Is o(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1 + 29\/(-15). Let m = -3\/5 - h. Let o be (-25)\/20*2\/(-5). Which is smaller: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + o - o)*(2*o + 41 - 46 + 2*o).\nAnswer: -4*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 2*u - 27, -12*u + 8*u = -y + 9. Let t(z) = z**2 - z + 2. Let o = 6 + -4. Let r be t(o). Solve w + r*w = y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f + 3. Let m be o(2). Let a = m + -8. Solve -2*d + a = 4*h + 7, 0 = -3*d - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(3\/5)))**(-2\/27)*(p*p\/(p\/p**(-1\/4))*p*p)**28 assuming p is positive.\nAnswer: p**(3467\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 84 + 538 + 29*y + 1984 - 27*y - 67.\nAnswer: 2*y + 2290","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/1*26\/(-65)*(-1025)\/(-82).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436093365?\nAnswer: 5, 7, 41031239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 1672, -5, 0?\nAnswer: 1672","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 190388?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + 2 + sqrt(12) + 0.\nAnswer: 2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 17*z + 125. Give f(2).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02524907 - -0.0252. Round o to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 28*d**2 - 675*d + 11095. Determine c(38).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53063284 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 - 2 = 0. Let j(i) = 21 + k*i - 21. Let l(d) be the first derivative of -2*d**3\/3 + 1. Determine l(j(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2253 + 4049. What is the smallest common multiple of 18 and h?\nAnswer: 16164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 5*i**3\/2 + 55*i**2\/2 + 11*i. What is the tens digit of b(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 432\/23, 1\/4, -3, -1, -4, -2 in descending order.\nAnswer: 432\/23, 1\/4, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1782119869\/1764 - 1010272. Find the common denominator of s and 31\/441.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) - 774\/(-63). Let m = 1 - f. Let j = m + 11. Which is smaller: 1\/26 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.299 - 1.3. Round t to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 14*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-150)*336\/(-882)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**3 + d**2 + d - 1. Determine w(-3).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*b - 2*j, -5*b + 15*j = 18*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4289114, 8578223, 12867332?\nAnswer: 17156441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1100866781 + 1764998404. Let x = -664131669.0000009 + u. Let i = x - -46. What is i rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3431 times 369.3?\nAnswer: -126.70683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 996940 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 2*a + 21*a**2 - a**2 - 5*a**2 - 8*a**2 - 7*a**2.\nAnswer: -2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 44 - 52 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 89*p**2 - 121*p + 35. Let o(v) = -45*v**2 + 66*v - 18. Determine -6*i(d) - 11*o(d).\nAnswer: -39*d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.34 + 736.34. Let b = u + -724.999. What is b rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:02 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 191652088*v**2 - 24578565 with respect to v.\nAnswer: 383304176*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*s**2 + 23*s**6 - 10*s**6 - 22*s**6 wrt s?\nAnswer: -1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1125630 and 5580.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (-1 + sqrt(700) + 2)**2).\nAnswer: -2792 - 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 12*b - 7*b - 30 = 0, -b + 40 = 4*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 24 = 2*d, -d + 3*d = 4*q - 12. Solve -q*m = -2*s + 30, -3 + 18 = -m + 2*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1223*a + 3 = -1224*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - l + 1. Let x(q) = -3*q**2 - 7*q - 26. Let u(g) = 4*g**2 + 5*g + 16. Let k(h) = 3*u(h) + 2*x(h). Determine -d(p) - k(p).\nAnswer: -5*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - z + 2. Let s be v(-2). Suppose 20 + 4 = 3*x. Let p = x + -5. Solve t - 2*t - p = s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u**3 - 7*u**3 + 9 - 2*u**2 - 8. Give h(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60278 + -60368.817. Let a = g + -0.183. Let k = 92 + a. What is the nearest to -1 in 3\/13, 1\/5, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23948?\nAnswer: 2, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3.7. Let u = 1943962\/1346625 + 2\/70875. Let s = u + -22\/19. Which is the nearest to s? (a) -3 (b) 2\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3*(8 + -2))\/(-2). Let f = 177 - 77. Let o = 172 - f. What is the greatest common divisor of w and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -563 (b) 4 (c) 2 (d) -7 (e) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 864457*b + 864462. Determine c(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.3 (b) 12\/7 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -3*sqrt(637))*-4*5 + sqrt(637)*3 + -4 + 1 + 2*sqrt(637))**2.\nAnswer: -2730*sqrt(13) + 2691334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.097826403 and 0.113.\nAnswer: 0.210826403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 11*j**2 + 5*j + 2. Let l be -12 + (-1)\/4 + (-228)\/(-16). Let q(h) = 5*h**2 + 2*h + 1. What is l*c(s) - 5*q(s)?\nAnswer: -3*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9*(-5)\/60*16\/32?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152 - 149. Solve -7 = -2*b + f, 0 = 3*b + 3*f + r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 469.\nAnswer: 5159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9845930, -19691886, -29537842?\nAnswer: -39383798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 559, 1734, 3649, 6268, 9555?\nAnswer: 13474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 33069520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5\/7 - 704*s**4\/7 + 39584*s**3\/7 - 150644*s**2\/7 + 185342*s\/7 - 73580\/7 = 0.\nAnswer: 1, 2, 65, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394077?\nAnswer: 3, 17, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 12, q: 1}. Give prob of sequence eeq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 885*k + 365*k + 734*k + (2*k + 1 - 1)*(1 - 1 + 1) to l + r*k and give r.\nAnswer: 1986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 497600 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 4*x = -5, -2*p - 73*x - 15 = -74*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10549, 1981, 5 in descending order.\nAnswer: 10549, 1981, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2508 is divided by 193.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191340*f**5 - 6*f**3 - 21*f**2 + f - 71909 wrt f?\nAnswer: 11480400*f**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - f - 7. Let t(w) = -2*w**2 + 4. Let z(p) = -4*m(p) - 7*t(p). What is the second derivative of z(l) wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2425*b*c**2*g**3 + 56*b*c**2*g + 3*b*c*g**2 + 3*c**2*g**3 - c**2 + 4*c*g**2 + 2*g**3 + g**2 wrt g?\nAnswer: -14550*b*c**2 + 18*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 445 or -8?\nAnswer: 445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1340468, -1340465, -1340460, -1340453, -1340444?\nAnswer: -1340433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 27*i - 75 = -16*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 1330 = -0*o. Let j = 194 + o. Sort 14, 1, j, 0 in descending order.\nAnswer: 14, j, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**19\/o)\/o*o**(2\/5)\/o)\/(o**(-10)*o**13) assuming o is positive.\nAnswer: o**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -720116.543 - -271.\nAnswer: -719845.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 3 - (12 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.8 - 5.2. Put -3\/4, 8, f in increasing order.\nAnswer: f, -3\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from qrqx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-15\/4)\/b)**(-3\/5)\/(b\/(b*(b**(7\/10)*b)\/b)*b)**(-2\/9) assuming b is positive.\nAnswer: b**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3705\/(-15 + 110) + 10\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 22*a**2 + 32*a + 96. Suppose 5*y = 15, 9*y + 86 = -4*n + 11*y. Does 95 divide s(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4111185?\nAnswer: 3, 5, 13, 29, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 917 and 3016275?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8350962 litres to millilitres.\nAnswer: 835.0962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01535 + -156805?\nAnswer: -156805.01535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*-5234013*(-4 + 3). Let z(p) = 1433109*p**2 + 5*p - 5. Let m be z(-3). Let a = m - u. What is a rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 28. Is (349 + -1 + -1)\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**4\/6 + 7*p**3\/6 - p**2. Let g(j) = 3*j - 7. Let b(w) = -4*c(w) - 5*g(w). List the prime factors of b(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 6 = 0, 144*z - 143*z = -5*c + 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2048, -2059, -2060, -2045, -2008?\nAnswer: -1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096048460 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3470861397 to the nearest integer?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Let q(o) = -7*o - 91. Let r be q(-13). Suppose 3*z + 16*z - 38 = r. Solve n = h + m, -n + 0*h + z = h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 57.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 11*v**2 - 17*v + 4. Calculate s(13).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3739*d. Let s(o) = o. Give m(s(r)).\nAnswer: -3739*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21 - 0 - (-3)\/1. Let w = -20 + m. Solve 0 = -2*u - 0*u + w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30.1 or -36\/5?\nAnswer: -30.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3298084 to the power of 1\/2, to the nearest integer?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.92 - -10.12. Let n = -2\/49 + -12\/49. What is the nearest to 1 in -3, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 12*u + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 324370 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -28. Let v = s + -43. Calculate the common denominator of -113\/10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/6*456\/(-760).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*h - 33*h + 51*h**2 + 10*h + 17*h as z + a*h + i*h**2 and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9 + 4 - b**2 + 3. Let n(v) = -v**2 - 1. What is 4*m(a) - 5*n(a)?\nAnswer: a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3\/7 + 82*j**2\/7 + 352*j\/7 + 360\/7 = 0.\nAnswer: -2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*k**2 + 1 - 14*k + 4*k + 24*k**2.\nAnswer: 74*k**2 - 10*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - 0.39. Let o = 35.4 + -35. Which is the nearest to -0.4? (a) o (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1, -55?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u - 2*u. Suppose u*d + 0*d = -1692. Is d\/(-6)*(-104)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4457550380.\nAnswer: 2, 5, 3709, 60091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -134*x + 133*x. Let g be (x\/(-27) - 0)\/(2\/(-6)). Which is the nearest to -0.2? (a) g (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1354)\/30 + 36\/270. Let o = x - -40. Let y(k) = 2*k + 2. Give y(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 28*o - 25*o. Let s(i) = -70*i + 4. Let x(y) = -142*y + 7. Let k(f) = o*s(f) - 3*x(f). Let u(j) = 2*j**2. Give u(k(t)).\nAnswer: 11552*t**2 - 304*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 17*j**3 - 4*j + 6. Is f(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28890 and 225185994?\nAnswer: 5778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 869, 3094, 7439, 14606, 25297, 40214?\nAnswer: 60059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 305531848 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3141*z - 544. Is o(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 = -7. Differentiate 0 + 0 - 4 + 3*f + r wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126698*m**3*n**3 + 174540*m**3*n**2*y - 4*m*n**3*y + 4*m*n**3 wrt y.\nAnswer: 174540*m**3*n**2 - 4*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275480.\nAnswer: 2, 5, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -145 + 639.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -219320.3*-0.46\nAnswer: 100887.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 4*j + 17*u - 13471202, 3367790 = j - u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e (base 16) to base 9.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.088? (a) -0.03 (b) 57.5 (c) 2\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**5 + 35*o**4 - 55*o**3 - 115*o**2 + 50*o + 80 = 0. What is o?\nAnswer: -8, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2\/4 + 172371*t\/4 - 86187\/2 = 0.\nAnswer: -57458, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -7. Suppose 5*a + 10 = -z - 2*z, h*z + 3*a = -6. Suppose -5*d - 4*b + 128 = z, 5*b + 31 = 2*d - 7. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 6*v**2 + 8*v - 13. Let h be p(5). Suppose -4*c + 400 = -h*r, -3*c = -7*c + 5*r + 412. Suppose c + 126 = 2*q. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0782 + -62.9218. Let y = -274.1 + 229. Let a = y - j. Round a to 0 dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(sqrt(22) + sqrt(22) + sqrt(22)*2))\/(sqrt(2) + -1*sqrt(2)*2).\nAnswer: -1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1512) - (sqrt(1512) - 2*(-1*sqrt(1512) - sqrt(1512)) - sqrt(1512)))\/(4*sqrt(54)*-3))**2*-4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5491692, 5491688, 5491680, 5491668?\nAnswer: 5491652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -255 (base 11) to base 4\nAnswer: -10232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -3 - 3) + 8 + -2. Suppose 5*t + 2*d = -0*d + 66, d = -s*t + 54. What is the remainder when 23 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -16.00011. What is d rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3673*v + 2367 = -3936*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 34 = -4*c. Let p(i) = -i**3 + 6*i**2 + 29*i + 10. Let x be p(-3). Solve c*d - x = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-38 + (-3825)\/(-45)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 5 - 5)*(-q**3 + q**3 - q**3) + 19 - 19 - 43*q**4 + (-56*q + 56*q - 4*q**3)*(-5*q + 1 + q + 3*q).\nAnswer: -37*q**4 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066 divided by 6713?\nAnswer: -1066\/6713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 4*i**2 + 1. Let n = -159 - -208. Suppose -n = 3*o - 37. What is p(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczczcccgppcpp. Give prob of picking 1 z and 1 p.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l*m**2 - 2*l*m - 5*l + 350*m**2 + 14*m wrt m.\nAnswer: 2*l + 700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -235487829*y**3 + 257757573*y**2 wrt y.\nAnswer: -1412926974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 1:48 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.71, 0, 1 in increasing order.\nAnswer: -0.71, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8244 divided by 4?\nAnswer: -2061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 1\/24*t**4 + 0*t + 1\/60*t**5 - 1\/6*t**3 + t**2 + 0. Let g(f) = -5*f**2 - 4*f + 3. Calculate g(c) + 4*v(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 255285872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(-3 + (sqrt(1216) + -1 + 3)*2))**2.\nAnswer: 160*sqrt(19) + 121601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 16*v - 75 + 21, -2*y - 2*v + 7*v - 1545 = -1511 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -861 + 304 + 191 + 332 - 4*f.\nAnswer: -4*f - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32102000 and 2000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(240)\/sqrt(4) + sqrt(360)\/(sqrt(6) + sqrt(12)\/sqrt(2)))\/(sqrt(96)\/(sqrt(1152) - -2*sqrt(1152))).\nAnswer: 198*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(2 + 4 + 2)*(2 - 4*k - 2).\nAnswer: 64*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 12. Let x be c(-9). Let t be 73\/6 + x\/18. Suppose -r = -5*m + 9 + 7, -t = -4*r + m. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 9, -10*n + 6*n = -2*v + 12. Suppose v = 23*c - 32*c + 10719. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12165 + -12164. Which is greater: 0.5543 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/32*4\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/14)*d)\/(d\/(d\/d**12)) assuming d is positive.\nAnswer: d**(-153\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6863 - 4770. Which is smaller: 2091 or d?\nAnswer: 2091","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbblbbbbblb. Give prob of picking 2 b.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -243\/5 - -49. Put v, 0.03, 0.1, 2 in ascending order.\nAnswer: 0.03, 0.1, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - sqrt(88)*-2 - sqrt(88))*3 - sqrt(88) - sqrt(88)) + sqrt(88) + sqrt(88) - 2*sqrt(88)*-5)\/(sqrt(648) - -2*sqrt(648)*-1 - sqrt(648))*5*-1.\nAnswer: 40*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1002412 - 0?\nAnswer: -1002412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1869 + 1897. Calculate the remainder when 141 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 4136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 0 + 2\/7*u**5 + 52\/7*u**3 - 22\/7*u**4 - 32\/7*u**2 + 0*u = 0.\nAnswer: 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*l - 207 = -0*l, 5*n = 4*l - 209. Let v = n + 44. Suppose v*k = -10 + 403. List the prime factors of k.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*k**2 + 62*k**2 + 101*k + 100 - 84 - 17*k.\nAnswer: 2*(3*k + 2)*(15*k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2808 and 112476.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -916*l + 913*l - 18, -4*v - 33 = 5*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bc (base 14) to base 16.\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 2*t**3 - t**3)*(643*t**2 + 1875*t**2 + 1568*t**2 + 4722*t**2 + 672*t**2 + 5095*t**2).\nAnswer: 29150*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3075.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 182, 370, 626, 950, 1342, 1802?\nAnswer: 2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40284 - -561316. What is l rounded to the nearest 10000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 6*t**2 - 23. Let g be f(5). Suppose -2*n = -4*l - 3*n + 8783, g*n = 2*l - 4384. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -218 - 4*r**4 - 3*r**4 - r**3 + 217 + r to the form l*r + d*r**3 + x + c*r**4 + j*r**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 13*w + 17*w)*(-10*w - 13 + 12*w - 3*w)*(8 - 9 - 11) as h*w**2 + z + x*w and give x.\nAnswer: 780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 534998 + -0.0022.\nAnswer: 534997.9978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*r = 30, 2*j - 7 - 23 = -4*r. Solve j - 2 = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(sqrt(26) + sqrt(156)\/(sqrt(54)\/sqrt(9))))\/(sqrt(4)\/(sqrt(4)\/sqrt(2)) - sqrt(2) - -4*(sqrt(2)*-2 + sqrt(2))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129.6803 days to seconds.\nAnswer: 11204377.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0*s + 1\/30*s**5 + 1\/60*s**6 + 0 - 31*s**2 + 0*s**3 - 1\/12*s**4. Calculate t(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -0.03881?\nAnswer: 0.26119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.66455553 to three dps.\nAnswer: 0.665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/27? (a) 4 (b) 1\/43 (c) 18 (d) 1\/6 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -30305 and 877 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u + 3*u - 5 + 2*u - 5*u. List the prime factors of z(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -3)\/((-4)\/4). Let f be -1 + 2 + 0 - (-2)\/s. Solve -f*w + 1 = -2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.8 - -1.8. Let h = 6 + q. Which is the closest to h? (a) -2\/9 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/28*(-5040)\/216?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125\/6 - -64\/3. Sort j, -8, -1\/5, 0 in ascending order.\nAnswer: -8, -1\/5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**2\/2 + 414. Let n(w) = 4*w - 3. Let l(p) = p - 1. Let o = 2 + -4. Let u(i) = o*n(i) + 6*l(i). Give u(h(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/910 and 31\/70.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 2320976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:04 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-131 - -145) + (3 + -2 - 2 - 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 0 + (-33)\/(-3). Let d(p) = -p**2 + 14*p + 10. Is d(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -96 and -95 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*i = 14, 4*o + 5*i + 16 = o. Put 20, 4, 2, o in descending order.\nAnswer: 20, 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-52))\/(2454\/6544)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 499 = -18*g + 20*g, 4*g + c = 943. Calculate the greatest common factor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-1)*2\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -25, -1229, -4, -1 in descending order.\nAnswer: 1, -1, -4, -25, -1229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1889, 1887, 1885, 1883?\n\"Answer: -2*i + 1891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 75\/8 of a second?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*v**2 - 1928*v + 993*v + 30 + 1154*v.\nAnswer: -3*(v - 5)*(15*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.12 and 75351?\nAnswer: 75351.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -937 divided by -18?\nAnswer: 937\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = 3*q, 18*b - 23*b + 31 = 4*q. Suppose -2\/9*p**2 + 2\/9*p + 2\/9 - 2\/9*p**b = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (70\/(-3))\/(((-140)\/(-63))\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*k + 33, r + k - 17 = -2*r. Suppose 2*d = -y, r*d = 4*y + 5*d - 14. Solve y*z = -z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -22, 2\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32314200 + 2?\nAnswer: -32314143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-24))**(3\/7))**(-36) assuming v is positive.\nAnswer: v**(2592\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22, -18, 0, 38, 102?\n\"Answer: i**3 + i**2 - 6*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1626332138 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 4*z**2 + z - 2. Let q be o(4). Let g(x) = -6*x - 51. Let d be g(-9). Factor -6\/7*s**d - 8\/7*s**q + 0 - 2\/7*s.\nAnswer: -2*s*(s + 1)*(3*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-5 - 68\/(-12)). Let l(v) be the first derivative of 0*v + 8\/5*v**5 + 0*v**2 - u*v**3 - 5 + 0*v**4. Find the third derivative of l(o) wrt o.\nAnswer: 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + s + 1. Let p(t) = -t**2 + 25*t - 42. Let h be p(23). Calculate g(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 0 + sqrt(405))*-6 + sqrt(405) + sqrt(405) + 4*(1 + sqrt(405)))**2.\nAnswer: -432*sqrt(5) + 14596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 10*v = -15. Calculate the common denominator of -34\/67 and (-4 - (-680)\/176)*(27 + v).\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011893 rounded to seven dps?\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(88))\/sqrt(2).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 473*g**6\/5 - 109*g**4\/12 - g**3\/2 - 660*g - 2. What is the third derivative of h(w) wrt w?\nAnswer: 68112*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -79 + 1\/((-2)\/(-8)). List the prime factors of 16\/p + 1\/((-18)\/(-886)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349503 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 9) + 8 + -4 - -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 35*u + 53384 = 38*u, 2*c + 3*u = 26686. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u - 17*u - u + 4*u + 2*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -17*y - 5. Let w be g(-4). Suppose 4*h = 3*h + w. What is the highest common divisor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*g + 526 = 178 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v - 3*v)*((3 + 2*v**2 - 3)*(0 - 1 + 2) - 6*v**2 + 14*v + 3 - 14*v).\nAnswer: 8*v**3 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 5*k - 2. Let r be z(4). Let d(f) = f**2 - 11*f - 101. Let s be d(17). Put s, 3, 6, r in decreasing order.\nAnswer: 6, 3, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199559 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 0 + 0*q + 1\/24*q**4 + 0*q**3 - q**2 + 1\/120*q**6 + 0*q**5. Let j = 159 - 158. Give z(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6156, 12309, 18462, 24615, 30768?\n\"Answer: 6153*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-12)*4\/3. Suppose i = t + 38, -5*i = -d*t + 42 - 220. Calculate the remainder when i is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -18*r**2. Let y(z) = -z**2. Give t(b) - 6*y(b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165244 by -436.\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.715031 - 1.715. What is g rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 * -40.527\nAnswer: 3080.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3156, -3193, -3230, -3267, -3304?\n\"Answer: -37*u - 3119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 344, -1 in increasing order.\nAnswer: -8, -1, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -169, 2, -7 in descending order.\nAnswer: 5, 2, 1, -7, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 0.1.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbaaaabbabba. Give prob of sequence bab.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 3*t + 7*t. Let h = 2 - -1. Let c(u) = -h*u**2 - 6*u**2 + u**2 + 7*u**2. Calculate i(c(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87070?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 76*l - 283. Let i be v(-4). Solve -2*x + 14 = -3*c + 4, i*c - 10 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b + 10. What is the tens digit of 14 - 2*b\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -5*r + 54*n + 106, 8*n = -4*r + 6*n + 274 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2378 - 15?\nAnswer: 2363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346369 is divided by 23091.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i + 5*q + 995, -5*q - 3935 = -4*i. Let a = -681 + i. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 15*d**2 + 30*d - 29. Let c be a(-18). Suppose 0 = -3*k + c + 1829. Is k a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12757 is divided by 397.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318006?\nAnswer: 2, 127, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 123.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-28)\/g*g*g)\/g)\/g)\/g*g**(-6\/17) assuming g is positive.\nAnswer: g**(-499\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2\/5 + 21*c + 102\/5 = 0. Calculate c.\nAnswer: -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 31*n**6\/120 + n**5\/30 - n**4\/24 + 5*n**2. Let v be d(1). What is the highest common divisor of v and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 10 = -21*c + 20*c, 2*c - 13 = -5*k. Solve -c = -4*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 731, 2730, 6109, 10916, 17199, 25006?\n\"Answer: 8*g**3 + 642*g**2 + 17*g + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33, 28, 19, 6?\n\"Answer: -2*m**2 + m + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeexxeeeeeeer. What is prob of picking 1 e and 2 x?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-4 - 0) - -7) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -128326200 to the nearest 100000.\nAnswer: -128300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umzmzmuuzgmmuuez. Give prob of picking 1 z, 1 u, and 1 m.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.5 + 11. Let g = -9 - z. What is g rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0)\/(-2) - -1. Suppose w*k = 4 + 4. Let n be (1 + 0)\/((16\/12)\/k). Solve n*x - 3 + 15 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1131 * -6.18.\nAnswer: -6989.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - p - 2*p - 5*p + 30 - 30 + 0 + 0 + 2*p + (1 - 1 + 2*p)*(-3 + 2 + 3) + 6*p - 4*p - 3*p + p + p - p + p - 2 + 2.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 11*k - 12. Let y be v(12). Let l be (-1)\/(0 + 1) + 4. Suppose 0 = 5*d - 10*d + 20. Put d, l, y in increasing order.\nAnswer: y, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514985.\nAnswer: 5, 127, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 12*i**2 + 40*i + 6. Let c(t) = 13*t**2 + 58*t + 7. Give 4*c(y) - 5*d(y).\nAnswer: -8*y**2 + 32*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5028168 divided by -628521?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4813393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 816295853 to the power of 1\/3, to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 a, and 1 g when four letters picked without replacement from {k: 1, g: 1, a: 6, j: 3, m: 2}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (1 + sqrt(162) + 5)**2) + sqrt(162) - (-2*sqrt(200)*4)**2.\nAnswer: -12998 - 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/14*(-2577)\/(-3). Let l = w + -123. Let v = 79\/33 + -30\/11. Which is the second smallest value? (a) v (b) 15 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1458, -2017, -2944, -4239?\n\"Answer: -184*r**2 - 7*r - 1267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u - 4. Let h(j) = 1. Give -h(c) - r(c).\nAnswer: 5*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4883950929 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 512 or 504?\nAnswer: 512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 717713 + -1417913. What is c rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 86*n. Let u(o) = o**2. Calculate g(u(s)).\nAnswer: 86*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -69. Let k(a) = o*a**3 - 231 - a**3 - 4*a**2 + 234 - a. Let l(x) = 0*x**2 + 3*x**2 - 3*x + 4*x - 2. Determine -2*k(p) - 3*l(p).\nAnswer: 2*p**3 - p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181810987?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53151 is divided by 414.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-8)\/150)\/(174\/(-290))*(-10)\/12)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*l**3 + 709*j**3*l + 2*j*l**3 + 141*j*l - 346*l**3 wrt l.\nAnswer: 12*j**3*l + 12*j*l - 2076*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 17*t - 12 = 0. Solve 5*g = t*m - 8*m, -4*m - 16 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116823*o**5 - o**4*u**2 - o*u + 2*o - 2*u**2 + 171 wrt o?\nAnswer: 2336460*o**3 - 12*o**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1 - (-57 - -55)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -175 - -1577\/9. Let p = 5 + -7. Let n(l) = -2*l**3 - 3*l**2 - 2*l - 3. Let s be n(p). Which is the second smallest value? (a) 3 (b) s (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*20\/12*36\/10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 112953 or 112964?\nAnswer: 112964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Let c be (-176)\/(-5) - a\/10. What is the greatest common divisor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112 - -227\/2. Factor -1\/2*c**3 + 5\/2*c - 1\/2*c**2 - i.\nAnswer: -(c - 1)**2*(c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 5*w**6\/72 - w**3\/3 - 7*w**2\/2 - 244. Let q(g) be the third derivative of u(g). Let c(l) = 7*l. Determine q(c(m)).\nAnswer: 1225*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18098883*s**2 + 14510*s - 426 wrt s.\nAnswer: -36197766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**8\/320 - 19*q**6\/720 + q**4\/6 - 2*q. Let n(y) be the third derivative of u(y). Find the second derivative of n(m) wrt m.\nAnswer: 126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1719235770 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105287 is divided by 321?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4\/3 + 286435*t**3\/6 - 23870*t**2 - 286435*t\/6 + 71609\/3 = 0.\nAnswer: -143218, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 20 = -0*k. Let a be 16\/96 - (-2)\/(-12)*-1913. Suppose 0 = -10*w + 21 + a. What is the remainder when w is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 + 4 - 312549*m**2.\nAnswer: -312549*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.34 less than 0.1945?\nAnswer: 4.5345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from hhhljbbhhjjhbbjjhh.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 2591 = 2605 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79187280.\nAnswer: 2, 3, 5, 329947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4499948011 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7)\/a)\/a*a)**22*((a**1\/a*a)\/a)**(6\/23) assuming a is positive.\nAnswer: a**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -716, -708, -694, -674, -648, -616?\n\"Answer: 3*m**2 - m - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 15*q + 3. Let m be x(0). Solve -2*r + 8 = -5*i + 9*i, m*r = 2*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-105)\/12)*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. What is the units digit of (0 + m\/4)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12474965 divided by -1?\nAnswer: -12474965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k. Suppose -5*n = k, -4*i = -i + 4*n - 24. Suppose i*r - 4*r = 20. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1105 and 1417.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-192)\/(-46)*11 - (-460)\/5290. Calculate the highest common factor of 3772 and s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 + 2 + -1 + (11 - 26))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t + 6. Suppose 4*b - 12 = b. Let p be (-13)\/b - (-1)\/4. What are the prime factors of f(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 252.7?\nAnswer: -252.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**5 - 453*d**4 + 25134*d**3 - 117342*d**2 + 161109*d - 68445 = 0.\nAnswer: -195, 1, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 13. Solve 3*g - t + 0 = -3*u, -12 = -4*g - 2*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/21)\/(2\/14). Let a = z - 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 155*t**7\/42 - 727*t**3\/6 + 2*t**2 - 433. What is the first derivative of c(x) wrt x?\nAnswer: 3100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*g**3 + 24*g - 4*g**2 + 2*g**2 + 2*g**2 - 372 + 1039 wrt g?\nAnswer: 27*g**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otf when three letters picked without replacement from {j: 1, t: 1, u: 1, f: 1, m: 1, o: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0643 + 2363168813?\nAnswer: 2363168812.9357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -248556 divided by -462?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.98 - 3. Let y = -3917 + 3921. Let l be (1\/(-7))\/((-2)\/(-8)). Put 2\/9, v, y, l in increasing order.\nAnswer: l, v, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75200.91 milligrams to nanograms.\nAnswer: 75200910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-5))\/((-2180)\/(-100) + -22). Is z smaller than -1\/578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 25*z - 2. Let u(t) be the first derivative of -23*t**3\/3 + 12028. What is u(w(h))?\nAnswer: -14375*h**2 + 2300*h - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 414, 411, 408, 405, 402, 399?\n\"Answer: -3*t + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*t**3 + 15*t**3 - 17 - 8.\nAnswer: -17*t**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + 3 - 1 - 4)*(8 + 17 + 4) + d**4 + 3*d**3 - 3*d**3.\nAnswer: 59*d**4 - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37672 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 296 and 25234?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9534 and 56090111?\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**6\/72 + b**3\/3 - 1. Let v(c) be the third derivative of l(c). Let r(y) = -3*y**2. Determine v(r(p)).\nAnswer: 45*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 810382277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26804 + 26806. Which is the nearest to 1.6? (a) k (b) 0.1 (c) 0.15 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 2, -8, -5, -19853 in descending order.\nAnswer: 5, 2, -1, -5, -8, -19853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 120026369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.3, -3\/4, -187, 0.02, 2\/13?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 - 8. Let t(x) = x**2 - 3. Let n(c) = 3*l(c) - 8*t(c). Let i(o) = -7*o. What is n(i(a))?\nAnswer: 49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -53 + (3 - 0) + (209 - 196)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 8 = l, -81*l - 22 = -77*l - 30 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5879 - -8303. Suppose 8*r = t + 2616. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 314561732 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = 5*c + 92, -125*a = -250*a + 126*a - 4*c - 44 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + -1) - 6*sqrt(17)*-1.\nAnswer: 4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/2, 0.09, -5, 160 in decreasing order.\nAnswer: 160, 1\/2, 0.09, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 793472 divided by -128\nAnswer: -6199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 186.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c - -20?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*20*4*93\/(-992).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54.21 - -54. Let w = l + 1.24. Let n = 0.9 - w. What is n rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hehtbhntbthlehtnt. Give prob of picking 1 h and 1 n.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 50722*d - 1623098. Calculate a(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 68, 4, 0.4, 6\/13.\nAnswer: -0.1, 0.4, 6\/13, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.05, -47, 1\/3, 8?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642 (base 7) to base 11.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -76111 + -4?\nAnswer: -76115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 79*r**3 + 12*r**2. Let z(j) = 2924*j**3 + 442*j**2. What is -221*i(w) + 6*z(w)?\nAnswer: 85*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 1639.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-36)\/15*((-11790)\/54 - -15) and 96?\nAnswer: 5856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 2*o**2 - 4*o - 1. Suppose 2*p = -4*b + 18, -p + 6 + 5 = 4*b. Let n(h) = 3*h**3 + 7*h**2 - 12*h - 3. Calculate p*a(d) - 2*n(d).\nAnswer: d**3 - 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -84\/11 bigger than 15.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97 + 19 + 50 + -25.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -119 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*t - 879*m + 874*m = -234, 5*t + 5 = 3*m - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2751527938?\nAnswer: 2, 2699, 509731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in years?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 70*t**2 + 18*t + 17. Is z(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddddd. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -12, -2, -4, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p - 3. Determine j(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3 - -2)\/(-4 + 55\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 71424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y**2 - 2. Let s(o) be the second derivative of 7*o**3\/3 - o + 362. Determine s(t(g)).\nAnswer: -112*g**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2092\/33 - -690\/11. What is the nearest to -1 in -17, -10, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 9:32 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 18*c**2 + 4*c + 3. Suppose -3*x + 2*p = -19, -4*p - 4 = 16. Let n(g) = 1. Let k(l) = x*n(l) - w(l). Find the second derivative of k(b) wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -566 in descending order.\nAnswer: 2, 0, -566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3943.862km to nanometers.\nAnswer: 3943862000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 333131434 to the power of 1\/2, to the nearest integer?\nAnswer: 18252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.746 times 890.19?\nAnswer: 664.08174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17255 by 6.\nAnswer: -17255\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) -4 (c) 38 (d) -5 (e) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {c: 11, d: 1, r: 2, e: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -652\/7. What is the closest to -2 in 5, b, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1933a - -317?\nAnswer: 19655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/11)\/(p\/(p**19*p*p)))**(1\/21) assuming p is positive.\nAnswer: p**(73\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (-194474)\/21)\/(4\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3622 (b) -0.035 (c) 5 (d) 0.5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4809)\/1374*6\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77*24\/(-6864)*(-24)\/21?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 4*h**2 + 5*h + 5. Let b be q(5). Let r be 2 + 9\/(-5) - (-117)\/65. Solve 3*a - s = -11, -s - r*s = 5*a - b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*f - 12, -8*f + 3 = w - 12*f. What is the closest to 1 in 3\/7, 0.29, w, -0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 12 = 4*p, 2*p - w = 372 - 370 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aitfwffttfawrrwrw. What is prob of picking 1 r, 1 f, and 1 i?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/8 - 2640951*s\/4 - 2324874061467\/8.\nAnswer: -3*(s + 880317)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**2 - 9*p + 5. Let v(f) = 7*f - 8. Let d be v(2). Is w(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12742.\nAnswer: 2, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 27 + (-2 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r + 373 = 101 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 2112756?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q**2 + q + 7. Let d(c) be the third derivative of -c**5\/3 - c**4\/12 - 10*c**3\/3 - 4198*c**2. Calculate -6*d(h) - 17*y(h).\nAnswer: h**2 - 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3501 (base 7) to base 2\nAnswer: -10011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 7513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 320837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15719156?\nAnswer: -15719156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/33 (b) 0 (c) 3\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9512469?\nAnswer: 3, 17, 79, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 30 = -4*k. Let t(x) = 1. Let m(a) = 2*a - 8. Suppose -5 = -5*j - 5*o, -3*j + 3*o = -5 + 2. What is j*m(d) + k*t(d)?\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -3513, -6, -7, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166111815 and 8220?\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 = 3*a + 21, -18 = -4*x + a. Let w = 22 + -8. What is the least common multiple of w and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44391871, 44391870, 44391869, 44391868?\nAnswer: 44391867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2338278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*y = -30, -5*z = 3*y - 48462 + 48416 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/11 + 561038*r**3\/11 + 52459110054*r**2\/11 + 1634853168154570*r\/11 - 13082183015539664\/11.\nAnswer: 2*(r - 8)*(r + 93509)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -1 + 12\/(-4). Let i(x) = -x**2 - 3*x. Let y be i(c). Suppose l + 4*l - 95 = y. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 677*c + 49. Let t(h) = -123*h - 10. Let g(n) = -11*t(n) - 2*y(n). Let p(d) = -d + 18. Calculate 7*g(s) - 5*p(s).\nAnswer: -2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1)*(2 - 2). Let a be (x - 1)*0 + 2. Let h = 5 + -9. Put a, h, -3 in descending order.\nAnswer: a, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 1169 + 133 - 367 - 676 - 2*b.\nAnswer: -2*b - 2043","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b = 54*b - 27 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 642594924.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3)*r**(-32))**(-2\/139))**(-30\/13) assuming r is positive.\nAnswer: r**(-1880\/1807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-346)\/(-6) - 22\/33.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 973 and 637.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 66. Let y be n\/(-1*((-532)\/264 + 2)). Suppose 44 = 5*s - y. Sort -1, -5, s in decreasing order.\nAnswer: s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.95704ng to micrograms.\nAnswer: 0.02695704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23678 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/2, 2877\/8, 3\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 31*s**6\/30 - 23*s**4\/12 + 29*s. What is the third derivative of b(l) wrt l?\nAnswer: 744*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 15*h + 208. Let b(k) = 3*k**2. Calculate y(b(l)).\nAnswer: 45*l**2 + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*z - 2*r - 19, -5*r - 27 = 4*z. Let t = z + 8. Let y = -2354 + 2359. Which is the second smallest value? (a) y (b) -0.2 (c) 0.1 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 70152*k - 1230325776.\nAnswer: -(k - 35076)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {w: 1, u: 1, r: 6, g: 5, k: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/891840 and -45\/1864.\nAnswer: 207798720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1456, -17, -4, 2 in descending order.\nAnswer: 1456, 2, -2, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.127235 + 167128.872765. Let r = h + -167128.630038. Let d = -0.37 + r. What is d rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -200*f - 1786. Let s be y(-9). Solve s*w - 56*w + 168 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 10. Let c(s) = -8*s - 22. Let j(p) = -4*c(p) + 9*z(p). Let o(t) = 5*t**2 - t. Determine o(j(i)).\nAnswer: 125*i**2 - 105*i + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4 = 3*j + 7, 0 = 2*k + 5*j + 5. Suppose k = -0*n - n - 3. Let y = -5 - -8. What is the closest to -0.1 in n, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43498000 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -11 - -2) + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**7\/840 - z**6\/360 + 2*z**3\/3 - z**2. Let h(w) be the first derivative of o(w). Calculate h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/76813107 and 29\/131679612?\nAnswer: 921757284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 10*v**2 + 76*v + 16. Give p(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363032981.\nAnswer: 19, 19106999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 373 = 62. Calculate the least common multiple of k and 3.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**13))\/k**(-21) assuming k is positive.\nAnswer: k**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -947 + 950. Solve 0 = -m*u + 4 + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 12 = 7*m. Calculate the lowest common multiple of 16 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 3. Let b(v) = 1. Let o(w) = 3*b(w) + x(w). Let p(i) = i**2. Calculate o(p(l)).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 61 = -4*g. What is the units digit of 3\/6 + g\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1691 + 3673\/2. Let j = h + -144. Let s = -7\/3 + 11\/6. Which is the fourth biggest value? (a) j (b) s (c) -1 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2637 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 2706944.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 13 + 57 = 2*c, 188 = 5*b + 2*c. What is the greatest common divisor of 84 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**3 + 3 - 3 + (2*g - 4*g + 4*g)*(-3*g**2 + 4*g**2 - 2*g**2) + 0*g**3 - g**3 + 3*g**3 + (-4 + 6 - 3)*(-3*g**3 + g**3 + 3*g**3).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*i - 90 + 252, -4*i = 5*c - 270. Calculate the remainder when c is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*g**3*y**2 - 7*g**3*y + 4*g**2*y + 4*g*y**2 + 2*g wrt y.\nAnswer: -162*g**3 + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4038 + -4032. Is y greater than 133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -18. Suppose 0 = -2*d - 5*p + 43, -3*p = -10*d + 5*d + 92. Suppose -5*l - 2*z = d, h*z + 2 = -l + z. Does l = -9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/4 - j. Let u(h) = h. Give c(u(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 113*p**3 - 17970*p**2 - 190493*p + 5070.\nAnswer: (p - 169)*(p + 10)*(113*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/4 and 53\/62?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeaaeeeeeeeeea. Give prob of sequence aea.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 - -100011011?\nAnswer: 100011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b5c09 (base 16) in base 9?\nAnswer: -5310853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*o - 128, -5*o = -8*o - 2*r + 82. Let m be (18\/4)\/(1\/6). Suppose -m*j + 3 = -o*j. Solve 2*b + 13 = j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**(3\/4)\/p)*p)*p**5)\/(p**(1\/4)*((p\/((p*p*(p\/(p**(8\/5)*p))\/p*p)\/p)*p)\/p*p)\/p))**26 assuming p is positive.\nAnswer: p**(247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abbaurzr. What is prob of picking 1 r, 2 a, and 1 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 18*b**2 + 30*b - 28. Let j be k(-16). Solve -y + 8 - 1 = -j*o, 5*y - 5 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 5*o - 45, 372*y = 407*y + o + 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r - 18*r - 2 = 5*b, -5*r + 17 = b. Calculate the highest common factor of 5 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 13 + 3*u**3 - u**2 to n*u**3 + w + z*u + k*u**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 6\/3 + -2. Suppose u*m - m = 3. Suppose -2*l + m*x = -18, -2*l = l - x - 13. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26477 and 4034796?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -5 + -10 + 53?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5621 and 335654.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 55626720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 13 = -5*r - 27 + 114, -r - 3*a - 5 = 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (1 - (-6 - 8)) - -21.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 7 = 11. Let p(a) = 578*a**2 - 281*a**2 - 285*a**i. Let c(h) = h**2 - h. Let q(j) = -5*j**2 + 3*j. Let n(t) = -3*c(t) - q(t). Determine n(p(s)).\nAnswer: 288*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302110 (base 4) in base 8?\nAnswer: 16224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5660781.\nAnswer: 3, 7, 269561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*r**2*w - 3*r**2 + 17*r*w - 3*r + 8624*w wrt r.\nAnswer: 174*r*w - 6*r + 17*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44205, -43963, -43723, -43485, -43249, -43015?\nAnswer: -42783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 20*p + 20. Let q be z(-10). Suppose 12 - q = -4*j. Factor 5*m + 7 - 5*m**2 - 4 - m**2 + 8*m**j.\nAnswer: (m + 1)*(2*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 - 496*m\/7 + 1000\/7.\nAnswer: -2*(m - 2)*(m + 250)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:14 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 138.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3257, 13011, 29259, 52001, 81237, 116967?\nAnswer: 159191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 63*d + 3941. What is p(-60)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 375*c + 461*c - 115*c + 28*c to the form b + y*c and give y.\nAnswer: 749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**34\/b**(-17) assuming b is positive.\nAnswer: b**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011638674 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(13)*-1 - 5*sqrt(832))**2 + (-4*(sqrt(1300) + -2 + sqrt(325) + 0 + sqrt(325)))**2.\nAnswer: -1280*sqrt(13) + 107301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29, 1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -0.4, 0.5, 0.1, -0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 - o + o + (13*o - 13*o + 5*o**2)*(-o**2 - 2*o + 2*o) + (2*o**3 + 3*o**2 - 3*o**2)*(-9 + 32 - 20 - 5*o).\nAnswer: -16*o**4 + 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w + 2848 = 4*u, -2*w = -3*u - 1429. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 2*q - 17. What is v(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*a - 983 = 0, a - 2*a = -2*p + 977. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/323 in -1, -1\/2, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 26. Calculate the lowest common multiple of g and 6*4\/(8 - 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from mhmpp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39501?\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6*j = 0. Let r be (-2)\/(-4) - (-2)\/(-4). Suppose -w + 2*n - 5 = j, r*n = 5*w - 5*n. Sort 3\/7, -3\/4, w in decreasing order.\nAnswer: w, 3\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-672)\/126*1\/(-2)*1092\/(-56).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1405606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329433*v = 329420*v - 403 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*u**2 - u**3 + 57*u**2 - u**3 + 47*u**2 - 3*u**4 in the form z*u + q + m*u**2 + h*u**3 + a*u**4 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4915?\nAnswer: 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000189630849 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1737*i + 29*i - 1983*i - 783*i)*(-2 + 2 + 5*i) + 0*i**2 - 4*i**2 + 2*i**2.\nAnswer: -22372*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/22)\/((10\/13)\/(-5))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1461.86744 to the nearest 10.\nAnswer: -1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5 + 76*t**4 - 940*t**3 + 4624*t**2 - 10048*t + 7936.\nAnswer: -(t - 62)*(t - 4)**3*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 431795*m - 30250150.\nAnswer: 5*(m - 70)*(m + 86429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of ((-2)\/(-3 + -3))\/(7\/4074)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 86*t - 61*t - 250*t - t + 60*t in the form c + x*t and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185040 and 900?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6829, -13573, -20185, -26599, -32749?\n\"Answer: 11*u**3 - 6821*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 + 34*r**2 + 37*r - 3. Let c be i(18). What is the second derivative of 184*p**4 - c - p + 19 + 19 wrt p?\nAnswer: 2208*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 + (10 - 14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - 4*h**2 - 57*h**2 + (3*h - 7*h + h)*(-29*h + 12*h - 7 + 15*h).\nAnswer: -57*h**2 + 21*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/28 - 158\/8. Let x be 2\/6 + p\/(-12). Is 6 a factor of (1 - x)*(1 + -14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/18*-2)\/(14\/14)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -317 + 146. Let r = g + 170.562. Let d = 0.43583 + r. What is d rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-70)*(-21)\/(-6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 10*t**3 + 4*t**2 + 4*t - 4. Suppose 18 = 8*z + 26. Let d(v) = v**2 + v - 1. Calculate z*u(f) + 4*d(f).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -194794*z**2 + 3*z + 5199384.\nAnswer: -389588*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 50254674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -50351 (base 6) in base 12?\nAnswer: -39b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 62 - 70 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n + 11. Let g(w) = 5 + 3*w + 2 - 4 + w. Let l(m) = 6*a(m) - 22*g(m). Let y be l(1). Solve y = -3*d - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2 + 12*x + 10 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-684)\/(-34) - -2) + (-10)\/85. Suppose p*j + 44 - 132 = 0. Solve -j*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(50\/(-4)) - 54\/(-10). Sort -4, 1, y in ascending order.\nAnswer: -4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.916556 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 41*x**3 - 6 + 6.\nAnswer: 41*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-534)\/24 + 1\/4. Let t = f - -20. Let w be 7 + t + (-8)\/2. Solve -5*p = 4*d - 29, -4*d - w*p = -6 - 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/495, 26, -0.5.\nAnswer: -0.5, 2\/495, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - u + 12. Suppose -5*w + 35 = u*l, 2*w = -4*l - 6 + 36. Suppose w*t = 54 + 56. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n*n*n**(-4)*n)\/n)\/n*n))**(9\/5)*n**(-7\/6)*n**(-14) assuming n is positive.\nAnswer: n**(-293\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 + -67. What is the third smallest value in 0.2, -1\/3, b, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.03319 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f. Let s(i) = i**2 + 11*i - 24. Let h be s(-13). Suppose 5*t - h = -27. Let m(c) = -20*c. Calculate t*m(k) + 12*o(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 3*h**2 + 3*h - 3. Give p(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-13)*(-1261)\/(-388)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -135\/3049 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 25*g**2 - 158*g + 36. Calculate y(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -131, -1, 41, 1 in ascending order.\nAnswer: -131, -3, -1, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30581\/5 - -6116. Which is the nearest to 2\/3? (a) q (b) -3 (c) 9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 6. Suppose 4*c - 5*y = 6, -5*c + y + 0 = -18. Sort c, j, 0 in descending order.\nAnswer: c, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 - 109.99999848. What is q rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16315039 a multiple of 1391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -777*i - 949. What are the prime factors of w(-31)?\nAnswer: 2, 23, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14723389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -632774204 to the nearest 100000.\nAnswer: -632800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*b + 3*s - 42 = 0, 9*s - 14*s = -5*b - 3*s - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34937 + 34949. Suppose 6 = 2*i, 0*u - 3*u + 24 = -3*i. Which is bigger: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25035 and 485?\nAnswer: 2428395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 49, 59, 21, -95?\n\"Answer: -5*p**3 + 21*p**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.3 + -20.14. Let h = p + 0.14. Let z = h + -3.3. What is the nearest to 0 in z, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p + 868. Let k = p - 154. Suppose -3*j - 3*y = -k, -j + 3*y + 6 = -3. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65136 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121674772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*z - 169 = -3*z, 225 = 5*o - 4*z. Solve -13 = 7*m - o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/56)\/((-4)\/(-24))*30\/(-45).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1406 = 17*o - 1525. Let k(g) = 3*g - 12. Let r(m) = 2*m - 6. Give o*r(d) - 4*k(d).\nAnswer: 2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**5\/60 - 5*d**4\/24 + d**3 - d**2 + 118. Let t(f) = -f**2 + f. Let p be t(3). Let k be i(p). Solve 0 = h - k - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 2. Let k(a) = a - 3. Let m(d) = 2*k(d) - 3*y(d). Let h(c) be the third derivative of -c**4\/24 + 2*c**2. What is h(m(b))?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o. Let k(a) = -2*a**2 - 3*a + 199. Calculate x(k(i)).\nAnswer: 4*i**2 + 6*i - 398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126213443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 g, and 1 p when four letters picked without replacement from {m: 2, a: 1, p: 1, l: 2, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-453308)\/10)\/(18\/(-45)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 30 = 3*s - 5, -53 = -3*a - 5*s. Suppose -4*y = -a, -14 = -z - z - y. Solve o - 4 = 5*q - 1, 0 = -4*o - z*q + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1289 - 1292. What is the biggest value in 1, 2, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 186\/36)\/((-2)\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = -19*h + 24*h, -2*h + 3*w = 5. Find a such that 3\/7 - 3\/7*a**h + 0*a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 6*q**2 + 5*q + 2. Let z be l(4). Let s be (-24)\/(-10) + z\/25. What is the derivative of -2 + 3 - s + 5 - u wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.7146 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 d, and 1 v when three letters picked without replacement from {z: 2, v: 2, p: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/(30\/(-8)*(-24)\/120). Let y(l) = 2*l**3 - 4*l**2 + 4*l - 2. Let a be y(2). List the prime factors of a*(i\/8)\/(-1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82164.\nAnswer: 2, 3, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/6201 and -89\/8745.\nAnswer: 341055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1852*g = 284*g - 2394456. Factor -g*m + 3481\/3 - 39*m**2 - 1\/3*m**3.\nAnswer: -(m - 1)*(m + 59)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -16*h**3 - 5*h**2 + 3. Let a(v) = 24*v**3 - 6*v**2 - 1 + 7*v**2 - 23*v**3. Calculate -3*a(g) - k(g).\nAnswer: 13*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfrvfftqvffrff. Give prob of picking 1 r, 1 f, and 1 t.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yddyyyydyyy. What is prob of sequence yd?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1705 - (1 - (-1 - -2)). Suppose -6*r = -r - o. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -13, -42, -103, -208, -369, -598, -907?\nAnswer: -1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 4*f. Suppose -43*w + 44*w = 20. Suppose f = -2*k + w + 12. What is the remainder when 29 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*j**3 + 346*c*j**2*s + 3*c*j*s - c*j + 1938*c*s + c + j**3 - 1 wrt j?\nAnswer: -12*c*j + 692*c*s + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-six fifths of a micrometer?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/3720 and (-56219461)\/(-6256110) + (-2)\/2*9.\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0 - 3 = 0. Let h = -0.01077 + 45.01077. Which is the nearest to t? (a) -0.5 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 + 3*b**5 - 3*b**5 + (-2*b**4 - b + b)*(1 + 3 - 2)*(2 - b - 2 - b + 2*b + b + (-5 + 3 + 1)*(-2*b + 0*b + 0*b) - 4*b - 1 + 1).\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384, 344, 266, 138, -52, -316, -666?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72507 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 24. Suppose -5*d + 3*d = r. Let t be (d\/6)\/((-15)\/(-9)). Which is the nearest to -0.1? (a) 3 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*u + 92*u + 96*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -4*b - 3 - 16, 0 = -5*j + 2*b - 43 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3\/4 (b) 5\/28 (c) 0 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let q be -1*(7 + 0) + -1. Let o be 3\/t*q\/(-12). Solve -3*m - 8 = 4*a, 3*a - o = -m - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 1:28 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 36 = -2*a, 41*a + 5*z - 42 = 37*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102213 is divided by 14595?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -1 + 0*b**4 + 1\/15*b**6 + b**2 + 0*b**5 + 2*b + 0*b**3. Let j(r) be the first derivative of u(r). Differentiate j(k) wrt k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -206 - -223.1. Let m = 17 - t. Let w = 17 + -16.5. What is the second smallest value in w, 3, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 170 + 173 - 7 = 0. What is the highest common factor of t and 2340?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -12 - -1) + (35 - 154 - -42).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/((-8120)\/638)*24\/(-44)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 87*i - 89*i - 86, -z = -13*i + 56 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5\/3 - 587*p**4 - 15093*p**3 - 293215*p**2\/3.\nAnswer: -p**2*(p + 13)**2*(p + 1735)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 484 and 4400.\nAnswer: 48400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 430 - -51. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 25, -2*b + 0 = 5*n + 7. Suppose 3*h - 324 = -9*h. Calculate the greatest common divisor of h and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 18 = -8. Is h equal to 134\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11816, -23639, -35462, -47285, -59108?\n\"Answer: -11823*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 267 + -221. Which is smaller: s or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025768 to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 25*l**2 + 63*l + 35. Is b(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 46 = -0*n + x, -x + 104 = 2*n. What are the prime factors of 1936\/220*1\/(4\/n)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857207 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4)*-2) + 3 + sqrt(1573).\nAnswer: 3 + 21*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2\/9 - 1067*r\/9 + 476 = 0.\nAnswer: -1071, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u**3 - 145*u**2 - 100*u + 60 = 0. Calculate u.\nAnswer: -2, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**5\/10 - 2*l**2 - 77*l. Let a(n) = -23*n. Determine f(a(d)).\nAnswer: -3174*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5 = -f, f + 3*p - 6 = -2*f. Suppose -f*j = y - 2, 0*y = 4*j + 2*y. Suppose -j*g + 12 + 4 = 5*z, -4*z = 0. Solve -g = t - 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9 (b) -1\/5 (c) 18.8 (d) -0.18 (e) 0.08 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349 - 349 - l**2 + 13*l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250689 is divided by 5859?\nAnswer: 4611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11 + 2\/11*f**2 + 4\/11*f = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - j - 1. Let v be r(-1). Suppose 2*p - y - 18 = 0, v*y - 4 = -0. What is the greatest common divisor of p and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6175 is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -21*l - 29. Let z(q) = -5*q + 1. Let c(w) = -4*k(w) + 20*z(w). Let x be c(8). Is x >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m. Let z be (11\/((-66)\/(-4)))\/((-6)\/(-81)). Let g(c) = -z*c**2 - 11*c**2 + 7*c**2 - 5*c**2. Give d(g(y)).\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*t = 4447*t + 272340 for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 185\/(-20) - (-4)\/16. Let o(p) be the third derivative of p**6\/120 + p**5\/6 + 3*p**4\/8 - p**3\/6 + 158*p**2. Calculate o(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 2*a + 3. Determine t(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/14912899?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -4. Let r = 0.046 - -0.154. Which is the closest to -3? (a) r (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4345 is divided by 721?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((20\/(-15))\/(-2))\/((-4)\/(-30)). Is 5 a factor of (n\/(-2))\/(2\/(-164))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 + -114.2. Let d = 30328.200558 + -30329. Let i = d + j. What is i rounded to 5 decimal places?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.4, -85?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, -4, -57\/5, 0.2, -0.0182, -0.11, 5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -41*f + 13 - 4 + f**2 + 47*f = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from {l: 1, e: 2, u: 4, m: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62621990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -11100?\nAnswer: 11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by -639\nAnswer: 6\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180654511.\nAnswer: 47, 3843713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10344 (base 5) to base 16\nAnswer: 2d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*(z**2*z)\/z)))**(-36)\/(z\/(z\/(((z\/(z*z**(-1\/13)*z)*z*z)\/z)\/z))*(z*z**(-4))\/z)*((z**(-2\/7))**(-27))**(-3\/26) assuming z is positive.\nAnswer: z**(-9461\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 32 = -11*n. Suppose -n*v - 3*t = -360, -t = -4*v + 216 + 128. Calculate the greatest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152.14 - -148. Let y = -0.14 - x. Let d = 12\/41 - 2\/287. Which is the second biggest value? (a) y (b) 4\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 14767*s + 1555. Is j(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 4*q + 12, -3*q - 12 + 3 = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*h - 2\/3*h**4 - 1\/2*h**3 + 0 + 2\/3*h**2 - 1\/6*h**5 = 0 for h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37785637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (170 - 691 + 204 + 237)*(-1 + 1 - c + (-c - 1 + 1)*(3 + 1 - 3)) + 5*c - 5*c + 2*c as m + n*c and give n.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2485312 is divided by 225935.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h**2 + 3*h**3 + h - 4*h**3 - 9 - 1 + 7*h**2. Calculate n(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464 - 491 + 1389 - 432 + 72*t.\nAnswer: 72*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2839482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54 or 52?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -7356?\nAnswer: -7359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 72540?\nAnswer: 72540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*y**4 - y**4 - y**3 + 0*y**3 to t*y + l*y**3 + p*y**4 + a*y**2 + b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11765 is divided by 149.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaawiiwa. Give prob of sequence aiw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 358*q - 2320 = -0*b - 106*q, 87 = -4*b + 2*q + 77 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j, 3*j - 27 = 1656*b - 1653*b + 6*j for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**7\/210 - 223*z**5\/60 - 443*z**3\/3 - 41*z**2 - z. What is the first derivative of a(l) wrt l?\nAnswer: 4*l**3 - 446*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161589688 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10610663 a multiple of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 32*u. Let v(c) = -225731*c**2 - 54*c. What is y(v(j))?\nAnswer: -7223392*j**2 - 1728*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a + 22. Let p be l(8). Let t = p - 91. Solve 4*m = 1 + t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.29 - 25.35. Which is the nearest to i? (a) -4 (b) 2\/7 (c) 2\/13 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28515, 28504, 28493, 28482, 28471?\n\"Answer: -11*j + 28526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -17) + 0 + 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9950\/70987 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 48 = 8*f. Let z = 24 + f. Let j(g) = -g - 2. Determine j(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41011 + 278?\nAnswer: 41289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 12:54 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 27 = 3*m, 0 = -3*m - 2*r - 3*r - 3. Suppose 0*p + 2*y = -p + 4, -2*p + m*y - 8 = 0. Solve -4 = -t - p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 323*y - 326*y - p - 21, -5*y - 5*p = 45 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -0.26 (c) 0.01 (d) 0.208 (e) 5\/3 (f) -0.3 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 3*m = -6. Suppose -5*s - 41 + 11 = m*x, -s = 2*x + 38. Let b = -13 - x. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1797 + 1270. Let u = 537 + a. Suppose 5*t + 9 - 64 = 0. What is the smallest common multiple of t and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5 - 36*m**4 + 99*m**3 + 102*m**2 - 252*m - 216 = 0. Calculate m.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4*p - 2 = 0, -7*p = -10*p - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79.5 + -61.59. Let w = i + -18. What is w rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -203.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*((1 - -4) + (-344)\/72). Let q(a) = 29*a + 85*a**w + 35*a**2 - 42*a - 2 + 13*a. Let h(y) = 2*y**2. Give h(q(n)).\nAnswer: 28800*n**4 - 960*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -124778538, -124778533, -124778528, -124778523, -124778518?\n\"Answer: 5*v - 124778543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let i be 1 - (-3)\/(-2 - -5). Let f = i - 0. Let a(t) = -1 - 3 + 4 + t**f. Determine a(d(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -153245?\nAnswer: -153250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w - w)*(-492*w - 4579*w - 1566*w).\nAnswer: -6637*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(252\/(-10))*64\/160.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4433380 and 2688?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, m: 1, w: 5}. Give prob of picking 1 w and 2 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 924 and 29260?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + c + 0*c)*(-35 + 50*c**2 - 37 + c**3 + 71).\nAnswer: -2*c**4 - 100*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -497.\nAnswer: -49.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1296 + 2137. Suppose -k - 318 = -19*g. Calculate the remainder when 182 is divided by g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2304244 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k - 37*k = -4. Solve -38 + 36 = -k*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 48 = -5*k. Let m be (86\/42 + k\/(-21))*15. Does 14 divide (1 - -3)*-2*m\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55080 and 67716.\nAnswer: 11511720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -4*m - 5, -4 = 7*x - 9*x - m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 117*p + 1093. What is n(-9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 537665625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 22*r + 62. What is x(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 820 and -5.178.\nAnswer: -4245.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -7. Let a = 14 + s. Let w = -7 + a. Let g(n) = -n**3 - n**2 + 4*n + 4. What is g(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 < 12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 13*k - 45. Let q be g(16). Suppose q*r - 120 - 120 = 0. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 - 3*p + 88*p + 0*p + (2*p**4 - 101*p**4 - 27*p**4)*(2 + 5*p + p - 5*p).\nAnswer: -128*p**5 - 252*p**4 + 85*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(12\/(-1440)*-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**4 + 5 - 53*z - 3 + 17*z**4 + z**4 + 50*z - 2*z**3 in the form u*z**3 + w*z**4 + k*z + h + v*z**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393 a factor of 192775546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 37876475*t - 37876474.\nAnswer: -(t + 1)*(t + 37876474)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*y + 3*y - 5*y)*(0 + 1 + 1) - 4 - 2*y + 4)*(-2 + 4 - 3)*(4 + 0 - 2).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, d: 7, e: 1, g: 8}. Give prob of picking 2 r.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**2 + 11*x. Let c(d) = 3*d + 3*d**2 - 2*d + 4*d. Let i(t) = 13*c(t) - 6*w(t). What is the second derivative of i(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 12.2. Let i = -0.7 + 0.5. What is the nearest to 0.1 in h, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -263\/323 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2528098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3501 is divided by 206?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*k**2 + 64*d**3*k + 2*d + 881*k**2 wrt d?\nAnswer: 6*d*k**2 + 384*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 2*w + w)*(w**2 - 2*w**2 - w**2) - w**3 + 4*w - 4*w + (-7160 + 7160 - 124*w**3)*(-2 + 7 - 2).\nAnswer: -369*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33813 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 8:54 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/27 - (-7)\/(-1 + 2). Let l(s) = -17*s**2 + 9890*s + v*s**2 - 9890*s. Let n(g) = -6*g. Give l(n(b)).\nAnswer: -396*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**2 + 2*o**2 - 15*o**2.\nAnswer: -23*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*o**2 - 794195*o + 6380 - 5*o**3 + 0*o**2 - 3*o**2 + o**2 + 794163*o wrt o.\nAnswer: -15*o**2 - 4*o - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4628495 to the power of 1\/2, to the nearest integer?\nAnswer: 2151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17463, -17497, -17529, -17559, -17587, -17613?\n\"Answer: s**2 - 37*s - 17427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -96 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4383, 8767, 13151?\n\"Answer: 4384*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 23. Solve 2*d + u = -2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22340283 is divided by 57578?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (-2)\/4*-2. Let m = 41 + -68. Let o be m\/6*n\/(-3). Solve o*b + 10 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2076843 times 4\nAnswer: 8307372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) 1 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 997624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21289*c + 29*c + 228*c - 1682560 = 0 for c.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 - -12. Let n = 75 + -110. Let c = f + n. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*l - 12*l + 4*i + 32, 2*l + i - 7 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 9. Let n be a(11). Let j(q) = 7*q**2 - 18*q**n + 2*q**2. Let y(r) be the third derivative of -r**4\/12 - 8*r**2. Give j(y(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4 - 0) + 3 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4843, -5414, -5983, -6550, -7115, -7678?\nAnswer: -8239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -15*q**2 - 4664*q + 315. Calculate r(-311).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 16 = -4*c, -6*c = -103*t + 100*t - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -27102 divided by -1\nAnswer: 27102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1215*o + 45 = -1224*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, y: 1, k: 1, m: 5, q: 3, z: 2}. Give prob of sequence ymz.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 38. Sort f, -0.5, 5 in decreasing order.\nAnswer: f, 5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -374.57 to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 5*c**2 - 5*c**3 + 0*c**3 + 2*c**3 - 6*c**2 - 3 to t*c**3 + d + p*c**2 + h*c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 + 2.3. Let q = 0.019 + -2.719. Let d = -3 - q. Which is the nearest to l? (a) 5 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6240 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1022 = 2*j, -2*m - 3*m + 2*j + 1300 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.091, -23, -7, 1\/85, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from snonssoss?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 570*t**3 + t**2 - t**2 + 141*t**3.\nAnswer: 711*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + m**2 + m - 8. Let l be n(0). Let t(v) = v**2 - 14*v + 5. Let u be t(11). Let f be (l\/u)\/(2\/14). Sort -1, -5, f.\nAnswer: -5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -242, -450, -660, -872, -1086, -1302, -1520?\n\"Answer: -t**2 - 205*t - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-24)\/14)\/((-225)\/350).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c. Let m(h) be the second derivative of 85*h**4\/12 + 513*h. Calculate y(m(z)).\nAnswer: -85*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:53 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28058 = 2063*a - 21454 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 + 20*a - 123. Let b be o(18). Let s = -708 - b. What is the lowest common multiple of 30 and s?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:24 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(-1))\/q)**(9\/8)\/(q*q\/(q\/(q\/((q*q**1*q)\/q))))**40)**(-1\/3))**(-41) assuming q is positive.\nAnswer: q**(123\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (53 - -13 - 13)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*(c\/(c**(-3\/8)*c))\/c)*c*c*c)\/(c\/c**9)*((c\/c**(-1\/3))\/c)\/(c**3*c))**(19\/4) assuming c is positive.\nAnswer: c**(4085\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 292*l**2 + 2*l - 3*l.\nAnswer: 292*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -2*r**6\/15 - 22*r**5\/5 - 20*r**4 - 116*r**3\/3 - 38*r**2 - 90*r + 2. Factor p(l).\nAnswer: -4*(l + 1)**3*(l + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245920 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5226022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3511, 3554, 3649, 3820, 4091, 4486, 5029, 5744?\n\"Answer: 4*h**3 + 2*h**2 + 9*h + 3496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 - 130. Let w(b) = 3*b - 2. Give w(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 21 = -y + 2*y, -3*y + 29 = i. Calculate the remainder when 31 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5063 + 9772. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 25*f - 4. Let w(b) = -b + 1. Let v(l) = -5. Let z(h) = v(h) + 6*w(h). What is -2*c(j) - 9*z(j)?\nAnswer: 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**6\/120 + 13*r**5\/60 + 13*r**4\/24 + 2*r**3\/3 - 5*r**2. Let l be z(14). Which is smaller: -9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 379 = -71. Calculate the remainder when 42 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 2*c**2 + 3*c)*(-3 + 1 - 1) + (c + c - 3*c)*(-c + 4*c - 2*c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 + 8*o + 17*o + 2*o**2 - o**3 - 26*o to n*o**2 + d*o**3 + g*o + i and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 - -124.8. What is the second smallest value in y, -3, -1, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.54896 rounded to one decimal place?\nAnswer: 53.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41858806 less than or equal to 209294037\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45040 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 501326804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179380 by -1.\nAnswer: -179380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 528176 and 594198.\nAnswer: 4753584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49776226 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + -0.014. Let u = 0.00600141 - m. Round u to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(2\/(4\/(-6))*((-2716)\/28)\/(-1261)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(84)*4)\/(sqrt(400)*1 + sqrt(400)))\/(sqrt(49)\/sqrt(7)*-5 + sqrt(28)\/(sqrt(24)\/sqrt(6))).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9084675 to the nearest integer?\nAnswer: 3014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 27471 * 35.3\nAnswer: 969726.3","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 695 - 348 - 347 + 657*z to v + b*z and give b.\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5449, -5469, -5489, -5509, -5529, -5549?\nAnswer: -5569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3630216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*f - 181*f = 75*f - 6255 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 242*c - 4*c**2 + 87*c**4 + 11*c**2 - 7*c**2 + 2*c**5 - 14*c**4 wrt c?\nAnswer: 40*c**3 + 876*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63317 minus -37123?\nAnswer: 37122.36683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-7) - 6186\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1 (c) 0 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*7\/49.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 7 (b) 2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-32))\/(6\/(-4)). Let k(q) = -q**2 + 4*q - 3. Let g be k(2). Let o be 4 + (1 - g)\/(-2). Which is the third biggest value? (a) m (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 90 - 4a1b49?\nAnswer: -4a1a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/19)*v\/(v\/(v**(3\/8)*v)*v*v)*v assuming v is positive.\nAnswer: v**(89\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -912 divided by 57?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 2. Let s(a) = 8*a. What is b(s(h))?\nAnswer: 16*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 941654, 941666, 941688, 941720?\n\"Answer: 5*k**2 - 3*k + 941652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 44. Suppose 3*c + 4*m + 27434975 + 29295045 = 0, -2*c - 4*m - 37820020 = f. What is c rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 424334, 424335, 424334, 424331?\nAnswer: 424326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*n - 16*n - 2 - 3 to the form d + a*n and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -68425441.9 to the nearest one thousand.\nAnswer: -68425000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 - -73. Let t(o) = o**2 - 5*o - 3. What are the prime factors of t(s)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26.2 and -0.07?\nAnswer: -1.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24577875 divided by -21.\nAnswer: -1170375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -5479747.\nAnswer: 11\/5479747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1365*g**2 - 5466*g - 24.\nAnswer: -3*(g + 4)*(455*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/3))**(-1\/13)*(m\/(m*m**(2\/35)))\/m**(1\/9))**(-24) assuming m is positive.\nAnswer: m**(8872\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117*l**3 - 96*l**3 - 124*l + 116*l**3 wrt l.\nAnswer: -582*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*c**3*u - 7862808*c**2*u**2*v + 23*u**2*v - 2*u**2 + 3*u*v - 63*v + 144 wrt c?\nAnswer: -84*c**2*u - 15725616*c*u**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - h**2 + 1. Let q be 0*2\/4 + -1. Let p(n) be the first derivative of n**3\/3 + 2*n + 19. What is q*p(t) + b(t)?\nAnswer: t**3 - 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h**2 + 3914*h + 29848 = 0. Calculate h.\nAnswer: -52\/7, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + 2*v**2 - v. Suppose -3*u - 7 + 1 = -3*t, 2*t = 0. Let k be r(u). Does 13 divide (-2)\/k - 1972\/(-51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84 - 92) + 17 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*c**3 - 6*c + 7*c**2 + 37*c**3 - 508 + 8*c**2 + 484.\nAnswer: -3*(c - 4)*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2 + 86*g + 87 = 0.\nAnswer: -1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 226370759 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 18. Let k be (2 + -3 - 0)\/(29\/(6786\/(-18))). Solve i*j = k*j + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1086368211 and 9546.\nAnswer: 4773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23520*d - 20102*d + 458012 = 0 for d.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8*w = -13*w - 442, -5*t - w - 2306 = 0. Is t\/(-11)*(-1 + 6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + n**3 - 18 + 2*n + 2*n**4 + 17 in the form a + c*n**2 + r*n**3 + v*n + m*n**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, -6, -52, -134, -264, -454, -716?\n\"Answer: -2*d**3 - 8*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 498881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001244 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2. Let v(l) = 1. Let i(a) = 7*a - 6. Let b(p) = -i(p) - 6*v(p). Calculate j(b(k)).\nAnswer: -147*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 1354 - 24089 = 0. List the prime factors of x.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 2:13 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -34*m**3 - 27*m**2 + 66*m + 191. Determine i(-3).\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186980 and 2056780?\nAnswer: 2056780","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -13*g + 12. Let t(d) = 1266*d + 45. Determine t(x(r)).\nAnswer: -16458*r + 15237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 322841 to the power of 1\/2, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27301103, -27301104, -27301105, -27301106?\n\"Answer: -b - 27301102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75116454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/27 and 15\/105 - 869\/252?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 6. Let b be -1*5\/(-25) - (-2)\/(-10). Give m(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1) + (-15)\/(-5). Suppose -w - 4*x + 90 = -s*x, -3*x + 458 = 5*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.1, -1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 5. Suppose 3*u + 9 = -b, 5*b - 3 = b + u. Suppose b = -5*i + 25, -4*g - i = 3*i - 12. What is the second smallest value in -3, a, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135211 - -103200?\nAnswer: -32011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 3*m - 3. Let g(z) = -z**2 + 4*z + 4. Let i(p) = -3*g(p) - 4*l(p). Let o(c) = 24*c - 18*c - 2*c. Calculate i(o(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 146, 143, 118, 65?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 77.2 times -893\nAnswer: -68939.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 2*a - 10. Determine t(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*g - 35, -g + 2*u = -0*g - 17. Calculate the remainder when 25 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 584707, 584706, 584705, 584704, 584703?\nAnswer: 584702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*h**3 - 52*h**3 + 89*h**3 + (2*h + 3*h - 3*h)*(-h**2 - h**2 + h**2) - 2 + 14*h**3 + 2.\nAnswer: 146*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**3\/3 + 2*w + 13. Let h(o) = -7*o**2 - 2. Let b(k) = 15*k**2 + 4. Let v(l) = 6*b(l) + 13*h(l). Give 4*c(u) + 5*v(u).\nAnswer: -u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -352898.8 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1923 = -19*u + 8250. Calculate the highest common factor of u and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492824701 to the power of 1\/3, to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -1049.167 and -77279.\nAnswer: -78328.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63862 and 15614?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(2662) - sqrt(2662))\/(sqrt(16)\/sqrt(2) - sqrt(2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/366920 and 91\/220152.\nAnswer: 1100760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.9642 days in nanoseconds?\nAnswer: 27817706880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - -10002010020?\nAnswer: 10002002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214780 by -10739.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w - 35*w = 228. Suppose -w*f = -36*f - 20. Let j = -39 + 77. Calculate the remainder when j is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - (-1 + (12 - -14)) - -4.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 444375583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-332 + 6*c + 332)*(-2 + 3 + 1)*(-4 - 4 + 3)*(1 - 1 - 1 + 10 - 5 + 4 + (-2 + 0 + 1)*(-3 + 1 + 1) + 4 + 4 - 6) to the form a + l*c and give l.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 129? (a) 0.23 (b) -2\/13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72048 and 72.\nAnswer: 216144","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1936 - -1931. Let h(o) = 2*o**2 - 5*o + 45. Let i(m) = -m**2 + 2*m - 23. Calculate f*i(a) - 2*h(a).\nAnswer: a**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2035)\/407*-3*((-1)\/(-4))\/((-25)\/20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1057 divide 12550835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 245*v - 244*v + 2*j, 2*j = -10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, -20, -45, -90, -161?\n\"Answer: -g**3 - g**2 - g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 10*k**2 - 10*k - 4. Let p be h(-9). Suppose -4 = -p*x + 11. Let b be ((-285)\/76)\/(x\/(-320)). Round b to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6811 or -6816?\nAnswer: -6811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 252 in -1, -6041, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49263 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 10 = 13*h, h - 10 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30507995 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 45*f + 21. Give g(-6).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxjnxbw. What is prob of picking 1 b and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 69 (b) -9368 (c) 2\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkky when four letters picked without replacement from kkkkkkkkkkykk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/55 - (600\/(-33))\/4. Let p = -6 + 11. Let o(w) = -w + 5. Let k be o(p). Solve 0 = -u*x - 2*r + 26, -2*x - 3*r = -k*r - 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -10106940?\nAnswer: -10106939.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 16. Let g = 24 - 24. Give m(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 546 divided by -131\nAnswer: -546\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6931632 weeks in milliseconds?\nAnswer: 419225103.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1952 and -127\/2440.\nAnswer: 9760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5\/13 + 414*q**4\/13.\nAnswer: -2*q**4*(q - 207)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529629.\nAnswer: 3, 53, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, -0.8, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - b = 5*j + 5971, 0 = -b - 1. List the prime factors of j.\nAnswer: 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2442\/5)\/(((-132)\/(-40))\/11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.4 - 0.6. Let d(p) = p + 4. Let r be d(-9). What is the second biggest value in i, r, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5 - 22*f**4 + 806*f**3 - 1874*f**2 - 7692*f + 16848 = 0. What is f?\nAnswer: -27, -3, 2, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15452 (base 7) to base 12\nAnswer: -2625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 331*z - 643. Is 5 a factor of x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629946968?\nAnswer: 2, 3, 13, 421, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36238612427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1249 - -1169. Let a be 6\/(-16) + (-2270)\/m. Find q such that -52\/3*q - a*q**4 + 52\/3*q**3 + 8\/3 + 76\/3*q**2 = 0.\nAnswer: -1, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 20 - 17 - (21 + (1 - -3)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, s: 5}. What is prob of sequence bbss?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*b - 293 - 94, 0 = -3*r - 2*b - 231. Let d be (5 + r\/12)\/((-1)\/4). Suppose 2*c + 18 = d*c. Solve 2*n + c - 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -34*u**4\/5 + 236*u**3\/5 + 14*u**2\/5 = 0.\nAnswer: -1\/17, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(500)*-2 + -1)**2.\nAnswer: 80*sqrt(5) + 8001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193 - -360. Let o = y + -140. What is the remainder when 160 is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2814138 to the power of 1\/2, to the nearest integer?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23634*f**4 - 94486*f**2 + 7.\nAnswer: 567216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen quarters of a day?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 1. Let o be 8\/28 + 74\/(-14). Let y be w(o). Find the second derivative of -r + r**y + 2*r**4 - r**4 wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -246 + 383. Suppose 0 = -4*j + 4, -2*q + 410 = 3*j + c. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -25*q - 824. Let i be l(-33). Let w(a) = -a**2 + a. Let t(c) = -4*c + 1. What is i*t(s) + 5*w(s)?\nAnswer: -5*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dppppddddddddd. What is prob of picking 3 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11111 divided by 41.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 = 40*o - 722. Let d(a) = -a**2 + 27*a + 37. What is d(o)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114610037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/8 - 6\/16)*1\/(-10). What is the closest to -0.4 in m, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -74.1, 2, -0.06, -3\/143?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2941 and 4498?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**3 - 3*a + 6. Suppose 3*c + 4*v = 6*c - 22, 0 = -v + 5. Let z = 15 - c. Let s(o) = -o**3 + o - 1. Determine z*n(p) + 6*s(p).\nAnswer: -2*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 12*h + 54*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 186*o + 1095. Give u(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87 - -77) + 2 + (-14 - -18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -122?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645876.\nAnswer: 2, 3, 7, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -1.1. Suppose 3*u + j + 53 = 0, -5*u + j - 67 = 24. Let s be (u\/15)\/(-13 + 10). Which is the biggest value? (a) 4 (b) g (c) -3\/7 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 17*u - 324. Let h be m(19). Suppose 10*f = 5*f - 5. Let o be (1\/f)\/(4\/6). Which is the closest to h? (a) -17 (b) o (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 520.01 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6069480959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + g - 4 = 0, 15 = -4*r + 5*g + 4. Solve -5*p - 4 - r = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -307*a + 34642. Give s(114).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2. Let a(h) be the second derivative of 19*h**3\/6 - 452*h. Determine a(k(p)).\nAnswer: 57*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(432))*4*-2*6 - ((sqrt(75) - (-1 + sqrt(75))) + -4 - (sqrt(75) + -2 + sqrt(75))*6)**2.\nAnswer: -10881 + 504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**4 - 8*i - 8. Let f(t) be the first derivative of c(t). Let s(y) = -y**2. What is s(f(w))?\nAnswer: -144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -3. Let b be ((-9)\/(-18))\/((-3)\/6). What is the nearest to c in -3, 2, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/10584 and 31\/914382.\nAnswer: 25602696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -777, -776, -775, -774, -773?\n\"Answer: y - 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - -2)*(3 - (-54)\/(-4)). Let m = -34 + u. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 + 0 = 0. Let v(x) = 13 - j*x**2 - 13. Let t(m) = m**2. Give v(t(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 - 0.07. Let x = 0.14 - 1.76. Let t = x + j. What is t rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 + 4 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (2 + 0 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*f + 2 = 80*f + 2*y, -5*f - 3*f - y = 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, -32, -106, -218, -368, -556?\n\"Answer: -19*w**2 + 21*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*m + 456654 = -157*m. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**3 + h**2 + 5*h - 1. Let q(w) = -w + 243*w**2 - w**3 - 243*w**2. Determine -2*g(m) - 10*q(m).\nAnswer: 2*m**3 - 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14431\/6498 - -1\/722. Let h = j - 136\/45. Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04450107181 - 981?\nAnswer: -981.04450107181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174 + 334. What is the highest common factor of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5276017669 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 49*m**2 + 45*m + 288. Is l(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*v - 238, -v = 4*o + 2*v + 476. Let t = -22 - o. Calculate the remainder when t is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -11*u**2 + 317*u + 15842. Let w(l) = 5*l**2 - 160*l - 7921. Let p(m) = -6*q(m) - 13*w(m). Factor p(r).\nAnswer: (r + 89)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 166*h**2. Let i(b) = 11*b**2 - 22*b + 22. Let z(p) = 4*p**2 - 7*p + 7. Let y(q) = 7*i(q) - 22*z(q). Calculate t(y(l)).\nAnswer: 20086*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -543, 2, 2.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/112 and 15\/64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 205849.9 millimeters in meters?\nAnswer: 205.8499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21434089?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -12185*b - 83599. What is n(-7)?\nAnswer: 1696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**3 - 8*t**2 - 17*t + 2. Let x(o) = o**3. Let y(u) = b(u) - 2*x(u). What is the second derivative of y(m) wrt m?\nAnswer: 6*m - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4640 + 4654. Solve 26*q = 19*q + p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 4*x, 9*s + 5*x + 2 = 5*s - s + 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86.3 - -13.3. Let t = v + 72.6. Let l = 10 + -10. What is the closest to 0.01 in t, 3\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 8 + 3 + -1 + 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*q + 8*q + 25*q - 13*q in the form x*q + k and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - 4*v**2 - v**2 + (0 + 0 + 1)*(v**2 + 1 - 1) + 0*v**2 + 2*v**2 - v**2 + (-5*v + 2*v + 2*v)*(v - v + 2*v).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2602.4*-34\nAnswer: 88481.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 5*x - 9. Let u be t(-7). Suppose u*f + q = 16, 6*f - 5*q - 1 = 4*f. What is the units digit of 9\/(f - 3\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h + 27*h**4 - 2*h**2 + 2*h**2 - 33*h**4 + 1 - 19*h in the form w*h**2 + o + p*h + m*h**4 + z*h**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24091679 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in -306, 0.5, 0.2, -4, -40?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101122101 (base 4) in base 16?\nAnswer: -51691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -23, -51, -101, -179, -291, -443, -641?\n\"Answer: -r**3 - 2*r**2 + r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1339 - 942344.\nAnswer: -942344.1339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2256850 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1354, 10943, 37004, 87781, 171518?\nAnswer: 296459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 12*v + 32. List the prime factors of h(-9).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 1)*(-2*r + 3*r**2 + 2*r) + (-2*r**2 + 2*r - 2*r)*(3 + 1 - 3) - 2 + 2 - r**2 - r**2 + 0 + 0.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133404402 - -132?\nAnswer: -133404220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14810.\nAnswer: 2, 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 4:46 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178923363 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbbsbbwfbfzbf. What is prob of sequence bwfs?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 v when three letters picked without replacement from {w: 4, j: 2, v: 3, b: 4, k: 1, x: 3}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.6 + 13.5. Let f = q - -2.9. What is f rounded to 1 dp?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3399)\/14729)\/(6\/(-2080))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6615519 is divided by 1491.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*s**3 - j**2 + 6*j*s**3 - 58*j*s + 602*s**3 + 19*s + 1 wrt s.\nAnswer: -12*j**2*s + 36*j*s + 3612*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 31.225 times -2.4\nAnswer: -74.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**3\/3 + q**2\/2 + 23*q + 2. Suppose -3*k + 6 = -2*f - 0, -2*k + 3*f + 9 = 0. Is w(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2345, -1, 127?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-160)\/9 + (-6)\/27. Is (-7155)\/i*(-2)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 79*m**2 + 862*m + 23852. Give s(56).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6.3. Let x = -5635 - -5632. Which is the third smallest value? (a) s (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1888*i + 3159?\nAnswer: -1888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/(8600\/375)*8\/(-12)*-40?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 174*k.\nAnswer: 3*k*(k + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = 4*a - 0*r, -3*a - 4*r = 0. Suppose 0 = 4*b - a, -2*b + 189 = y + 3*b. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2476270, 2476198, 2476126, 2476054?\n\"Answer: -72*g + 2476342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 12*k**2 + 152*k - 18. Let w be i(-13). Let g be -17*3\/3*-3. What is the greatest common divisor of g and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-2 + (-1*sqrt(180) - sqrt(180) - sqrt(180)))**2 - (sqrt(180) + sqrt(180) + (sqrt(180) - ((sqrt(180)*-2)**2 + 4)))) + -5).\nAnswer: 162*sqrt(5) + 7029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 678 - -418. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 4*y**2 + 5*y**2 - 12*y**2 - 9*y**2 + (-3*y + 3*y - 2*y**2)*(-1 - 2 + 1).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1912 + 977 = 3*x, 0 = 4*x. What are the prime factors of k?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-131)\/(-5) - (-7)\/(-35). What is the greatest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 168214304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -35*c**4\/4 - c**3 - 3*c**2\/2 + 3*c + 227. Let z(d) = -384*d**3 - 32*d**2 - 32*d + 32. Determine 32*l(k) - 3*z(k).\nAnswer: 32*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 100001 (base 2) to base 6\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5))**39*o*o**2*o*o*o*o*o\/(o\/o**(1\/7))*o*o*o*o*o assuming o is positive.\nAnswer: o**(971\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -29977908?\nAnswer: -149889540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 - 3*s**4 - 10*s**4 + (3*s**3 - 2*s**3 - 5*s**3)*(s + 2*s - s).\nAnswer: -23*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 6 (c) 0 (d) 0.4 (e) -2\/163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2551251, -5.\nAnswer: -5, 3, 2551251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65791\/2828 + 10\/707. Let l = -4267 - -136591\/32. What is the common denominator of l and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.898 + -0.102. What is the third smallest value in -3, r, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6980 - -28230. Calculate the remainder when z is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = 110*d - 19 - 100 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13141, 83, 4 in decreasing order.\nAnswer: 13141, 83, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 10827?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**2\/2 + k + 4. Let l(c) = c + 5. Let v(t) = -6*g(t) + l(t). What is the derivative of v(r) wrt r?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, u: 1, g: 3, o: 1, d: 3}. What is prob of sequence ggu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1861 = 53*r + 748 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007365479221 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 331*k**4 + 68*k**2*q + 11*k*q + 5*k - 43*q wrt k?\nAnswer: 3972*k**2 + 136*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 16*m + 3. Let n(j) be the first derivative of 15*j**2\/2 + 4*j + 317. Calculate 4*a(k) - 3*n(k).\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -4*o - 5*g, -2*o - g - 4 = 38. Let l be 6\/o + 18\/14. Suppose 2*h - i + 4*i + l = 0, 3*h - 2*i = 31. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 439365, 1757457, 3954263, 7029783, 10984017?\nAnswer: 15816965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -52*o + 263, 3*d - 2*d - 5*o = -22 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 267, 315, 363, 411?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by 84.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -35169.47653 rounded to the nearest one hundred?\nAnswer: -35200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-64)*4)\/(((-13)\/208)\/(4\/(-52))).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852600 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111 + 100?\nAnswer: -1111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 5*x + 1337 + 376, -2*x = 5*m - 2120. Does 52 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*x + 207*x = -18. Let h(v) be the third derivative of 0*v**3 + 1\/540*v**6 + 0*v**4 + 0*v + 1\/270*v**5 - 9*v**x + 0. Let h(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y - 12 - 7*y - 2*y + 14*y as b + v*y and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 1, n: 2, y: 1, f: 4}. What is prob of sequence fy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + -2 + -14 + -6 + 2 + 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.1, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.158 + 12020.671?\nAnswer: 12020.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 316 + -161. List the prime factors of c.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -16. Let w(n) be the third derivative of -n**t + 0*n**4 + 0*n + 1\/60*n**6 + 1\/60*n**5 + 0 + 0*n**3. Find the third derivative of w(l) wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q - 6*q + 4*q)*(2*q - 6*q + 2*q).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(133)\/sqrt(7)*-2)**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137474.37066809 - -137486.5851. Let u = 26.21443205 - z. Let b = -14 + u. What is b rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -4.\nAnswer: -9, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -121*m + 260 + 74. Solve 3*u = -3*x - m, -x + 18 = 4*u + 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 11:14 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(2048) - (sqrt(32) - (sqrt(512) + 0 + sqrt(512))**2)) - ((5*(0 + sqrt(72)))**2 + 3)*-2.\nAnswer: 28*sqrt(2) + 5654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170\/299 + 110\/69. Calculate the common denominator of -55\/6 and x.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -7. Let m = -4 + 4.2. Let q = m + 0. Which is smaller: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, -2, -1 in descending order.\nAnswer: 10, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*((3 + 0 - 2)*(-7 + 3*v + 7) - v - 3*v - 4*v) + 1 - 1 + v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*k = -17 - 1, -4*k - 18 = -5*x. Find the first derivative of -9 + 0*s**x + 0*s**2 + 0*s**2 + 4*s**4 wrt s.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1219210.65ns to days.\nAnswer: 0.000000014111234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 68. Suppose -30*o - z + 263 = -28*o, o + z - 131 = c. Is o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5428 or 5457?\nAnswer: 5457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/7 (b) -4\/3 (c) 7 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(((-663)\/18)\/(-13) + -3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 21 = 5*x - 6*x, 3*f - 3*x + 33 = 0. What is the common denominator of 2\/(-48)*(-292)\/3 and ((-534)\/f)\/(30\/20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*n + t, 0 = -4*n - t + 928000 - 928010 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-3 + 3 + (sqrt(1100) - (-2 + (sqrt(1100) + sqrt(1100) + 1 - sqrt(1100))))*6))**2 + 1)*-3.\nAnswer: -1731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8686 + 1.72.\nAnswer: 8687.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 - 19*f**2 - 16*f + 32. Is 26 a factor of d(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q - 8*q - 9 - 4*q**2 + 13*q**2 + 26 - q**3 - 11. Give r(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -4 + 7 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (6\/(-34) - (-317512)\/15912).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 827*q + 13450. Give j(-13).\nAnswer: 2699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -4. Suppose 3*g - 19 = -3*t + 17, -2*g = 6. Let a = i + t. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 22 = -4*n, 6*n - 21 = -2*b + n. Let s be (-2*1)\/(6\/(-273)). Calculate the highest common divisor of s and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342646906 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 11763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 4*h - 26 = 0, 3*c + 14*h - 19*h = -22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 7*u**2 - u + 7. Let n be (14\/(-5))\/(16\/(-40)). Let p be b(n). Solve 8 = -p*a - 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 + -102. Suppose -5*r + t*r - 8114 = d, 0 = -3*r + 3*d + 4866. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 9*q**5\/5 + 67386*q**4\/5 + 15081606*q**3 - 40282020*q**2 + 176326521*q\/5 - 50391846\/5 = 0.\nAnswer: -6117, -1373, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-100)\/(-15) - 6)*(-45)\/(-5). What is the remainder when 179 is divided by (-28)\/(-12)*11 + 8\/f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21930.\nAnswer: 2, 3, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2068 + -4762?\nAnswer: -2683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 10*d - 24. Let z be n(-7). Solve z*m + 0*m + 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 3*q = 15*q - 97308. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i - 4 + 6 - 4)*(42*i**3 - 123*i**3 - 106*i**3 + (-2*i**3 - i**2 + i**2)*(3 - 2 + 1)).\nAnswer: -3056*i**4 + 382*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576) - 2*sqrt(576)*2)\/(-5*sqrt(363)*-1 + sqrt(363)).\nAnswer: -4*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 2*z**2 + 3*z + 1. Let i be r(-3). Sort -2, i, -3 in descending order.\nAnswer: i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((6*-6*sqrt(2299)*1 + 3)*2)**2*3.\nAnswer: -28512*sqrt(19) + 35754156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (4 + -18 - -9). Does 17 divide (g\/((-6)\/4))\/((-2)\/(-357))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3633369\/67508 - 2\/16877. Let l = -256\/7 - m. Calculate the common denominator of 41\/4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, p: 10}. Give prob of picking 4 r.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - b**2 - 2*b + 3*b**2 - b**2 + 2 + b**3 to the form a + n*b + x*b**3 + w*b**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 + 83. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1813962 is divided by 91.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-135)\/(-10))\/3*32\/(-336). Let v = 2 - -1. Which is the third smallest value? (a) v (b) k (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1513 - -783. Sort 5, x, 3 in decreasing order.\nAnswer: 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 17*w**2 + 1. Let s be (-1)\/2*(-7 + 9). Let n be z(s). Let q be (-8)\/n - 2\/9. What is the third smallest value in 5, q, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from hhchcccccccccc?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*o + 267, 9*c - 4*c - 4*o = 445. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n + 7. Suppose 4*q = -5*h - 29, h = 2*q - 2 - 1. Let s be t(h). Suppose 5*p + 0 = 40. Calculate the greatest common factor of s and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**5\/60 - 5*u**4\/6 + 19*u**3\/6 + 2939*u**2. Factor i(z).\nAnswer: (z - 19)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 9, q: 1, r: 1}. Give prob of sequence qk.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101444 rounded to the nearest one thousand?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*v + 54, -2*v - 2*v - 36 = l. Let z be (l\/20)\/(4\/(-10)). Suppose 0 + 2\/5*a + 6\/5*a**z + 6\/5*a**2 + 2\/5*a**4 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 242 from -5.3.\nAnswer: -247.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 9b?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2822520 by 60.\nAnswer: 47042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/5 - 1236*k**2\/5 + 21228*k - 319580.\nAnswer: 4*(k - 145)**2*(k - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -34. Suppose -12*g = -13*g - k. Let q(c) = -4319*c**3 + 11*c**2 + 12*c + 20. Let w be q(g). Round w to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 1. Let s(q) = 7*q - 5. Let t(i) = 5*a(i) + s(i). Let o(c) = -101*c + 5. Let w(x) = 152*x - 7. Let r(g) = -7*o(g) - 5*w(g). Determine r(t(d)).\nAnswer: -106*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(6\/11)*z*z)\/z**(-3\/4)*(z*z*z*z**(-2)*z)**(-1\/22) assuming z is positive.\nAnswer: z**(229\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (61\/(-427))\/(0 + (1 - 2))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -761*k - 48348 = -770*k. What are the prime factors of k?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -2, 5, -1, 15, -0.005?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 21*a**2 + 276*a + 469. Calculate g(-11).\nAnswer: 1305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.159 and -2.\nAnswer: 0.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f + 9776963 + 18647037 = 0. Round f to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**5\/100 - 41*q**4\/60 + 17*q**3\/6 - 43*q**2\/10 + 3*q - 74. Find c, given that b(c) = 0.\nAnswer: -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -649, -1436, -2359, -3418?\n\"Answer: -68*z**2 - 583*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1269 = l - 2792, 3*o - 4*l - 12218 = 0. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(48)*-2)**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454771125 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 + 45 + 6*t - 30*t**3 - 30*t**3 + 58*t**3 + 2*t**2 to the form m*t**3 + k*t + g + v*t**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -m + 17 + 13, -2*z = -5*m + 157. Suppose -23*o + m*o - 9776 = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + 2 + -2 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 294d5 - 15?\nAnswer: 294c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -21\/5, -4, 19\/3 in descending order.\nAnswer: 19\/3, 3, -3, -4, -21\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 339, 284, 221, 150, 71, -16, -111?\n\"Answer: -4*s**2 - 43*s + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 3:42 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27354 or -27355?\nAnswer: -27354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 54 = -x + 4*x, 0 = 4*u - 4*x - 56. Let j = u + -7. Suppose 14 = -3*v - j*b, -4*b + 8*b = -16. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/3 - 168620*z\/3 + 24802952.\nAnswer: 4*(z - 41709)*(z - 446)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 times -0.1\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -576847, -576849, -576859, -576883, -576927, -576997, -577099, -577239?\nAnswer: -577423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*r - 1 = -7, -5*a - 15 = -5*r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 1401022.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.32 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-334)\/(-835) + ((-9)\/(-30))\/3)*2. Sort r, 3, -120, 12.\nAnswer: -120, r, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 532944 and 45662938.\nAnswer: 7402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.9 (b) 1 (c) 5\/4 (d) 1\/8 (e) 0 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeee. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 240515340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*8\/(-18)*(-468)\/(-312).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1117779154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**4\/4 - 2*o**3\/3 - o**2 - o + 5. List the prime factors of a(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65435669 is divided by 1128201.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31204 (base 5) to base 15.\nAnswer: 91e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6*f - 585. What is the greatest common divisor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*1\/(-1) - -26. Suppose -4 = -3*l + o. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4712385 is divided by 63.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54 + 6?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*-2 - sqrt(2016))\/((sqrt(12)*-2)\/sqrt(6) - sqrt(2)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6375 + 6432. What is the remainder when 1361 is divided by i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 1844 + 1944 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((-11)\/(264\/16))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 47. Let w = 12 + i. Which is smaller: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 12014128*o + 12014130.\nAnswer: -2*(o - 6007065)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 10) to base 3.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4734 - -4735. What is the nearest to 2\/5 in z, 4, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.82 * -3.\nAnswer: -29.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 666338.9 plus -3?\nAnswer: 666335.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1\/3 (c) 4289\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 219274 and 19934?\nAnswer: 219274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 + -2)*3\/(54\/3). Which is bigger: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 3.02129?\nAnswer: 3.02129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/4*(-24)\/20. Let k be (117\/d)\/(-1)*-3. What is the highest common factor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10221220232 (base 4) to base 12\nAnswer: -4a9612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 12:17 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000160297 rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*o = 90, -z - 2*o + 4*o + 33 = 0. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0147 or 1\/16?\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 9*r - 1237 + 1200. Give v(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d + 224 = 7*d. Let q = -41 + 28. Let l = q - d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 769\/11340 - 13\/405. What is the nearest to -1 in 5, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/40 - 1 - (-18)\/45.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 10*r - 203 + 321 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6\/5, 268\/39, -0.5, -5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 22. Let y be n(10). Suppose -5*d - y - 8 = 0. Let p = -2.04 - -0.04. Which is the third smallest value? (a) d (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66021, 132070, 198117, 264162, 330205?\nAnswer: 396246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2124 and 101716?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*v - 77*v - 50*v - 41*v - 40*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 3:26 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5\/3.\nAnswer: -2*v**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.6 + -14. Let k = i - -7.4. Which is the second smallest value? (a) 5\/2 (b) k (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/371 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5274 and 0.5.\nAnswer: -2637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) - (-60)\/14. Let z = 54 + -46. Suppose z - 36 = -f*p. Solve -2*y = b + p, 5*b - 1 = 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 23*a**2 + 20*a + 71. Calculate f(-24).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*p = 2*p + 11, 0 = -z + 2*p - 4. Suppose 2*v + 1 + 1 = 0. Let h be ((-2)\/(0 + 2))\/v. Solve h = 2*l + i - z*i, 2*l + i - 7 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2866 is divided by 938.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (13 - (-1 + 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16 - (4\/(-4) + 2). Calculate the highest common factor of d and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 34 - 26 = 0. Solve -p = -4*n + 8*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (0 + 3 + -6)*50\/(-15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 16399*n**3 + 67907108*n**2 - 5522525468*n - 5590448976.\nAnswer: (n - 8158)**2*(n - 84)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2507860420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 95 + 41 = 0. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1184215803 to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38867*s - 13686*s - 42472*s - 6334*s + 28492*s.\nAnswer: -72867*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13149 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -362*r + 1414*r + 3 - 454*r - 414*r - 412*r to h + b*r and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 3:21 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 1)\/(2\/(-4)). Let g(n) = -4*n**2 + 0*n**i + 2*n**2. Let f(b) = -2*b. What is g(f(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 126 = 3*v, 450*u + 3*v = 446*u - 228. Put 5, -4, -1, u in ascending order.\nAnswer: u, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -4\/23*h**2 - 25*h + 0*h**3 + 1\/138*h**4 + 0. Determine w, given that l(w) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12765*a*m**4 - a*m**3 + a*m + 4616*m**2 wrt m?\nAnswer: -306360*a*m - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 106, 245, 440, 691, 998?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6875708 at most as big as -6875708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-3) - 2\/3. Let j(d) = d**3 - 7*d**2 + d - 4. Let i be j(7). Suppose -r = i*r - 16. Put r, 2, n in descending order.\nAnswer: r, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3403.772 centuries to years.\nAnswer: 340377.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 6. Let u be t(-8). Is -1 + 952 + u - 4\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbsbdxsxbxbbbb. What is prob of sequence bsbx?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/(9\/81). Let q be 3*(2 - h)\/(-1). Solve -11 = 5*m + b, -q*m + 0*m - 10 = 4*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 37 = 180*z - 137 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 105?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 17. Let g be f(14). Let j be (-3)\/(g\/6 + -2). Differentiate -11*t**3 - 6 + 5*t**j + 3*t**3 - 5*t**2 with respect to t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*o**3 - 24*o**3 - o**4 + 44*o**3 - o + 0*o - 18 as y*o**4 + x*o**3 + s + u*o + j*o**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -10*b + 2. Let p be o(-2). Suppose -5*n = -3*n - p. Let l be (-1)\/2 + (-199)\/(-2). Calculate the greatest common divisor of n and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9970 to the nearest 100.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5080, 20499, 46258, 82357, 128796, 185575, 252694?\n\"Answer: 5170*s**2 - 91*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -405 - -125. Let j = z - -283. Let w = -1 + 1. Sort 5, j, w, 1 in descending order.\nAnswer: 5, j, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -16*i - 254. Suppose -h + 40 = -3*h - 2*c, 2*h + 54 = 5*c. Is t(h) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -156*j**3 + 54*j**2 + 309*j**3 - 151*j**3 - 230 + 174*j.\nAnswer: 2*(j - 1)*(j + 5)*(j + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vevefeddzzddve. What is prob of picking 1 e, 1 d, and 1 f?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r*r**(-2)))\/r)*r**6*r)**(-1\/47)\/(r*r**(-4)*r*r\/r**(2\/15)*r*((r\/(r\/r**(2\/5)))\/r)\/r*r*r*r**(-3\/4)\/r*r) assuming r is positive.\nAnswer: r**(943\/2820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83180 is divided by 41567.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z**2 - 83. Let c(a) = a. Determine c(d(l)).\nAnswer: 8*l**2 - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(30\/(-8))*(-2 + 5). Let v(y) = -3*y**3 - 3*y**2 + 9*y - 6. Let f be v(a). Suppose -f = -5*w - 7. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -241 - -241.151. Let v = a - 0.25. Let r = -0.0864 - v. What is r rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 7*y + 4. Let u be k(-3). Let p be 1 + (2 - 4 - u). Solve -2*a + 3*r - p = 0, -2*a = -3*a - 2*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002054 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 408208 divided by -13168\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 + 67. Let s = 635\/6 + q. What is the common denominator of s and 9\/6*(-154)\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -70*b - 143. Let h = -215 + 200. Is i(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 - 13. Suppose -7*o + 24 = -3*o. Let f = -6 + 8. Let p(w) = f + 1 + 4 - 2*w**2 + 0. What is o*s(m) + 11*p(m)?\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/5855 - -7004\/64405. Let p = h + -189\/220. What is the smallest value in -1\/2, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*k - 7, 3*k - 4*j = -j - 6. Solve -2*v - k*n = 13, -3*v + 3*n = -n - 23 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3167*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21000201220 (base 4) in base 15?\nAnswer: 319a4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117)*-3*3 + sqrt(117) - (sqrt(117) + (sqrt(117) + 3*sqrt(117) - sqrt(117))*5))\/(sqrt(81)*2 + sqrt(81) - sqrt(45)\/sqrt(45)) + 1.\nAnswer: -69*sqrt(13)\/26 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -3*i**2\/2 - 2*i. Let v(w) = -w + 5. What is -5*q(o) - 3*v(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 3780\/(-385))*6.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + b + b)*(8 - 3 + 18) + 4*b - 5*b + 2*b to p*b + c and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*j + 4*x, 5*j = -0*j - 3*x + 21. Suppose 4*d = -j + 18. Solve f + 9 = -5*h, -2*f + 4*h = d*h + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -284 - -277.3. Let s = -6.7 - r. Let f be (-30)\/12*(-8)\/50. What is the fourth smallest value in -1, s, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 1:25 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 - 105. Let o(n) = 2*n**2. Calculate o(v(t)).\nAnswer: 32*t**4 + 1680*t**2 + 22050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 403884, 403850, 403794, 403716?\n\"Answer: -11*t**2 - t + 403896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/5, -29, -140\/3 in ascending order.\nAnswer: -140\/3, -29, -3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -22*h + 11. Let l be (4 - 26)*1\/2. What is the hundreds digit of d(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 39*v + 136. Determine p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011542 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b - 7 - b + 7 to the form y*b + x and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/11))\/((((h**(-3)\/h)\/h*h)\/h)\/h)*(h*h\/(h*h*((h\/(h*h\/(h\/h**16*h)*h))\/h*h*h)\/h))**(-22) assuming h is positive.\nAnswer: h**(-3797\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*20080.\nAnswer: -40160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, u: 6, x: 5}. Give prob of picking 3 u and 1 x.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -742, -1706, -3054, -4786?\nAnswer: -6902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17241092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63790563 to the nearest integer?\nAnswer: 7987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*v + 10974 - 9180 = -11506 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 times -1.64\nAnswer: 0.3608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45266724 is divided by 389.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.03, -3, 0.2, 0.3, 0 in descending order.\nAnswer: 1.03, 0.3, 0.2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -833 = -3*n + 2*b + 348, 0 = -2*n - b + 778. What is the greatest common divisor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (43\/2)\/(5\/10). Let b = 72 - m. Suppose 0 = -5*f - 2*c + 214, b = 2*f - f + 5*c. Calculate the greatest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 - 1085*b**2 - 9604*b + 1. Determine a(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*r**3 - 1165*r**2 - 1910*r - 760.\nAnswer: -5*(r + 1)*(r + 76)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 8 = 5*h. Suppose 90*p = 95*p - 30. What is the second derivative of -d**4 - 23*d - p*d**h + d**4 wrt d?\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59348047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**4\/8 - 5*a**2. Let f(m) = -m**2 + m. Calculate 3*f(h) + y(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-3 + 4)) + (-44 - -185 - -10) + 7?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 8*b - 9. Let f be x(-7). Let g = 5\/18 + -25\/9. Let u = -0.3 + 0.3. What is the third smallest value in g, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 139*i**3 - 92150*i**2 - 4637*i - 2644. Determine k(663).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0763 and -9?\nAnswer: -0.6867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5104961.\nAnswer: 5104961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7.1. Let i(n) = 4*n - 15. Let z be i(10). Suppose -o + 2*h - z = -6*o, 5*o = -3*h + 25. Which is the third smallest value? (a) k (b) -2\/13 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u + 164 = -3*u. Let s be 3\/(-12) + 514\/8. What is the highest common divisor of s and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248866240 by -4820.\nAnswer: 51632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2977.9 less than -17055.4?\nAnswer: -20033.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + 8 + -3 - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17300\/6228*(-42)\/20*(-54)\/56?\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2\/7 (b) -1\/6 (c) 0.01 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1621214 divided by -11417\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 16 = -7*j. Let o be (-2)\/(28\/(-6) - j). Let d(a) = a - 4 - o*a + 4. Let t(m) = -29*m**2. What is t(d(s))?\nAnswer: -116*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88 + -141 + 232 - 92.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1346395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*(-3)\/1)\/(-1). Suppose -x*r + 8 = -t, -20 = -5*r + 6*t - t. What is the third derivative of a**3 - a**3 + 3*a**r + 2*a**3 wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f + 66. Let u be c(16). Let s be (-4)\/u + 2100\/1125. Solve w = 2*q + 1, -s*w + q + 2 = 2*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 58 - 19)*(-2*j + 3*j**2 + 2*j) in the form k + w*j + m*j**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3285*a + 18837. Determine d(-6).\nAnswer: -873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -724 divided by -181.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 55. Let v be r(42). Solve 3*z - 25 = -4*f, -2*z + 31 = 3*f + v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 f, 1 b, and 1 l when four letters picked without replacement from flnflnnnffnfffffbn?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)*j*j**(4\/7))\/(((j\/((j*j**(-1\/3))\/j))\/j)\/j)**36 assuming j is positive.\nAnswer: j**(130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) 164.5 (c) 3088.7 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -449 + 460. Does 4 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(500)*-2 + sqrt(500))*-2 - (sqrt(500) + -1*sqrt(500)*-4))\/(sqrt(250)*-2*1).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 l, and 1 u when four letters picked without replacement from {c: 2, u: 2, i: 1, l: 8}.\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 663 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, 9, -0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t + 4. What is the tens digit of g(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 3:08 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-247)\/14079).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 75*i**2 + 0*i - 2\/3*i**6 + 0 + 1\/12*i**4 + 7\/3*i**3 + 0*i**5. Find the second derivative of j(f) wrt f.\nAnswer: -480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -6, 8 in descending order.\nAnswer: 8, 6, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 3:23 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 383165 - 1149475\/3. Factor -k - 8*j**2 - 14*j - 2\/3*j**3.\nAnswer: -2*(j + 1)**2*(j + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.28+313932286339\nAnswer: 313932286338.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38702581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47991, 95960, 143929, 191892, 239843, 287776, 335685?\nAnswer: 383564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93 * -114.\nAnswer: -10602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 10, c: 3, s: 1}. Give prob of picking 1 s and 2 b.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6855307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*h - 2*h**2 - 286*h + 241*h.\nAnswer: -2*h**2 - 333*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3537.4 rounded to the nearest 10?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/580 and -41\/3190.\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 204 = -4*w - p, 2*w + 5*p + 102 = 0. Let a = -258\/5 - w. Let n be (-3)\/(1\/((-2)\/(-3))). Which is smaller: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -334319\/83 or -4028?\nAnswer: -4028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a**2. Let l(x) be the first derivative of -x**2\/2 - 6. Give s(l(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-732 + 237 - 68)*(0 + 7 + 6)*(2*w**4 - w**4 + w**4).\nAnswer: -14638*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -13*j**2. Let a(t) = -22*t**2 - 12*t - 12. Let y(m) = -9*m**2 - 5*m - 5. Let s(h) = 5*a(h) - 12*y(h). What is w(s(n))?\nAnswer: -52*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15 from -174615494261.\nAnswer: -174615494276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - -0.1. Let k = 0 - p. Let q(d) = 161*d - 481. Let n be q(3). What is the nearest to k in n, -1\/5, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 88*z**2 - 8*z - 3909. Let q(l) = -29*l**2 + 3*l + 1304. Let n(y) = 2*f(y) + 7*q(y). Differentiate n(x) with respect to x.\nAnswer: -54*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -1\/2*h**3 + 0*h - 1 - 1\/12*h**4 + 3\/2*h**2. Let m(i) be the second derivative of q(i). Differentiate m(z) with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159906427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112202202 + 211?\nAnswer: 10112210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*w + 24, -g + 6*g - 5*w + 45 = 0. Let a = g + 62. What is the highest common divisor of a and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2 + -2*sqrt(1900))*-1 + (sqrt(1900)*1 + 0 + -4)**2)*-1 + -3.\nAnswer: -60*sqrt(19) + 1911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 185948 and 929740.\nAnswer: 929740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/3 + 2684*u**3 + 137510*u**2\/3 - 64616*u - 291096 = 0. What is u?\nAnswer: -18, -2, 3, 4043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6*-1*3\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2217314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + (3\/(-3) - 221\/(-39)). Which is the closest to 2? (a) -0.3 (b) 4 (c) p (d) -9\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42222 is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 2 - 6 - 3. Suppose -2*f = -3*i - 11, -4*f + 0 - 8 = 4*i. Let a be (-2 - i) + -1 + 0. Determine b(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 588*o**5 - 112980*o**4 + 5202291*o**3 + 21847152*o**2 - 3200484*o + 115248 = 0. Calculate o.\nAnswer: -4, 1\/14, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -31, -77, -163, -301?\n\"Answer: -2*n**3 - 2*n**2 + 2*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9070*h - 9162*h = 276 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-1 - 4) + -3. Let f(l) = 31*l - 10. Let t be f(s). Let i = -117 - t. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 1, 0, -1\/20, 186\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtddtdcdctddttt. What is prob of picking 3 d and 1 c?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*v = -101*v - 148 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 5*l**2 + 2*l**3)*(2 + 2 - 3) - l**3 - 2*l**2 + 2*l**2 - 44*l**3 + 35*l**3 + 26*l**3.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 32 = -2*l. Let y(s) = s**2 + 2. Let d be y(0). Suppose -6 = -d*z + l. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 2*a**3 + 0*a + (3 + 2*a**2 - 3)*(-4*a - 7*a + a) + (-a**2 + 2*a**2 - 3*a**2)*(-4*a + 0*a + 6*a) - 26*a**3 + 10*a - 10*a.\nAnswer: -48*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/60 and 2 - (-3 - (4 - 1076\/168)).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(2\/3)*g**(-2\/57))\/(g\/(g**(-6)\/g)*g*((g**(2\/57)*g)\/g)\/g) assuming g is positive.\nAnswer: g**(-308\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6113 + -6091. Calculate the smallest common multiple of w and 4010.\nAnswer: 44110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -0.01. Let i = 2\/579 + 191\/579. Let k = 0.05 - 1.05. Which is the closest to i? (a) t (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -3)\/4 + 42\/8. What is the third derivative of -6*y**4 + 6*y**4 - 13*y**d + 29*y**2 - 17*y**5 wrt y?\nAnswer: -1800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**2 + 5*p - 8. Let x(a) = 1. Let q(n) = -b(n) + 5*x(n). Let d(u) = -8*u. Give q(d(g)).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*r + 44 = 0, 3*z - 33 = 6*z + 2*r. Let y(g) = g**2 + 12*g + 33. Is y(z) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**3\/3 - 31*y**2\/2 + 337. Determine t so that k(t) = 0.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -0.3, -0.94 in decreasing order.\nAnswer: 0, -0.3, -0.94, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7488)*-1 + (sqrt(52) + -1)**2 + 5 + ((-2 + 2*sqrt(13)*-6 + -1 + sqrt(1053) + sqrt(1053))*1)**2.\nAnswer: -64*sqrt(13) + 535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49075*l**3 + 23*l**2 - 16*l - 31?\nAnswer: -294450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 - 5*u + 3*u - 3*u**2 + 4. Let b be q(3). Let p(w) = 15*w + 6. Is p(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -4044023?\nAnswer: 4044030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 + -3 + (-3 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229141 = 10*l - 145489. Let y = l - 21486. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 630\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*d + 791, -2*r - 10 + 404 = -2*d. Calculate the highest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -5*u - 2*x, 11*x - 24 = -5*u + 10*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2290873833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -9 + -3 + -1 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(0*a + a + a**3 + 0*a**2 - a**2).\nAnswer: a**3 - a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 5*z**2 - z - 2. Let b be a(-5). Suppose b*r - 1 = 5. Suppose 0 = -5*u + f + 20 + 1, -2 = 2*u - 3*f. Sort r, u, -1.\nAnswer: -1, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254497756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.9 + -27. Let y = r - 3.9. Which is greater: y or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 3*o**2 - 2*o + 1. Let j be s(-4). Let y(w) be the third derivative of -w**5\/60 - 5*w**4\/12 - w**3 + w**2 - 45. Determine y(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007488802 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86? (a) -10\/61 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3 + (-3*sqrt(972)*-2 - (3 + sqrt(972) + 1)))*6)**2.\nAnswer: -3499344 + 25920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1275*j - 504 = 1443*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 4. Let d be a(-6). Suppose -17 = d*x - 5. Let t = -2 - x. Solve 5*b = -t*p + 5, b + p + p - 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -4)\/(2\/4*1). Find the common denominator of 3857\/672 - 8 - a\/(-6) and 19\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -676 + 678.97. Let v = -0.03 - b. Let h = 4 + v. Is h greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + (1 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + -1.4. Let y = -2.85 + -0.15. What is the third smallest value in -5, 0.4, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3119, 3112, 3093, 3056, 2995, 2904?\n\"Answer: -c**3 + 3120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -420 + -31022432?\nAnswer: -31023402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 741908 < 741908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 - r + 20 + (6 - 4 - 1)*(-2*r + 4*r - 3*r) - 2*r + r + 0*r + 3*r - 4*r + 0*r)*(61*r + 17*r - r) as k*r + v*r**2 + q and give v.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8)*n*n\/(n**(1\/3)\/n))\/(n**(1\/3)\/n)**49 assuming n is positive.\nAnswer: n**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 12 + 3 = 0. Suppose 0 = -3*t + 2*w + f*w + 141, -4*w = 3*t - 168. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + (2 - -18) + -3 - (-2 - 11 - 0).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -11. Find the third derivative of 3*g**2 - g**4 - 2*g**v + 2*g**3 - g**2 wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3921*g + 280 = 3929*g. Solve 9*a + 52 = g*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.39 - 1.12. Let h = -166.27 + 166. Let f = h + t. Are f and 2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 196. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*j + 116, -2*j = a - 5*j + 37. Let b = 39 + a. Suppose 5*c = -3*t + 20, -t + 5 = 5*c + 15. Solve 4*p + 41 = -5*m + b, 3*p + t = -2*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -975 bigger than -9718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**6\/40 - t**5\/30 + 30876*t**2. Let a be 0 - (-6)\/(1\/1). Let m(j) = 7*j**3 + 5*j**2. Calculate a*m(i) + 15*u(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-72)\/48)\/(18\/(-132)) - 35. Is 0.0534 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-290)\/(-12) - 4\/8. Let v = 165 + n. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, d: 1, x: 1, c: 3, k: 1, b: 1}. What is prob of picking 1 f, 1 k, and 1 d?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 5*j**2 - 7*j + 1. Let s be g(-3). What is the remainder when (-1)\/((-8)\/828)*s\/3 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001067686684 rounded to 7 dps?\nAnswer: 0.0010677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 194336.8 years?\nAnswer: 19433.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1764 and 27804.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 l, and 1 q when three letters picked without replacement from {x: 4, l: 1, q: 1, e: 3, z: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjxvcjjjvjjejjevjj. What is prob of sequence vvxv?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 + 7958\/(-16533). Let u = -8148597\/36740 + h. Let g = u - -222. Calculate the common denominator of 41\/16 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**20\/(r\/(r\/r**(-33)*r)))**(-46) assuming r is positive.\nAnswer: r**(-2484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 0.1. Let r = 3233 - 3232. Let o = -0.6 - -0.8. What is the nearest to o in 3, p, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11062*c**2 + 5670*c**2 + 293 - c + 5393*c**2)*(c**2 - 1 + 1) in the form k*c**3 + p + j*c + m*c**2 + h*c**4 and give m.\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 2222001010202?\nAnswer: -2222001010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3615 - -72411\/20. Calculate the common denominator of q and 91\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 894, 883, 860, 819, 754, 659?\n\"Answer: -r**3 - 4*r + 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28176648 is divided by 48083.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 3) to base 16.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 6*b**2 - 19*b + 1. Let j be m(-8). Suppose -12 = -k + j. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178.03446 months to centuries.\nAnswer: 0.14836205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30\/8*575\/(51750\/108)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 15*a + 4. Suppose -142 = -a*m + 5*r, 2 - 4 = -r. Calculate the smallest common multiple of m and 16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 13*n + 269992 = 5*d, -3*d - 154328 = -4*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*b + 53*b + 3*b**3 - 16*b as g*b + y + f*b**2 + j*b**3 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*j + 49, -4*x + 3*x + 462*j + 66 = 459*j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a - 2. Let s be r(-2). Suppose -4*z - 30 = -5*f + z, 0 = -3*f - 3*z - s. Let u(h) = -h**f + 2 + h + 2*h**2 + 3. Calculate u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -25*a**2 + 17*a + 3. Let r(p) be the first derivative of 3*p**3 - 3*p**2 - p - 43. Let b(w) = 11*r(w) + 4*z(w). Give b(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266965.1mm in nanometers?\nAnswer: 266965100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 307*g**5 + 21*g**3 - 3090*g**2 - 3*g wrt g?\nAnswer: 18420*g**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 16*f = 24. Let w(y) = -y**2 - y + 2. Let t be w(0). Suppose 5 = -5*i - 5, -t*v + 8 = -i. Solve -v*s = s - 4*a, f*a = -s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 21. Let x = 254 + -245. Let i be j(x). Solve 0 + i = -6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -9. Suppose 4*w = 5*f + 4 + 20, -3*w = -a*f - 13. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7737*h - 4.\nAnswer: -7737*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*c**5 - 6169710*c**2 + 455025012*c wrt c.\nAnswer: -920*c**3 - 12339420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2 + 2)*(2*l + 1 - 1) + 0*l**2 + 3*l**2 + 2*l**2 - 7*l + 7*l - 11*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/5 + (-3 - (-52)\/20). Let x(c) = c + 9. Let b be x(-5). Calculate the greatest common factor of u and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*d. Suppose u + 2 + d = 0. Let o = u - -26. Calculate the highest common factor of 60 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/10*-4)\/((-792)\/45 - -10).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 7, -30, -4, 0.07, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, -33, -97, -207, -375, -613, -933?\n\"Answer: -2*k**3 - 5*k**2 - k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 3. Suppose -21*f + 24 = -17*f. Solve 5*c - f = n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1870 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14)\/(-4)*(-2 - -60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/132 + (-80878)\/1272.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 8*n - 5. Calculate s(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2420)*1)\/(sqrt(490)*1).\nAnswer: 11*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17262*s**2 - 9963*s**2 + 12773*s**2 + 14813*s**2.\nAnswer: 34885*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9e91 - 1d?\nAnswer: 9e74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 639 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450140128 a multiple of 2859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*v = -192*v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2342 (base 5) to base 11\nAnswer: -296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/((-4)\/(-30)). Solve -3 = q*o - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 10:13 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -21. Suppose 0 = 2*x + b - 10, 0 = 2*x - 3*x + 3*b - v. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-330))\/((28\/(-1008))\/((-2)\/20)).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:14 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13927 = 4*x + c - 13706, -5*x + 34529 = 3*c. What is the greatest common divisor of 50 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/12*12*8\/(-60). Let p(n) be the second derivative of 8*n**2 - 1\/3*n**t + 2*n**3 - 2*n + 0. Find w, given that p(w) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -48?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181.28 + -181.48. Which is the nearest to 0.1? (a) 1\/3 (b) t (c) -2 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Suppose 2*t - 5*z = 3*t - 9, -r*t - 5*z = -6. Let w(p) = -17*p - 2. What is the remainder when w(t) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172 - 82. Suppose 89*t + 2 = y*t. Factor 4\/5*s + 16\/5*s**4 + 0 + 32\/5*s**3 + 4*s**t.\nAnswer: 4*s*(s + 1)*(2*s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**2 - 100*d - 391. Determine v(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/29 (b) 0.5 (c) -1.562\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*m = 79, 74 = 5*v - 5*m - 11. Is v 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 18508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 663 - 0.4\nAnswer: 662.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -264, -3.\nAnswer: -264, -3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1687*0.08\nAnswer: -134.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 161d5 (base 14) in base 15?\nAnswer: 11593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28497*v**2 - 14823*v**2 - 14638*v**2 + 801 wrt v?\nAnswer: -1928*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 12211010220?\nAnswer: -12211011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -297091.14 to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 3:31 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**2 - 90484*v**3 - 2 - 90759*v**3 + 181486*v**3 in the form u*v**2 + y + c*v + w*v**3 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-27119490)\/(-17) - (4 - 7)) + (-228)\/1938 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/44)\/(143\/((-69212)\/(-22)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**8)**26 assuming a is positive.\nAnswer: a**(-182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202302 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*i - 5*i**3 - 75*i - 95*i.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.211 + 1.711. Let f = -55 - -54. What is the closest to -1 in f, i, 80?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 4*p + 3. Calculate b(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 667.7056ml in litres?\nAnswer: 0.6677056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2970880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p + 23. What is q(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.0574 - -2.2354. What is the nearest to 2 in z, 1\/6, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 + 103628*m\/3 - 34542.\nAnswer: -2*(m - 51813)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 2\/7, 6959, 2\/19, -51 in decreasing order.\nAnswer: 6959, 2\/7, 2\/19, -2\/17, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 45 - 140 + 53 + 53 - 6*y. Let t(s) = 3*s - 5. What is 5*t(m) + 2*w(m)?\nAnswer: 3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6210, -12669, -19388, -26367, -33606, -41105?\nAnswer: -48864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.04, 24, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*2 - (11 - (-2604)\/(-36)) - (-24)\/36\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 1 - (-65 - -57)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -451.13 - -453. Let v = k + -0.87. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 + 1 = -3*x, 0 = 5*g + x + 1. Suppose g = -5*t + 5*n - 30, 0 = -5*t - 2*n - 27 - 10. Let y be 8\/2 + t + 3. Solve 2*h + 0 + 4 = y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b + 739036?\nAnswer: 739018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -6, 4, 3, 1804, -4 in descending order.\nAnswer: 1804, 4, 3, 0, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 140\/(-8) - ((-9)\/18 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10 = 2*p - 0*p, 11 = 3*p + o. Let u be (-42)\/9 - ((-70)\/15 + 4). Let v be 5 + 55\/(-10) + (-6)\/u. Put v, p, 6 in decreasing order.\nAnswer: 6, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24837\/7, -4\/3, 0.157, 2\/9 in decreasing order.\nAnswer: 24837\/7, 2\/9, 0.157, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 4 - 30*o + 28*o - 13.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 468901\/210 + -4467\/2. What is the common denominator of 8\/21 and a?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24)*-6)\/(sqrt(108)*-2 - sqrt(108)).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 6. Let b be 4 - (r + 2 - -1). Let i(q) = 5*q - 7 - q**b + 3 + 2*q**2. What is i(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358379, -716793, -1075239, -1433717?\nAnswer: -1792227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**7\/1260 - k**6\/540 + k**5\/180 + k**4\/36 - 8*k**3\/3 + 8. Let i(o) be the third derivative of u(o). Factor i(q).\nAnswer: -2*(q - 1)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3608281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*z - 43*z**2 - 77*z to the form u*z + i*z**2 + p and give i.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*9\/12)\/((-9)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 22 = -2*c, 4*c = -4*j - 51 + 47 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5711178*a**5 + 12*a**2 + 5149493*a - 6?\nAnswer: 114223560*a**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -115. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29781.8 days to minutes.\nAnswer: 42885792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4, 0.21, 2, -1, -1\/203?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/4 and (((-279)\/4)\/9)\/(-1 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1086*q = 1059*q + 2052. Suppose 4*a = -0*a + 304. Is a greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 3*u - 3. Let q(t) = 3*t**2 + 5*t - 5. Suppose -2*h - 3 + 12 = 5*g, -2*h + 4*g + 18 = 0. Calculate h*d(w) - 4*q(w).\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -70. Let d = 108 - 754\/7. Which is the closest to x? (a) 2\/5 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71.6 + -71.4314. Let o = 143 + s. Let z = 0.030957 + o. What is z rounded to 5 dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153077713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 91*p**2 + 666*p - 241. Calculate s(83).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x - 1. Let o be r(-1). Suppose -6 = o*j + 3. Let p be 0\/((j + 2)*2). Solve p = 5*i + 9 + 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c + 2*c - 4*c)*(1 + c - 1) + c**2 - 4*c**2 - 5 + 5*c**2 to the form r + p*c + x*c**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(77) - sqrt(77)))\/sqrt(7).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3595*f**3 - 7131*f**3 + 3295*f + 3535*f**3 to w*f**2 + b*f + s + a*f**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.169 (b) -0.85 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297855*a**3*b**3 - 173556*a**3*b**2 - 24*a**3 + 3*a*b**3 + 2*b**3 wrt b.\nAnswer: -1787130*a**3 + 18*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5435741, 5435740, 5435739?\n\"Answer: -o + 5435742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -41*i**3 - 3*i**2 - 2*i + 2. Let n be r(-2). Suppose 2*c - 700 = -5*x, 198 - 632 = -3*x - 4*c. Calculate the greatest common factor of n and x.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30751447 rounded to the nearest one hundred thousand?\nAnswer: 30800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*m + (0 - 1 + 2)*(-2*m - m + 2*m))*(513 - 260 - m - 251 - 42*m**2) in the form z + b*m**2 + g*m + s*m**3 and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -2*sqrt(110))*5 + (sqrt(110) - -3*sqrt(110)*-3))\/(5*(sqrt(640) + sqrt(640) + sqrt(640)*2)*-3).\nAnswer: -7*sqrt(11)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -78. Suppose 6 = 5*o - 14. Suppose -5*u = 2*p - 27, -o*p = -3*u - u - 12. Calculate the highest common divisor of p and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.4 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(147) + sqrt(147)*-2)**2.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/11*n**3 + 30\/11*n**2 - 84\/11 + 53\/11*n.\nAnswer: (n - 1)*(n + 3)*(n + 28)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, q: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.043 rounded to the nearest integer?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 15) in base 6?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-40)*-12)\/(169\/(-65)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 219636?\nAnswer: 439272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5253934 + -5?\nAnswer: 525392a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 273 = 350. Let t(r) = r + 2. Let c be t(d). Solve 5*a = 2*g + 15, a - c = 3*a + 3*g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 288*b**3*i**3*u - 4*b**3*i**2*u**3 - 29*b**2*i**3*u**3 + 5*b*i**2*u**2 - 3*b*u + 24*i**2*u**3 wrt i.\nAnswer: 1728*b**3*u - 174*b**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 - 157 + 653*q - 96*q**2 - 653*q.\nAnswer: -96*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -462, -916, -1346, -1734, -2062, -2312?\n\"Answer: 3*f**3 - 6*f**2 - 457*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + (-8 - -7) + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -35*i. Let h(p) = 142*p - 20. Let r(w) = -4*a(w) - h(w). What is r(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 1, u: 2, x: 5}. What is prob of picking 1 u and 1 x?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1103903 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven halves of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p = -135. Let s be 5 - (1*-4 - (24 - 30)). Suppose -5*m - s*t + t + 1208 = 0, -3*m - 2*t = -728. Calculate the remainder when m is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 - 34. Let q = -36 + u. Let i = q + 0.5. What is the second smallest value in 2\/3, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/34721 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 3*q + 6, -y - 4*q = 3 + 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-100)\/(-75)*2*(-51)\/(-2). Calculate the highest common factor of 16 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**3\/6 + 15*a**2\/2 + 9*a. Let r be n(-12). Is ((-11)\/r)\/((-4)\/84) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 2 (b) 5 (c) -3 (d) 1 (e) -2694\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-1375)\/2025 - (1 - 3)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718885662.\nAnswer: 2, 3, 11, 821, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 (base 10) in base 16?\nAnswer: -fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**3 - 2719*s**2 - 180*s - 54399. Give l(340).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 5*g**2 + 2. Let y be s(5). Suppose 3*j + 9 = 0, -y*u - 153 = -5*u - 5*j. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*h - 8609, 5*h - 1555*c - 14409 = -1553*c. Calculate the remainder when h is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20791, 41578, 62359, 83134, 103903?\nAnswer: 124666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m*s**2 + 28210*m*s - 53*s**5 + 6*s**3 wrt s.\nAnswer: -4*m - 1060*s**3 + 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and -0.9?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1214*l + 81337. Calculate w(-67).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-24)\/(-1233)) - (-3)\/12. Let v = 108 - t. Solve -4*l = -5*l - v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58260.\nAnswer: 2, 3, 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/6 (b) 3 (c) -0.3 (d) 4 (e) 1.038\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 5, -1 in increasing order.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 50. Is i(-24) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 2. Suppose -3*z - s = -5, 4*z - 2*s - 24 = s. Let v be y(z). Let k be (8\/3)\/(v\/3). Calculate the highest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -513*n**4 + 6 + 250*n**4 - 2*n - 3 + 259*n**4 - n**2 to the form g*n**2 + m*n + v*n**4 + p + r*n**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 7*c**2 - 4*c - 11. Let p be z(6). Suppose 5*l = 2*l + 51. Let q = l - 18. Which is greater: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 + -3 + -21 + (89 - 38)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1084, -1928, -2804, -3724, -4700, -5744?\nAnswer: -6868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2143138 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -21*d**2 + 360*d - 358. Determine x(16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**8\/21 + h**4\/8 - 2*h**2 + 23*h. Let i(w) be the first derivative of c(w). What is the second derivative of i(j) wrt j?\nAnswer: 320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4315*d - 3159*d - 278*d.\nAnswer: -7752*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26645960947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 4123?\nAnswer: 4124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 911972727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/216*-30*5\/100*128\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43999, 88048, 132183, 176446, 220879, 265524, 310423, 355618?\n\"Answer: 7*q**3 + q**2 + 43997*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166*d**4 - 162788*d**2 + 91506862*d wrt d.\nAnswer: 1992*d**2 - 325576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 123.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 73, 83, 95?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3)*2*(-15)\/8. Let v(f) = 8*f - 1. Let t be v(-1). Let o = -2303 - -2302. Sort o, t, k in decreasing order.\nAnswer: k, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, 11885 in decreasing order.\nAnswer: 11885, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 611100 and 4?\nAnswer: 611100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/341, 1\/49, 0?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845766.\nAnswer: 2, 3, 19, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 5. Let s be h(5). What is the third derivative of -20*b**s + 2*b**2 + 7*b**5 + 0*b**2 wrt b?\nAnswer: -780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56)\/((-4)\/2*1). Suppose -2*b = 5*b + w. Let u be (-3)\/2*(1 + 1). Is b < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + 56114?\nAnswer: 56143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -2, -3, 82, 2\/3, 3, -0.161?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016\/7 - (-15)\/(-105) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1772\/35 + -681043\/13440. Calculate the common denominator of k and -109\/960.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -84. Let h = 26 - c. Let o = -36.9 - -35.9. What is the second biggest value in -3, o, -2\/5, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 857386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2744369 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (67677\/(-68))\/(3\/(-8)).\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -6. Let i be 4\/14 - (-38)\/f. Suppose -i*y = -2*y - 18. Calculate the smallest common multiple of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28645227 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9 from -167660.\nAnswer: -167659.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -688999 - -689341.0765. Let s = 342 - t. Round s to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 13. Suppose -w = -4*w - p. Sort w, 2, -5.\nAnswer: -5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53 - (9 - -5)) + 38.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/(-6) + (-2)\/4. Suppose p*s - 4*i = 3*s + 78, 5*s = -2*i + 231. Calculate the remainder when s is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 1158943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 8679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 4*t + 34*t + (2*t + 0*t - t)*(5 - 2 - 4) to d*t + i and give d.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1531, -3230, -4931, -6634, -8339, -10046?\n\"Answer: -r**2 - 1696*r + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (90\/20)\/((-6)\/(-40)). Suppose t*v = 6*v + 13596. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 25. Let u(v) = 27*v**3 + v. Let x be u(1). Let o = x - 20. Calculate the highest common factor of o and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 11*s. Let w(o) = 80291*o. Determine b(w(r)).\nAnswer: 883201*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + -17 + 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -4*t**7\/105 - t**3 - 9*t**2. What is the first derivative of p(l) wrt l?\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 7024.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1151220 (base 6) in base 16?\nAnswer: -ef1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-22))\/1*-33.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1916\/8829 or 1?\nAnswer: 1916\/8829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 4*s - 6*s + (-16*s + 14*s - 29*s)*(-2 - 2 - 4).\nAnswer: 247*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -47. What is the smallest common multiple of 12 and (-2 - r)*52\/65?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zozozzbgog. Give prob of picking 1 o and 1 z.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14815610 divided by -61990\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 2)*2 - 1. Let k = o + -1. Suppose -k*x + w = -x - 11, -5*x - 4*w = -28. Solve -4*q + x = 4*j, 4*j - 11 + 0 = -q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -224*m**2 + m - 4*m + 225*m**2 + 17*m + 2 to s*m**2 + g + z*m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d - 24*d = -13*d - 38 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20300 (base 6) to base 13.\nAnswer: -12c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426204 is divided by 1964.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14188506*w - 463017 with respect to w.\nAnswer: -14188506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 22681*k - 249717. What is a(11)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20399526 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10104 + -20?\nAnswer: 10034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1037 + -637. Let k be (-2408)\/(-6) + 4\/(-18) + -2. Let y = k - a. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 41161105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g*r**3 - 394*g*r**2*x - 26*g*r**2 + 16*r**3*x - 1029*r**3 + 15*x wrt g?\nAnswer: -2*r**3 - 394*r**2*x - 26*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -14*l**3 - l**2 + 277*l - 276. What is h(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4684*l + 4670*l + 266 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97818516 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00110062965 to 5 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437 = -49*k + 26*k + 46*k. Let y(v) = -v**3 - 20*v**2 - 20*v - 38. Determine y(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 4, q: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/3, -2\/149, -20?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70.37 - -0.63. What is the nearest to 1\/2 in 1\/2, s, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*i + 2*i**2 - 2*i)*(2 + 2 - 5) + 3*i - 3*i - 2*i**2)*(-3*i - 13 + 18 - 13).\nAnswer: 12*i**3 + 32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/3, 2\/17, -65?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -16*u**2 - 14. Let a(v) = -2*v**2. Calculate a(d(m)).\nAnswer: -512*m**4 - 896*m**2 - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84 * -12331.9.\nAnswer: -1035879.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*o + 5*c, -9*o + c = -4*o - 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10635*c**4 - 1034*c**2 wrt c?\nAnswer: 255240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -2.3?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 49. Let z = 82 - 60. Let t be d(z). Let o be (-6)\/t - 116\/(-36). Solve 0 = y - 2*b + 7, -y + 0*b - 9 = -o*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2*p = 205. Let t = p - -6. What is the smallest common multiple of 10 and (-147)\/t - 1\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.0742\nAnswer: 0.0742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 64 = 44. Suppose 3*n - 8*n + 5*d + 60 = 0, 2*n - 28 = v*d. Solve -2*f + n = -5*b, 5*b - 5*f + 20 = -f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 653 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 153\/30*6070\/1821\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - -89.9. Let j = n + -92.00111. Round j to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 187*r + 8026. Give c(121).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28132957, 28132955, 28132953, 28132951, 28132949, 28132947?\n\"Answer: -2*x + 28132959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 + 154.94. Let x = h - -0.26. Which is greater: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -12 - (0 - (-2 - -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3615b3 (base 13) to base 8.\nAnswer: 4724361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.015 + -0.975. Round l to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113563752 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 9) to base 16\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46755\/187 - -250. Find the common denominator of h and 49\/121.\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25.31 in -604, -3, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -13*k + 150. Suppose -37*c**2 - k*c**3 - 47*c**2 - 408*c + 376*c = 0. What is c?\nAnswer: -8, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/23, -28.75, 0.086?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 0)*(30 + 18 + 53) - 2 + 9 + 2)*(-2 + o + 2 - 2*o + 0*o + 4*o + 1 - 1 - o + (2 + 2*o - 2)*(-2 - 1 + 4) - o + 4 - 4 + o + 2 - 2).\nAnswer: 844*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 e when three letters picked without replacement from bzbkzekpkuzpeb?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 41*a**2 - 317*a - 57. Does 12 divide o(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 7*h + 1 + 9 + 60, -4*r = -3*h + 30 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39318 and 20.\nAnswer: 393180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464 and 2668?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 s when four letters picked without replacement from {x: 5, s: 3, l: 1, m: 2, j: 1, k: 1}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 5*c**2 + 5*c - 8. Suppose 5*r + 96 = 21*r. Calculate o(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + -2 + sqrt(405)*-5 + sqrt(405))*1 + 2)*-6*2*-2)**2.\nAnswer: -207360*sqrt(5) + 3746880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 410766661 - -0.84.\nAnswer: 410766661.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 + -86. Let x = 4 + -7. Which is the second smallest value? (a) r (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -87. Calculate the common denominator of (806\/g)\/(-2 - 28\/(-6)) and 91\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(24\/235425) - -2. Let s = r + -37675. Let j = s + -1602. What is the common denominator of 25\/4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 195620201?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2617*k**3 - k**2 - 5*k + 11. Is w(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/7)*o)\/o)\/o*o*o**(-4)\/o*(o**2)**(2\/61) assuming o is positive.\nAnswer: o**(-2046\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 89.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + 2 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000093568 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2\/4 + 22\/4. What is the greatest common divisor of 40 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2398 is divided by 507?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 19 - 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1422 + 1422. Let v(o) be the third derivative of 0 + x*o + 0*o**3 - 1\/12*o**4 - 3*o**2. Let y(i) = 2*i**2. Calculate v(y(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -478.2884 - -2.\nAnswer: -476.2884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/11)\/b*b\/((b\/b**(-29))\/b) assuming b is positive.\nAnswer: b**(-317\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 + 552*x**4 - 4188*x**3 + 3640*x**2 = 0 for x.\nAnswer: 0, 1, 7, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.8, 3\/4, 4, 0.1, -0.08141, -1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 3\/2548282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.4 * -974.\nAnswer: 7207.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*10*18\/990?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 188618 smaller than 188620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 616, 495, 290, 1?\n\"Answer: -42*a**2 + 5*a + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 625800 to the nearest 10000.\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 15*r + 10. Let j be s(-14). Let q = -221\/4 + 56. What is the biggest value in -3, 11, q, j?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, u: 10}. Give prob of sequence wwu.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5*x - 3)*(-4*x**2 - 2*x**3 + 4*x**2) - x**4 - 5*x**4 + x**4.\nAnswer: -15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2573681 is divided by 4240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, g: 1, c: 1, j: 4, x: 4}. What is prob of picking 2 x and 1 j?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11100 or -11104?\nAnswer: -11104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12180 divided by -812.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 3*d + 83, -c + 21 = -5*d. Does 14 divide (c\/6)\/((-22)\/(-165))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4792 divided by 22.\nAnswer: -2396\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15022559?\nAnswer: 19, 113, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:30 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/2)\/((-6)\/44). Calculate the highest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 2. Suppose 3*h = -h + 24. Let g(a) = -a**3 + 6*a**2 - a + 1. Let j be g(h). Let b = -6 - -3. Let o(q) = 4*q - 3. Calculate b*o(s) + j*w(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 303189431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(84) - (sqrt(84) - 2*sqrt(84))) + sqrt(84) - sqrt(84)) + sqrt(84))\/(sqrt(12) + sqrt(96)\/(sqrt(16)\/sqrt(2))) + 4.\nAnswer: -5*sqrt(7)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1213673 (base 9) to base 10\nAnswer: -658839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 12 + (35 + -5 - 28).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -445\/3606 - -342091\/3692544. Calculate the common denominator of 95\/6 and b.\nAnswer: 6144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1905984 litres in millilitres?\nAnswer: 190.5984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010100110011110010010 - -10101?\nAnswer: -10010010100110011101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikf when three letters picked without replacement from {f: 4, k: 1, i: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-2 + sqrt(192) - sqrt(3)) + sqrt(3) + sqrt(21)\/sqrt(7) + -4 + sqrt(3) - (-4 + (sqrt(3) + 4*(0 + sqrt(3)) - sqrt(3)*-2*-5))))**2.\nAnswer: -240*sqrt(3) + 2716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1346 is divided by 803?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 + -193. Suppose 0 = -t - 2, u - t = 24 + 8. Which is bigger: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a**3 + 442 - 3*a**2 + 4*a**3 - 2*a - 914 - 10*a**3 + 469. Let y(j) = -47*j**3 - 13*j**2 - 9*j - 13. Calculate 26*k(o) - 6*y(o).\nAnswer: -30*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -1510?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1949*h + 1948*h - 32*h**2 - 3896*h)*(-9*h**2 + 8*h**2 + 3*h**2) in the form p + z*h**4 + f*h**2 + x*h + u*h**3 and give z.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168710918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 98.206 in 1\/5, 4\/7, 5, 2\/9, -1\/5, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - y - 44. Determine k(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**5*b**(-12) assuming b is positive.\nAnswer: b**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 12*b + 12. Let i = -36 - -40. Let l(o) = o**3 - 3*o**2 - 4*o + 5. Let c be l(i). What is the tens digit of q(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 24. Let t = 21\/5 - 4. Let h = 415\/44 - 37\/4. Put t, i, h in increasing order.\nAnswer: h, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 477, 3264, 10681, 25044, 48669, 83872, 132969?\n\"Answer: 386*v**3 - v**2 + 88*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391899.\nAnswer: 3, 130633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6498 + -0.9457. Let w = b + 1.6. Round w to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2583*z**3 + z**2 + 9*z + 7. Let v be n(-1). What is the units digit of 13*((-2)\/14 - v\/56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.74 - 0.26. Let i = -9.99999972 - y. Round i to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Suppose -z - 3 = -s, 2*z = -2*s - 0*s + 6. Suppose -1 = -q - 2*a, -22 = -z*q - x*q + a. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 v when four letters picked without replacement from {m: 1, e: 4, v: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 1 - 2 + 0*l. Let a = -2 + 4. Let p(x) = 5*x - 2*x - x + a. Determine -2*c(i) - 3*p(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 14 = -3*t - 33*g, 0 = 3*t - 3*g + 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -190*y**2 + 19828*y - 19828*y. Let w(a) = 2*a. What is w(q(c))?\nAnswer: -380*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 42 - 18. Suppose -a*o + 7*o = -3. Solve o*u + 3 = 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 = 2*x. Let u = -13 + x. Let w = 6 + u. Sort w, -5, -1 in ascending order.\nAnswer: -5, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11232*w**2\/7 - 21230*w\/7 - 912\/7 = 0. What is w?\nAnswer: -24\/13, -19\/432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(((o*(o\/(o\/o**(-6)))\/o*o)\/o)\/o))\/o)\/o)\/o*o\/(o*o**(-6)))\/((o\/(o\/o**7))\/o**(-5)) assuming o is positive.\nAnswer: 1\/o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 15. Suppose -q = -p - 14. What is the highest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2195834560 - -2195834578.00000018. Let n = 49 + -31. Let u = n - m. Round u to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -3*q**4\/4 + q**2\/2 + 15*q. Differentiate f(i) wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.02, 1, -1, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19018 or 18015?\nAnswer: 19018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - -17. Let f = -39 + n. List the prime factors of f\/2 - (-3)\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 + 8*j - 7. Give v(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2245425200 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 3:32 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8 + 6 - z + 2. Let s(l) = l. Calculate f(s(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 21. Let x be (5\/(-15))\/(h\/(-36)). Let a be 12 + x\/(((-8)\/(-2))\/4). Solve 4*i = -0*y + 3*y + a, 0 = -3*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*s - 2. Let t be (2 - 2)\/(3\/(-3)). Suppose t = o + s*o - 44. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145 + -152.1. Let g = w - -7.09999584. Round g to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 4*t + 2, -4*t + 7 = 3*i - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 74?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24002?\nAnswer: 2, 11, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -41, 546, 1 in decreasing order.\nAnswer: 546, 5, 1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-80)\/(-14) + 4\/14. Let v = 12 - k. Suppose 2*s + 300 = 7*s. What is the highest common divisor of v and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 1343?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 5*d + 53, 48 = -9*b + 5*b - 4*d for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**3 + 69255*s**2 + 830952*s + 2492748 = 0?\nAnswer: -69243, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r*v**2 - 47*r*v + 12*r + 3832*v**2 wrt v.\nAnswer: 4*r + 7664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, g: 3, d: 2}. Give prob of picking 1 g and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 1)*(d**2 + 0*d + 0*d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/33 and 127\/318.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 321 - 2571\/8. Suppose -25 = -5*u, 0 = -5*p - u + 3*u - 10. Let d be (-3 - p) + (-20)\/(-6). Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, s: 5}. What is prob of picking 3 j?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 24*x + 3*o = -20, 4*x = 3*o + 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + -6*(sqrt(70)\/(sqrt(100)\/(sqrt(40)\/sqrt(4))) + (sqrt(63) + 1)*-6).\nAnswer: 41 + 102*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -140533575, -2, 5 in ascending order.\nAnswer: -140533575, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i + 174. Calculate m(40).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2*q - 5 - 2.\nAnswer: -2*q - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - a - 61 = -4*c, -11*c + 4*a + 188 = -6*a + 11*a for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404057 is divided by 6122.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2845 (base 11) to base 16.\nAnswer: -e5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 1 - 1 + 220*r**2 + 3669 - 3669 + 3*r + r**2 - 3*r + (-3*r + 3*r + r)*(4*r - 4*r + r).\nAnswer: 223*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 10*x**2 + 7*x - 4. Let t be q(5). Calculate the remainder when t + 12\/(-3) + 0 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -56*j**2. Let a(l) = 2391*l. What is x(a(p))?\nAnswer: -320145336*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/17)\/(o\/(o*o*o**(-1\/51)*o*o)))\/((o**(-2\/27)*o*o)\/o**23) assuming o is positive.\nAnswer: o**(10933\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 31*n**2 + 39*n + 27. Is b(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - -65 - (12 - (-2 - 8)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/202 - -252\/101. Let p = 0.2 + -1.2. Which is greater: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1. Let u(t) = t + 3. Let o be 4 - (-4 + 5)*2. Suppose 0*z = -2*z + o. Let w(h) = z*n(h) + u(h). What is w(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsh when three letters picked without replacement from hsssh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82)\/12 - (318\/(-36) - -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2147*p**2*y**3 + 2*p**2*y**2 + p**2*y - 6*y**3 - 17650*y**2 wrt y?\nAnswer: 12882*p**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - o + 9 = 0, -49*q - 56*q - 2*o + 27 = -106*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 5 + -1 - -10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/266 and (2 + 3562\/(-546))*3\/14.\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 82. Let z = 32 - x. Let o = -31.99995 - z. Round o to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5270)\/(-217))\/(12 + (-1230)\/105)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/4)\/((-30)\/(-8)*35\/630).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 40020.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4054351 (base 6) to base 15.\nAnswer: 3c7a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o\/(o\/(o*o*o*o\/o**(-2\/3)))*o*o)\/o)\/(o\/o**(-7)))**46\/(o**(-15)*o*o**(6\/11))**29 assuming o is positive.\nAnswer: o**(12370\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 8. Let o = -10 - -6. Let a(s) = 10*s + 15. Suppose 31 = -2*j + 23. Let w(k) = -18*k - 30. Let c(d) = j*w(d) - 7*a(d). Determine o*c(r) + 7*b(r).\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4964117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14389, 3, -1\/9, -1\/5, -2 in descending order.\nAnswer: 3, 0.14389, -1\/9, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.117016991 + -495.29\nAnswer: -495.172983009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.56 + 3. Let h = -3.08 + 3. Let q = r + h. Round q to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.247 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(12) + sqrt(48)) + -1*sqrt(3500))\/(((sqrt(7) - sqrt(63)\/(sqrt(9)*1)) + 2*sqrt(7)*1)*5).\nAnswer: -29*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1537582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/592 and 7\/40.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105825132*d*v**2 + d*v - 45853123*d + 1 wrt v.\nAnswer: -211650264*d*v + d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 8. Let h be v(-4). Suppose -2*s + h = s. Factor -3*m**3 - s*m + 8*m**2 - 10*m**2 + 9*m**3.\nAnswer: 2*m*(m - 1)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124.74 + -120. Let o = 38.26 - 38. Let q = o + a. What is the second biggest value in q, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.61025 millennia to years.\nAnswer: 47610.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 941 divided by -2?\nAnswer: -941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -630680 from -4.\nAnswer: 630676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxdxgggxxggxxxxd. What is prob of picking 1 d and 3 x?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 78.74. Round s to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -701 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:14 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8966.\nAnswer: 2, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7611 + 7353.76. Round d to zero dps.\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/10)\/((-707)\/(-202)))\/((-87)\/7569)?\nAnswer: -87\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-8)\/(-2))*(-6)\/18.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110176 + 110181. Let g = 5 + -8. Which is the smallest value? (a) o (b) 99 (c) 0.2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 174945676 or 174945678?\nAnswer: 174945678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 13*i + 15. What is o(-10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 118 = -x - 3*m, -x - 3*m + 25 = 0. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*j - 4263*j - 2235*j + 289*j.\nAnswer: -6094*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fphpepfhnppp. What is prob of sequence fehf?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d - 3*d**2 + 3*d**2 - 2*d**2 + 8*d**2. Let y(t) = t. Let o be 0 - 1\/4*4. Let s(n) = o*r(n) - 6*y(n). Let q(l) = 3*l. Calculate q(s(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3 - 39*u**2 - 90*u = 0. What is u?\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.11+-3056407\nAnswer: -3056407.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.05, -2, 104, -2\/9?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 7*m**6\/30 + 5*m**2 - 4*m. Differentiate h(c) wrt c.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3094703564 plus 5?\nAnswer: -3094703559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13*473\/2236)\/(0 + (-2)\/(-4)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 170515 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -744 smaller than -744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2281, -2280, -2277, -2272?\nAnswer: -2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x - 3. Let c(a) be the first derivative of a**2\/2 - 112. Determine c(k(j)).\nAnswer: -5*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8))**(-1\/43)*x\/(x\/(x**(1\/15)*x))*x**11)**(-39) assuming x is positive.\nAnswer: x**(-102739\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12136 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t - 6 = -3*q, 10 = 4*t + 5*q. Let j be 1 - (-1)\/1 - -2. Suppose t = -2*d - j*h - h - 16, -10 = 3*d + 4*h. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 7:16 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259175706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 6*y = -13*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8760994.04 to the nearest one thousand.\nAnswer: 8761000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u**3 + 7*u**2 - 10*u - 15. Let m be g(2). Let d(j) = -j**3 + 47*j**2 + 98*j - 7. Calculate d(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y. Let g be (4*-4)\/(-4) + -1. Let k be 48*(g\/(-2) - -1). Let i(a) = -15*a. Give k*o(l) + 5*i(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/17 + 336908*w\/17 + 14188375058\/17 = 0. What is w?\nAnswer: -84227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/7 + 12\/42. Suppose h*l - 416 = 4*l. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*j - 12 = 0, 5*s + 2*j - 24 = -2*j. Solve -2*m + 4 = u, 3*u = s*m - u + 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 5*s - s**2 - 1\/6*s**4 - 5\/6*s**3 + 0. Let f(w) be the first derivative of c(w). What is the first derivative of f(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2193c (base 14) to base 13\nAnswer: 2b081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -683.5 and 0.3758.\nAnswer: -683.1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -247*q + 195*q**2 + 668*q - 215*q - 234*q - 1 to the form v + a*q**2 + x*q and give a.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.045379 + -0.062956. Let s = f + 0.108. What is s rounded to five dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1721\/7 - -239. Let s = g + 295\/42. Let q = -2.3 + 0.3. Put q, s, -0.2 in decreasing order.\nAnswer: s, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 4, -0.02875, 0.5, -1\/5, 0?\nAnswer: -0.02875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10839 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1040, 1010, 976, 938, 896?\n\"Answer: -2*f**2 - 24*f + 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8657250 to the nearest integer?\nAnswer: 2942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54883360 is divided by 30440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 y when three letters picked without replacement from yppyyppyppyy?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110112222101 + -101?\nAnswer: -1110112222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4422 + 220332321?\nAnswer: 220342243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 c when three letters picked without replacement from {y: 1, i: 4, c: 2, g: 3, h: 1, b: 7}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 12*v**2 + 18*v - 59. Let b(z) = z**3 - 2*z**2 - 14*z + 6. Let k be b(5). What is the remainder when 250 is divided by u(k)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -375505 or -375504?\nAnswer: -375504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3 = 3*w, w - 7 = -5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-411)\/(-516) - (-7140)\/(-9520).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1725 + 1848. Put i, -5, 4 in ascending order.\nAnswer: -5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101791\/16 greater than or equal to 6362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (92 - (56 + 8)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/106? (a) 15.5 (b) 0.6 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) - (-3)\/3. Let d(r) = -r**3 - 6*r**2 + 20*r - 4. Let u be d(0). Put -4\/11, u, 0.4, v in increasing order.\nAnswer: u, -4\/11, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 7) to base 16\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.322342563 to 2 dps.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44.4*2116.\nAnswer: -93950.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + 48 + -1 + 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 107966.3823ns?\nAnswer: 0.00000000017851584375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3*q - 11. Let h be g(8). Suppose 0 = -3*p - h + 74. Suppose -5*y = -0*y - p. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 137250\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t + 19*t + 4 - t**3 - 24*t + 9*t as l*t**3 + d + x*t + a*t**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757303*i - 757336*i - 9 + 43*i**2 + 9.\nAnswer: 43*i**2 - 33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/30*(-115)\/(-3059)*-28.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/4 + 21*l**4\/4 - 5*l**3 - 500*l**2 + 3000*l - 2500 = 0. What is l?\nAnswer: -10, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {d: 1, v: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1943 and 2948.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 361 = t. Which is smaller: 0.1 or t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-35*v - 39*v + 32*v)*(3 - 4 + 3) - 3 - 3*v + 3)*(-389*v**3 + 786*v**3 - 387*v**3) to m*v**2 + c*v + z*v**3 + f + s*v**4 and give s.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*d + 119796 = -80*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 = 31*i - 5 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**1*a)\/a)*a*a**(-3\/2))**(4\/3) assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 3 - 1 - (-2 + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 714 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15556 + 15554. What is the fourth smallest value in 0.3, 3, -28, j, -1\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 34 - 37 = 0. Solve -2*o - 10 = c - b*c, -3*o - c = 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717668591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 62.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = j + 21. What is the greatest common factor of j and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259779000 rounded to the nearest one million?\nAnswer: 260000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**3 - 3*p**3 + 4*p**3)*(5*p - 5*p + p) - 2*p**4 + 0*p**4 - 2*p**4 in the form b*p**3 + x + j*p + o*p**2 + r*p**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/35 - (-22)\/5. Let u(o) = -a*o + 7 - 2 + 4*o - o. Let x(d) = 1. What is u(y) - 4*x(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-1 + -2) - (-10 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-200)\/80*(4278\/5)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 9259?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 r, and 1 q when four letters picked without replacement from qqqqghqqqqhqrrhhq.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 7:48 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2206*l = 2203*l - 18 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 148882795 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: ((-32)\/(-96))\/(300\/15*(-1)\/(-6))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 4*r**2 + 6*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 520 divided by 12\nAnswer: 130\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10296508 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -16*v**2 + v. Let c be a(1). Let l = 18 + c. Determine s, given that 0 - 1\/2*s**l - 1\/4*s**4 - 1\/4*s**2 + 0*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*l + 81 = 3*t - 368*l, 3*t - 49 = 2*l for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1749.566 - -1755. Round f to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -247422 + -8aa?\nAnswer: -248221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(272)*5)**2 + -4*(-4 + sqrt(272)).\nAnswer: -16*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*7\/((-7)\/12). Let d be t\/9*(-3)\/2. Let a be (5 + d)\/(0 + 1). Sort -3, -5, a.\nAnswer: -5, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.37256284 less than 8?\nAnswer: 16.37256284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 467 - 1384\/3. Which is the nearest to -0.1? (a) g (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(7) + 5*-1*sqrt(7) + (sqrt(7) - (-2 + sqrt(7) + sqrt(63))).\nAnswer: -6*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -16 (b) 0.3 (c) 1\/1025 (d) 5 (e) -46 (f) 1 (g) -2\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/61))\/z**3 assuming z is positive.\nAnswer: z**(-123\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 - 4\/(4 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*k + 5 + (4*k - 5*k - k + (-4 + 5 - 2)*(k - 3*k + 3*k) + 2*k - 2*k - 3*k + 5 - 2*k - 5)*(11 - 8 + 14))*(k**4 - 2*k**4 + 3*k**4).\nAnswer: -278*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 550512?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24685, -49373, -74061, -98749, -123437?\nAnswer: -148125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (533 - 533 - 32*c + (-2 + 2 - 1)*(-c + c - c))*(6*c**2 - 4*c**3 - 6*c**2).\nAnswer: 124*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-235650)\/(-14) + (-18)\/126 + 2*-1 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 13 (b) -3\/4 (c) 3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**7\/7 - 16*x**3\/3 - x**2 - 46. What is the third derivative of n(m) wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 36 = -2*g. What is the greatest common divisor of g and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 47. Find h, given that 105*h + c - 70*h - 50*h + 3*h**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 23*u + 63. Give o(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10019741 or -10019739?\nAnswer: -10019739","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)\/(m\/m**(-1\/34))*((m*m**(-1\/9)*m)\/m*m)**(-5))**(-2) assuming m is positive.\nAnswer: m**(4123\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 935 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 61*i**2 - 796*i + 35. Calculate r(42).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.153 - 2.153. Let z = -10.2 + 63.2. Let f = z - 53. Which is the nearest to 0.1? (a) y (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -215650000 to the nearest one million.\nAnswer: -216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-14)*(-11)\/(792\/84)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 11*s**2 + 3*s + 12. Let w be z(-10). Suppose 0 = -2*g + 4*g - w. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30214180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.95 (b) -168 (c) 3\/8 (d) -0.2 (e) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9246 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2. Let k(j) = 172*j**2 + 20*j - 40. Let i(v) = -v**2 - v + 2. Let b(a) = 20*i(a) + k(a). What is b(r(o))?\nAnswer: 152*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -373 + 376. Solve -4*q = z*t, -2*t + 8 = -t + 4*q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7184.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 239940*k - 239940*k - 2423*k**2 + ((4 - 4 + 2)*(0 + 0 - 2) - 1 + 1 + 3)*(-k**2 + 19 - 19) as i*k**2 + j*k + n and give i.\nAnswer: -2422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + m**2 - m + 11. Does 53 divide h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/5, -2\/5, 0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3 + sqrt(2299) - sqrt(2299))**2 + 2 - ((-1 + sqrt(2299) - sqrt(2299))*-4)**2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141958571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1552879 or -1552854?\nAnswer: -1552879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -403 - -405. Factor -k - 8*k + u*k**2 - 7*k + 24.\nAnswer: 2*(k - 6)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10704 = -103*z + 22393 + 10678. Solve 423*j = z*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3227, 6317, 9419, 12533, 15659, 18797, 21947?\nAnswer: 25109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -852, -3032, -6666, -11754?\n\"Answer: -727*x**2 + x - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 211*h**3*y**2 + 3*h**3 + h**2*y - 3*h**2 wrt y?\nAnswer: 422*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*o + 1063892 = -430199. What is the remainder when o is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -936 in -0.07, 0.14, 2\/25?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k**2 - 15. Let c(w) = 3*w**2. Determine s(c(o)).\nAnswer: -63*o**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 69*k**2 + 1078*k - 1023. Determine g(82).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 3 - 2) + 7735\/13. Let w = u + -598. Suppose 48 = 7*v - 3*v. Put -2, v, w, 5 in increasing order.\nAnswer: w, -2, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 8*n - 13. Let t be y(6). What is the biggest value in t, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(5 - 0)*-54. Let h be -4 - 3\/(r\/68). Let v = h + 22\/9. What is the closest to 1\/3 in 2\/7, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -32, -2, -22, -5 in increasing order.\nAnswer: -32, -22, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1123023 (base 5) to base 16.\nAnswer: 4fa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/3 + -2)*3. Let v be ((-63)\/9)\/(0 - c). Let y(f) = -f + 6. What are the prime factors of y(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 754 and 858.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 31*a**2 - 8215*a - 164. Determine h(265).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 + 6 = 0. Solve -d*w + 32 = 4*g, -5*g - w + 31 - 7 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnn when three letters picked without replacement from hnhnhnhhhnkhnkhhkhk.\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 13*l - 4*l + 7*l + 5*l. Let q(n) = -2*n**2. Calculate q(j(k)).\nAnswer: -882*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {y: 2, p: 2, q: 6, o: 2, l: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (78\/(-4))\/(-1)*360\/108. Let d = -64 + o. Let b(j) = 2*j - 7 + 8 - d. Let h(a) = -2*a**2. Determine b(h(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u**2 - 2*u + 2. Let m(y) = -751*y - 9*y**2 - 782*y + 1536*y - 2. Calculate -3*m(r) - 4*z(r).\nAnswer: -13*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h - 40. Suppose 3*s + 375 = -2*l + 4*l, 0 = -5*s + 5. Suppose 8*z + z = l. Is 32 a factor of f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 4, 2, -2055, -49 in increasing order.\nAnswer: -2055, -49, -24, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (272\/(-2380))\/(4\/10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 754860 divided by 5\nAnswer: 150972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 161627 = -q + 3*t, 129346 = 4*q - 5*t. What are the prime factors of q?\nAnswer: 11, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 45. Suppose 18*c - d*c = 10230. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*g + 188*g + 4277 = 0 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {e: 5, m: 13}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83462378 or 83462381?\nAnswer: 83462381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.31 + 61167.\nAnswer: 61170.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - p - 1. Let r be z(-1). Let c = 5044 - 35755\/7. Let h = 63 + c. Is r < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 24*l**3 - 3*l**2 - 11. Let p(o) = -4*o**2 - 14 - 20 + 78*o**3 - 4*o**2 - 6*o**3. Let b(g) = 3*p(g) - 8*w(g). Differentiate b(a) wrt a.\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005671424 rounded to six decimal places?\nAnswer: -0.000567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 16*f - 388. Let p = -11 + f. What are the prime factors of p?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-3))\/((-12)\/108). Suppose n*m - 25 - 11 = 0. Let b = 1724\/519 + 2\/173. Which is greater: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 32*u**2 + 122*u + 273. Calculate g(-28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 4, -358, -178 in increasing order.\nAnswer: -358, -178, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4555 and 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1510858.1709738 + 1510858. Let s = 4336.829 - 4337. Let w = d - s. Round w to six dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*j - 11, j - 4 = -3*s - 21. What is the nearest to 0.03 in j, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 154*f + 4601. Let b be z(-29). Calculate the highest common factor of 3780 and b.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 4) + (-3 - 5) + -7 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h + h**2 - 2*h**3 - 10*h**2 - 2*h as v + c*h + j*h**3 + n*h**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (35\/20)\/((-1)\/(-36)). Suppose 59*u = z*u - 20. Solve 2*m = -2*m + u*y - 41, 3*y = m + 19 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k = 26*k - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/5)*n**5*n*n*n*n**1*n**(-2\/13)*n*n assuming n is positive.\nAnswer: n**(679\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010 (base 3) to base 16.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**2 + 1226*l + 9685. What is f(-8)?\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) 0 (b) 0.4 (c) -13387\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjdrjjsjjdjjjs. Give prob of picking 2 s and 1 j.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -485, -433, -353, -251, -133, -5, 127, 257?\n\"Answer: -m**3 + 20*m**2 - m - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4\/5 + 942*o**3\/5 - 939*o**2\/5.\nAnswer: -3*o**2*(o - 313)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g**2. Let f(w) = -2*w**2 + 6*w**2 - 7*w**2. Determine f(l(b)).\nAnswer: -75*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 13 = -5*p, -88 = 3*p - 3*u - 94 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -3 - 5\/6*w**6 + 0*w**2 + 0*w**5 + 0*w + 0*w**4 - 2\/3*w**3. Find the third derivative of r(h) wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4 + 3 + 2 - 10. Let o(t) = -5*t**4 + 25*t**3 - 30*t**2 + 1. Let n(c) = o(c) + y(c). Find m such that n(m) = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 434*r - 15261. Is o(137) a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 17*d**2 + 21*d - 78. Let w be m(16). Suppose 5*s - 13 = -4*y, -w*s - 9 = 2*y - 15. Suppose 0*c - c = 0, -u - 1 = -2*c. Is y < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 2*f - 1. Let d be z(2). Suppose -203*q + 8 = -195. Sort q, 4, d in descending order.\nAnswer: 4, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 8*k + 2. Is k smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**3 - 3*g**2 - 3*g + 3. Let q(k) = k - 3. Let d be q(6). Let r(s) = 7*s**3 - 5*s**2 - 5*s + 5. Let h(p) = d*r(p) - 5*l(p). Solve h(b) = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(11) - sqrt(99)))**2 + sqrt(77)\/sqrt(7) + 5.\nAnswer: sqrt(11) + 31\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -164 + 200. Let y be 114\/d + (-3)\/18*1. Factor 0*b - 4\/5*b**y - 16\/5 + 12\/5*b**2.\nAnswer: -4*(b - 2)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 143*n**4 - 4*n**3 - 78*n**2 + 4*n. Let k(q) = q**4 + q**3 + q**2 - q. Let v(i) = -4*k(i) - w(i). Find the third derivative of v(x) wrt x.\nAnswer: -3528*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - (4 + -2 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 533 and 527055?\nAnswer: 6851715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390616.\nAnswer: 2, 157, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*b - 17, 4*p - 2*b + 10 = -16. Let n(t) = 3*t + 20. Let y be n(-8). Sort y, 5, p in increasing order.\nAnswer: p, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bii when three letters picked without replacement from {i: 2, b: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/((i**8\/i*i)\/i)*i))*i)\/(i*i\/i**(2\/41)*i) assuming i is positive.\nAnswer: i**(-285\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.1 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18905246?\nAnswer: 2, 317, 29819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1457760 or -1457754?\nAnswer: -1457754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4979 is divided by 4042?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 16*n - 6. Calculate u(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*5*5\/50?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 8*r - 3. Let t be y(8). Let p be 12*t\/(-12)*-6. Let d be (-3)\/(p\/8)*3. Is 5 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1 - 4 + 92*b - 91*b. Give h(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12416, -40217, -92860, -145519, -198200, -250909, -303652, -356435?\n\"Answer: -p**3 + p**2 - 52629*p + 65045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-22) - 4\/(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-12) + (46035\/(-6))\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g + 322. Give z(23).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) + sqrt(162) + 2*sqrt(162)))\/((2*sqrt(72))\/sqrt(12)).\nAnswer: -9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1 (b) 0.01 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 8. Let b(h) = -9*h + 50. Let f be b(21). Let x = 145 + f. Sort 1, r, x, 4.\nAnswer: 1, r, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -345021 and 714?\nAnswer: -246344994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 8:56 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -2*u**3\/3 - 3*u**2\/2 - 3*u + 2. Let h be (-24)\/(-112)*80\/(-15)*(-14)\/(-4). What is w(h)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -7. Suppose 0 = -q*x - x + 12. Let w be 22\/8 + 1\/x. Which is the closest to 0.1? (a) -2\/5 (b) 9\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -945 + 949. Let l(z) = z**3 + 2*z**2 + 3*z. Let w(a) = -a**3 - 3*a**2 - 2*a. What is u*l(h) + 6*w(h)?\nAnswer: -2*h**3 - 10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v + 2*v**2 + 5*v + 1 + 2*v + v**3. Let h be g(-2). Let l(n) = -17*n. Let p(j) = 31*j. Let f(x) = 11*l(x) + 6*p(x). What is f(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - t - 6. Let u be (27\/(-15))\/(3 - (-155)\/(-50)). Let y be (1\/4)\/(u\/432). Determine q(y).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 78.936 meters?\nAnswer: 78936000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2305.\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -4*d + 2\/45*d**5 + 2\/9*d**3 + 1\/6*d**4 + 1\/9*d**2 + 0. Solve t(a) = 0 for a.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7733, 31012, 69843, 124226, 194161, 279648?\nAnswer: 380687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -318*j - 1145. What is the remainder when 826 is divided by b(-4)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264066991 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -6480946\nAnswer: -1\/6480946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**3 - 5*m**2 - 45*m - 40. Determine p(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*t + 6. Let k = 32 + t. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2281912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - b + 4 = b, -2 = -5*n - b. Suppose n*j - j = -5. Let a(m) = 0*m + m**3 - 4*m**3 + 6*m**3 - j*m. Let r(l) = 4*l**3 - 6*l. What is 6*a(s) - 5*r(s)?\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2091*o**2 + 2094*o**2 - 2565 - 2*o**4 - 4383*o**2 wrt o?\nAnswer: -8*o**3 - 396*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3029.58 times -1.8\nAnswer: -5453.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 433.5235l?\nAnswer: 433523.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -8408950.\nAnswer: 17\/8408950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 4, n: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 1513*n**7\/210 + 75*n**4\/8 - n**3\/6 + n**2 + 188. What is the second derivative of h(g) wrt g?\nAnswer: 18156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {u: 1, j: 2, d: 4, p: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 213, 2, -10445?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 29*z**5\/60 - z**4\/24 - 5*z**3\/3 - 2*z**2. List the prime factors of t(-3).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24671919019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -807647 by 34.\nAnswer: -807647\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**5*v**2 - 8*j**3*v**3 + 25*j**2*v**2 - 2*v**3 + 2*v**2 wrt j.\nAnswer: 300*j**2*v**2 - 48*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddsdsdssddssdsdddsss. Give prob of picking 1 d and 2 s.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38661863*i**5 + 3*i**4 + 6*i**2 - 21540488.\nAnswer: 2319711780*i**2 + 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 1 - (-693)\/(-42))*2. Let t(j) = -29*j - 2. What are the prime factors of t(a)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/21 + 4 + 52\/(-28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2415468967 and 170.6.\nAnswer: 2415469137.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 9:57 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 126 = 3*q. Let n be 5 + (-80814)\/(-36) + 3\/q. What is n rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d. Let x(u) be the second derivative of -149*u**4\/12 - 27*u - 1. Calculate x(l(j)).\nAnswer: -3725*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*o**4 - 9*o**4 - 392*o - 456*o + 11*o**2 wrt o?\nAnswer: 360*o**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-45) - (-2 + 1616\/(-18)). Let s(b) = 0*b + 0*b + 95*b**2 - g*b**2. Let x(v) = 0*v + v - 4*v. Determine s(x(d)).\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**4\/12 + 5*j**3 + 16*j**2. Let a be w(-15). Suppose a = -3*n + 4*n - 5. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(n - 3 + 3) - n + 4*n + 0*n - 1 + 1 + 2*n - n - 1 + 1 + (-1 + 2*n + 1)*(0 - 3 + 1).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 4 - (-8 + (4 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -l - 13, s + 4 = 2*s - l. Suppose -201 + 54 = 3*b. Let m = b - -49. Solve s*i + m*i = -15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1308.2 and -97.198.\nAnswer: 127154.4236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 6. Let j be d(0). Suppose 0 = -y - j*y + 70. Suppose 15 = 7*o - y*o. Which is the third biggest value? (a) 0.4 (b) -7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(4\/3)*w**5*w*w*w**(2\/5)*w*w**(-5\/6)*w*(w\/(w\/(w*w**0\/w))*w\/((w**(-1\/8)*w)\/w))\/(w*w\/w**(-1))**(-2\/13) assuming w is positive.\nAnswer: w**(15319\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -16693c?\nAnswer: 16693e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2. Let w(a) = -985*a. Calculate w(f(p)).\nAnswer: 985*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 1\/12*f**4 + 0 + 5\/2*f**2 + 5*f + f**3. Let m be n(-5). Solve r - 3*r = m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1003745618?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 25037*k**2 + 23*k - 1. Is y(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -20*u + 74. Let n(o) = 44*o - 167. Let t(x) = 4*n(x) + 9*p(x). Let i(w) = w - 1. Let d be i(-3). What is t(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (0 - 2) + 30 + (-50)\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -682173 (base 9) to base 7.\nAnswer: -3320430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32134, -41677, -51220, -60763?\nAnswer: -70306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -822690 times -0.23\nAnswer: 189218.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1003806.544 to the nearest one hundred.\nAnswer: 1003800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 - -1.4. Let x be ((-10)\/(-35))\/(1 - 0). Which is the nearest to k? (a) x (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 417 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1989 - 17*l - 1987 - 46*l)*(-2*l**3 + 0*l**3 - l**3).\nAnswer: 189*l**4 - 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12010211 (base 3) in base 7?\nAnswer: -13633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-840)\/(-18)*(-5760)\/38400\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56408*i**3 + 27987*i**3 + 28491*i**3.\nAnswer: 70*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-2)*((-114)\/36)\/19. Which is smaller: t or 15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 3*o - 3. Let q(a) = -3*a**2 - 11*a + 11. Let u(g) = 22*m(g) + 6*q(g). Let d(x) = -3*x**2. What is d(u(v))?\nAnswer: -48*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5365\/(-325119)*(24\/10)\/(-2).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 7*q + 6. Let r(d) = -3*d**2 + 20*d + 18. Let x(o) = 11*c(o) - 4*r(o). What is x(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 8*w**2 + 9*w + 9. Let n = -439 - -444. Calculate the remainder when j(7) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8372 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h**(-7\/4)\/h)))*h**11)**31*((h*h\/h**11)\/h**(-4\/5))**(-5\/12) assuming h is positive.\nAnswer: h**(1382\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -332\/8337303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-2 + sqrt(612))*-4 - sqrt(612)) + ((sqrt(612) + (sqrt(612) - (sqrt(612) + 1 + sqrt(612) - sqrt(612))))*6 - (sqrt(612) + 2 + -3)) + -1)*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613516 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: Which is the sixth smallest value? (a) 0 (b) 0.4 (c) -6 (d) -8.5 (e) 1\/4 (f) 4\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -176380012 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/36 + (-11)\/(-3). Suppose 3*b + c = 0, -3*u = -0*u + 5*b - 1. Suppose u*j + 31 = 3*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 8:25 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5052000 to the nearest 100000.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**2 + 0*c**2 - 4*c**2 + (-c - 5 + 5)*(2 - 2*c - 2))*(-c + 6*c - 2*c) as k + l*c + i*c**3 + b*c**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1. Let j(t) = -t**3 + 11*t**2 - 8*t - 14. Let p be j(10). Suppose 2*b - p + 4 = 0. Let q(y) = y**2 + y - 1. Let h(v) = b*q(v) - w(v). Factor h(r).\nAnswer: r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = l, -2*p + 3*l + 6 = -p. Suppose f + p = -5*c - 0*c, -c - 81 = -4*f. Calculate the highest common divisor of 133 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 - 1) + -1 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 4\/29 (c) 532\/3 (d) -0.2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4252918*d**3*o + 772*d**3 - 9*d**2 - 7692*d + 14*o wrt o?\nAnswer: -4252918*d**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27)\/72)\/((-18)\/(-60)))\/(1\/16).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4251*a - 4252*a - 10 = 0, -5 = 4*o - 3*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10.8*0.075561\nAnswer: 0.8160588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26612163 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 93, 96, 101, 108?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*x - d + 11, -x - 4*d = 5. What is the remainder when 4 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*f + 9*p, -f - 5*p + 10 = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-176)\/18 + 2\/(-9). Let i = -8 - b. Suppose 6 - i = s. Solve -2*q = -3*q + s*y + 15, 0 = -2*q + 3*y + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 - -77. Suppose g = j*o + 79, -g + 0*g = o - 85. Suppose -g = -7*m - 0*m. Calculate the highest common divisor of m and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 5*g**2 - 7*g. Suppose -4*a - 3*v + 52 = 0, 0 = 2*a - 5*a - 5*v + 28. Let u be (4\/(-10))\/(a\/240). Calculate n(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-6) + (-4 - -7). Let q = -0.33 - 1.67. Put 0, -4, w, q in increasing order.\nAnswer: -4, q, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/((-23)\/(276\/32))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1116 + 2737 - 2*r**2 - 1621.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2049593 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -101.5.\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0185 - 0.0627. Round l to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -4. Suppose -5*h = 3*r - 0*h - 4, r + 4*h = j. What is the units digit of 1*2*(-7)\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1277393.8 or 0?\nAnswer: 1277393.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -4*c**6\/15 + c**3\/6 - 45*c**2\/2 - 16*c. Differentiate j(a) with respect to a.\nAnswer: -32*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 163ab31 + 2?\nAnswer: 163ab33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-1))\/(19 - 17). Suppose 0 = z - 0*z + c*i - 22, -22 = -3*z + 5*i. Let l(o) = o**2 + 3*o + 14. Does 21 divide l(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35014 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150 + 75 - 122*u - 251*u + 75)*(28 - 56 + 34).\nAnswer: -2238*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1266 = -161*h + 164*h. Let p = h - -566. Calculate the highest common divisor of 36 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*m - 141 = 0, 5*s - 235 = 5*m - 2*m. Suppose 0 = -3*b - 5*v - 63 + 354, -3*b = v - 303. Let q = b - s. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -506*i + 1354. Determine m(4).\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43770.\nAnswer: 2, 3, 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*b = 56, -5*b + 65 = 4*q - 9*q. Sort -2, -1, q, -4.\nAnswer: q, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72766 is divided by 161.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + j**2 - j - 1. Let l(d) = 2*d**3 + 3*d**2 - 3*d - 3. What is -3*c(x) + l(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpjc when four letters picked without replacement from {a: 3, b: 1, c: 1, j: 5, d: 3, p: 4}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/12 and -26*(4\/(-48) - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*n = 1, 3*n - 7 = m + 2*n. Let g = m - -15. Suppose 0 = -5*z + 2*i + 3*i + 25, 4*i = -z - g. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -51*c - 680. Let f be x(-15). Let j = 9 + 8. What is the greatest common factor of j and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234 + 119*o**3 - 234 - 23*o**3.\nAnswer: 96*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3094 + -9311. Let v = -2817 - c. What is v rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 20, 14, 8?\n\"Answer: -6*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7185?\nAnswer: 3, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.063*-17240.\nAnswer: 1086.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337423.\nAnswer: 317, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (0 - -6 - (6 + -6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**2 - 46*f - 47 = 0.\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.78 - 0.22. Let i = 2.5 + u. Which is the second biggest value? (a) 0.1 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40931 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v + 850 = -35*v - 87*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 106491b + -7?\nAnswer: 1064914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mikmmikgmimkieiem. What is prob of picking 2 e?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 8*y**2 - 4*y - 40. Suppose 25*c + 150 = 40*c. Calculate r(c).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 14, -32, -144, -346, -662, -1116, -1732?\nAnswer: -2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(((-30)\/(-1175))\/3).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67667883523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/10296 and -79\/202488.\nAnswer: 607464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**6\/20 - 3*v**5\/4 - 37*v**4\/8 - 15*v**3 - 27*v**2 + 757*v + 2. Suppose a(k) = 0. What is k?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 65770, 65769, 65768, 65767, 65766, 65765?\n\"Answer: -k + 65771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 136433*i. Let n(k) = -1024*k. Give n(r(t)).\nAnswer: -139707392*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206818210 + -0.3377485.\nAnswer: 206818209.6622515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 8*w**2 + 1023*w - 11178. Calculate k(-138).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 368.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/149 less than 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 + 22\/(-5). Let m = -159509.22 + 159509. What is the nearest to z in m, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/((-3)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*h + 29*h - 15. Solve p + 0 = -o - h, -3*p + 4*o = -13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 706*d**2 + 5567?\nAnswer: 1412*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + 570?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c - 6 = -18*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-112*f**3 + 586 - 25841*f - 25842*f + 111*f**3 + 51664*f)*(-f + 3*f - 3*f) as g*f**3 + k + o*f + s*f**4 + l*f**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)*i**(-5))\/(i**(-2)*i)**(-48) assuming i is positive.\nAnswer: i**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000293272358 to 6 decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -66763, -133573, -200383, -267193, -334003?\n\"Answer: -66810*j + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16 - 11\/(11\/(-6)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 381543*-1\nAnswer: -381543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-1*sqrt(500) - sqrt(500)) + 5 + -6*sqrt(500)*3 + -5))**2*5.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 789 + 2874 = -b, 0 = 2*b. Let r = -21543\/31 - w. Is 1 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - -2) + -13 + 0 + 78 + -71?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26915*i**4 - 4*i**2 + 34*i + 3 wrt i?\nAnswer: 645960*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 - 8*z + 350. What is the remainder when y(13) is divided by 69?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**3 - 7*j**2 - 9*j + 9. Let k(t) = 8*t**3 - 14*t**2 - 17*t + 15. Let n(w) = 3*k(w) - 5*u(w). What is n(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 18440?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*r - 8. Calculate the common denominator of -2*r\/(-30) + (-37)\/(-20) and -35\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 12 = -0*h. Let m = h - 0. Suppose -7*b + 8 = -m*b - 3*p, 5*p - 45 = -5*b. Solve 0*z - 25 = b*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 231*g**3 - 5*g**2 - 64*g + 10. Let q(d) = 232*d**3 - 6*d**2 - 63*d + 12. Let s(n) = 6*l(n) - 5*q(n). Find the second derivative of s(i) wrt i.\nAnswer: 1356*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032 * -7.2902\nAnswer: 0.2332864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/24 and -27\/2122.\nAnswer: 25464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -51*y + 36*y**3 + 22*y + 26*y - 25*y**3 + 2 + y**2. Let f be a(1). Solve o = -3*o - b + 11, -2*o = -5*b - f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/13)*w**0*w**(-5\/2)\/w**3)\/(((w*w*(w*w*w**(-2\/3)\/w)\/w)\/(w\/w**(-2\/3)))\/(w**0)**(-6\/13)) assuming w is positive.\nAnswer: w**(-391\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 16*n + 7. Let l(j) = j**2 + 17*j - 10. Let x(b) = -7*l(b) - 8*s(b). Give x(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 - 46*o**2 - 192*o + 1808. What is c(17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8451*v**2 - 87*v - 11 wrt v.\nAnswer: 16902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3687, 4616, 5549, 6486, 7427, 8372?\nAnswer: 9321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123.602877 rounded to zero decimal places?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**8\/420 + w**5\/30 - 2*w**3\/3 - w**2. Let d(v) be the first derivative of k(v). Find the second derivative of d(u) wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-8)*(-1539 + -4 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -18 + (-16 - 18 - -18)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*p - 35*p + 400 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(88)\/(sqrt(200) + sqrt(200) + 2*sqrt(200) - sqrt(200)) + -2)**2.\nAnswer: -4*sqrt(11)\/15 + 236\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1795954ml to litres.\nAnswer: 0.0001795954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 0.05, -0.33, -5 in descending order.\nAnswer: 0.05, -0.04, -0.33, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 16*x + 48. Let y be d(12). Solve 3*j - 7*j - 12 = y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -112, -116, -122, -130, -140?\n\"Answer: -x**2 - x - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6707 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + n. Let w be ((-1)\/2)\/(-2 - 9\/(-6)). Let y(q) be the third derivative of -q**6\/40 - q**5\/60 - q**4\/24 - 14*q**2 + 2*q. What is w*y(k) + d(k)?\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2043515317?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 915437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (24 + -14 - 32) + (-5 - -73).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 23. Let f(a) = -72*a - 4. Let w be f(-1). Let b = w + -60. What is the remainder when h(0) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 13 - 7. Let y(s) = -2*s**2 + 47*s - 21. Let t be y(23). Suppose -61 = -5*q + l, r*q - t*l = -0*q + 44. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 697709610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/4 and 57\/71884?\nAnswer: 71884","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 4, z: 1}. Give prob of sequence lf.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10884 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-4)\/6) - 5\/35*133\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - -0.3. Let k be 3\/(38\/(-4) + 2). Let p = -0.2 + 0.2. Sort p, q, k in increasing order.\nAnswer: k, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.1 - 11.1. Let f be 2\/5*(-5)\/7. Sort 0.1, o, f in decreasing order.\nAnswer: 0.1, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64600 - -1?\nAnswer: 64601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**7\/840 + 59*c**4\/24 + 29*c**2. Let m(y) be the second derivative of k(y). Let t(l) = 3 - 2*l - 3. Give m(t(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 46, 160, 382, 748, 1294, 2056?\n\"Answer: 6*c**3 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(40) + (sqrt(160) - 1*sqrt(160))))\/(-6*sqrt(40)\/sqrt(45)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lluu when four letters picked without replacement from lllullllulllllllllll?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 46*l**2 - 2831*l - 317. Give h(81).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279*57.\nAnswer: -15903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 68*u**2 + 60*u + 445. Give z(69).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = -6, -69 = -3*n + 4*j. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1199 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11587454595 to 6 decimal places.\nAnswer: -0.115875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1001\/3 - -7945\/24. Let u = -50511\/16 - -3155. Calculate the common denominator of r and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19687971 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655893068.\nAnswer: 2, 241, 680387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d393 (base 14) to base 7.\nAnswer: 651043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 3, -2\/7, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(384) - -1*sqrt(384)*-4))\/((-1*sqrt(784))\/(sqrt(72)\/(sqrt(9)*-2))) + 1.\nAnswer: -24*sqrt(3)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 28. What is the lowest common multiple of 16 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 29*n**2 + 62*n - 28. What is i(31)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3133448776 = -0*b - 4*b. Suppose 66*x - b = 1802517806. Round x to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 - 62160*g**3 - 324074496*g**2 - 577504539328*g - 55599323671488.\nAnswer: -4*(g + 102)*(g + 5146)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88976?\nAnswer: 2, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5614, -22646, -51050, -90832, -141998?\n\"Answer: -o**3 - 5680*o**2 + 15*o + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224 + -898. Let y = d - -782. Let h(m) = -m**3 + 4*m**2 - 3*m + 4. Calculate the smallest common multiple of h(3) and y.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52951*v - 52599*v - 16896 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3\/5 (c) 187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 3*w**2 - 2*w - 3. Suppose k - 5*v = 5 + 7, 0 = -2*k - 5*v - 21. Let j be b(k). Let c = -5 - j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 1, u: 1}. Give prob of picking 1 j and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8*q = 25. Suppose 64 = 3*c + 2*n, -q*c + 8*n - 3*n = -90. Suppose 2*w + 21 = w + 5*p, 4*p - c = 4*w. Let v(j) = 4*j**2 - 1. Determine v(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + 2 + -20 + 0 - -3?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u**3 - u**2 + 4*u - 7. Let h be p(2). Is 24 a factor of 5\/(h\/(-42))*120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*g)*(-183*g + 183*g + 10*g**2) - 5*g**3 + 18*g**2 + 4*g**3 - 8*g**2 - 2*g**3 - 4*g**3 + 21*g**3 as l*g**3 + o*g**2 + f + n*g and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 455764*a. Let w(c) = 4*c**2. Give w(g(x)).\nAnswer: 830883294784*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(15) - (sqrt(2160) + sqrt(2160)*2)) + sqrt(135)\/sqrt(81))*-2)\/(5*-1*sqrt(27) + sqrt(27) - 2*(sqrt(27) - (sqrt(54)\/sqrt(2) - sqrt(27)))))**2.\nAnswer: 54080\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 5. Let y = 2 + 0. Let w(a) = 1. Let s(v) = -1. Let l(b) = y*w(b) + s(b). Calculate 2*k(p) - 10*l(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 952323.5037 rounded to the nearest 100?\nAnswer: 952300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1.002. Let j = 0.958 - p. What is j rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5221\/4?\nAnswer: 5221\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 902 and 27372994?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1377, 2752, 4127, 5502?\n\"Answer: 1375*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 21*j - 51 = 0. Suppose -18*y + j*y = -6. Let q = -5 - -8. Solve y*l = q*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -50. Let w be 5*(26\/5 + 12\/r). Solve -2*z + 6 = -4*v, v - 2*v + 5*z = w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -38, 118, 2 in decreasing order.\nAnswer: 118, 2, -38, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (8 - (-17 + 44))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269586962.\nAnswer: 2, 67, 2011843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 - 2472*q - 311373. Calculate w(-111).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r - 9*r = -11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6992216603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -101 + 103 + (2 - 3)*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 + 440422?\nAnswer: 440520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10472273 is divided by 10472265?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*z - 31*z + 7110 + 4263 = 106*z for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52176 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -257\/510 + 31\/102. What is the fourth smallest value in m, -0.3, -0.1, 4, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45879 >= -45911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*d - 21 - 1, -3 = d. Let g be -2*(-3)\/(6\/5). Sort f, -2, g in increasing order.\nAnswer: -2, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18305429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**3 - 3*q**2 - q + 2. Let v = 218 - 215. Let d(h) = -6 + 10*h**2 + 4*h - 110*h**v - 1 + 56*h**3 + 41*h**3. What is -2*d(x) - 7*s(x)?\nAnswer: -2*x**3 + x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-21)\/(-54)*6*3).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 + 2*l**2 + 6*l**2 + 1 + 6*l - 3*l. Let p(i) = 4*i**2 + 3*i. Let g(d) = 2*p(d) - 3*u(d). Let t = -30 + 28. Give g(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (25 - (85 - 23)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times 0.01?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*o = 20, 3*o - 4 - 4 = 2*y. Let z be (4\/(-5))\/((-6)\/(-15)). Let g be z\/(-3) + 12\/(-18). Put g, y, -2 in descending order.\nAnswer: g, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2187) + 1 - sqrt(2187)) + 3 - (-4 + -2*sqrt(2187) - sqrt(2187)))**2 + -1.\nAnswer: 1296*sqrt(3) + 19746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raak when four letters picked without replacement from {k: 4, a: 3, r: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -34*z - 4. Let m be f(-5). Suppose m = 5*q + 36. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6\/(s\/s**(-1\/6))*((s*s\/(s\/s**(-2\/13)*s))\/s)\/s**6*((s*s**(1\/2))**(12\/13))**41 assuming s is positive.\nAnswer: s**(4247\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 13. Suppose 0 = -s + 11 + w. Let m = s - -1. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 253*k + 59455. Calculate t(-235).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3512*n**3 - n**2*o - 3*n*o + 7*n - 425370*o wrt n?\nAnswer: 10536*n**2 - 2*n*o - 3*o + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1339*v + 127*v + 667*v to the form q + x*v and give x.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9132697.\nAnswer: 7, 127, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34797604 is divided by 10740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 67711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -332220312030 (base 4) in base 15?\nAnswer: -16953c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/60 + 11*u**4\/24 - 4*u**3\/3 + u**2. Let k be h(7). Suppose 4*w + c = -w + 76, -c = -w + k. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 18 = -3*v, -7 = -3*v + 405*k - 407*k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 756 or 759?\nAnswer: 756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238928*m**6*w + 3*m**6 - 66*m**2 + m*w + 683 wrt m?\nAnswer: 28671360*m**3*w + 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7110*v - 174 + 6*v**2 + 7110*v to the form k*v + u*v**2 + m and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3*t - 6. Solve p - 1 = -v, -23 = t*v - 0*p - 3*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -10*y. Let i(w) be the third derivative of -11*w**4\/24 - 153*w**2 - 2*w. Determine i(m(b)).\nAnswer: 110*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(250) - sqrt(250)*1)*6)\/((sqrt(405) + sqrt(405)*4 + sqrt(405) + sqrt(405) + sqrt(405) + sqrt(45) + sqrt(45))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 11*o**2 - o - 8. Let p be c(-11). Suppose 4*a = 2*a + 2. Solve -n + a = p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5 - 2 + 2334*j**2 - 2381*j**2 - 1 + 1 - 2*j**2 + (-2*j - 2*j + j)*(2*j + 3 - 3) in the form u*j + t + k*j**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -12 - 18. Let u(c) = c + 6. Let i = 38 - 40. What is the remainder when w is divided by u(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 738 = -6*z - 722, y - 1 = -3*z for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39430 is divided by 18503?\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23877\/36*(8 + 0) + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, d: 13}. Give prob of picking 2 h and 1 d.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2 and 163\/424470.\nAnswer: 424470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*d - 2 - 10*d + d**2)*(14 + 8 - 3) in the form f + v*d + n*d**2 and give f.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0641801 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*h - 6*z + 5*z = 154*h + 5, 42 = -7*h - 4*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1356*i = 511*i + 1674 + 5086 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 - -146. Let u = m - 27. Let r = 42 - u. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, i: 9, v: 2, k: 1}. What is prob of sequence vkvj?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 165 = s, y - s - 57 = 4*s. Suppose -4*v - 4*h + y = 0, -4*v = -h - 12 - 0. Solve 3*i + 5 = 5*r - 17, 0 = -v*i - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3215670 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -769*k + 110 = -758*k. Let b(y) = y - 2. Suppose 2*m + v - 9 = 0, -m - 12 + 4 = 3*v. Let i be b(m). Solve t + 6*s - k = 4*s, -i*s + 25 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s = 270 - 592 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-408)\/(-108) + 6\/27. Suppose 0 = -3*f + d*f - 3. Find the third derivative of -6*z**f + 215 - 8*z**2 - 215 wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2608498?\nAnswer: 2\/1304249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 8*p**2 + 26*p + 12. Determine r(-10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i - 2088. Let f = 20941\/10 - i. Let d = 6557\/4 + -1650. Find the common denominator of d and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 4, -5\/2, 0.664, -0.29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*j**3*k**2*v + 2249649*j**3*k*v + 986682*j**2*k**2*v + 2*j**2 + 16*j*k**2*v + 6*k**2*v - 2*k wrt j.\nAnswer: 180*k**2*v + 13497894*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -364*y**2 - 487*y?\nAnswer: -728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*w + 13766 - 1115 = -4998 for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**4\/4 - i**2\/2 + 1. Let k(q) = 9*q**3 + 12*q + 9. Let j(t) = k(t) + 12*n(t). Find the first derivative of j(y) wrt y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2501 = -15*t + 2329. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 + -142. Which is the closest to k? (a) -0.5 (b) 5 (c) -4\/7 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 20 - -10) + (-81 + 5 - 6) + -8?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, g: 4}. What is prob of picking 2 g and 1 s?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.05 - -0.05. Let n = 2 + t. Let z = 0.386 - -0.114. Which is the third smallest value? (a) n (b) z (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 628*h**2 + 303*h - 303*h to f*h + g + j*h**2 and give j.\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 3 + -2 + 19 - -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2709590178 to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -64563*y - 4261163. Determine k(-66).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72403?\nAnswer: 17, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 53*i**2 + 416*i - 48. What are the prime factors of r(-37)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -437.2 - -7.2. Let g = -430.0246 - b. Round g to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 654.1003 millennia to decades.\nAnswer: 65410.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 - 298865 + 298865.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 728 - 812. Let x = -80 - d. Solve -o = n - 0 + 5, x*o - 5*n = -20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r)\/r)**(-4)*(r\/r**(-1)*r*r*r)**11*(r**(4\/9)*r**(1\/24))**(-1\/2) assuming r is positive.\nAnswer: r**(9037\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 884395*b**4 - 1032*b**5 - 884395*b**4 - 14*b - 6*b - 28*b**2 + 89*b**5 wrt b?\nAnswer: -56580*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -8*y + 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5 + 23720*r**4 + 1288332*r**3 + 25169616*r**2 + 209287152*r + 628176384 = 0.\nAnswer: -18, -9, 5984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 68 = 4*y, -27*r + 18 = -28*r - y. Let i be r\/(-9390)*(-12)\/(-1). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 - -198. Let d = z - 88. Solve -d*i = -3*y - 15, -3*y - i = i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 9*q**6\/40 - 17*q**4\/24 + 42*q**2. What is the second derivative of k(i) wrt i?\nAnswer: 162*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 50642499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.871799 millilitres to litres.\nAnswer: 0.006871799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3861167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 850249*p*w**3 + 92*p*w - 6420*w wrt w?\nAnswer: 5101494*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + (2 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 15*n - 7776. Determine j(96).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 5*v - 3. Let s(y) = y**2 - y + 1. Let b(q) = -d(q) - 3*s(q). Let x be b(6). Let l = 2 + x. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkzk when four letters picked without replacement from {z: 7, k: 5}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g**3 - 5. Let r(j) = j**3 - 4*j**2 + 3*j - 2. Let k be r(3). Let v be z(k). Let h = -67 - v. Calculate the remainder when 8 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - f**2 + 2*f + 35. Let z be o(0). Let b = 65 - z. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404 (base 16) to base 7.\nAnswer: -2666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 1\/4*b**3 + 1 - b**2 - 1\/4*b = 0?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -8*k**3\/33 - 5*k**2\/11 + 12*k\/11 - 124. Factor q(t).\nAnswer: -2*(t + 2)*(4*t - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46729675*v + 0 + 46729652*v + 0.\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 3. Let x be 4*(-1)\/(d - -3). Let k(y) = -y**2 - 3*y + 7. Let w be k(-5). Is x equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-12))\/((2\/(-408))\/((-25)\/100))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/414 and 39\/22.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (161\/14 - 4)\/((-1)\/(-2)). What is the greatest common divisor of 45 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 305250 and 293040.\nAnswer: 7326000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 122, 3\/2, 0.9, 0.3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yff when three letters picked without replacement from fyffftfff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45194 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 10*m**2 - 159*m + 1716. What is q(12)?\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 6*w**3 - 2*w**3 + 3*w**2 - 11*w**3.\nAnswer: -18*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, 0.4, -30, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 32, 38, 58, 98, 164, 262, 398?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -16*h - 18*h + 9*h + 3*h. Let o(m) = 2*m**2. Give p(o(d)).\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -4. Suppose -4*k + 0 = v*f - 3, -3*f + 5*k + 3 = 0. Suppose f - 1 = 6*b. Solve 5*w + 1 + 9 = b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 8\/417 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*n - 10*n**3 - 8*n)*(4*n + n + n) - 13*n + 2*n**4 + 13*n - 3*n**3 as j + q*n**3 + z*n**2 + f*n + x*n**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*q**3 - 40*q**3 - 10*q**2 + q + 66*q**2 + 18*q**3 + 2*q**4 to the form h*q + i + t*q**3 + f*q**4 + j*q**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - t, -3*h - 3 = 5*t - 1. Sort 3, -3, 4, h in increasing order.\nAnswer: -3, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24039 and -11.6766842.\nAnswer: -24050.6766842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 1 + (-26 - -22 - -29) + -34?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**4\/3 - d**3\/3 - 3*d - 5. Let m(c) be the first derivative of l(c). Find the second derivative of m(u) wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r + 5*r - r. Let j(g) = 0*g + 2*g**2 + 0*g. Give d(j(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224110?\nAnswer: 2, 5, 73, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 18. Let v(l) = l - 45. Let q(p) = 2*v(p) + 5*z(p). Suppose 4*f - 8 = r + 4, 15 = 3*f. Let b(h) = h**2 + h**2 - r*h**2 - h**2. Calculate b(q(y)).\nAnswer: -63*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/19 (b) 3 (c) 0.2 (d) -19 (e) -32475\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 18*m**2 - m + 14. Let l be x(9). Solve -b - g - 2 = -2*g, -l*b - 2*g + 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/12784*(5 - 103) + 3\/4.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9357 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5983 * 0.031572.\nAnswer: -0.0504615276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n. Calculate d(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pix when three letters picked without replacement from xxpxxxxirrip.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120 + 119. Which is the fourth biggest value? (a) 0.5 (b) u (c) 0 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156224448 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29040 = 128*y - 113*y. Is 35 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfwfafrfaufwaf. Give prob of picking 3 a and 1 f.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1575\/16 - -40279\/400. Let v = -9933 + 138947\/14. What is the common denominator of s and v?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1 - 5*d - 4*d**2 - d**3 - d**3 + d**3. Let y = -3\/119 - 2966\/357. Calculate the common denominator of u(-4) and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 29, -40 in decreasing order.\nAnswer: 29, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 579 - (2 + (-5 - 0)). Suppose -j = r + 4*r - 946, 3*r - 3*j - q = 0. Suppose -r = -0*o - 5*o. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 863.\nAnswer: 9\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1112201?\nAnswer: -1112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*g + 9. Suppose 0 = 4*x - 3*s - g, s + 3 = -x + 11. Suppose -u + 2*j - 7*j = -96, 2*u + x*j - 202 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7406 = -2*c + 428. Suppose c - 1135 = 2*t + 4*q, 0 = 4*t + 5*q - 5549. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -91?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w**2 - w**3 - 8*w**2)*(-1 + 4 - 2).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r + 1. Let x(l) be the first derivative of 6 - 27 - 1 + l**2. Calculate z(x(o)).\nAnswer: 8*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3\/5 - 994*g**2\/5 + 16288*g\/5 - 65664\/5 = 0.\nAnswer: -513, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 3:52 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-10))\/(4\/20). Let b(s) = -3 - 12*s - w*s + 0*s - 6*s. Let v be b(-4). Calculate the greatest common factor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11693 + 420997\/36. Let u = -14547\/8 + 1812. Calculate the common denominator of a and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 7 + 2. Suppose -5*z + 3*t = -0*z + 534997, -z = q*t + 107005. Round z to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 60 = 4*d. Let y = -3 + 3. Suppose 2*b + 2*z - d = y, -b - 5*z + 2 - 8 = 0. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 j when four letters picked without replacement from {j: 3, c: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336450 is divided by 148493.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - p - 13 = 10, u = 4*p + 17. Solve -3*x = -x + 2*y - 6, 0 = x + 3*y - u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4599 and 1339623?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3834.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -2, 41, -2\/19, -6, -8, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-60)\/48 - (-2)\/(-6) and 145\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*o + 39*o + 42*o)*(-3*o + 0*o + 2*o).\nAnswer: -107*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5964\/7952*69\/18*4?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -16. Let d = n + -4. Factor 4*k**d + k**3 - k**5 + 0*k**4 - 2*k**3 - 2*k**5.\nAnswer: -k**3*(k - 1)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/2 - 969*p**2\/2 + 234255*p\/2 + 235225\/2 = 0. What is p?\nAnswer: -1, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -339769, -679538, -1019307?\n\"Answer: -339769*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133104 (base 5) to base 9.\nAnswer: 31755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 50*n + 325. Calculate m(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**3 + 2*o**3 - o**3)*(10278*o - 4601*o - 5047*o) to y*o**2 + u*o**4 + k*o + n*o**3 + m and give u.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-68)\/(-12) + -3 + 6\/(-9). Factor -10\/3*f - 14\/3*f**t + 4\/3.\nAnswer: -2*(f + 1)*(7*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*((-33)\/(-6) - 2). Let x be 4\/6*(-3)\/(-1). Let t be b\/45 + x\/(-3). What is the biggest value in -1\/8, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (2 - 30\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 596405.3 litres?\nAnswer: 596405300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y*y)\/y**6)**(-6)\/((y**(-2)\/y**(-2\/9))\/((y\/(y\/(y*y*y**(-2)\/y*y)))\/(y\/y**2))) assuming y is positive.\nAnswer: y**(349\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**4\/4 - 875*v**3\/2 - 54195*v**2\/4 - 75205*v\/2 - 24490 = 0.\nAnswer: -316, -31, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7) + (-1875 - -1833)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 475a (base 15) to base 9\nAnswer: 22714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125373 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k**2 + 366*k - 366*k)*(-4*k**3 + 6*k - 6*k) + 3*k**3 - k**3 - 2*k**2 - 2*k**5 + 0*k**3.\nAnswer: 26*k**5 + 2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283639498 by 184421.\nAnswer: -1538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 plus 0.0101128?\nAnswer: 45.0101128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 595 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 4. Let c(x) = -x**3 + 9*x**2 - 2*x - 2. Let g(k) = -k**3 + 11*k**2 - 2*k - 2. Let f(w) = -3*c(w) + 2*g(w). Calculate f(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -999563 + 944355 = 824*i for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.991 - 0.009. Sort -3, 3, i, 4 in descending order.\nAnswer: 4, 3, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4538538 is divided by 2269257.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -49 and -36.853.\nAnswer: -85.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 13112322?\nAnswer: 13113002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14012, 56306, 126910, 225830, 353072, 508642?\n\"Answer: l**3 + 14149*l**2 - 160*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53158004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -k - 2*h + 2, 15 = 4*k + 3*h. Let s = 7 - k. Solve 2*b - 6*b + 2*l - s = 0, -b + 4*l - 15 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(288))*2)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - v**2)*(-3*v + 4*v + 0*v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 19*d**2 + 6. Let l be t(-19). What is the remainder when 29 is divided by l\/27 - ((-426)\/27 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.035? (a) 4 (b) -2\/17 (c) -1\/13 (d) -1 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 117*v + 1213. Let s be q(45). Do -330 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 300 = 12*k. What is the remainder when 24 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1029 divided by -3.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5714525.\nAnswer: 5, 228581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1855142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2728 = -2*d + 5*s, 0 = -3*d + 3*s + 3957 + 153. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 + 23*s + 9. Calculate l(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -58, -109, -184, -283, -406?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 118 = -3*r, -t + 5*r = -14 - 4. Suppose 5*w - 1010 = -5*v, -4*v = -w - 219 - 614. Calculate the highest common factor of t and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7707*p**4 + 90*p**2 - 900319*p wrt p?\nAnswer: 92484*p**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5139 divided by -8.\nAnswer: -5139\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 1)*(-1 + -36). Let g be (1 + 1)*(1 + 77). Let i = g + c. What is the highest common factor of i and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -9\/1355897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b - 14 = 0. Let i be 16\/(-3) + b\/21. Is i bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 8*v + 6. Suppose -4*d - 1 + 89 = -4*h, -5*h = -v*d + 32. Let g = -11 + d. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 24659*x**2. Let n(w) = -12*w. What is z(n(s))?\nAnswer: 3550896*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -35 - (-70 - -54 - (-5 - 15))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11145, 11161, 11179, 11199?\nAnswer: 11221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -19467934+-5118\nAnswer: -19473052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 5*n - 16 + 83, -d + 12*d + 142 = 5*d - 10*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240001404 - -221?\nAnswer: 240002130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -40\/74511843 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -746*u + 56*u - 62520 + 14220 for u.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - 230*((-5076)\/(-300) + -17).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.1. Suppose 0*q = 5*z - q + 150, -2*q = -3*z - 90. Let y be -4*((-21)\/z)\/7. Which is bigger: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -255*d + 27*d + 912. Solve d*b + 189 = 31*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 5. Let f(d) = 11971*d**2. Determine z(f(m)).\nAnswer: 286609682*m**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 106.\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 98*s - 124. Let w(y) be the second derivative of 0*y**3 + 0 - 14*y + 0*y**4 + 1\/90*y**6 + 0*y**s + 1\/60*y**5. Factor w(i).\nAnswer: i**3*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203656 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/3 - 170*i\/3 - 56 = 0.\nAnswer: -84, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -125561 - g - 34*g**3 - 223*g**3 - 149*g**3 + 125558 + 2*g**2 to h + k*g**2 + m*g**3 + o*g and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -613 and 4.769.\nAnswer: -2923.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4 and 87\/252512.\nAnswer: 252512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12988*j - 681*j + 3370*j to the form c*j + z and give c.\nAnswer: -10299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 175579*o**3 + 410770.\nAnswer: 526737*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(140\/160)\/7*-190*(-2)\/(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 2291 - 1625 = 0. Calculate the remainder when v is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 4, h: 9, s: 2}. What is prob of sequence sls?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13968900 divided by -102.\nAnswer: 136950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -29*p**3 - 3*p**2 - 3*p - 1. Let z be g(4). Suppose 3*q - q + 5654 = 0. Let c = z - q. Round c to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxjvxvjx. What is prob of sequence vv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28133381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.08 (b) 58303525 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 5:20 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*v + 8*v - 12*v + (3*v - 4*v + 2*v)*(7 + 0 - 5).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 9)\/((-18)\/(-12708)). Let l = r - 4127. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 13021, 5 in increasing order.\nAnswer: 5, 23, 13021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 0*l = 91 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from {e: 1, o: 1, b: 1, r: 1, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.17 from -24872.\nAnswer: -24871.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**2\/5 + 7677*n\/5 + 3837\/5.\nAnswer: 3*(n + 1279)*(2*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*u**2*z - 45675*u**2 + 5*u*z - 1456*z wrt z.\nAnswer: 3*u**2 + 5*u - 1456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 3, 2\/103, 2\/3, 1\/6?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxxmmmmsxxxsm. Give prob of sequence mxxs.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/10 + 468\/90. Solve -h = -x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2432 and 132545216?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gegegggggggg?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**4\/8 - 13*m**3\/6 + 4*m**2. Does 2 divide b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1838 - -1864.97. Round o to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -106 - 97 + 203. Solve g = -94*f + 92*f + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002624015 rounded to five dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2621854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 1288, 2698, 4620, 7054, 10000, 13458?\nAnswer: 17428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-35)*(-90)\/(-24)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 34*j + 160. Let q be o(-29). Solve -115 = -q*g - 8*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 4*l**2. Suppose -21*v - 46 = -4. Suppose 4 - 14 = -2*j. Let s(i) = -6*i**3 + 6*i**2 + 6*i**2 + j*i**2 + 4*i**2. Calculate v*s(g) + 11*z(g).\nAnswer: g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 12*w**2 - w - 75. Let f(d) = -d**3 - 11*d**2 - d - 76. Let a(k) = -6*f(k) + 5*q(k). What is the remainder when a(0) is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 3 - 3 + (3 + 0 - 5)*(-2*q + 5*q - q) as b*q + t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 1)*(13 - 5 - 2). Calculate the remainder when 34 is divided by 12\/(-4)*(-10)\/t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o + 6*o + 7*o - 17*o + 21.\nAnswer: 4*o + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 2859.\nAnswer: -4\/2859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 113*o - 3 - 4 = -116*o, 7*o + 5 = -2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1683*k + 116 + 1662*k + 92 + 2*k**2.\nAnswer: 2*k**2 - 21*k + 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-12 - (0 - 3)). Let f(c) = m - 2*c + 0*c + 0*c + 5. Let b be f(0). What is the highest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 3:17 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -255385773.3 rounded to the nearest one million?\nAnswer: -255000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.2, -125, -0.2, 1 in descending order.\nAnswer: 1, 0.2, 1\/6, -0.2, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4141 + 10223?\nAnswer: 2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2948.106nm in micrometers?\nAnswer: 2.948106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6161990 divided by 2?\nAnswer: 3080995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 11, -504247.\nAnswer: -504247, -9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 29 = 5*p, y + 0*p - 5 = p. Suppose -5*f - 2 = -y*f. What is the tens digit of f\/(-6)*(2 + -44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2776 - 3038.4. Let g = f + 262. What is the biggest value in g, -2, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3216 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6*z - 12. Suppose z*y = 3*y. Solve -h - i - 1 = 0, -i = 3*h - y*i + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.4793957 to one decimal place.\nAnswer: -63.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 12:41 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 62253 + 62259 - 124509 - 5*d. Let x(w) be the first derivative of -w**2 + 2*w + 3 + w - w**2. Calculate 2*h(n) - 3*x(n).\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 84\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r - 116 = -12*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4*(t**6*t)\/t*t*t**15\/t**(4\/7) assuming t is positive.\nAnswer: t**(178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -18. Suppose 0*j + u = 2*j. Suppose j + 40 = 2*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**7\/140 - v**6\/120 - v**5\/40 + v**4\/24 + 154*v**2. Factor p(c).\nAnswer: c*(c - 1)*(c + 1)*(3*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/((-2)\/((-6)\/9)))\/(28999\/423). What is the second smallest value in -1, h, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.4 + -0.4. Let v = 3.975 - s. Let a = v + 0. What is a rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 + 97 = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -3, 0 in decreasing order.\nAnswer: 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence poo when three letters picked without replacement from jpojlpjjjvjojpppjj?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 230568*y**2 + 3322600164*y.\nAnswer: 4*y*(y - 28821)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51396, 102794, 154192, 205590, 256988?\nAnswer: 308386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 1:01 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*o - 11, -4*b + 4 - 16 = -4*o. Let v = o - -7. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 478 divide 72550355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 3) + 2 + 0 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -554950 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -339 - -1015\/3. Let h(r) be the third derivative of r**4\/24 - r**3\/2 + 2*r**2. Let d be h(0). Which is bigger: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 3:28 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 100333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-5))\/((-140)\/(-75)) - 2 and -83\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -901, -2130, -3851?\nAnswer: -6064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 2*m**3 + m**3 + (-3*m**2 - 2*m**2 + 3*m**2)*(-1 + 2*m + 1) + 9*m**3 - 3*m**3 - 2*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -172. Factor 3*c**5 + 15*c**2 - 3*c**4 + b*c + 117*c - 9*c**3 - 242*c.\nAnswer: 3*c*(c - 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Suppose 4*z + 11 = v, 0*v - 44 = -x*v - 5*z. Let h = 21 - v. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**2 - 9*a - 6. Let q be t(7). Suppose -5*z = 3*z - 464. Let r = q - z. List the prime factors of r.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659908 + 2271069 + 832583 = 6*p. Round p to the nearest 1000.\nAnswer: 627000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + -1 + sqrt(108)) - (sqrt(108) + 0 + -4 + (sqrt(108) + 0 + sqrt(108) + sqrt(108))*-6))**2.\nAnswer: -6864*sqrt(3) + 52948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -245570, -245478, -245328, -245120, -244854, -244530, -244148?\n\"Answer: 29*k**2 + 5*k - 245604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-5)*(1 - (-27)\/18). Suppose 4*x + k*n - 885 = 707, 0 = 4*n + 16. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45165 by -15055.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*g - 3*l + 19, 25 = -5*g + l. Suppose j - 17 = -4*r, 3*r = -2*j - 0*j + 19. Suppose -12*o + r = -9*o. Put 2, 0, g, o in increasing order.\nAnswer: g, 0, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9492832.\nAnswer: 2, 296651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32458c (base 13) to base 3.\nAnswer: 2012222200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = n. Suppose 0 = -y + 2, 2*h + h + 5*y = 22. Calculate the least common multiple of n and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4 + 4 = 4*a, 0 = -5*a - 4*j + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2cdb91 + 95?\nAnswer: 2cdc46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10)*(-1744)\/(-44472).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - l - 8, 2*l + 4 = -2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3523131.86?\nAnswer: -3523128.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*n + 196*n = 3480. What is the smallest common multiple of 290 and n?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*h = 7, -9 = -5*q - 2*h - 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.11 + 8.11. What is the nearest to 1 in -0.4, -1\/2, p, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2. Let k(m) = 2757420*m. What is k(t(a))?\nAnswer: -8272260*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/(-14))\/(2\/(-4)). Let p(u) = 2*u**2 - 2*u - 1. Let z be p(x). Is 3 != z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 + -118. Let z be 2\/(3*(o - 122\/126)). Which is bigger: z or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. Suppose 3*q - 74 = -2*a, -2*q + 37 + 23 = -4*a. Calculate the smallest common multiple of q and s.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/234878 and -13\/38?\nAnswer: 234878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(200) + -1) - (1 + -2 + sqrt(200)) - (4 + (sqrt(200) - (-5*1*sqrt(200) + sqrt(200)))))**2 + -1)*2.\nAnswer: 32398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 2*a - 2*a + (2*a**3 + 3 - 3)*(-3 - 1 + 3) + (-2*a + 2*a - a)*(-6*a - 2 + 2)*(0 - 2*a + 0).\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 104925047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j = 21*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2981, 11950, 26899, 47828, 74737, 107626?\n\"Answer: 2990*k**2 - k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*a + a - 20, 0 = 2*a - 2*f - 10. Suppose -q = 5*x - 12, 2*q + 1 + a = 5*x. Solve -1 - 9 = -q*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 81 - 3\/(-3 + 4). Suppose b - z = -2*b. Let j = b + -8. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 0*x - 3*x + (0 - 1 - 1)*(6 - 6 + 5*x) - 13*x + 14*x + 567 + 65 in the form m*x + g and give g.\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/8823 and 61\/216942?\nAnswer: 3688014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 27*f + 4983*f**2 + 6 - 3 - 24*f. Let v be x(-1). Let y = v + 1217. Round y to the nearest one hundred.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -27057*d - 4004442. What is o(-148)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31724040 to the power of 1\/2, to the nearest integer?\nAnswer: 5632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 1:19 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -447*m**2. Let h(j) = 29*j - 4. Calculate h(l(v)).\nAnswer: -12963*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -860*l - 2*l**2 + 1741*l + l**2 in the form s + b*l**2 + f*l and give f.\nAnswer: 881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - s - 1, -3*z + 2*s = -2. Suppose -24 = -4*t - z. Solve -t*y = -y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153\/(-3)*61264\/(-84)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1338915842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h**3 - 2*h**2 - 3. Suppose 35 = z + 34, 5*q = -2*z - 23. Let j(m) = -5*m**3 + m**2 + 1. What is q*j(t) - 2*w(t)?\nAnswer: 5*t**3 - t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 14*i**2 + 9*i - 14. Let g be r(-10). Suppose -9*v = g - 1250. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (12 - 8) + 1 + (56 - 12).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2376 - -2538. What is the remainder when 510 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 26. Let s be t(0). Let h be (2\/(-3))\/(s\/(-6)). What is the smallest value in h, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 7*h + 63. Suppose 5*p = -2*p + h. Let s be (-8)\/(-2)*p\/6. Calculate the greatest common factor of s and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 9*x**2 + x - 2. Determine w(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -0.1, -0.5, -5\/2, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 28*z. Let u(b) = -11342*b. What is a(u(y))?\nAnswer: 128640964*y**2 + 317576*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {x: 1, n: 1, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1853077?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2 + 4364*m + 4366 = 0. What is m?\nAnswer: -1, 2183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 4 (c) -0.041 (d) 1027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 56564628 divided by 9427438\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2384 and -16.8705014.\nAnswer: 2367.1294986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 410 - -139. Let l(y) = -y**3 + y - f*y**2 + 549*y**2. Let t(c) = 2*c. What is -2*l(n) + t(n)?\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -16. Let u(b) be the second derivative of -b**3\/3 - 5*b + 1. Let m(v) = 9*v - 1. Let s(c) = o*u(c) + 2*m(c). Calculate s(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -3*f**2 - 7*f - 6. Let u(j) = -1. Let m(a) = s(a) - 4*u(a). What is the units digit of m(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 24*k - 7. Let h(c) = -23*c - 3. What is 2*d(m) + 3*h(m)?\nAnswer: -21*m - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 2*v = 11*i + 2, -1 = 3*i - v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/19, -2\/5, -2?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 at most as big as 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3))**(-11\/6)*(l*l\/l**(-2\/29))\/l**3 assuming l is positive.\nAnswer: l**(-805\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/4)*m*m**4*(m**0)**25 assuming m is positive.\nAnswer: m**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 17*n - 106. Determine g(21).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**(-4\/7))))**(-2\/21) assuming v is positive.\nAnswer: v**(-22\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/60782 and -15\/22.\nAnswer: 668602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 + 49*d**2 + 14*d - 112. What is the remainder when 256 is divided by z(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 2:32 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 38c (base 13) to base 4\nAnswer: 21233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:47 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/((f*(f**(2\/31)*f*f)\/f)\/f))\/f)*f*f**(-1\/13)*f*f**(-5)*f**(-1\/9))**(-1\/8) assuming f is positive.\nAnswer: f**(4075\/29016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99) + -5 + 5*sqrt(99)*-2)**2 + (-3*2*sqrt(110))\/(-3*sqrt(10)*-1) + 1.\nAnswer: 328*sqrt(11) + 12005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 88836507?\nAnswer: -88836494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 3*v = -0*v. Let s(p) = p. Let k be s(3). Solve -4*b - 2*x = -v + 8, -5*x = -k*b + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2774, 5523, 8270, 11015?\n\"Answer: -z**2 + 2752*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = -0. Let a(p) = 0*p**2 + p**2 - t*p**2 - 3*p**2. Let l(y) = y. Give a(l(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 32090449?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 + 21*x**2 + 13*x - 10. Let u be j(11). Solve 4*g + 4*f - u = 0, 4*f - 2 = -14*g + 12*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-884)\/(-1105) - -39*(-2)\/10 - 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 4) + 2 + 1. Suppose 36 = -2*q - x*n - 284, -3*q - 470 = 5*n. Let p = q + 1483\/9. Which is the third biggest value? (a) p (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 75.9924. Round l to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f + s + s, f + 4*s - 2 = 0. Solve -f*o + 3*o = -4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**(-2)))\/(r*r\/(r**(-3)\/r)*r*r))**(-28))**(-2\/101) assuming r is positive.\nAnswer: r**(-336\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a minute in seconds?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2. Let n(z) be the third derivative of -z**4\/24 - z**3\/3 + 2*z**2. Let u(c) = 2*n(c) - 2*w(c). Let l(a) = a. Calculate l(u(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23201 (base 10) to base 13\nAnswer: -a739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3432 divided by -497310\nAnswer: -52\/7535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -561 + 568. Calculate the remainder when 103 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195.4105 - -184.82. Let h = v - -10.6. What is h rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 22. Differentiate 5 - r**n - 16*r**2 + 12 wrt r.\nAnswer: -34*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0759 plus -11604?\nAnswer: -11601.9241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 - 69. Solve c*i = 5*i + 4*x - 10, 3*x = 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.3, -3\/5 in decreasing order.\nAnswer: 2\/9, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*g - z + 1, 0 = -5*g + 2*z + 5. Let a(i) be the first derivative of -1\/3*i**3 + 0*i - 1\/2*i**2 + g. Let a(t) = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 5*c**2 - 2*c - 7. Let t(h) = -h**2 + 9*h - 1. Let n be t(8). Let l be j(n). Is 4\/(-14) + 2409\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58014 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52096, -208453, -469048, -833881?\n\"Answer: -52119*o**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 78*y**2 + 365*y + 2. Give c(-5).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08669678 to 4 decimal places.\nAnswer: -0.0867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1025*h + 1015*h + 520 = 0. Calculate the greatest common divisor of 351 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33482 = 453*k + 1401*k - 2845 - 71205 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/4*472\/1416.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 + 3*s - 3*s)*(1 - 3 + 1)*(6*s - 3*s - s)*(0 + 5 - 3) as d + q*s**3 + y*s + g*s**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 83*o + 83*o - 4*o**2 + (2*o - 2*o - 2*o)*(-1 + 1 - 3*o).\nAnswer: 2*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -769447325*v**5 - v**2 - 74878986*v.\nAnswer: -46166839500*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -s + 2*z, 474 = 6*s + 4*z + 654 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -505.7?\nAnswer: -25.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:44 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139534 divided by 569767?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 1. Suppose 0 = -3*y - 6 - 0. Let s be u(y). Suppose -1 = o - 3. Put s, o, -4 in decreasing order.\nAnswer: s, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2 - 228*h + 720. Let b be n(3). Suppose 0 = -3*u + 11 + 7. What is the nearest to 0.3 in u, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2406, -4176, -6044, -8058, -10266, -12716, -15456, -18534?\nAnswer: -21998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*36\/(-15)*-1. Suppose u = 2*h - h. Let a(c) = c**3 - 13*c**2 + 15*c + 10. What is the remainder when a(h) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 274032, 547710, 821388, 1095066, 1368744?\n\"Answer: 273678*y + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1671 - i**4 + 1680 - 2*i**4)*(-2*i + i - 2*i).\nAnswer: 9*i**5 - 27*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 294205 or 294206?\nAnswer: 294206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10969 and 255421?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/21 and (-4386)\/1260 - 2\/5.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/((-27)\/5) - (-1 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x - 2. Let a(b) = -21*b - 142. What is -a(f) + 10*w(f)?\nAnswer: -9*f + 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-343)\/(-14) + (-2)\/4. Suppose -3*k = -k - 254. Let h = k + -91. Calculate the greatest common divisor of d and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97247 is divided by 5086?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -58.047. Let o = p - 0.047000049. Round o to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -40.00192. Round g to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -93*v**5\/10 - v**2 + 724*v. Let b(y) = -y**2. Give b(j(g)).\nAnswer: -311364*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 8:12 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.86027 millilitres to litres.\nAnswer: 0.02886027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -4*h - 63, 865*r - 860*r + 4*h = -55 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 72028 (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 9*k**2 - 3*k - 13. List the prime factors of s(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.88 + 0.12. Let y = -8 + f. What is the closest to y in 0.2, 4, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4122 (base 5) to base 4.\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-170)\/(-2465))\/(198\/638)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 559 + -560. What is the second biggest value in b, 4, -9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + h. Let s be z(-1). Let v be -2*(2 + (-21)\/6). Let r(n) = -v*n + 4*n + 12 + n**2 - 2. What is r(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.79 times -3\nAnswer: 26.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20527294 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67020 divided by 4?\nAnswer: 16755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**4\/2 + 72*g**3 - 1143*g**2 + 6396*g - 10647\/2 = 0.\nAnswer: 1, 13, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 17*p**2 - 48*p - 169. Give m(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2322894326.\nAnswer: 2, 431, 1459, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1252884*a + 5 - 5 - 2505704*a + 1252875*a.\nAnswer: 55*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 639\/81 + (-217)\/279.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 206255772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssse when four letters picked without replacement from {e: 4, s: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 83, 80, 77, 74, 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 780436207?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 22*f - 16. Let d be b(7). Suppose 0 = -22*w + 28*w - d. Let t(u) = 11*u + 11*u - w*u. Let m(k) = 2*k + 22. What is m(t(r))?\nAnswer: -2*r + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/9 - 2*z**2 - 16*z\/3 - 40\/9.\nAnswer: -2*(z + 2)**2*(z + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5*p + 729876 - 729847 = 0, -p - 5 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*o - 8 = 0, -5*k + 0*k = -3*o - 6. Let g(s) be the third derivative of 1\/24*s**4 + s**2 + 0 + 0*s + k*s**3. Let m(d) = 16*d. Calculate g(m(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 1:44 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, c: 17}. What is prob of picking 2 c and 2 h?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 5*r - 35, 2*f - 41 = -f + 4*r. Let v = -738 - -903. Calculate the greatest common divisor of f and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107602483 to the nearest integer?\nAnswer: 10373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/2*(-13560)\/(-36). Suppose o = 4*d - 0*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1028 - -1024) + (-4 - 19) + 6\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 32. Suppose 132 = b*w - 4*j, -j = 4*w - 2*w - 127. Round w to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2704\/14 + (-8)\/(-5 - -61). Suppose 2*y - 4*h = 3382, 0 = -3*y - 4*h - q + 5246. What are the prime factors of y?\nAnswer: 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52952 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -62*r**2 + 3*r - 3. Let y be x(2). Let l be 2*(-1 - y\/1). Let m = l - 289. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19048 (base 13) to base 4.\nAnswer: -23310022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -261?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/(5\/4). Let u = 116 - 120. Sort f, -2\/7, 1\/4, u in ascending order.\nAnswer: u, f, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/(-7) - 1) + -1. Let s = -4.08 + 0.08. Sort y, s, 0.5 in descending order.\nAnswer: 0.5, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**2 - 6*o**3 - 4*o - 6*o**2 - 4 - 9*o**2 - 31*o**2. Let w(n) = 7*n**3 + 39*n**2 + 5*n + 5. Give -5*c(t) - 4*w(t).\nAnswer: 2*t**3 + 39*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50149 (base 15) to base 9.\nAnswer: -425556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 372.9 and 1.5.\nAnswer: 559.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 444357464 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/(t**(-4)*t)*t))**(-1\/2))**3*(t\/(t\/t**(1\/3)))\/(t*t**(2\/7))*t**(-1)\/(t**(-5\/3)*t) assuming t is positive.\nAnswer: t**(87\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22752*x**2 - 126430*x**2 - 11589*x**2 - 46173*x**2.\nAnswer: -206944*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 < -18\/237862459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -360, -330, -300, -270, -240?\n\"Answer: 30*v - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9753478?\nAnswer: 2, 7, 17, 107, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 9 = 5*n - 1, 0 = n + 1. Let s be 3\/(f\/11) + -1. Suppose u + 2*r = 6*u - s, -6 = -3*u - 5*r. What is the greatest common divisor of 16 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302575.\nAnswer: 5, 52103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 19*t**3 + 117*t**2 + 14*t + 31. Determine z(-6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 1017 = 2*z + 1014 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhhbbddbhhbbh. Give prob of sequence bdd.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**3 + 0*m**2 + 0 - 198\/13*m**5 + 4\/13*m**4 + 0*m.\nAnswer: -2*m**4*(99*m - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**3 - 4*l**2 + 11*l + 74. Calculate j(-4).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express x - 23 + 2231*x**2 - 19 - 19 + 61 as v + z*x**2 + w*x and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 31. What is j(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1276)\/(-203))\/((-1)\/(-7)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60332?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7257, -14514, -21771, -29028?\n\"Answer: -7257*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -117 + -4?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((8\/(-10))\/(-2))\/((-21528)\/(-120510)) and -39\/34.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 636155, 636154, 636153, 636152?\nAnswer: 636151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 13. Let a(u) = -2*u**2 - 3 + 4 + 3*u**2 - 7*u**3 + 2*u. Let b be a(r). Solve 3*n - 2 = 5*n + 2*j, 5*j = n + b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*o + 863 = -983 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**2 - 13*r + 67. Is 59 a factor of u(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003252137 rounded to 6 dps?\nAnswer: -0.000325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 6, 0, -3\/2, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1622 = -9*o - 1568 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 42*h**2. Let s(x) be the first derivative of 27*x**2 - 44 - 7*x**2 - 12*x**2 - 7*x**2. Determine s(d(i)).\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 15*i**2 - 3 - 1 + 11*i - 7 + 26*i**2. Let y(l) = -14*l**2 - 4*l + 4. Let o(m) = 4*s(m) + 11*y(m). Is 10 a factor of o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17529.9 + 183119.\nAnswer: 165589.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/561 or 1?\nAnswer: -4\/561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27562*y**2 + 6241 - 3125 - 3116 - 35761*y**2)*(4*y + 0*y - 6*y) + 0*y**3 + 0*y**3 - 2*y**3.\nAnswer: 126644*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -294*a - 83. Let s(v) = -101*v - 28. Calculate -8*s(c) + 3*w(c).\nAnswer: -74*c - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*t = -59*t - 5628. Let o = 364 - t. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 1 + 1. Let o be -5 - (30\/(-70) - 3\/(-7)). Let g = -12 - -44\/3. What is the third biggest value in o, g, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -d + 5*d - 3*i, 0 = -d + 3*i - 14. Let y(s) be the first derivative of -32 + s + 0*s**3 + 1\/4*s**4 + 3\/2*s**2. What is y(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248260982284 - -118?\nAnswer: -248260982166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.575 + -0.075. Let g = y + -19.401. Round g to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d - d + 8*d. Let h(s) = -54716*s**2 - 54724*s**2 + 109436*s**2. Give h(x(o)).\nAnswer: -576*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 90. List the prime factors of (z\/(-4))\/(2\/4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -486141*c*v - 132288*v + 3 wrt c.\nAnswer: -486141*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z - 33. Let u be v(-3). Let l = u + 100. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-10) + 2\/5. Let q(l) = -l + 4 - 4*l**3 + 4*l**2 + 1 + 3*l**3 + 0. Calculate q(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2833 + -2837. Let x = 11.8 + -13. Let z = x - -1. Which is the third biggest value? (a) z (b) -0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -19. Let q be (-8)\/36 + 1 + 384\/27. Suppose -8*l - 9 = q. Which is the third biggest value? (a) 0.5 (b) y (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 6 + 1 + 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.36816 - 9.36816. Which is the third biggest value? (a) -43\/4 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 281 + 218 = 0. Solve 5*t - n + 34 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 33393735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254966, -509915, -764864, -1019813, -1274762, -1529711?\nAnswer: -1784660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30177594 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + s - 1. Let u(g) = -4*g**2 + 4*g - 3. Let p(y) = 5*y**2 - 5*y + 4. Let k(d) = 3*p(d) + 4*u(d). What is -f(z) - k(z)?\nAnswer: -z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -6) + (2 - 1) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 899, 5778, 18997, 44726, 87135?\nAnswer: 150394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -5*c + 3*o, -4*o - 4 = 5*c. Suppose 2*v - 4*x - 26 = c, -v - 5*x = -3*v + 27. Calculate the remainder when 75 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1079070, -2158126, -3237180, -4316232, -5395282, -6474330?\n\"Answer: j**2 - 1079059*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259935704.\nAnswer: 2, 7, 4641709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 278668 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -186 + 368 - 182 - 4*j. Let b(p) = -p**2 + 2. Let q(w) = 2*w**2 - 5 - 4*w**2 + 3*w**2 + 2*w**2. Let o(h) = 5*b(h) + 2*q(h). Give o(v(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -33, -50, -73, -102?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 + 2 = 0. Calculate the remainder when (-945)\/(-10)*z\/6 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 971*h**2 - 2854*h**2 + 955*h**2 - 3 + 963*h**2 to the form o*h + g + y*h**2 and give y.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54965 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*g + 1406, -1152 = -2*g + 4*l - 236. Suppose -4*m - k + g = -1029, 0 = -5*m + 3*k + 1873. What are the prime factors of m?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 2}. What is prob of sequence xx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 17*s**4\/24 - 9*s**3\/2 - 910*s**2. Determine u(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14178 and 408?\nAnswer: 56712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 2*w - 9 - 13 to the form g + x*w and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2884, -6023, -9162, -12301?\nAnswer: -15440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 4. Let i be t(0). Is (-42724)\/(-36) + i\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -14*j + 111. Give h(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*-2*(sqrt(120) + (sqrt(120)*-1 + sqrt(120) - sqrt(120))))\/((4*sqrt(120)*2)\/(2*sqrt(588))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600989207?\nAnswer: 7, 13, 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74797*z = 74783*z + 210. What is the highest common factor of z and 2865?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26128*v + 8*v**3 - 26128*v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1375, -0.3, -0.4, 2\/7, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -2, 120, -392, -7.\nAnswer: -392, -7, -4, -2, 4, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1588393310 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/(((-32)\/(-36))\/8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3970821*s**3 + 44*s - 16093?\nAnswer: 23824926*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, d: 2}. What is prob of picking 1 e and 1 d?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 572387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 - 85. Let b(c) = 2*c**3 - 35*c**2 - 66*c + 6. Let q be b(-2). Let w = y + q. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3363 = 3*c - 5*i, 4*i - 1289 = -3*c - 4679. Let m = c - -1862. Suppose -5*v = -5*b - 1493 - 332, b = -2*v + m. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30030189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1625*s - 28. Let v be y(-12). Suppose -11671 - v = 7*r. Calculate the common denominator of r\/396 - (-8)\/(-44) and 57\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 + -52. Suppose 3*u + 18 + 18 = 0. Let g = o + u. What is the greatest common factor of 45 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**4\/12 - 3*x**3\/2 - 9*x**2\/2 + 5*x - 2. Let a be c(-4). Calculate the greatest common divisor of a and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v + v)*(4 - 3 - 2) + 38 + 17*v - 38 + 0*v + v + 0*v - 2 + 2*v + 2 + (-2*v + 2*v - v)*(4 - 2 - 3).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-3*6\/837). Let n = -250 - y. Does 31 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (-3 + sqrt(117)))*4 - (-1 + 2 + sqrt(1053)))**2.\nAnswer: -198*sqrt(13) + 1174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47378354 to the nearest integer?\nAnswer: 6883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 15 - 3. Let g(x) = x**2 + 7*x + 16. Let j be g(y). Suppose j*l - 31 = -2*q + 33, -4*l = -4*q + 128. What is the smallest value in 2\/3, q, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - -227. Let j = -324.999999409 + w. Round j to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 0, -g + o + 5 = -0*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 4\/((-16)\/4). Let v = m + 1. Let d = -0.1 + 0.1. Which is the nearest to 2\/3? (a) v (b) d (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1475 = 5*o - 5*f, -4 = -4*f + 8. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33401 (base 5) to base 6\nAnswer: -14515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232083*g**4 + 63*g**3 - 49321217*g.\nAnswer: 2784996*g**2 + 378*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) + 1 - sqrt(304)) + 2)*-1)**2*4 - (sqrt(95) - (-1*(-4*sqrt(95) - sqrt(95)) - sqrt(95)))\/(sqrt(55)\/(sqrt(11) + sqrt(99))).\nAnswer: 36 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 158\/49 at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 - -131.5. Let n = 119.5 - w. Let m = -100 + n. Which is the nearest to -1? (a) 2\/3 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11, 4, 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, j: 1, i: 11, h: 3, b: 1}. Give prob of picking 1 j and 1 i.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -190*o**3 - 2 + 194*o**3 + 2 - 8*o**2.\nAnswer: 4*o**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 25 - 105. What is the greatest common divisor of l and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/41)*v**(-4\/11))**(-3\/7) assuming v is positive.\nAnswer: v**(-795\/3157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3\/4 (c) -0.192 (d) 0.46 (e) -7646\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7002*n = -16324*n + 372880 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4347\/(-6)*68\/(-6). Suppose -5*a = -25289 - k. Round a to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192897 to the power of 1\/2, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -73, -154, -281, -448, -649, -878, -1129, -1396?\n\"Answer: y**3 - 29*y**2 - y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1 + sqrt(931))*4 + (-5 + -1*sqrt(931) + sqrt(931))**2 - ((3*(sqrt(931) + -1) + sqrt(931))**2 + -5)).\nAnswer: -14872 + 196*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -2967900.\nAnswer: -296790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 287219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 + 5*i**2 - 1053 + 2661.\nAnswer: -2*i**2 + 1608","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -23*k + 181. Determine v(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - m**3 + 3*m**3 + (0*m - 4*m + 5*m)*(-2*m**2 + 2 - 2) - 66*m**3 + 125*m**3 - 71*m**3 to l*m**3 + z*m + x + a*m**2 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 1\/9 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 times -0.3594215?\nAnswer: 0.068290085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118951915?\nAnswer: 5, 149, 159667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(500) + 1 + -2) - (3 + (sqrt(500) - 4*(-1 + sqrt(500) - sqrt(500)) - (sqrt(500) - ((sqrt(500) - (sqrt(500) + 0)) + sqrt(500)))*2)))**2.\nAnswer: -2860*sqrt(5) + 60669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let x = -34 + 51. Let d(b) = 4*b**2 - 9*b + 2. Let j be d(3). Let h = j - x. Let u(l) = -7*l - 2. What is h*w(m) - u(m)?\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 2*u - 6. Suppose 0 = -5*w + 3*b - 30, -5*w - 4*b = 722 - 727. What is i(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -35*h**2 - 3681*h - 92. Determine z(-104).\nAnswer: 4172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -24. What is the remainder when (8\/7 + -2)*-7 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 0*y + 3*y)*(0 - 1 + 5)*(0 + 4 - 2)*(-1 + 0 + 0).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fybtdybbfffj. What is prob of sequence yt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x. Let t be (-1 + 3)\/(-11 + (-3856)\/(-352)). Let h(l) = -44*l. What is t*d(g) - 2*h(g)?\nAnswer: -44*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-96)\/90)*(-36)\/27?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 8:01 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 31 = -10*q. What is the hundreds digit of ((-14)\/q - -1)\/(39\/(-3510))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2697, -5414, -8145, -10896, -13673, -16482, -19329?\nAnswer: -22220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -503\/36 - -55\/4. Which is the second biggest value? (a) y (b) 4 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 10*x + 2040. Is 120 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 3*n**2 + 3*n**2 - 219*n**3 - 3*n + 218*n**3 + 4 - 2*n. Suppose -4*z + 46 = q, 3*z - 26 - 17 = -5*q. Suppose -25 = -z*k + 6*k. Give g(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23894 is divided by 1492?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 9:18 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let w be o(1). Let r be (-2 + (-2)\/(-3))*12\/(-8). Suppose -5*d = v - 20, d - 14 = -r*d - v. Solve -d*p = -w*j - 1, -3*j + j - 3 = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/11))\/(r*r**(-3\/8)))\/((r\/(r*r**5\/r))\/((r**7*r)\/r))*(r*r**5*r)\/(r*(r*r**(-1))\/r)*r**2\/(r**(-2\/9)*r) assuming r is positive.\nAnswer: r**(15665\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18603 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 1, u: 1, d: 1, j: 1, z: 2}. What is prob of picking 1 j and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (0 - 27) - 2 - (1 + 25).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + (3 + sqrt(19) - sqrt(19)))*-1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 4 + (-22 - (1 - -3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -48 (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -4, 0, -1.\nAnswer: -34, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 254549 and 44786?\nAnswer: 24945802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*k**2 + 3)*(-2*k**3 + 3*k**3 + 0*k**3) - 2*k - 15*k**4 - 4*k**5 + k**2 + 15*k**4.\nAnswer: -6*k**5 + k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 + 8*j**2 - j + 6. Let p = 470 - 466. Calculate f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3280369.\nAnswer: 19, 41, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17941744*f**5 + 6218260*f?\nAnswer: 358834880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*l - 2293 = 91*l - 6847 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49864056?\nAnswer: 2, 3, 11, 19, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145195*q**2 + 33*q**3 - 145195*q**2 - 331*q**3.\nAnswer: -298*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k + 4 = -77 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s + 11541*s**2 - 11531*s**2 + 28*s + (0 + 4 + 1)*(5 + 8 - 4)*(-3*s + 4*s - 3*s)*(s - 2*s + 3*s) in the form y + l*s**2 + b*s and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(3 - 0) + 0. Suppose -12*y + 1230 = -l*y. What is y rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 16 = 5*j, -r - 4 = -3*j - 0. Suppose 0 = -2*u - 2*i + 212, 18 = -4*i - j. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*s + 10*s**3 + 165*s + 6*s**3.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*n + 1177, -c + 3*c = 2*n + 478. Let q = c - 1181\/5. Solve 6\/5*y**3 - 6\/5*y**5 + 0 - q*y**2 + 4\/5*y**4 + 0*y = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7\/3)*h*h*h)\/h**(-6)*((h*h**8)\/h)\/(h*h**10*h) assuming h is positive.\nAnswer: h**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 7554690 and 3.\nAnswer: 7554693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*l + 4*v - 1, -l - 5*v + 25 = 0. Suppose l = -2*w + 4, 0 = -m - 3*m - 2*w + 184. What is the remainder when m is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(343) + 1)*5.\nAnswer: -175*sqrt(7) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -27250526+9\nAnswer: -27250517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xeq when three letters picked without replacement from {q: 3, e: 2, x: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*c + 3*c = -37, 5*c = -q - 29. Does 14 divide 23 - (-3)\/q*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)\/g*g)**2\/(g*g*g**(-2\/7))**(-20\/9) assuming g is positive.\nAnswer: g**(94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(136))\/((sqrt(16)*-1 - sqrt(16))\/sqrt(2)) - (((sqrt(612) - (-2 + sqrt(612))) + -2)**2 - sqrt(612))*3.\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.136468744 rounded to four decimal places?\nAnswer: 0.1365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1014, 1, 2 in descending order.\nAnswer: 2, 1, -1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 3*q**2 - 2*q**2)*(-7*q + 2*q + 2*q)*(-923*q + 1486*q - 717*q).\nAnswer: 924*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 12:16 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n - 9. Let h(m) = -5*m + 4. Let v(r) = -3*a(r) - 7*h(r). Let s(k) = k**2 + 8*k - 14. Let d be s(8). Let z = d + -108. Determine v(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321594 divided by 16926.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**6\/120 + j**5\/6 + 3*j**4\/4 + 13*j**3\/6 + 276*j**2. Let l be (-26)\/4 + (-2)\/4. Does 34 divide r(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1296 or -228666?\nAnswer: -1296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2. Let a(z) = 10*z**2 - 28*z + 2. Determine a(g(m)).\nAnswer: 40*m**4 + 56*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 v when three letters picked without replacement from vvkvkklkfplvvvvfvff.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 16820\nAnswer: 1\/8410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 758 + -200. Calculate the remainder when c is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16613 is divided by 930?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*m - 23988, -2*c - 9579 = -2*m - 7*c. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**3 + 16*w**2 - 27*w + 136. Calculate the remainder when 186 is divided by v(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23204*-582\nAnswer: 13504728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 681*t**4 + 3521.\nAnswer: 2724*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3 (c) 1 (d) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 180\/225 - 6\/15\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/5 - (66\/(-10) - -4). Let g be c + -7 + (10 - 4). Put -5, 8, g in ascending order.\nAnswer: -5, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 837464*w + 19262730.\nAnswer: -2*(w - 23)*(w + 418755)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, n: 6, q: 7}. What is prob of picking 1 k and 3 q?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 13) in base 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 228693582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) 15873 (b) -1\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/5258 and 53\/18642.\nAnswer: 205062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 10*u - 4. Let s(a) = 11*a - 5. Suppose 4*i + 0*l = -3*l + 95, -3*i + 50 = -2*l. Suppose -i - 25 = -9*b. What is b*s(v) - 6*j(v)?\nAnswer: -5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - (-2 - (-1 + 1))) + (-704 - -715).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451925*v - 21125*v + 255131*v.\nAnswer: 685931*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 - w**2 + w**2 + 2*w**2 - 4*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -213642.\nAnswer: 1\/71214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 791 and 1197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24329\/7 - 3475. Let n = 1.18 - 0.48. Which is the third biggest value? (a) 1\/2 (b) n (c) 3\/2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4647, 4385, 3947, 3333, 2543?\n\"Answer: -88*q**2 + 2*q + 4733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67598*y - 384 = 67582*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1672840 divided by -334568\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 + 10*s - 15*s**2 + 10*s**2 + 3*s**2 - 10 to y*s**2 + t*s + v and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0 = 3, -4*s = -3*y + 1205. Calculate the highest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 310520878?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-9) - 25\/(-6))\/((-3)\/(-24)). Solve v = -167*j + 156*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(z + 1 - 1)*(-5*z - 2*z - 5*z)*(-4 + 4 + 8*z).\nAnswer: -192*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 - 83. Let y be (0\/1)\/(45 - h). Let 0 + 1\/4*a**2 + 1\/4*a**3 + y*a = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (4 - 3) - (-8 + 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1158438 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6462 - 87 = 25*j. What is the greatest common factor of j and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 5*w + 46. Solve 2*d = 3*d + 3*s - w, 4*s = 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-36) - (-20)\/(-9). Does 4 divide 1\/(1\/3) - y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 900 and 2475?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i + 26. What is s(14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 16, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 497, 1132, 2041, 3236, 4729, 6532, 8657?\nAnswer: 11116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -242610 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+8948227324.2\nAnswer: 8948227324.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8164?\nAnswer: 2, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(147))**2 - ((sqrt(147) - (sqrt(147) + -1*(sqrt(147) + 1)) - sqrt(147))**2 + sqrt(147)).\nAnswer: -35*sqrt(3) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and -379.5?\nAnswer: 8728.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 + -76. Suppose 0 = 53*o - a*o + 4. Is (1 - (-6)\/o) + 179 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 532867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 253 and 3759074.\nAnswer: 3759074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-14927)\/(-236)*48\/138\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 2. Let o(h) = h**3 - 9*h**2 + 447*h - 2125. Let l be o(5). Which is greater: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5528282 (base 9) to base 5\nAnswer: 1230043030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -716*c**2 - 41*c + 164. Let m(g) = -239*g**2 - 14*g + 55. Let q(z) = 11*m(z) - 4*y(z). Is q(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*k + 6*k - 14 + 11 as v + m*k and give m.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1683 and 45067?\nAnswer: 405603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50140*h - 25059*h + 4 - 25083*h.\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7108839.99 seconds in weeks?\nAnswer: 11.754034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 0. Let p be (-21)\/(-14) - (-9)\/x. Suppose 0 = -5*j - p*j + 30. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -1328, -3, 1, -4 in descending order.\nAnswer: 4, 1, -1, -3, -4, -1328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(176))**2 + sqrt(11) + -5 + (sqrt(44)\/(-6*sqrt(16)\/sqrt(4)))**2.\nAnswer: sqrt(11) + 25175\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4 = 21. Suppose v + 2*q = 7*q + 29, -105 = -5*v + p*q. Suppose 4*b - 9 = v. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1245979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/80)\/((-5)\/445590*3). Let p = t + 1477. Find the common denominator of 1\/85 and p.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (663\/(-1768))\/(42\/8)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512 = 284*m + 286 + 54 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -6779?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 - 4. Let j(o) = -3*o**2 - o + 5. Let x(g) = g + 6. Let u be x(14). Let l = u + -17. Suppose -l*b + 0 = -9. Give b*n(i) + 2*j(i).\nAnswer: 3*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-2*z - 3*z + 2 + 2*z - 6*z**2).\nAnswer: 6*z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69063631?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 140?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79\/((-22910)\/(-348))*170\/(-3).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + -12 + 14 - (-21 + (-12 - -24)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1051.1 + -1051. Put i, 5, -0.1 in decreasing order.\nAnswer: 5, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154.02 - -0.16\nAnswer: -153.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1079156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*d + 10. Let u be ((-3)\/(-2))\/((-5)\/d). Is (-2 - (u + 0))*49 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**4\/12 + b**3 + 79*b**2. Calculate q(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22021220 + 12121002020?\nAnswer: 12220101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-5) - 2\/6*-9. Solve -2*n - 19 = 2*r - b, -n - 11 = 2*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -377*d**2\/2 - 10*d + 10. Let n be a(8). Let w = 60579\/20 + n. Find the common denominator of w and -65\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (6 - (-644)\/(-32) - -7)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19510 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 22. Suppose 0*h + h = -5*h. What is g(h)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16127 less than 0.36?\nAnswer: 16127.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 207*b**5*z - 1253*b**4*z - 20*b**2*z - 142*b*z - 28 wrt b?\nAnswer: 12420*b**2*z - 30072*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90687989?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 244326 and 516.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21822 - -21828. Solve 5*w = 5*z - i*z + 19, 5*w - 15 = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h - 30. Let g be k(4). Sort -2, 1, g.\nAnswer: -2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3948325681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = -0*g + 3*d, 0 = 4*g + 5*d - 3. Suppose g*s = 5*c - 672, -4*c + 3*s - 533 = -8*c. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(8208) - (sqrt(8208)*5 + sqrt(8208)))\/(6*(sqrt(15)\/sqrt(5) + sqrt(3)) - sqrt(3)))**2.\nAnswer: 1710000\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - ((2*sqrt(76) - sqrt(76))*1 - sqrt(76)))\/sqrt(4).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 1c55?\nAnswer: -1c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 273*x**2 - 346. Let m(s) = -91*s**2 + 115. Let l = 144 + -152. Let n(r) = l*m(r) - 3*u(r). Find the first derivative of n(h) wrt h.\nAnswer: -182*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - 0.33. Let v be ((312 - 310)\/((-30)\/(-9)))\/(6\/4). Put v, -2, 2, s in descending order.\nAnswer: 2, v, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 218, 438, 658?\n\"Answer: 220*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 136833 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -11\/20, -5 in descending order.\nAnswer: -0.06, -11\/20, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 7*s**2 + 2*s - 8. Let r be c(7). Let a = 10 - r. Solve -3*h = -2*z - 2*h - 12, 0 = h - a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-28)*47\/(-94).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1816 divided by -5.\nAnswer: 1816\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1660 and 14499685.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19081*a + 26057*a - 40801*a)*((2 - 2 + 2)*(-3 + 3 + 2) + 1 + 2 - 5).\nAnswer: 8674*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 27*h**2 + 59*h - 32. Let l be q(29). Sort 31, l, 1 in decreasing order.\nAnswer: 31, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + w + 2 + (-2240 - 2088 + 1692)*(w - 5*w + 3*w).\nAnswer: 2637*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 - 94. Let j = -44 - -45. Put 2\/3, j, n, -2\/37 in decreasing order.\nAnswer: j, 2\/3, -2\/37, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87905 + 180*t**2 + 195*t**3 - 380*t + 5*t**4 - 87905.\nAnswer: 5*t*(t - 1)*(t + 2)*(t + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74924 times 0.3\nAnswer: 22477.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/178 in -2, -1, 10, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t**2 + 2*t**2)*((-2*t + 0*t - 2*t)*(0 - 1 + 0) + (-1 + 1 - 2)*(-3*t - t + 5*t) - 8*t + 14*t + 0*t + 2*t - 4*t + t).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02427 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 26*c - 42*c - c**2 + 7 + 22*c. Determine a(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:09 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d + 1. Let z(o) = -3*o. Let k(t) = 4*n(t) - 7*z(t). What is the remainder when k(11) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 3.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 218879561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2)*b)**(-2\/13)*b*b**(-11)*b*((b*b\/(b*b\/(b\/(b\/b**(-5))))*b)\/b*b)\/b)**(-8))**11 assuming b is positive.\nAnswer: b**(15840\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8306 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 14*p + 512. Calculate the highest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(3328)*-4 - sqrt(3328)))\/(sqrt(48)\/(1*sqrt(24)\/sqrt(2)))*-2.\nAnswer: -160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-7) + 2 - (-3)\/3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f - 16. Calculate b(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {i: 2, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*s + 2*f - 35094, -5*s + 3*f - 58474 = 0. Let j = s - -233767\/20. Calculate the common denominator of j and (75\/(-66) + 1)*25.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/11 - 164*g**2\/11 + 342*g\/11 + 504\/11 = 0. Calculate g.\nAnswer: -84, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1103819 and 26303.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2928556 divided by -2?\nAnswer: 1464278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 11. Suppose 0 = -5*g + 5, 4*t - g + 3 + 18 = i. Let p be -13 - 25\/(-5) - -4. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, 0.128 in decreasing order.\nAnswer: 1, 0.5, 0.128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 6*r - 5. Let a be 14\/6 - 2\/6. Let d(w) = -9*w + 4*w**a - 4*w - 5 + 16. Let k(i) = 4*d(i) + 9*h(i). Determine k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19116 or 1808\/3?\nAnswer: 1808\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 3. Let t be (3 + (-4 - -3))*133\/14. Suppose 4*r = -5*y - t, r - 8*y = -4*y + 11. Put 0, 1, r, n in increasing order.\nAnswer: n, r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p + 5. Let w be v(1). Solve w = -2*y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -13*y**2 + 9*y - 9. Let d(g) = -6*g**2 + 4*g - 4. Suppose 0 = 5*x + v - 105, 0 = 2*x + v - 6*v - 15. Suppose -w - 4*w = -x. Give w*a(j) - 9*d(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611.8156 hours in days?\nAnswer: 108.82565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 473637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Let l be 16\/(-12)*(1 + f). Let s be (2\/(-8))\/(l\/48). Solve -4 = -c - 2*u + 2, 0 = -s*c - 5*u + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 780 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 14*x + 2 = 0. Sort 5, 3, x in ascending order.\nAnswer: x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46412466 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 8*b**2 - 4*b - 114. Let t be f(-9). Let x(v) = t*v**2 - 2*v**2 - 3*v + 0*v - 4*v + 6*v - 4. Give x(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2 - 188*l + 8580 = 0. What is l?\nAnswer: 78, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 1. Let f(i) = -i**3 - 3*i**2 + 4*i + 8. Let y be f(-4). Suppose 7 = y*n - n. What is j(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189183964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 3*u)*(-88 + 5*u**2 + 88) + 19*u**3 - 24 + 24.\nAnswer: 29*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 6035.\nAnswer: -3017.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24957 in 2\/7, 3, 2, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53241659930470 - -0.3.\nAnswer: -53241659930469.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33125531 (base 6) to base 4\nAnswer: 3302002333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273630?\nAnswer: 2, 3, 5, 7, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/6 + (-15)\/(-30). Sort 0.4, t, 1, -0.4 in increasing order.\nAnswer: -0.4, 0.4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316886?\nAnswer: 2, 158443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 407449599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {q: 3, j: 11}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.08 - -13. Let b = 1.92 - l. Which is greater: b or 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -23, 1, 0.5 in ascending order.\nAnswer: -23, 0.5, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**5\/60 - 3*j**4\/8 + 23*j**3\/6 + 18*j**2. List the prime factors of w(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171468140?\nAnswer: 2, 5, 251, 34157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 2*x**2 + 12*x - 2. Let f(d) = 2*d**3 - 3*d**2 - 13*d + 3. Calculate 2*f(p) + 3*l(p).\nAnswer: p**3 + 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 362 + s**3 - 940 + 286 + 285.\nAnswer: 3*s**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 not equal to 602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.339 - -0.839. What is the closest to -0.02 in a, 0, -3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = p - 15, -4*y - 2*p = -20. Suppose y - 7 = 3*a. What is the units digit of a + 9 + 1 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -20*a - 249. Let p be z(-11). Which is bigger: -666\/23 or p?\nAnswer: -666\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5925\/525 + (-10)\/35. What is the closest to -2\/5 in 0.7, -2, x?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h = -15*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 8*l**2 - 7*l - l**3 + 10*l**2 + 5*l**2 + 8. Let d be v(-8). Let r(n) = n**2 + n + 51. Is r(d) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**5 - 255*o**4 + 1144090*o**3 - 1143570*o**2 - 1144085*o + 1143825 = 0?\nAnswer: -505, -1, 1, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j - 72. What is the common denominator of -71\/2 and ((-67)\/27)\/((-6)\/j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 172 = -5*o + 3*o, 0 = -2*o + 2*w - 182. What is the remainder when o\/(-7) - (-8)\/28 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -3700.6.\nAnswer: -1850.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 69) + 40 + (1 - 0 - 10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = l, 4*l + 35 - 10 = -3*p. Let t = 10 + p. Put -3, -2\/3, t in ascending order.\nAnswer: -3, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15066 - -25?\nAnswer: 15113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -87 - 8695092?\nAnswer: -8695169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000470682 to seven decimal places.\nAnswer: -0.0000471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*u - 190, 0 = m - 2191*u + 2188*u + 51. Let a be 2\/3 + (-950)\/21. Which is greater: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 11:03 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - j - 50, -2*j = 2*y + 6 - 36. What is the greatest common divisor of 793 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-590)\/8)\/5)\/((-83)\/((-2324)\/7)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/383, -2\/79, 4, -23\/2.\nAnswer: -23\/2, -2\/79, 1\/383, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2874299.03 and -0.0928.\nAnswer: 2874298.9372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*n - 2*n = -20, 3*f = -5*n + 40. Suppose 5 = h - 5*z, 0 = -3*h - h + 5*z + f. Let r = -22 + 229\/11. Which is greater: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -134325 - 76491. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 17*b + 8. Suppose -2*m - 2*z = 0, 0 = 4*m - 4*z - 45 + 13. Let l(q) = -6*q - 3. What is m*h(y) + 11*l(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (553\/(-21))\/((-35)\/(-1)). Let d = -1\/21 + j. Put d, -2\/17, 0, -0.1 in decreasing order.\nAnswer: 0, -0.1, -2\/17, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -55\/196, 5.\nAnswer: -55\/196, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -14, -4\/1561, 3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*1*6)**2 + sqrt(245)*-2 + -1 - ((3 + sqrt(20)\/sqrt(4))**2 - (sqrt(120)\/sqrt(8))\/sqrt(3)).\nAnswer: -19*sqrt(5) + 8805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4510453 by -6.\nAnswer: 4510453\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndqyqqx. Give prob of picking 1 y and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16483204 is divided by 1498473.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001010100010001 (base 2) in base 4?\nAnswer: -1001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39423765 to the nearest integer?\nAnswer: 6279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-315)\/(-36))\/(97\/(-388)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 u when four letters picked without replacement from {u: 4, q: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**5\/7 - 580*f**4\/7 - 10698*f**3 - 74304*f**2\/7 = 0.\nAnswer: -96, -1, 0, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5}. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 18. Let m(z) = 34*z + 6. Let b(s) = -23*s - 4. Let t(j) = -3*b(j) - 2*m(j). What is n(a) + 2*t(a)?\nAnswer: -a - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*u - 38, 4*u + 4*c - 37 = -c. Let t be (-756)\/10 - (-4)\/(-10). Let w be (22\/u)\/((-19)\/t). Solve -2*z = -5*k - w, -2 = 4*z - k - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-seven fifths of a micrometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(9)\/sqrt(3))**2.\nAnswer: -7 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -51*x**5\/4 + 3915*x**4 - 141564*x**3 - 289653*x**2\/2 + 1198323*x\/4 - 34185\/2 = 0. Calculate x.\nAnswer: -2, 1\/17, 1, 43, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**3 - 5*v**2 - 5*v. Let w(g) = g**3 - g**2 - g. Give h(o) - 5*w(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 44839525 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 5*f**3 + 4*f**3 + (-29*f - 38*f**2 + 29*f)*(-f + 4*f + 0*f))*(4 - 1 - 1) - f**3 + 2*f**3 + 3*f**3.\nAnswer: -220*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22210002202020 - 2?\nAnswer: -22210002202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**4\/24 + 2*n**2. Suppose -1 - 5 = -3*a. Let b(k) = 8*k**2 - 8*k**2 - 6*k**2 + 2*k**a. Give b(z(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) 2 (c) -2\/7 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412488 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27419*r + 27417*r + 4*c - 20, -2*c = r - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(55\/(-10) + 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -5 - (7 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23956 is divided by 11960.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3022 - 198*c + 3022)*(-2 + 2 + c**3) - 2*c**4 + 5*c**4 - c**4 to the form l*c**2 + q + g*c**3 + s*c + j*c**4 and give j.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2. Let u be (1 + 0)\/((-2)\/(-4)). Let g(s) = -s + 6*s - 2*s - u*s. Calculate x(g(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/6*4\/(-10). Let i be -4*(475\/4740)\/(-19). Let h = 262\/1185 - i. Put -1, g, h in ascending order.\nAnswer: -1, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46.4 + 178.6. Let y = f - 224.5. Which is the biggest value? (a) -2\/11 (b) y (c) 3\/2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 2. Let l be 4\/(-10) - (-24)\/10. Let j(x) = -19*x + 6*x + l + x**2 + 14. Let y be j(11). Give v(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = j + 16. Let p = j - 34. Let d(c) = -5*c**2 - 5*c + 8. Let a = 3 - 16. Let m(o) = -11*o**2 - 11*o + 17. Calculate a*d(b) + p*m(b).\nAnswer: -b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 - 1 - 5*p + 35*p**2 - 35*p**2 as n*p + i*p**2 + d + t*p**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -78*g + 5780. Calculate h(126).\nAnswer: -4048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 14\/91*13. Let n(c) be the second derivative of -c**5\/20 + c**4\/6 + c**3\/2 + 2*c**2 + c. Give n(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**3 - 40*m**2 + 51*m**2 - 2*m**3 wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 7:13 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-452)\/(-38) - 2316\/(-22002). Let b be 3\/(2\/8*3). Suppose -b*x - 1 = -13. Solve -y = x*y + m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**5\/12 + 72*d**2 + 2. Let x(u) = u. What is x(t(s))?\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 17*o**4\/12 - o**3 + 3600*o**2. Let a(f) = -11*f + 2. Calculate -10*a(w) - 3*r(w).\nAnswer: 8*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 3)\/(1\/3). Find w such that 5*w + 0 + 2 + 3*w**2 - w**4 - w**m + 0*w + 0*w = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33221039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 0 - -3)\/2. Suppose 10 = 5*o, 3*s + 0*s - 4*o - 4 = r. Suppose -s*j + 35 = j. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)\/q*q*q**(-2))\/(q**(-1\/5)*q\/q**(-2\/5))*(q\/q**2*q)**(1\/11)\/((q\/q**(-1\/4))\/(q**1*q)) assuming q is positive.\nAnswer: q**(-189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.022 + -0.352. What is u rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2 + 7. Let a(y) = 2*y**3 + 2*y. Suppose -3*w + 24 = 4*q - 2, 0 = -5*w + q + 28. Let g(m) = -2*m**3 - 2*m. What is v*a(f) + w*g(f)?\nAnswer: -2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 6*q + 25. Let t = 30 + -28. Let d = 1048\/805 + -84\/115. Which is the closest to q? (a) d (b) -2\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6278 + -6290.948. Let b = 0.152 - x. Let w = b + -8. What is w rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 1. Let b(s) = 2*s + 8. Let x(r) = -3*r + 1 - 8 - 2. Let k(d) = 2*b(d) + 3*x(d). What is -k(c) + 6*w(c)?\nAnswer: -c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/77 - 854\/(-22). Suppose 2*x + 17 = 4*o - 17, x = 4*o - w. Let z(d) = -3*d**2 - 10 + 21 - o. Let y(m) = -8*m**2. Give y(z(k)).\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(27\/4)*h\/h**(-2\/13))\/(h**(-5)*h)**(-1\/19))**18 assuming h is positive.\nAnswer: h**(68409\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 56.1177 meters?\nAnswer: 0.0561177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37.31 - 36.56. What is the second biggest value in 1\/8, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*b - 2208 = 241*b. Are 63 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(t - 9*t - 10*t) + 4 - 2*t - 4 - 4 + 4 - t + (-1 + 1 - 2*t)*(-2 - 1 + 1) + t - 2*t + 3*t - t + 3*t - t.\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkkvvb. Give prob of sequence kbtb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1968\/5)\/((-150)\/(-4125)). Does 11 divide ((-3)\/(-2) + 0)*z\/82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d374 (base 15) in base 3?\nAnswer: -11211201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = 6*w. Let r be w - ((-10)\/(-5) + -289). Suppose 2*p = -2*p + r. List the prime factors of p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 74250?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8542, 6686, 4830?\nAnswer: 2974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 79*g + 400. Suppose 2*a = -172 + 162. Let n be y(a). Let w(x) = -2*x**3 - 7*x**2 + 3*x - 7. Let j(k) = k**3 + 5*k**2 - 2*k + 5. Give n*w(d) + 7*j(d).\nAnswer: -3*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 714681 and 396?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/191320 and -71\/4.\nAnswer: 191320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 279?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -16. Let a be 4 + (l - -2)*0. Suppose a*x + 5*f - 192 = 0, f - 3 = -3*x + 141. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*d + 5*t + 2, 8 = 2*d + 3*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**8\/560 + z**6\/120 + z**3\/3 - 49*z**2\/2 - 34. Let d(n) be the third derivative of l(n). Factor d(h).\nAnswer: -3*h**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 3*j + 1176 = 1193, -5*j = -4*u + 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*w + 1102, 1106 = 2*w + 14*i - 11*i. Is 50 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aeee when four letters picked without replacement from aaeeaaaeeaaaaeaeeaa?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -27*x - 22 + 4 + 18. Let o(m) = -3*m + 3*m + m**2. Determine q(o(y)).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-435)\/120 + -10 - -8.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a + 5. Let v be q(2). Let r be (-3)\/(v\/4 - -4). Suppose 0 = -5*o - 59 + 69. Solve -2 = x - s, r*x + 3*s = -x - o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3537, -3548, -3537, -3492, -3401, -3252, -3033, -2732?\nAnswer: -2337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/17))**(2\/31)\/((c*c*c**(-15))\/(c*c**(-3\/14)*c)) assuming c is positive.\nAnswer: c**(109145\/7378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 16 + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -692, -2919, -6874, -12755, -20760, -31087, -43934, -59499?\nAnswer: -77980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -0.2. Let k(z) be the second derivative of z**5\/20 + 7*z**4\/12 - 5*z**3\/3 - 11*z**2\/2 + 3*z. Let f be k(-8). Put f, y, 0 in descending order.\nAnswer: f, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/90 and 31\/8640?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Suppose 2*c = n + 7, 2*n + 5*c + 7 = u*c. Let j(s) = -s - 7. Give j(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2393530 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*k**4 + 4*k**3 + 146*k**2 - 78181*k + 9 wrt k.\nAnswer: -108*k**2 + 24*k + 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nes when three letters picked without replacement from smessemjmjemne.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(242) + 0 - 5*sqrt(8)\/sqrt(4)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 13*v + 4. Let m be k(13). Suppose -m*g = -2*g, -5*g + 70 = 5*w. What is the remainder when (-6)\/27 - (-470)\/9 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 730*k - 721*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 147 + -99. Suppose -3*t - 3*t = -n. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 18740911.\nAnswer: 4\/18740911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2252*v + 2253*v + 26 - 4501*v to j*v + c and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4746 + 40?\nAnswer: 4786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (19 + -1 - -2). Let w = 138\/7 - z. Suppose 4*v = 5*m - 2, 5*m + v - 1 = 7*m. Is m at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -391, -768, -1125, -1462, -1779?\nAnswer: -2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + 2*j - 41*j)*((3*j + 0*j - 2*j)*(18 - 9 - 10) + 2 - 2 - 2*j).\nAnswer: 99*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 2:05 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -326*b**5\/5 + 103*b**4\/24 + b**3 - 2796*b**2. Find the second derivative of j(h) wrt h.\nAnswer: -7824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-4))\/((3\/(-15))\/1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwwohlhhwh. Give prob of sequence ohh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -65*p + 4. Let z be s(-3). Let q be 4*(42\/8)\/3 - 3. Suppose u - q - z = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1491*c**2 + 804*c**2 + 688*c**2. Let h(w) = -7483*w**2. What is y(h(s))?\nAnswer: 55995289*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6329 + -5903.7. Let k = 425 - y. Sort 0.3, -55, k, 0.2 in descending order.\nAnswer: 0.3, 0.2, k, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44, -50, -54, -56, -56, -54?\n\"Answer: z**2 - 9*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 7*f + 18. Let a = -18050 + 18043. Give t(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + t + 5*t)*(-1 - 2 - 2)*(3*t + t**2 - 3*t)*(0*t**2 + 3*t**2 - 2*t**2).\nAnswer: -15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(110\/(-44))*(-16)\/(-24)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*4\/(-63))\/(24\/36)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 57739 = -51981. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82411991941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 250 - 230. Calculate the remainder when 94 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6377 - -9367. List the prime factors of y.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -11\/52982777?\nAnswer: -11\/52982777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + 2 + 6 - 5*g - 4*g. Let w(b) = 6 - b - 2 - 3. Calculate -v(t) + 8*w(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -151, 2, -0.5, -3\/2, 1 in decreasing order.\nAnswer: 2, 1, -0.5, -3\/2, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40112.\nAnswer: 2, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*45 + (-11 - -11). Calculate the highest common divisor of u and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-3\/5)*m)*m*m*((m\/m**(-1\/2))\/m*m)\/m*m)\/((m\/(m**(2\/3)*m))\/m*m\/m**1*m))\/((m*m**(-1)*m)**(-15)*m*m*m**2*m**(1\/3)) assuming m is positive.\nAnswer: m**(463\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 343 from -0.12.\nAnswer: -343.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = k + 5*g, 5*k = -2*g + 15 + 7. Which is the closest to -3? (a) k (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.32 - -0.3. Let o = -425 + 423. What is the second smallest value in o, u, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 20*t**2 + 2*t + 36. Calculate s(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h - 3*w + 14784, 2*h - 4*w + 5922 = 0. Let j = h - -8768. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2304 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6700a0 (base 13) to base 4\nAnswer: -21100232213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, f: 3, n: 1, x: 2, r: 1}. Give prob of sequence jrx.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/33))**(-10) assuming j is positive.\nAnswer: j**(20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8\/51 (b) 3\/7 (c) 6 (d) 25 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h - 2. Let t be o(2). Suppose -2*p + 13132 = 3*m, -2*p + t*p = -4*m + 17508. Let y = -8524 - m. Round y to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 9:15 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = -19*z - 3*z - 4*v + 99, -52 = -2*z - 3*v - 32 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 19915.9615 to the nearest integer.\nAnswer: 19916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20 = d - 4, -3*x + 35 = 5*d. Suppose -z = d*l + l + 11, z - 3*l = 13. Suppose z*i - 336 = -40. What is the highest common factor of 111 and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus 154?\nAnswer: -153.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 2*f + 4*i = -27, -4*i - 9 = f. Let n = -3 + 6. Suppose -3*u = 12, f*u + 3 + n = -o. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 91. Let n(d) = -10*d - 3. Let a be n(0). Let t be (-1)\/(-5)*(-20)\/12*a. Solve 0 = v + t - g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 6, l: 4, a: 3, b: 1, k: 1}. What is prob of picking 1 b and 1 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - 761 + 4*s**4 - s**2 + 375 + s**3 + 384 as c*s**4 + q*s**3 + a*s**2 + d + k*s and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 392*r - 792.\nAnswer: 2*(r - 2)*(r + 198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/6942 and 49\/5340.\nAnswer: 69420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 0) + (0 - -1 - 2). Solve 2*q - x = -7, 8 = 2*o - 4*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 527 (base 15) to base 8\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + q - 6 - 19 - 16.\nAnswer: q - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((-4*sqrt(1368)*2 - sqrt(1368)) + sqrt(1368)))\/(sqrt(162) - sqrt(162)*-1 - (sqrt(2) - sqrt(8)\/(3*sqrt(4)))))**2.\nAnswer: 221616\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**3 - 5*d**2 - d. Let i(b) = b**3 - 3*b**2 + 3*b - 4. Let p be i(3). Let j(n) = -n**3. Let q(z) = p*j(z) + a(z). Let x be q(-4). Is x <= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6825 is divided by 361?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 - 19760*z**4 + 24732132*z**3 - 799130504*z**2 - 23481489680*z - 129971714400 = 0 for z.\nAnswer: -10, 54, 2453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 4*z + 11102339 - 11102291 = 0, 4*z = 4*j - 16 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699*l**2 + 703*l**2 - 1384*l**2.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*a - 550 = 102*a - 2842 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/6)\/q)**(-17)\/(q\/((q**0*q)\/q*q))**4 assuming q is positive.\nAnswer: q**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 59, 62, 65?\n\"Answer: 3*s + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -2\/39, 2 in decreasing order.\nAnswer: 2, 2\/13, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 334*d + 9228. What is o(35)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -5. Let d be 22*3\/q + -3. Let s = 10.2 + -11.2. What is the closest to d in -3, s, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdpo when four letters picked without replacement from dpdipxeio.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**2 - 20*g**2 - 18*g**2 + 57*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4243 or 39?\nAnswer: 4243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2 - -1)*180\/(-270).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11929060 divided by -55\nAnswer: -216892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2141595 is divided by 1070795.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 54*a - 43. Let x = -358 - -375. List the prime factors of g(x).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 + 149 = -2*h. Let k = h - -182. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -1\/13, 5 in descending order.\nAnswer: 26, 5, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 19707 divided by 2\nAnswer: 19707\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*u**3 + 107*u**3 + u**2 - u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -73*s + 13. Let t(u) = -219*u + 39. Let j(m) = -11*b(m) + 4*t(m). Is j(-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 35626 is divided by 1413?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4*-4*sqrt(171)*-2)\/(sqrt(729) + 6*((sqrt(729) - 2*sqrt(729)) + sqrt(729))))**2.\nAnswer: -19456\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5707 - 1266.\nAnswer: -6973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**5 - 20*a**4 + 30*a**3 - 5*a**2 - 5*a. Let d(n) = -2*n**2 + 2*n**3 + 3*n**2 + 0*n**3 - n - n**3. Let l(g) = -5*d(g) + o(g). Factor l(y).\nAnswer: 5*y**2*(y - 2)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 5, 2\/21, -0.75?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6558 is divided by 436?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 197.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*o**2 + o**2 + 3*o**2)*(0 + 0 - 2) - o**2 + 8*o**2 - o**2)*(0*o**2 + 0*o**2 + o**2) as h*o + s*o**4 + i*o**3 + y*o**2 + f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/7))**(-50)*(s**(-1\/3))**(-10\/7) assuming s is positive.\nAnswer: s**(-440\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let i(j) = -j + 11. Let o be i(7). Suppose 0 = m - o*m + 15. Let y(r) = 0*r + 31 + m*r - 31. Calculate y(u(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*w - 20146 = -20350 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43929\/(-34167))\/((-2)\/3 + 103\/168) - -12.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4341 (base 5) in base 2?\nAnswer: 1001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 83 = 19*y. Let c(j) be the third derivative of 0*j + 2*j**2 - 1\/20*j**6 + 0 + 5\/2*j**4 + 1\/10*j**7 - 2*j**3 - 21\/20*j**y. Solve c(r) = 0 for r.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*23142.\nAnswer: 6942.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35610926 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phhpphppphp. What is prob of picking 3 p?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 85.06982nm?\nAnswer: 0.00000000008506982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 12*x**2 + 631*x + 41. What is k(-59)?\nAnswer: 4584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 0*o**3 + 13*o + 0*o**5 + 0*o**2 - 3\/14*o**7 + 3\/4*o**4 + 0 + 0*o**6. Find the third derivative of a(h) wrt h.\nAnswer: -540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 - -306. Suppose 3*t + b = 4*x, 0 = -2*x - 2*t - 2*t + 90. Let k = x - 19. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 588 and 980?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v + 77*v + 12*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/36)\/((-45)\/(-72))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36234 and 732?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(207\/(-18) - -7). Let b(u) = -u**3 + 7*u**2 + 21*u - 9. List the prime factors of b(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.5 - 16.2. Round i to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21\/88 - -1747\/6952. What is the closest to 0 in -0.4, 10, h, 3\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 1:07 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**4 + 14795*g**3 + 537480*g**2 + 4851900*g = 0. Calculate g.\nAnswer: -18, 0, 2995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 + -28. Suppose -4*v + 26 = 6, 5*v = 4*z + n. What is the units digit of (-2)\/(z + (-366)\/(-123))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/16 + 8*c**3 + 384*c**2 - 154*c. Determine y so that f(y) = 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323544*m + 906082*m + 277649*m + 51353*m.\nAnswer: 1558628*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {n: 2, y: 2, j: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:32 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/3)*d)**(-15)*d*d\/(d*(d*d**(-1\/3))\/d)*d**(2\/7))**28 assuming d is positive.\nAnswer: d**(-1964\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-9 - (-1 - 6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5 - 72*o**4 + 698*o**3 - 1188*o**2 + 560*o = 0. Calculate o.\nAnswer: 0, 1, 14, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183957*f**3 + f**2 + f - 2350 wrt f?\nAnswer: -1103742*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -13*m + 36. Suppose 2*i - 5*t + 56 = 5*i, m = 4*i - 3*t. What is the highest common divisor of 18 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2. Let k(a) be the first derivative of -11*a**5\/60 + a**2 - 5. Let b(v) be the second derivative of k(v). Calculate b(j(q)).\nAnswer: -44*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 8\/3*-1. Let z be (5 - (10 + -3))\/(9 - 0). Which is the second biggest value? (a) d (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1003493*f**2 + 58401 - 58401.\nAnswer: 1003493*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 25*z**2 + 45*z - 18. Let d be u(-23). Solve 3*k + d*g + 11 = 0, -k + g + 2 = -5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1665766689.9999957 + 1665766608. Let g = u + 82. What is g rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 - 86. Suppose 20*p + 8231 - 21171 = v. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*1*6\/4. Let q(s) = 13*s**2 - 3*s + 2*s - 3*s - s**3 - 6*s**2. Let o be q(t). Calculate the greatest common factor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1994304?\nAnswer: 2, 3, 13, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -509 + 491 + (-4 - 3 - 4 - -2)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -17.514 and 0.9.\nAnswer: -16.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2431000 - -20?\nAnswer: 2431020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-3)\/7*(-4)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 125 = 545. Let w = 421 + d. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k**2 + 127*k + 9*k**2 - 127*k.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 2*a**2 - 4*a - 11. Determine o(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (2*sqrt(252))**2 - (1 + sqrt(252)*2)).\nAnswer: -4020 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35079 and 160897.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.26367 + -3.26367. Let y = 0.1 + 0. What is the nearest to y in u, -3\/2, 45, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31*-0.2\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -30, -7, 0 in descending order.\nAnswer: 0, -1, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760*h = 754*h - 48 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgx when three letters picked without replacement from {x: 1, g: 17}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*o - 4 + 17, 5 = -o + d. Let b be (20\/o)\/((-20)\/8). Solve -3*p + h - 2 = 0, -3*p + b*p = -3*h - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26\/3 + 8. Let k be -3*1*(-9 - -14 - 6). What is the nearest to 0 in -14, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76\/5*f**2 + 0 + 42\/5*f**3 - 32\/5*f + 76\/5*f**4 - 2*f**5 = 0. Calculate f.\nAnswer: -1, -2\/5, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3574751.\nAnswer: 59, 60589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*x + 3, 3*y = 7*y - 4*x - 12. Suppose -2*j + y*j - 4*g - 22 = 0, 38 = 3*j + 2*g. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -158050058?\nAnswer: -158050052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3269718106 to the nearest integer?\nAnswer: 57181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**7*v**(11\/2)*v*(v\/(v**28\/v)*v)\/v*v**(3\/16) assuming v is positive.\nAnswer: v**(-197\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t - 4*t)*(-3 + 7 + 3) - 10*t - 5*t - t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 0*y - y + y**2 + 0*y**2. Let v(c) be the third derivative of -c**5\/60 + c**4\/24 + 13*c**2. Let x be 1 + 16\/(-4) - 2. Give x*v(r) - 3*z(r).\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 + 19732945757.\nAnswer: 19732945715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c - 12. Let v(h) = h**2 - 2*h - 3. Let b be v(c). Suppose 0 = -3*r - 3, -2*l + 2*r - 6*r + 2 = b. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 - 1767 + 28*b**4 + 1769 + 5*b**2 - 4*b**4 in the form a*b**3 + n + g*b**4 + w*b**2 + i*b and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l - 5*o + 709 = 0, -4*l - 2788 = -4*o. Is 8\/(-20) - l\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23356104 is divided by 3892681.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -212300 (base 4) in base 13?\nAnswer: -118a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 - -189. Suppose -44 + a = 2*g. Let t be g + (-2 - 3) + -1. Let k(f) = f**3 - 7*f**2 + 5*f + 2. Give k(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320 by 1.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 27. Let i be m(25). Solve -i*j - 5 = -1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 3*p**2 + p + 1. Let j(x) = x**3 - 2*x**2 + 7. Determine b(m) - j(m).\nAnswer: m**3 - m**2 + m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 22*z = -x + 60501, -z - 242032 = -4*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 30*c = -14. Suppose 0 = -c*n + 125 - 41. Suppose 0*u = -4*k - 2*u + 272, 0 = -2*k + 4*u + 146. What is the remainder when k is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.41 times -3891\nAnswer: -1595.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (-5*2*sqrt(84) - sqrt(84)))*4)\/(4*5*(sqrt(12) + sqrt(12)*1)).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 1346 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 665.822?\nAnswer: 466.0754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d + d)*(-54*d + 44 - 44)*(77 - 148 + 69).\nAnswer: -216*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1401110 != -1401160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 1. Let i(v) = 5*v + 7. Give i(d) + 3*w(d).\nAnswer: 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 18*g**2 + 114*g + 34. Calculate the remainder when 89 is divided by o(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 1)*(-28)\/(-8). Let v = 9 + h. Sort -0.1, -0.3, v in ascending order.\nAnswer: -0.3, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147578 = -11*l + 30417. Let c = l + 15402. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/40*(-32)\/(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 299297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1088))**2*-1 - (sqrt(425) + 2) - ((sqrt(1700) + sqrt(1700) + -3)**2 + sqrt(204)\/(sqrt(12) - (sqrt(48) + sqrt(12))))).\nAnswer: -693*sqrt(17) + 47394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -195.835681 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2938 divided by 7\nAnswer: -2938\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.804 - 78?\nAnswer: 2.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/10350*90*(-244)\/(-4)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 10000000010001100001?\nAnswer: 10000000010001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*l - 2*h - 17, -4*h = 4*l - 20. Calculate the remainder when 43 is divided by l\/(-4)*(-44)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1025 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1233*q**3 - 74*q**2 - q**4 + 1232*q**3 - q + 354*q**2 in the form g*q**3 + b*q + w*q**2 + r + z*q**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -566, 5, 3974 in decreasing order.\nAnswer: 3974, 5, -566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 3*y**4 - 3*y**4 + (2*y**2 + 3 - 3)*(-2*y + 2*y - 2*y**2) + 3*y**2 - 3*y**2 + y**4 + 16*y + 40*y**4 - 71*y**4 + 34*y**4.\nAnswer: 2*y**4 + 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 221\/40 + -27\/5. Which is greater: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/6 and 3\/1184.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, 0, 1, -3, 3 in ascending order.\nAnswer: -107, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*j + 7213, -3*j + j = 2*l - 3620. Suppose l = 2*c - a + 6*a, 4*a = 4. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 1, w: 1, n: 1}. Give prob of sequence nw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-16 - 13) - 6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 14 + 25 = 0. Sort x, 4, -211 in descending order.\nAnswer: 4, x, -211","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - 2 + 2 + u - 5*u**2 as i*u + c + z*u**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(432)*5 - (-1*sqrt(108) - sqrt(108))))\/(sqrt(54)\/sqrt(6)*-2 + sqrt(18)\/sqrt(162)).\nAnswer: -648*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*b + 56, -30 = -2*f + 3*b + 24. Suppose -3*k - f = -8*k. Solve -4*n - 26 = -k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17310*a - 17281*a + 189312. Is a greater than or equal to -6527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 8*q + 1. Let n be k(-6). Suppose 2*f - 8 = -2. Suppose f*x = -n - 2. Which is the closest to 1\/3? (a) -1 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/4)\/(2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/5 <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(-15\/8)\/(j**4\/((j**(-1\/3)\/j)\/j)) assuming j is positive.\nAnswer: j**(-197\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10719 take away 3?\nAnswer: -10722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sffffsfffffffsffsf. What is prob of picking 1 s and 2 f?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f + 9. Let q(k) = -13*k + 17. Calculate 11*n(o) - 6*q(o).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edeeeeheeeekewkwhdu. What is prob of sequence wd?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -3310?\nAnswer: -3310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 281869 and 469?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3332 and 2924.\nAnswer: 143276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 11. Let m be x(8). Let l(z) = z**2 - z**3 + 6*z - 2*z - m*z. Let j(o) = 6*o**3 - 5*o**2 - 4*o + 2. Calculate j(t) + 5*l(t).\nAnswer: t**3 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -138 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2329914222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 1\/9, -5.\nAnswer: -27, -5, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 14287 - 20417 = 0. Is 4337 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*-2)\/sqrt(6))\/(sqrt(33)\/(sqrt(3) + 1*sqrt(3))).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = f - 136481, -5*d + 227468 = -10151*f + 10153*f. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -195, -240, -315, -420, -555, -720, -915?\n\"Answer: -15*c**2 - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*c + 0*c - 2*c**2 - 1471*c**3 + 1470*c**3 + 3*c**4 + 5*c to the form t*c**2 + d*c**3 + x + p*c + r*c**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5553065009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + 3.3. Let y = h + -4.3. Let g = -50 + 46. Put y, g, -0.5, 1 in decreasing order.\nAnswer: 1, y, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 6. Let m be h(0). Let o(u) = 2*u - 8. Suppose -2*g = 3*g. Let r(p) = 2 - 3 + g. Determine m*r(b) + o(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4 (b) 4 (c) 3\/2 (d) -30.352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 218 = 2*q, 24*q + 233 = 4*b + 23*q. Calculate the greatest common factor of b and 2793.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 2*j + 10. Let v be 12\/78 + 2\/(-13). Is c(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -639, -900, -1331, -1926, -2679?\nAnswer: -3584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = x + 2*r, -4*r - 24 = 7*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 81*t - 24. What is the units digit of s(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1438, -1, 0.079985?\nAnswer: 1438","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15\/60*24 - (-10)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 19*z. Let l(y) be the second derivative of -3*y**3 + 553*y. Calculate 4*l(i) + 3*v(i).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 3*y + 3*y + 6*y - 11.\nAnswer: 12*y + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 10*u**2 + 27*u - 25. Let o be f(8). What is the greatest common divisor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 2561*y + 17962. Determine s(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 4. Let j = 14 + -12. Suppose 0*t = 4*u + t - 10, j*u = 2*t. Let g(f) = -f - 4. Let v(o) = u*k(o) - 3*g(o). Determine v(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(1540\/8))\/((-3555)\/1975).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2118 + 2121 + (-10 + 1 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 8:34 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, -0.107, -0.1?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127675*i*q**2 - 66*i*q + i - 51*q**2 + 27129 wrt q?\nAnswer: 255350*i - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58401 divided by 27.\nAnswer: -2163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-7))\/((-1)\/2). Suppose -6 - 14 = 4*m. Let p = 1 - 1.2. What is the smallest value in v, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54312 divided by -372?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13754, 27192, 40632, 54074, 67518?\n\"Answer: u**2 + 13435*u + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22818, -45628, -68404, -91128, -113782, -136348, -158808?\nAnswer: -181144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 309 and 42848\/139 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 6*a**2 - 5*a - 3. Let w be s(7). Calculate the highest common divisor of w and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-742)\/(-212))\/(2\/(-4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 6 = 3*s, 0 = -n + 3*s - 19 + 1 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -736 + 721. Are j and 2\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 16*h + 3*h + 6*h - 2*h**2.\nAnswer: -2*h**2 + 25*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11*l - 14. Calculate the remainder when c(-7) is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29867268 divided by -6.\nAnswer: -4977878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.01 + 2.4. Let u = 19.11 - 19. Let h = u + v. Sort -4, h, 0 in descending order.\nAnswer: 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.22449 millennia to months.\nAnswer: 1070693.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 15. Let k = y + -4. Sort 5, k, 2\/3 in increasing order.\nAnswer: 2\/3, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10388, -11014, -11640, -12266?\n\"Answer: -626*v - 9762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-2))\/1*4716\/1048*2\/3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 46 = -25*n + 20*n - 0*x + 2*x, n + x = 2 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42 - -43c?\nAnswer: 3ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*f + 20*v = 26*v + 39, -5*f + 13 = -3*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.62 - 20.22. Which is bigger: z or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2390363853 to the nearest integer?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 0 + 0 + (0 + 0 - 2)*(2*d + 0 + 0) + (-3 - 5 + 4)*(3*d - 3*d + 3*d) in the form h*d + m and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 6 + x + 9*x + 0*x - 9. What is the least common multiple of j(-12) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -5 - (1 + 2 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q - 11*q + 2*q to the form v*q + g and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500679 is divided by 637.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5072? (a) -2 (b) 0 (c) 1\/5 (d) 2\/15 (e) 4\/3 (f) -21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -u - 81. Let g = u - -105. Let k = -38 - -39. Calculate the highest common divisor of g and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 338478 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 4. Let k = 5 - j. Suppose 0 = -4*q + 3*l, -9 = 2*q + l + 1. Which is the biggest value? (a) k (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*c - 484 = 339, 3*u - 4*c = 824. Suppose 3*d - 3*l = -0*d - 441, 2*d + 4*l + u = 0. What is the hundreds digit of (-2)\/9 + (-23504)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -9. Suppose -q + 1 = -a. Suppose 35 = q*l + 11. Solve 0 = 4*d + l - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 350013, 350059, 350105, 350151, 350197?\n\"Answer: 46*q + 349967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 6:08 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) - (-5914)\/6. Is h\/18 - 4\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 161738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2. Let d(w) = -w - 5. Let j be d(-5). Let a = 2 + j. Let t(g) = -2 + a + 4*g. Determine f(t(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/571 - 24544\/5139. Calculate the common denominator of -47\/84 and x.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 228, 348, 470?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 216134641*h**3*l**2 - 353908076*h**3 wrt l?\nAnswer: 432269282*h**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -25. Let r be (-1 + 0\/(-1))*5. Sort 0, h, r in increasing order.\nAnswer: r, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.097538mm in micrometers?\nAnswer: 1097.538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = -18 + 53 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 - 1. Calculate z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (19 + -14 - 6) + 0 + 13\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 43 = -5*q - 18, 2 = 2*x. Let k(s) = -s**2 - 14*s - 19. Let w be k(q). Suppose -w*z + 484 = -z. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 - 59234*i\/5 + 296045.\nAnswer: (i - 59209)*(i - 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 48, 460, 1708, 4254, 8560?\n\"Answer: 77*f**3 - 44*f**2 + 5*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 4*q**2 - 4*q + 3. Let r be o(5). Is 98\/8 - r\/32 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 714 - 29 + 335 = 51*h. Let l(z) = z**3 - 2*z**2 + 2*z + 2. Calculate the least common multiple of h and l(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69937 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -785.6459624 and 4317.\nAnswer: 3531.3540376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 7 + 2*l + 17 to a*l + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4663282829?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14688, -30194, -45700?\n\"Answer: -15506*x + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 3*r**2 - 10*r - 2. Let g be l(-4). Suppose g*m = -7*m + 473657. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30400 + -13032?\nAnswer: 13324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*h + h + 10, -4*u = 3*h + 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5722267478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 102 = -3*q. Let f = q - 45. Put f, -2, 0, -3 in decreasing order.\nAnswer: f, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*n + 174*n = -3. Let y(j) = j**3 - 5*j**2 + 3*j - 2. Give y(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 7. Let b be (-27)\/(-21) - 4\/14. Let o be v\/(0 + 2) - b. Is -2 equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4288616*24\nAnswer: -102926784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110070540 to the nearest integer?\nAnswer: 10491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 9.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*d**3 + 4*d**2 + 753 wrt d.\nAnswer: -57*d**2 + 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(21) - sqrt(63)\/sqrt(3))*-5*-3)\/((-5*1*sqrt(378))\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 868 = -3*m - 219, -3*m - 4*g = -653. Suppose -3*x = -m - 16. List the prime factors of x.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20189 and 621200.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 - -2.215.\nAnswer: 1.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**3\/3 + 43. Let g(s) = s**3 + s**2 - 1. Let q(u) = -u**2 - 4*u + 4. Let a be q(-5). Determine a*d(h) - g(h).\nAnswer: -h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -2 + -3 + 6. Let n = p - -4. Let y(g) be the first derivative of -g + 1. Let t(o) = -2*o - 2. Determine n*y(l) - t(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2*117441\/24)\/(1\/(-104)). Suppose -c = 5*n + 2532178. Round n to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*r - 5 = -6*r + 5, -126 = 2*v + 3*r - 122 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/22 and 51\/253?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b - 16 = 0. Suppose -20*k = -16*k - 120. Suppose b*i + 2*x - 6 - k = 0, -i = -5*x - 31. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24335 + -5?\nAnswer: -24344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/9)*h*h\/(h*h**(1\/12)*h))\/(h**(2\/5))**(-47) assuming h is positive.\nAnswer: h**(3529\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-4)\/sqrt(12)*2.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 greater than -510\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 4\/3*g**6 + 0*g**3 + 13 + 0*g**5 + 5\/2*g**2 + 0*g**4 + 0*g. What is the second derivative of t(a) wrt a?\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 74, 57, 28, -13, -66?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {x: 8, b: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 25*a - 23520 = 0. Is a a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 285544.\nAnswer: 3140984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5922495570?\nAnswer: 2, 3, 5, 101, 181, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o - 20. Suppose 4*m + 297 = 5*k, -k - 5*m = o*k - 315. List the prime factors of k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -264?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) 3 (c) -1.3 (d) -0.2 (e) -1\/2 (f) -0.34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-56)*-4)\/(-24*2\/(-140))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**3 + 9 - 3*o**3 - o**3 - 15*o + 5*o**3 - 13 to the form h + z*o**2 + g*o + s*o**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(0*g**2 + 2*g**2 - g**2) - g**2 + 0*g**2 + 0*g**2 + (-1 + 1 - 1)*(2*g**2 + 5*g**2 - 2*g**2).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/1*(-7 + 7). Suppose x = -4*h - 12, -2*z + z - 4*h = -5. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 61914.643 days?\nAnswer: 8844.949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/20*(-36)\/(-15). What is the second biggest value in r, -9, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2*-4)\/sqrt(9).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 11:59 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4 - 9*b**2 + 4*b**2 + b + 6*b**2. Let d be s(0). Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 238107138 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*x**3 + 31*x**2 - 19*x**2 - 12*x**2 - 26.\nAnswer: 107*x**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*r**3 - 1225*r + 1225*r)*(-1 - 5 + 0).\nAnswer: -276*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-3))\/(1\/(-9)). Let p = 23 + -23. Suppose 4 = 2*h - n - 16, 2*h + 5*n - 20 = p. What is the highest common divisor of h and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*c - 828*c = 8464 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -60545 divided by 2?\nAnswer: -60545\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - 12342124?\nAnswer: -12342066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28380 divided by 9460.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 10 + 4. Put k, 8, -5 in descending order.\nAnswer: 8, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22530 is divided by 103?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 n when three letters picked without replacement from {e: 2, r: 1, b: 3, n: 5, v: 1, h: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37\/7 in 3, -2\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and 59.7701.\nAnswer: 1255.1721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 at most 1.927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-18 + -21 - -4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - l = -72. Suppose 3*j = -3*u + 27, 2*j + 0 - l = -4*u. Calculate the remainder when 31 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -5*a**8\/112 - 2*a**5\/15 - 6*a**2. Find the third derivative of d(k) wrt k.\nAnswer: -900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 11. Suppose 0*x = -2*x + 48. What is the greatest common factor of l and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 5*f - 2. Let x be b(-2). Suppose -x*j = -7*j + 21. Solve -3*y - 5*v + 6 = 0, -y + j = -4*v + 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4005 = 37*g - 28*g. Let s = -151 + g. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*x - 134, 6*x + 60 = 5*x - 3*w. Let c = -63 - x. Solve 0 = -c*f - f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1039*f + 43 + 59 = -1022*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7044998591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/20*-5*(-24)\/(-16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*q - 2*v, 0*q = -2*q + 4*v - 12. Solve -t - 4*i - 23 = 0, -3*t - q*i + 6 = -5*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -922*u**4 - 15668*u**3 + u**2 + 3841175*u + 2.\nAnswer: -22128*u - 94008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 13) to base 14.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 9*a - 2. Let d be p(9). Let z = -28 + 48. Suppose 4*b + 16 = -3*j - j, -5*b = -5*j + z. Is d less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -19*d - 21. Let h be s(-14). Suppose -h = -8*j + j. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + y = 35 - 12, 4*y + 64 = 4*a. Let k = -3 + 108. Let b = k - 68. What is the remainder when b is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1877139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*a - 2*v - 27 = -114*a + 241*a + 10*v, -3*a - 2*v - 5 = 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 10, 7, 4, 1, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 14826195.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence loc when three letters picked without replacement from yocloylyyotyccy.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1572, -1558, -1544, -1530, -1516?\nAnswer: -1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2185?\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27072 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2099944cm in kilometers?\nAnswer: 0.000002099944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1054839*n + 34465*n - 14 + 9 + 5.\nAnswer: 1089304*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h - 15. Is ((-33)\/9)\/(2\/h) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13918 - 13914. Solve -57*o + r = -58*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**2 + 4*n - 4*n)*(-22895 + 44209 + 2*n**2 - 22236 - n) to d*n**3 + y + i*n + l*n**4 + p*n**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s + 6503. Is g(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - r - 8, -3*r = f - 6*r - 6. Let m be (39\/f - 4)*9. Find the second derivative of b**3 - 10*b**m + 32*b - 40*b wrt b.\nAnswer: -54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -11 (c) -270 (d) 5 (e) 2 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10004 - -301230444?\nAnswer: 301241003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20\/3131 - -370038\/90799. Are 5 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1507*c + 1503*c + 30 = -2*m, 0 = -2*m - 32*c + 150 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(1*sqrt(272))**2 - (sqrt(102)\/(sqrt(6)*-1 - sqrt(6)) - -1*(0 + sqrt(17)))).\nAnswer: -sqrt(17) + 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 5*p**4\/4 - 25*p**2\/2 - 25*p + 217. Let l(g) = g + 1. Determine -2*h(s) - 50*l(s).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 3*g - 9. Let q = -9 + 6. Let z be o(q). Let u = 0.259 + 0.041. Which is the closest to z? (a) -4 (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (4 + -8))*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 57 (c) 19 (d) -5 (e) 5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 28 - 50 = -3*d - 5*z, -2*d = z - 44 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/15 - a**4\/3 + 5*a**3\/3 + 15*a**2. Let x be f(4). What is the greatest common divisor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 36. What is the nearest to -2 in 10, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppf when four letters picked without replacement from {d: 9, f: 2, p: 6}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 5*w + 3*j + 4, 4*j - 114 = -146 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2895711 to the nearest integer?\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 23*q**2 - 23*q + 23. Let r be z(22). Let u be 4\/(-6)*(-27)\/6. Sort 2, u, r in ascending order.\nAnswer: r, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 30*s + 480 = 344, 5*l + 52 = 3*s for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69429 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1844250 - 1097327876\/595. Let j = -2\/5029 + -120662\/85493. Let n = i + j. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -63 + 93 + 5 + -100.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122211 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 80. Let d(x) = 18*x + 3. Let b be d(h). Suppose 0 = b*u - 23*u + 238. What are the prime factors of u?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = a - 513, -531 = -a - f + 3*f. List the prime factors of a.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(33\/24 - 1). Suppose x + 2 = -2*s + o, 5*x = 2*s + 18. Does 7 divide ((-2)\/x)\/(5\/(-70))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 729285065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)\/l)**(2\/47)\/((l*l*l**(5\/4)*l)\/(l\/l**(1\/5))) assuming l is positive.\nAnswer: l**(-3293\/940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 10:36 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o**2 + 2*o + 2. What is the tens digit of b(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*i*(i*i*i*i**0)\/i)\/i*i*i*i**(-2\/9)*i)**(-4\/3))**(1\/6) assuming i is positive.\nAnswer: i**(-140\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6252714 divided by 162.\nAnswer: -38597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - t - 1. Let q be j(3). Suppose 0 = q*i - 8*i + 90. Suppose -5*k - 5*c + i = 0, -5*k = 5*c - c - 27. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 174 = 3*g. Let m = 29 + g. Solve 2*p = -m + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by (-240)\/60 + 13\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-7)*(5 - 2) - -7.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/60 + 3*c**3\/10 + 68*c**2\/5 + 1054*c + 1. Determine n so that o(n) = 0.\nAnswer: -8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36508, -37485, -38462, -39439, -40416, -41393?\n\"Answer: -977*s - 35531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 57936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*f + 33*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w**2*x - 752438*w**2 - 43532*w*x - 10*x wrt x?\nAnswer: -w**2 - 43532*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-10)\/150*-1*-21.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 934 a factor of 226959198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 11, n: 3}. Give prob of picking 1 n and 1 m.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/((-23)\/(161\/42)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) -0.08 (b) -30 (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 1846*n**3\/3 - 1431*n**2\/2 + 21*n - 107. What is the derivative of r(j) wrt j?\nAnswer: 3692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -42, -0.02, -5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020140862 rounded to 5 dps?\nAnswer: 0.02014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9878 divided by 4939?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-148188)\/(-54) + 4\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/1296*-2)\/((-28)\/56). Let v = -1471\/81 - w. Do -18 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 0 (b) 3\/11 (c) -0.7 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19649599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -84, 1 in descending order.\nAnswer: 1, -1, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 12*v**2 + 6*v - 7. Is y(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**24\/(o**(-1\/15)\/o*o) assuming o is positive.\nAnswer: o**(361\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -21*k - 54. Let z be (-39 + -1)\/((-23)\/46). Let q = 70 - z. List the prime factors of l(q).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(3\/29)*k)\/(k*(k*k**(5\/4))\/k))**(-35))**(-1\/15) assuming k is positive.\nAnswer: k**(-287\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 11. Let j be k(4). Suppose 4*u + 12 = 0, 0 = -i + 5*u + 19. Differentiate -i*y**3 - 1 + 3 + j - 8 with respect to y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7191\/(-102))\/47)\/(1*3\/(-18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -2, -127, 11 in descending order.\nAnswer: 11, 4, -1, -2, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 15 - 2 = -2*u, -w = 5*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 2*l**2 + 27*l + 9*l**2 + 0*l - 11 + 2*l. Suppose 5*w + 6 = 3*r + 74, 4*r = 5*w - 69. Does 8 divide b(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-6))\/q)\/q**(-6\/5))**(4\/19) assuming q is positive.\nAnswer: q**(144\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112 or 5\/27?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 299595909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Suppose -5*x = -2*m + 32, -2*x = -5*m - w*x + 38. Suppose 69 = m*a - 135. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1520 - -2?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - 3\/(6\/(-8)). Suppose n = -6*x + x. Suppose x = -3*l, 4 = k - 5*l - 5. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 + -53. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*z + z**4 + 43644*z**2 - 2 + z**3 - 43644*z**2 as q*z + m + i*z**3 + n*z**2 + g*z**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:03 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -77599536.03 rounded to the nearest 100000?\nAnswer: -77600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66576 is divided by 32405.\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmffffffmf.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**5 + t**5 + t**5 + (-3*t**3 + 0*t**3 + 5*t**3)*(-t**2 - 2*t + 2*t) - 2*t**5 + 0*t**5 + 5*t**5 - t**5 + 2*t**5 - 5*t**5.\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbby when four letters picked without replacement from yybybyb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Let r be (-248)\/56 + (11\/(-7) - -1). What is the smallest value in r, p, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*12\/6 - 496. Does 4 divide 3\/((-105)\/y)*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 k when four letters picked without replacement from {q: 2, k: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2977 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232 - -413. Let k = 215 - y. Is -2 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 3. Calculate d(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (18 + -8 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/81)\/(-10)*9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-318*g + 233*g + 194*g + 9)*(2*g - g**2 - 2*g) to the form t*g + l*g**3 + h + w*g**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngan when four letters picked without replacement from agngngn?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44405 and 1720.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-2*6)**2.\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (6 - 4) - ((-7 - 15) + 7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 322 + -308. What is the greatest common factor of 70 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 20*z**2 - 32. Let v be x(20). Let f = v - -33. Which is bigger: f or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31999502, -31999506, -31999514, -31999526, -31999542, -31999562, -31999586?\nAnswer: -31999614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-6)\/(-3))\/(-10)). Let q be (3\/4)\/(d\/40). Let s(t) be the second derivative of -t**5\/20 - 5*t**4\/12 + t**3 - t**2 - 193*t. Determine s(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 590 or 851?\nAnswer: 851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + 13 + -6 + 7 + -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1. Let f(s) = -s**2 + 5*s - 1. Let j(m) = -f(m) - 3*y(m). Factor j(w).\nAnswer: (w - 4)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 + 28. Let g be ((-42)\/(0 - 3))\/(a\/1819). Let t = 714 + g. Find the common denominator of t and 137\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38, -39, 36, 223, 558?\n\"Answer: 6*h**3 + 2*h**2 - 49*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 17 = -19 - 34 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.168? (a) -1 (b) -1\/6 (c) -1\/2 (d) 6 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**4 + 0*h**4 - 8*h**4)*(-12 + 9 - 7).\nAnswer: 40*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -18*w + 11. Let r(a) = -9*a + 6. Suppose 144*k = 10*k - 402. What is k*p(s) + 5*r(s)?\nAnswer: 9*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -25*o**3 + 3*o + 4. Let z(c) = 13*c**3 - 2*c - 2. What is -3*r(f) - 5*z(f)?\nAnswer: 10*f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (36 + 905*w - 1879*w + 940*w)*(5 - 5 - 1) in the form h*w + x and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 2*f + 6, -f + 9*s - 5*s = 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-75)\/(-5))\/(-5)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8920 = 4*l - 0*l + 3*h, -2*l - 4*h = 4470. Let o = -1178 - l. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b - 10*b - 3*b in the form s + q*b and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8414927\/105 + -80143. Find the common denominator of -59\/35 and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -6. Let c(w) = -4*w + 3. Let v(r) = -r**2 - r - 1. Let b be 48\/496 + (-390)\/186. What is b*v(k) + o*c(k)?\nAnswer: 2*k**2 - 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12703, 50958, 114777, 204166, 319131, 459678, 625813, 817542?\nAnswer: 1034871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 + (-2 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6. Suppose q - 4*l - 6 = 0, -5*q + 15 = -v*l - 5*l. Calculate the highest common divisor of 6 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 884900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5267 - 636 = 421*u. Which is the closest to 2? (a) u (b) -3\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18443622 - 18443621.0000039. Let q = 1 - t. What is q rounded to seven dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150512*m**4 + 30*m - 24?\nAnswer: 1806144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**3 + 2*m**2 + 17*m + 51. Determine r(-4).\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.08, 2749, -5\/2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 0*x = 15, -4*w + 25 = x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 24, -1, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.51473 microseconds to milliseconds.\nAnswer: 0.00351473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -53e3308?\nAnswer: -53e3308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104874, 209795, 314808, 419955, 525278?\nAnswer: 630819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.07368 decades to months.\nAnswer: 8048.8416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2953570?\nAnswer: 2, 5, 295357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1824*q**3 - 1022*q**3 + 944*q**3)*(2 + 1 - 1 + (-3 - 3 + 7)*(2 - 5 + 2)).\nAnswer: -1902*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 792213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1 + -2.36. Let m = 133.36 - 136. Let i = m + b. What is i rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 42975 = -3*i. Suppose -5*f + i = -5*c, 5162 = 3*f - 0*c + 2*c. Suppose -f = 3*w - w. What is w rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-18) - 8\/(-3). Suppose -32 = -h - n*h. What is the lowest common multiple of h and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(10 + -4 + -4). Suppose 0 = 4*n + n. Suppose -2*o = -n*o + 6. Sort g, -5, o.\nAnswer: -5, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 0. Suppose -10 = -4*c - f + 69, 45 = 2*c - 5*f. Suppose c = 18*l + 2. Sort 0, u, l in descending order.\nAnswer: u, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p - 1. Suppose -5*x = -3*c - 87, 2*x - 3*x + 5*c = -35. Suppose 11*n + 4 = x*n. Let j be i(n). Is 4 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - t - 5464 = -5489, -60 = -4*u + 4*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -1.5, -2\/13, -1\/3?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**2 + 2*t - 1. Let f(s) = -18*s**2 - 28*s - 13. Let m(u) = f(u) - 4*y(u). What is m(18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 0.06337?\nAnswer: -0.16337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-6)\/1070)*129820\/(-16). Let o = j - 1\/428. Which is smaller: o or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/6*18\/(-12). Let q(s) = -2*s + c*s**2 - s**2 + 5*s - s**2. What is the remainder when 26 is divided by q(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33dc5746 + 2?\nAnswer: 33dc5748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82467 and 3276.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-169) - 11\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - ((-10 - 5) + 36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 14 = 520. Let a = u - -93. Solve x + a = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118187*4.5.\nAnswer: 531841.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5058 + 5063. What is the fifth biggest value in w, -0.5, 1.3, 0.06, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14303*y**2 - 14354*y**2 - 14373*y**2 + 42933*y**2.\nAnswer: -97*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -34c793?\nAnswer: -34c792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 5*k + 60. Let b = 36 + k. Suppose 0 = -2*m - 4*l + 204, 3*l - b*l = -2*m + 228. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003936 to four decimal places.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 9:43 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3137 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1245 by 5.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c - 4*c + 3*c)*(1 - c - 1)*(-35*c - 26*c + 20*c) to k + x*c + p*c**3 + a*c**2 and give p.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 908823, 3635296, 8179419, 14541192, 22720615, 32717688, 44532411?\n\"Answer: 908825*t**2 - 2*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -13986.\nAnswer: 1398.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.204ml in litres?\nAnswer: 0.847204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 126\/13 (c) 12 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16021, -128312, -433105, -1026652, -2005205, -3465016, -5502337, -8213420?\n\"Answer: -16042*b**3 + b**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 74 = -4*o - 39, 0 = -p - 1. Find the common denominator of 2937\/(-378) - 2\/7 and o\/(-135) + (-6)\/4.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756829 to the power of 1\/2, to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 110\/(-11))*1\/(4 + -2). Solve -d*y + 6 = -8*v + 13*v, -v = y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + 8)\/(2\/104*4). Suppose 5*i - 2*f = -57, -2*i + 53 = -7*i - 2*f. Let a = p + i. Solve -4 - 4 = -a*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(16)\/sqrt(2)) + sqrt(448) + 1 + (sqrt(70) + sqrt(70) + -6*sqrt(70)*2)\/sqrt(10).\nAnswer: -sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 9*j + 9. Let c be s(8). Suppose 4*u - 4*m - 37 = -c, -2*m = -3*u + 29. Suppose 3*z = -p - p + 17, -5*p + 3*z = -u. Solve p*t = -2 - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -74*p**2 - 7779*p - 8646. What is f(-104)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0706625*0.1.\nAnswer: -0.00706625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 63*f + 62*f - 4559 = 0, -u - 4*f = 927. Are -904 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40714 in -1, 3, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) -4 (c) 1 (d) -0.039\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - 9*z**2 + 11*z + 33. Let r be m(-5). Which is the biggest value? (a) -1 (b) 5 (c) r (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-18)*-3*6. Let v(m) = m**3 - m**2 + 2*m - 2. Let h be v(s). Suppose -2*w + 5*w - h = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4.6, -187, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4 - 104*n**3 + 326*n**2 - 220*n = 0.\nAnswer: -55, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 302 - -11?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 228*p**4 - 476 wrt p.\nAnswer: 912*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/16 and -107\/738.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -139\/84, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (sqrt(612) + -2))*2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 3. Let p(v) = -8*v - 8. Let d(l) = 14*l**2 - 7 + 321*l**3 - 15*l - 320*l**3 + 3. Let g be d(-15). What is g*p(u) - 11*a(u)?\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 31*i - 71. Let g be v(-28). Suppose -z - 2*p = -7*p - g, -5*z - p = -13. Solve 0 = z*a + 2*a + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -772918847 greater than -772918847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 y when four letters picked without replacement from {v: 3, y: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -129, 2, 3\/2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8 - 1\/4*j + 1\/8*j**2.\nAnswer: (j - 3)*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -9. Suppose a*v - 313 = -5. Let t(m) = 2*m**2 - 4*m + 1. Let o be t(3). What is the greatest common divisor of o and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-45) + (27170\/825)\/26.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-7\/3)\/(w\/((w\/w**(5\/4)*w)\/w)*w*w))**(-43))**(1\/10))**(-5\/7) assuming w is positive.\nAnswer: w**(-2881\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -50. Let q be (-41 - 0)*(5 - g). Which is smaller: -122 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 7*q**2 - 14*q - 3. Let t be n(-8). Suppose -40*k + t*k = -2061810. Let p = 797362 + k. What is p rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 3*o. Suppose 5*j - j = o. Suppose -2*w + 34 = -j*w. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/4 + 25*n. Let i(z) = z. Determine i(g(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3639*x - 1479*x - 2 - 752*x - 57 wrt x.\nAnswer: 1408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (143 + -2 + -241).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -481052 and -29979887.\nAnswer: -30460939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 10:14 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 678, 2719, 6120, 10881?\nAnswer: 17002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7180179?\nAnswer: 3, 193, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1841599*-1.\nAnswer: 1841599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 6776?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 - -1346f9?\nAnswer: 134720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -365 in -2, -0.3, 4, 0.3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8881, -17761, -26641?\n\"Answer: -8880*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 14*c + 17. What is the units digit of q(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*c + 2*c + 2*c)*(3*c**2 + 3*c**2 - 2*c**2) + 3*c**3 - 8*c**2 + 8*c**2)*(0*c**2 - 6*c**2 + 7*c**2).\nAnswer: -c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.0158 - 0.0158. Let n = -12 - -6. Let t = n + o. What is the nearest to t in 0.3, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + x + 12, 2*x - 30 = -5*f. What is the tens digit of 2\/f - (-192)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + 3 - 536\/56. Which is the fourth smallest value? (a) -4 (b) j (c) -84 (d) 0.5 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 58342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 30*n + 30. Let g(i) = i**3 - 7*i**2 + 5*i + 7. Let s be g(6). Let m(x) = -2*x + 3 + 0 + s + 0*x. Let j(l) = -1. Calculate n*m(q) - 4*j(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156142\/10 - (99\/(-18) + (-342)\/(-60)).\nAnswer: 2, 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/52 - ((-507)\/(-390)*10 - 477\/36)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2956 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -20. Find n such that 6*n**2 + 6*n - 2 - w*n**2 - 2*n = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/2*(-36)\/(-45))\/1. Suppose 156*v - 23 + 9 - 448*v**d - 1 + 7 = 0. Calculate v.\nAnswer: 1\/16, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 3. Let u(q) = 2949*q + 5898. Calculate 1966*j(v) - u(v).\nAnswer: -983*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-34)*11\/(-77)*14?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -515 + 895. List the prime factors of k.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1055\/2, -317, 3, 2\/13, 0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**6\/3 - 18*k**5\/5 - 23*k**4\/2 + 6*k**3 + 108*k**2 + 216*k - 63. Determine z so that v(z) = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.754794 decades to millennia.\nAnswer: 0.09754794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 - -7.23. Round s to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3 + 3)*(-3 + 1 + 0) - 24*l + 15 - 14 - 174*l.\nAnswer: -200*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 + 22*u**2 - 109.\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 6*b - 4. Let w be g(4). Let v be (w\/5)\/(8\/60). Let a be v\/(-33) + 387\/11. What is the greatest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -192400 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136553 - 136552.7. Let v = -0.04 + 0.84. Let s = -0.2 - v. Which is the nearest to u? (a) 4 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16581090?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*w + 2*w + 6 - 9*w**3 - 3*w - 2*w + 17*w to the form n + f*w + r*w**2 + y*w**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3110016*b + 2707690 wrt b.\nAnswer: -3110016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -33*p**5 + 52*p - 9. Let s(l) = 8*l**5 - 13*l + 2. Let i(w) = 2*j(w) + 9*s(w). What is the second derivative of i(a) wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260586 and 130293?\nAnswer: 260586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 10. Which is the closest to 0? (a) q (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(35)\/((sqrt(30)\/sqrt(3))\/sqrt(2)).\nAnswer: -5 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1918015633 - 0.05734?\nAnswer: -1918015633.05734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*x - 594 = 188*x. Sort 1, -4, x.\nAnswer: -4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -17*q + 7. Let b(z) = z - 1. Let a(n) = -4*b(n) - 4*y(n). Is 4 a factor of a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-15)\/(-20)*(-7)\/(-3)*1518\/483?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-18)\/((308\/(-21))\/11))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1747.\nAnswer: 1\/1747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15847276*a*g + 35988825*a with respect to g.\nAnswer: 15847276*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(-1)\/4*-10. Suppose -8*f + 22 = 4*a - 6*f, -5*a - 2*f + h = 0. Solve -a*c + 26 = -5*j, 3*j + c = 6*c - 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134 - 97. Let g be (-12)\/(-3) + k\/(-3). Round g to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 14 + 23*y to the form b + c*y and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179467 is divided by 25458.\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 789, 3727, 8773, 15927, 25189, 36559?\nAnswer: 50037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1854 and 927.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**2 + 2578664*a - 77363520 = 0. Calculate a.\nAnswer: -644696, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -c8581 (base 14) to base 6\nAnswer: -14212525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**4\/24 - 5*n**3\/6 + 7*n**2. Let o be f(-7). What is the units digit of 5*(o + 9\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 58*y - 24 in the form s + f*y and give f.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7814009915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*c = -51, 5*r + 10*c = 7*c + 54. What is the remainder when (27\/(-18))\/((-6)\/2008) is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (300\/(-400))\/((15\/(-28))\/(12\/21)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -28?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + j - 4*j)*(-4 - j**2 + 4)*(-3 - 2 + 4 + 1 + 1 + 0 + (-4 + 6 - 3)*(-1 + 2 - 3) - 22 - 10 + 1)*(-5*j + 3*j + 0*j).\nAnswer: -56*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 12:07 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2072678 is divided by 408?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 126543 + -114?\nAnswer: 126427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 2, -0.08, -5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u + u)*(-2 + u + 2)*(-5*u + u + 0*u).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3832.71 and -0.042.\nAnswer: -3832.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107 + -56. List the prime factors of z + 3*4\/(-12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*p**2*w - 2*c**3*p*w - 2701*c**3*w + 6*c**2*p**2*w + 3*c*p**2*w + 28*c*w - 16*p**2*w - 2*p**2 + 2*w wrt c.\nAnswer: -12*p**2*w - 12*p*w - 16206*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**2*y**2*z**2 + 290645*n**2*y**2 + 21*n**2*y*z**2 + 52*n*y*z + 4*n*y + 2*y*z**2 - 4 wrt y?\nAnswer: 8*n**2*z**2 + 581290*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1623*h = 1704*h - 3645 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*w - 4*l - 30, -4*w = 3*l + 35. Let m = 0 - w. Let h(k) = -k + k - k + 0. What is h(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 11, 1\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**2\/2 - 7730*a - 230775\/2 = 0.\nAnswer: -3077, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.391784 rounded to two dps?\nAnswer: 37.39","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1684, -2065, -2446, -2827, -3208?\n\"Answer: -381*r - 1303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -22 + (6 - -19) + -6 - -104.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*f + 0*f - 32 = 0, -n = -5*f + 25. Let h be (n\/(-9))\/((-2)\/(-3)). Let r be -1 - 3*-1 - h. Sort r, 2, -4 in decreasing order.\nAnswer: 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000946189 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1195\/51 - 438\/17. Which is the nearest to s? (a) 0.3 (b) 0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*d + 10047 = -502*d - 1873 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 132. Suppose v = -m - m. Calculate the least common multiple of 2\/2*-3*40\/m and 19.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 5 + (20 - (10 - -4))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*x + 9. Let z(n) = -2*n + 40. Let u be z(9). Suppose u*i - 2 = 24*i. Put x, i, 7 in descending order.\nAnswer: 7, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*y + 252 = 21*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a - 2960 + 3000. Suppose w - 72 = -3*z, 5*w + 2*z - 370 = -3*z. Suppose 8*r - w = 3*r. Calculate the highest common divisor of r and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 129761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.76 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -149894 - 0?\nAnswer: -149894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)\/j)**44*((j\/j**(-7\/2))\/j)\/((j**5*j)\/j))\/((j*j\/(j*j**(-2\/3)))**(-33)\/(j**(1\/3)\/(j\/(j\/((j*j**(-2\/9))\/j))))) assuming j is positive.\nAnswer: j**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 + 6.8. Let v = b - 6. Let n be 0 + 1 + 8\/(-14). What is the closest to v in -2\/7, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4320\/332 + (-11 - 2). Put l, -2\/11, -0.3, -15 in increasing order.\nAnswer: -15, -0.3, -2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/(-414) + (-20)\/230.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + o + 1. Let u be g(-2). Put u, -4, 2 in increasing order.\nAnswer: -4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11333201 (base 4) to base 3\nAnswer: -1020200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1889 + -1892. Which is the third smallest value? (a) 2\/5 (b) -0.03 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 17 = -5*c. Suppose 0 = 4*k - c*k - 30. Let x(d) = d**3 + 26*d**2 + 50*d + 48. Let f be x(-24). Solve 3*v = -3*l - k, 0 = -2*v - f*l + 2*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319264.1 millilitres to litres.\nAnswer: 319.2641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 404430774\/815 + -496234. Calculate the common denominator of 93\/8 and j.\nAnswer: 6520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -26850878\nAnswer: 13425439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54247979 and 803?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 17 + 15*j - 29*j - 1. Suppose -i = 3*i + 76. What is the tens digit of b(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 4*s - 4*s - 2*s**5 - s**3 + s**3 + (-4*s**3 + 4*s**3 - 9*s**4)*(3 - 3*s - 3).\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161220 by 6.\nAnswer: -26870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8085 * -0.03.\nAnswer: 242.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-20) + (-8)\/(-5). Solve -2 = -3*i + b*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17219, 34430, 51635, 68834?\n\"Answer: -3*n**2 + 17220*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3069 = n, -1832 = -3*w + n + 1231. Calculate the remainder when w is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/24, -0.17, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24244878 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, -1\/2, 4\/3, -0.02, -1, -98.5?\nAnswer: -98.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8*238589.4\nAnswer: -1908715.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/312*42\/(-35))\/((-460)\/65).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3673687 minus 4299914?\nAnswer: -7973601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 807*t**4 + 7*t**3 - 27*t**2 - 4*t. Let k(d) = 810*d**4 + 6*d**3 - 25*d**2 - 3*d. Let j(i) = 7*k(i) - 6*x(i). Find the third derivative of j(s) wrt s.\nAnswer: 19872*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-138*g - 42*g - 123 + 196)*(g**2 + g**2 + 0*g**2) to d*g**3 + p + y*g + x*g**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 966278855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.8 + 0.8. Let n = 0 - z. Which is the biggest value? (a) 0 (b) n (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2088100?\nAnswer: 2, 5, 7, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2023 (base 4) to base 8.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 77 = -23. Which is smaller: 19 or q?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 8:30 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**13*o*o**6*(o**(4\/3))**23)**(-31) assuming o is positive.\nAnswer: o**(-4712\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5768 a factor of 310549120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3040 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/7)*n**(-8)*n*n**(-5)*n**(2\/23)\/n assuming n is positive.\nAnswer: n**(-2125\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -30. Suppose -5*n - 349 = r, n = q*r + r - 75. Let o = -66 - n. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 25 - 5 = 0. Suppose a*i = -20, -2*t - 3*i + 37 = -4*i. What is the least common multiple of t and (-1080)\/(-68) - 2\/(-17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**3*r + 29*n**3 + 3*n**2*r**2 - 25*n*r - n + r**2 wrt n.\nAnswer: 12*n*r + 174*n + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/18 and -163\/13950?\nAnswer: 13950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 12, y + 2681 = 6*y + 2*a. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -1. Suppose -y + 10*f - 15*f = -641, f = 2*y - 1304. Suppose 2*s + d*s - y = 0. What are the prime factors of s?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-7))\/(-13*1 - (17085\/(-357) + 34))\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(1\/2)*g))\/(g*g*g*(g\/(g\/(g*g*g**(5\/6)*g*g)))\/g)*(g**0)**(-2\/21))\/((g**(-1\/14)\/g*g)\/(g**(-3)*g))**(3\/28) assuming g is positive.\nAnswer: g**(-8867\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 80372?\nAnswer: 80369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2*s = -3*s + 12, -5*s - 9 = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232215 - 669777 = -91*l. List the prime factors of l.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a meter in millimeters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(20\/6))\/((-12)\/(-60)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -22040*f + 132241. Determine q(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*u - 6, 2*x - 2 = 6*x + u. Let p be x\/24 - (-2 - 13\/(-5)). Which is the closest to p? (a) 3\/4 (b) -0.2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702668719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3401\/15 + 1137\/5. Let m = -3 - -2.9. Sort m, 3, f.\nAnswer: m, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17382294 and 60726.\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2909.49379 and 0.5.\nAnswer: -1454.746895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -40321440 divided by -2520090\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * -325825.81\nAnswer: -48873.8715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 8 - 8 + c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 2*p + 6. Let d be l(0). Is (-2685)\/(-35) - d\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-50)\/35)\/((-82)\/28 + (6 - 3)). Let b(m) = m**2 + 14*m + 13. Calculate b(p).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 148\/(-16) + (-15)\/20. Let a(w) = -11*w**2 + w + 2. Let o be -5*1\/(-20)*-4. Let c be a(o). Do c and k have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 1138*l - 15119. Calculate o(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 805956\/5 or 161190?\nAnswer: 161190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -1, -2\/11, -0.1, -3, 1\/9 in decreasing order.\nAnswer: 1\/9, -0.1, -2\/11, -3\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcvcvrivdvvvvvzdd. Give prob of picking 3 d.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -2\/53 (c) -4 (d) -3\/5 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 138 = -618. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 16*v + 444. Let r(n) = -n - 37. Let a(w) = 12*r(w) + z(w). Suppose -5*j + 40 - 130 = 0. Let b be (-76)\/j + (-12)\/54. Give a(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11884744?\nAnswer: 2, 23, 64591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001432693 rounded to 5 decimal places?\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 5*(-248)\/(-140). Sort -1\/8, -0.047, b in ascending order.\nAnswer: -1\/8, -0.047, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -13*r**3 + 3*r**2 + r + 5. Let b(t) = 7*t**3 - 2*t**2 - t - 3. Determine 5*b(w) + 3*o(w).\nAnswer: -4*w**3 - w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, -4\/7, 0.5, -4\/9, 55, 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 467032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 11:45 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l**4 - 2*l**3 - 46*l. Let q(s) = s. Let v(i) = 4*q(i) + z(i). What is the second derivative of v(y) wrt y?\nAnswer: 180*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/((-1)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2865*j + 8612*j - 2884*j - 2869*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104413433 - 4422?\nAnswer: 104404011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 699373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 - 1106\/(-3). Suppose 8*j - z - 88 = 0. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**2 + 7*h - 5. Let j(s) = 4*s - 43. Let a be j(12). List the prime factors of b(a).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012020202220000112 - 12?\nAnswer: -1012020202220000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 45 = 7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38318 is divided by 158.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -76\/9 (b) 18 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**6 - 841090*s**4 + 66*s**2 + 2*s + 60693?\nAnswer: 240*s**3 - 20186160*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16\/41725 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*j + 6447, 2933 = z + 2*j + 781. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3045*-0.02.\nAnswer: 60.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 58*n**2 + 832*n.\nAnswer: n*(n + 26)*(n + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 e, and 1 o when three letters picked without replacement from erryddo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/652050 and 113\/3780.\nAnswer: 1304100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**4*u**(5\/4))\/((((u**(2\/9)*u*u)\/u)\/u*u)\/u)**(-8\/9) assuming u is positive.\nAnswer: u**(2089\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -6*u + 33. Let i = 18 - 14. Suppose i = s - 26. Calculate the remainder when s is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21971*o**2 + 21918*o**2 + 21721*o**2 - 65362*o**2.\nAnswer: 248*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfnn when four letters picked without replacement from nrflfnllnnrfn.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 - 4*c**4 + (c + 4 - 4)*(-16*c**3 + 3*c**3 - 3*c**3) - c**4 + 0*c**4 + 0*c**4 + 5*c**4 - 2*c**4 - c**4 + (6 - 2 - 3)*(6*c**4 - 2*c**4 - 3*c**4).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {o: 1, v: 12}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32373, -64754, -97135, -129516, -161897, -194278?\n\"Answer: -32381*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 350*k + 12253. Let i be f(-35). Let w(d) = -d**3 + 2*d**2 - 2*d + 5. Give w(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 - 2.31. What is j rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16616?\nAnswer: 2, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 bigger than 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 - 3*p**2 + 3*p**2 + p**3 + 201 - 195. Is 2 a factor of k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**3\/3 - 8*o**2 - 3*o + 1. Let p be 2\/(-25) + 3980\/(-250). Calculate l(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*m + 4*m + 66*m + 51*m to o*m + i and give o.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69118.43 + 69431. What is p rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1*7*(-4)\/56?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 104 = 8*n. Calculate the smallest common multiple of 60 and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*a - 66 - 150 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*o + 49499984, 7*o - 5*p - 49500020 = 2*o. What is o rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14779 * 5.\nAnswer: -73895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30, -29, -20, 3, 46, 115, 216, 355?\n\"Answer: r**3 - 2*r**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*u + 624*u + 26 = -2*f, -10*f - 5*u = 55 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -49376.97 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -16 - 19 - -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1955?\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.1 + 26. Let y = -2.4 + o. Let d be (-1)\/(-1) - (1 + -1). Which is the closest to 2\/3? (a) 0.1 (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - ((-5 - -18) + 0 - -4).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -7995 and -7981 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 17*v - 21. What is the tens digit of a(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -2691692754.\nAnswer: 2691692752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w**2 + 12*w - 3. Let v(t) = -20*t**2 - 35*t + 8. Let a(z) = -z**3 + 61*z**2 + 260*z - 11. Let f be a(65). Determine f*g(x) - 4*v(x).\nAnswer: 3*x**2 + 8*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 532 = 2*r - 4*y, 4*r - 5*y - 1064 = 0. Suppose -5*h - s - 343 = 0, 7*h - 3*h - 2*s = -r. What is h rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*n + 206*n - 114*n - 1414*n.\nAnswer: -1764*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(4\/(-24)*-21)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**5 - 4*t**5 - 3*t**5 + (t**3 + 7*t**3 - 2*t**3)*(-3*t + 2*t + 2*t)*(0*t - 4*t + t).\nAnswer: -22*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**7\/840 + o**5\/120 - 4*o**3\/3 + 3. Let j(x) be the third derivative of a(x). Find the second derivative of j(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwuvvvuivtiidit. What is prob of picking 1 d and 1 t?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6167589g to kilograms.\nAnswer: 0.0006167589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10822 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anagagatagg. What is prob of sequence atga?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 12:50 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - 185. Factor s + 0 + 6*s**3 - 5\/2*s**4 - 9\/2*s**l.\nAnswer: -s*(s - 1)**2*(5*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(160\/(-6)))\/(15 - 720\/24)\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97175 divided by -7475?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 0.3.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 5 + 2)**2 + (sqrt(35)*-2*6 + sqrt(35))\/sqrt(7).\nAnswer: 45*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2411 from 1.\nAnswer: -2410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 1:08 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*v - 4 = -0*v, q = -v. Let t = 470\/7 + -67. Which is greater: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/342)\/((-5)\/(-135))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p - 4718 = -86*p + 799*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3856095.\nAnswer: 3, 5, 85691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + t**2 + 3*t. Suppose l = -0*l - 2. Let x be p(l). What is the highest common divisor of 12 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avxvxvvxaxxxxv. What is prob of picking 2 x, 1 v, and 1 a?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.373533 + 27?\nAnswer: 153.373533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -372 and -143507.\nAnswer: 53384604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 + -43?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62295 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/224*-24*(-10)\/(-40).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 + 159. Let s = 44 - 18. What is the remainder when o is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**2\/7 - 48*q\/7 + 80\/7 = 0.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*g - 2337*g + 10813*g.\nAnswer: 8650*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*f**2 + f**2 + 4*f**2 to the form i*f + j*f**2 + d and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/998 (b) -0.3 (c) 794\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 1:06 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -27*l**2 + 2. Let m(k) = 4*k**2. What is x(m(r))?\nAnswer: -432*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 8 - 18*o + 10*o - 2*o + 1 - 1 + (0 + 2 - 1)*(-2*o + o + 2*o) + 1 - o - 1 + 0 + o + 0 + 0*o - 4*o + 2*o + 0*o - o - o.\nAnswer: -14*o + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2575401259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 124, 131, 140, 151, 164, 179?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8713 or -87139\/10?\nAnswer: -8713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 - 4*d**4 + 2*d**4 + (-15*d - 7*d**3 + 15*d)*(2 - 2*d - 2) + (0*d**2 - 2*d**3 + 0*d**2)*(3 - 3 + 2*d) - d**4 + 0*d**4 + 4*d**4.\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -53, 14, -184.\nAnswer: -184, -53, -2, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b**3 + 3 - 20*b**3 - 5 + 2.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/3*(63\/(-182))\/(2304\/(-2496))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8*q + 128 = 0. Let r = 8 + q. Suppose 2*j - 3*y - 20 = 0, 5*j = -y + 6*y + r. Solve j*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 371.361 - 371. What is r rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/(-4) + -64 + 7375\/118.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4)*-4*(-7436)\/26 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 12) to base 11.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/7 + 12*r\/7 - 11\/7.\nAnswer: -(r - 11)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110100110 + -100?\nAnswer: -11110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50960793 a multiple of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17a - -202?\nAnswer: 37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -17428 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/3 - 172*j**3\/3 - 1504*j**2 + 92*j + 34. Solve c(k) = 0.\nAnswer: -8, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 15363504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40358676 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6078453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 5. Let c be k(3). Let o be 2*c\/2 - (-46 + 2). Suppose o - 11 = 16*r. Solve 0 = r*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -412444 + 4?\nAnswer: -412440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000032231 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*n - 100*n - 4*n + 3948 = 0. Suppose -20 = -4*c, 5*l + 2*c + 2*c - 725 = 0. Calculate the remainder when l is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1635053.4 months?\nAnswer: 13625.445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Suppose -4*c + 8*c = 0. Suppose 4*h + 4*o - 89 - 15 = u, 5*h - 4*o - 94 = c. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 6, d: 4, o: 2, s: 4}. Give prob of picking 2 d.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 6*h**2 + 17. Let j be p(0). Suppose 19*g = -j*g + 240444. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 5:09 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Let s(f) = 3*f + 13*f - 8*f. Let p(v) = 2*v. Let k(x) = 4*p(x) - 2*s(x). Calculate u(k(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 31. Let a be (1\/j)\/((-3)\/18). Which is greater: -6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.2. Let k = -5.3 - -4.95. Let q = k + 0.45. What is the nearest to q in 0.2, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 + 2*s**2 - 3808 + 9*s**2 - 7*s**2 to the form f + x*s**2 + v*s and give f.\nAnswer: -3808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867694779?\nAnswer: 3, 7, 97, 107, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -167*k**2*x**2 + 100*x**2 wrt k.\nAnswer: -334*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -196995*4\nAnswer: -787980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3\/9 - 424*n**2\/9 - 842*n\/9 - 140\/3 = 0.\nAnswer: -210, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g\/g**37))\/g)\/g)**(-15\/8) assuming g is positive.\nAnswer: g**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.4578425 to 2 decimal places.\nAnswer: 7.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4.4. Let u = 24 - 8.4. Let q = -15.3 + u. Put g, q, -2 in descending order.\nAnswer: q, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 - 29*h**2 + 33*h + 55. Is v(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**3 - 6*n**3 - 4 + 2 + 12*n**3 in the form u*n**2 + a + p*n + j*n**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4. Let s be 1\/(-9)*(-2)\/2. Is s greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 4*l + 5*l = -20, -4*l = -j + 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -106, -207, -304, -397, -486, -571, -652?\n\"Answer: 2*j**2 - 107*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4675?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -361609 and 3538?\nAnswer: -1279372642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 - f**4 - 86*f**3 - 84*f**3 - f + 169*f**3 to d*f**3 + x*f + t*f**2 + w*f**4 + r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 16 + 25 - 23*k - 54.\nAnswer: -23*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:12 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6823000 rounded to the nearest 100000?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -35*x. Let y(z) be the second derivative of -z**4\/6 + 3*z. Give y(w(n)).\nAnswer: -2450*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 15 (c) -5 (d) -2\/3 (e) -3063\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/20 and 3 + (354\/(-76) - -3).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22393?\nAnswer: 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + v**2 - v + 1. Let n(y) = y**4 - 3*y**3 - 2*y**2 - 4*y + 4. Let z(t) = n(t) - 4*q(t). Factor z(u).\nAnswer: u**2*(u - 2)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 2*k + 2. Let q be a(1). Does 47 divide (865\/(-15))\/((q\/(-6))\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -6, 0.3, -11, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23667192 by -41304.\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*v - 19108, p + 5*v + 4781 = -0*p. Let w = -181477\/38 - p. Let n = 4\/19 + w. Which is the biggest value? (a) 2\/11 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*y = 177*y + 2*r + 58708, 0 = 4*y - 5*r - 58690. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*a + 1204, 3*u = a + 2858 - 1052. Calculate the least common multiple of 14 and u.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 7*k**2 - 2*k + 14. Let s be v(7). Suppose -z - 2 + 10 = s. Suppose -7*c = -3*c - z. What is the greatest common divisor of 6 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 16*s**2 + 5*s - 2*s**3 + 12 - 4*s + s**3 - s**3. Give i(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050658947947 + 766?\nAnswer: 766.050658947947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73571 - 22*g + 73571 - 2*g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s - 10711*s**2 - 8*s - 7*s.\nAnswer: -10711*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0407 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a = 180. Suppose -3*v = -4*x - 107 - 35, -3*v = 4*x - 134. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/56 + (7\/2 - 1). Suppose 4*h - i*h - 40 = 0. Round h to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1871, -1880, -1891, -1904, -1919, -1936?\n\"Answer: -o**2 - 6*o - 1864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 488276601 to the power of 1\/2, to the nearest integer?\nAnswer: 22097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.274438997 plus -10?\nAnswer: -9.725561003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6339211657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*c + 2*t = -71*c + 8, -2*c + 4*t = 8. Let d(h) = -30*h - 4. Let b(o) = 15*o + 2. What is c*d(q) - 9*b(q)?\nAnswer: -15*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1607*g = 2*q + 2*q + 1605*g - 22, -4*g = -4*q + 64 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 2*v**2 + 2 + v + 0*v. Let k be t(0). What is d in -1\/4*d**k - 1\/4 - 1\/2*d = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 7:39 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 8*h - 376. Calculate the remainder when h is divided by 5\/30 - (-143)\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68574104 take away 3027502?\nAnswer: -71601606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 3. Suppose 1 = 2*a - 1. Suppose 98 + 1 = 9*g. Solve -d*v + g - a = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 43. Calculate z(-13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 10. What is m(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*d + 404, -d - 126 = -2*i + 76. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k + 7. Let b be f(-1). Calculate the highest common divisor of 496 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1044423 - 243004?\nAnswer: 301414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2994133 and 65\/11098?\nAnswer: 185636246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7882833 is divided by 2197.\nAnswer: 2194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.426 * 12296.2\nAnswer: -5238.1812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -3141?\nAnswer: 3144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 125*b - 1258. Let i be k(10). Let t(n) = -n**3 - 5*n**2 + 23*n - 14. Determine t(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19)\/(38\/3)*(-14)\/1. Let w be 1\/2*(188 + -6). Calculate the highest common factor of w and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -424.8, -0.1 in decreasing order.\nAnswer: 4, -0.1, -424.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.72 - -0.72. What is the nearest to v in -3\/107, 0.3, 2\/5?\nAnswer: -3\/107","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 26 = 5*d - 2*w, 20 = 2*d - 4*w. Let c(l) = -l**2 + 9*l + 12. Let z be c(d). Let g = -29 + z. Solve -2*x - 15 = 3*x + 3*h, 0 = g*x - 2*h + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5632691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - f - 25 = 0, -c + 3*f - 2 - 1 = 0. Let m(r) = -r**2 - 8*r. Let z be m(c). What is the remainder when 16 is divided by (z\/16)\/((-1)\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*(102 - 2). Suppose -3*x - 2*s + c - 16 = 0, -4*x + 42 = 2*s. Calculate the remainder when 15 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5542865.\nAnswer: 5, 1108573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13410 = -5*f + 5*d, 3*f + f = -5*d + 10719. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + -1 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 191. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let u(l) = 273*l. Suppose 11 = i - 4. Let m(j) = 14*j - i*j + 18*j. Let y(r) = -65*m(r) + 4*u(r). Calculate y(n(k)).\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 171432*b - 1028602. What is y(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7282.45 - 7904. What is w rounded to the nearest 10?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 4*r + 75. Let o(j) = -j + 1. Let u(p) = d(p) + 5*o(p). Let k be u(0). Suppose -i + 3*z - 1 = 3, 5*i - k = -5*z. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 8242760?\nAnswer: 65942080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -38. Let r be 2\/(d\/(-74)*4). Let x = r + 39. Solve -4 = x*l - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**3 + 851*h**2*p**2 + h**2*p + 14*h*p**2 + 790*p wrt h.\nAnswer: 18*h + 1702*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194071.\nAnswer: 194071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*d - 31*d**2 - 13*d**4 - d**3 - 28*d**2 + 91*d**2 - 29*d**2 to q*d**4 + b*d**2 + c + a*d + j*d**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + z - 3*z)*(-11 - 12 + 7 + (-2 + 3 + 0)*(-3 - 1 + 2) + 4 - 2 + 0 + 1 + 5 - 4 + 2 - 6 + 3) as s*z + m and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*s - 79985 = 0, 0 = -2*x + 3*x - 4*s - 19970. Suppose 4*m + 6*m + x = 0. Let q be 320*(-2 + 3 - m). Round q to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (117 + 10 + 188)*(3*p + p**2 + p**3 - 3*p) to w*p + r*p**2 + s*p**3 + c and give s.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 1. Let z be j(3). Let p be -3 - (1 + (z - -1)). What are the prime factors of (-60)\/p*2\/(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1798 + -3167. Let c = 1369.001526 + x. Round c to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/1849 and (14\/63)\/(30\/2259) - (-3)\/5?\nAnswer: 5547","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/sqrt(4))\/sqrt(3))**2 - sqrt(325)*-5.\nAnswer: 13 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2605 in 3, -3, 76, 5\/2, -2?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 24, -20.\nAnswer: -25, -20, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 plus 26804223607?\nAnswer: 26804224049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(612) - (sqrt(612) + sqrt(612) + 1))*-6*6)**2 + 0.\nAnswer: 62208*sqrt(17) + 3177792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 31\/4. Suppose -5*d - 3*z + 4 = 0, z - 6*z = 2*d - 13. Let i = -59.1 - -59. Which is the nearest to -3\/7? (a) i (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73471 is divided by 440.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182.62 + 182. Let i = 0.774 + p. Round i to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2408 - 35*d - 2408 + (-6*d + 2*d + 2*d)*(3 + 1 - 5) - 37*d - 154*d + 99*d)*(d + 2*d - 2*d)*(4 - 5 - 3) as n*d + x*d**2 + z and give x.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccwwww. Give prob of sequence wc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42690?\nAnswer: 2, 3, 5, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.952 plus 0.101?\nAnswer: 1.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 266062193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + h - 5 = 0, -3 = -i + 4*h - 8. Let c(u) = u**2 + 11*u + 5. Let b be c(-11). Solve i*d - 2*x + 3 = 4, 20 = b*x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224158989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**6\/33 - 40*y**5\/11 - 2785*y**4\/22 - 28780*y**3\/33 - 27260*y**2\/11 - 35344*y\/11 + 1190. Factor n(s).\nAnswer: -2*(s + 2)**3*(s + 47)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -91 (b) -0.4 (c) 204 (d) 1\/8 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (sqrt(187) - (-2*sqrt(187) - sqrt(187))))*-3 - sqrt(187) - sqrt(187) - sqrt(187))\/(2*sqrt(11)*5).\nAnswer: -9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from zmrcmmcmmjrzmmm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44)\/(-12) - (-4)\/(-6). Suppose 3*j = 2*n + 393, -n - 393 = -q*j - 0*n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7925 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1176*l**2 - 56*l - 333. What is the hundreds digit of s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4194 + -893324\/213. Which is bigger: a or -2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 683*b + 4653. Determine j(-7).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116044499 bigger than 116044496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 1330689.\nAnswer: 27944469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (12\/54)\/(13\/(-13))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 - 7. Let s be b(8). Let x = s - -201. What is x rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3 + 180)\/(-1))\/(-3). Let c(v) = -v**2 - 10*v - 1. Let u be c(-5). Suppose y - u = h. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16318 and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1313)\/39)\/((-300)\/(-900))?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 7 = -18*g. Suppose 33 = g*l + 5. Let d(a) = -3*a + 17. Let x be d(3). Solve 16 = -4*t - l*s, 3*s - 4*s - x = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 66\/(-4)*-2*(-6)\/9. Calculate the common denominator of -28\/27 and (-10)\/15 + (-52)\/s.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 0*d + 6*d - 6 - 14*d. Let h be o(-1). Factor h*y + 1\/4*y**2 + 4.\nAnswer: (y + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23250067 - 23250068.20000036. Let q = -1.2 - a. Round q to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -521951 + 521963. Let p(v) = 2*v**2 + 4*v - 3. What is the smallest common multiple of p(4) and n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 213, -115, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 23*g**2. Let f(p) = 2490140*p - 3. Determine f(a(q)).\nAnswer: 57273220*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -23*u**3 - 11*u**2 - u - 4. Give r(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*w - 497, q = 4*q + 4*w - 457. Suppose 9*c = 654 - q. Calculate the highest common factor of 22 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - 20*u**3 - 196*u**2 + 192*u**2 - 2*u**5 + (1 + 2*u**3 - 1)*(-3*u**2 - 3*u + 3*u).\nAnswer: -8*u**5 - 21*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-14*3\/(-2). Suppose 5*l = -2*r + 20 + 4, 4*r - 5*l - 18 = 0. Let j = 70 - r. Calculate the highest common factor of a and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310521, 620680, 930839, 1240998?\nAnswer: 1551157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -42 (b) -4\/13 (c) 34\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29396\/(-51443)*2\/((-20)\/(-7))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 3:40 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = 15*g + 32*g. Let k(z) = 7*z + 2*z**2 - 10 + 2*z**2 + 3. What is the tens digit of k(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 0, -2\/7 in decreasing order.\nAnswer: 0, -2\/7, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - l + 0*l - 17 = 0, -l = 5. Suppose -y*s + 15 = 2*s. Solve 2 = s*i - i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/9 + 8*k**4\/9 - 10*k**3 - 24*k**2 + 120*k = 0. Calculate k.\nAnswer: -6, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.1 (b) -5.87 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*j = -739 + 1411 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -66. Suppose -3*k - 5*n + 20 = 0, 0*k - 5*k + 2*n - b = 0. Solve 2*g = -k*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*g - 5*y, -3*g - 5*y - 6 = -2*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 4*x**2 + 11*x - 8. Let k be l(4). Let t = k + 90. What is the hundreds digit of 1124\/8 - ((-3)\/t + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -307 + 328.16. Round h to 0 dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -64, 46, -0.3?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2)*-1)\/2. Let q = 1\/12 - x. Factor -2\/3 - q*o**2 - o.\nAnswer: -(o + 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 269 + -118. Solve -j*h - 8 = -155*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 2479541?\nAnswer: -2479540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttdnvrn. Give prob of picking 2 t, 1 d, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 731 times 1.8?\nAnswer: 1315.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**6\/120 + v**5\/6 + v**4\/24 - 2*v**3\/3 - 45*v**2. Let r be x(10). Let k(q) = -q**2 + 6*q - 4. Give k(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33223*-0.4\nAnswer: 13289.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*l + l**2 + 33*l + 18*l to z + y*l + v*l**2 and give y.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -3*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 937089*d**5*i + 2*d**5 + 2*d**2*i - 784*i + 1 wrt d?\nAnswer: 56225340*d**2*i + 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**4\/20 - 14*f**3\/5 + 87*f**2\/10 - 2*f - 75. Suppose n(a) = 0. Calculate a.\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 6 + 6 + (4*d - 4*d - 2*d)*(-2*d - 3 + 3) - 7*d**2 - 8*d**2 + d**2)*(-3*d**2 - 3*d**2 + 3*d**2).\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -1 (c) -1\/14 (d) 2\/3 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 43. Let p be (104\/65)\/(d\/(-20)). Calculate the highest common divisor of 24 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1976, -7836, -17602, -31274, -48852?\nAnswer: -70336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14964 + -10498. Suppose 0 = -5*r + w + y, -7*w = -2*w + 5. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559 + 130*f + 7*f**3 - 559.\nAnswer: 7*f**3 + 130*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 3*n**2 + 2 + 0*n**2 - 3*n - 4*n - 2*n**3. Is b(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 7*o**5\/15 - 13*o**4\/6 + 4*o**3 + o**2 + 44. Factor f(v).\nAnswer: 4*(v - 1)*(7*v - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from ekekqqdedxxdk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 6*y - 8. Let x be t(6). Let w = x - -9. What is the common denominator of (-745)\/60 + w\/(-3) and 37\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4437935264 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 9*m**2 + m + 7. Calculate i(8).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47374 + -1989853\/42. Find the common denominator of r and 139\/360.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, r: 2, b: 8, l: 6}. What is prob of picking 3 x and 1 l?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/31, -1, -2\/7, -0.3, -8.6 in decreasing order.\nAnswer: -2\/31, -2\/7, -0.3, -1, -8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 345*j**2 + 36*j + 1. Let q(z) = -26*z. Give d(q(n)).\nAnswer: 233220*n**2 - 936*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(14\/16*8)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -19*q**2 + 293*q + 608. Let z(w) = -140*w**2 + 2050*w + 4255. Let i(g) = 15*a(g) - 2*z(g). Factor i(f).\nAnswer: -5*(f - 61)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 40 = -4*m, 0 = m + 2*m + j - 25. Let q = m - 5. Factor 0*k**q + 0 + 1\/2*k - 1\/2*k**3.\nAnswer: -k*(k - 1)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 3928 = 3904 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.266766m?\nAnswer: 3266766000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w**2 + 84. Let z be l(0). Let h = 153 - z. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*a - 57*a**2 + 11*a**2 - 81*a**2.\nAnswer: -127*a**2 - 384*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 5. Let j = 6 + -10. Determine w(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/19)\/z)\/(z\/z**(-4\/15)))\/(z*z\/((z*z**3)\/z*z)*z*z**(2\/25)) assuming z is positive.\nAnswer: z**(-2069\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d**4 - 6*d**2 + 3*d**2 - 12*d**4 - 1 + 0*d**4 as m*d**3 + t*d**4 + h*d**2 + y*d + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - 23. Let u = 21 + f. Let m = -8 - u. Put -1\/7, m, 4 in decreasing order.\nAnswer: 4, m, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74077710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) -0.057 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.99.\nAnswer: -4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**8\/1512 + h**7\/135 - h**6\/90 - 41*h**5\/135 + 5*h**4\/108 + 25*h**3\/9 + 1224*h**2. Determine m, given that i(m) = 0.\nAnswer: -5, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 425520 and 9456.\nAnswer: 425520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668013715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*s**2*x**3 + 4*f*s**2*x + 12064217*f*s**2 - f*s*x**3 - 2*f*s*x + 5*f*s - 3*f*x**2 - s*x**2 - 84*s + 3062*x**3 wrt s.\nAnswer: -4*f*x**3 + 8*f*x + 24128434*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + x - 1. Let s be v(1). Is 13 a factor of 0 - ((-111)\/3 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*f - 229 = 170. Which is the nearest to f? (a) -3 (b) 5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34567 + 34566.7. What is the closest to 1.9 in -62, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*w + 3, -2*w = -5*d - 8 + 3. Let k be d - (0 + -2)\/2. Sort k, 4, 3.\nAnswer: k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 2*p**2 - 2595. Let z(j) = 104*j**2 + j. Give v(z(k)).\nAnswer: 416*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1529 times -152\nAnswer: -232408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + ((-912)\/38)\/((-20)\/6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -8*u**2 + 7*u + 21*u**4 - u - 6*u**4 - 18*u**3 - 19*u**2 = 0.\nAnswer: -1, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 5\/3*f**3 + 0 + 3\/2*f**2 + 2*f. Is r(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 157 and 2041.\nAnswer: 2041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 5:10 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*s**3 - 51\/2*s + 27\/2 + 21\/2*s**2.\nAnswer: 3*(s - 1)**2*(s + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2265, 2, 5, -15, 0, -107 in ascending order.\nAnswer: -2265, -107, -15, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1468 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*1 + sqrt(931))*1 - ((sqrt(19) - sqrt(95)\/sqrt(5))*-2)**2*-6.\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2604 is divided by 82?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 773859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1897)\/(-2439))\/(8\/288).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssgssgssgs. What is prob of picking 2 g and 1 s?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003285114 rounded to 6 dps?\nAnswer: -0.003285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 12:59 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = 21*b - 40 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -158\/41 or -5?\nAnswer: -158\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1fe8a + 6e?\nAnswer: 1fef8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = r - 307, 3*v - 2*r = -v + 416. Suppose 20 = 4*m - 0*m. Suppose -v = -m*o + 62. Solve 0 = -2*j + 2*g + 1 + 17, 0 = 5*j - 2*g - o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brbb when four letters picked without replacement from wrbbrswwrbwfrwrwwwbr.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 1:47 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*y**3 + 9 + 33*y + 6*y**3 - 57*y + 24*y as d + c*y**3 + l*y + n*y**2 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 77.29\nAnswer: 1.5458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -119.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-21)*(-1 + 0). Let j = 1687\/8 - 211. What is the third smallest value in j, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 93199755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 32 = 3*j + 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 116 = 3*r. Let l be (-2)\/(-9) - 50\/r. Suppose 0*g = -l*g + 201. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**3 - h**2 - 2*h - 3. Let p be m(3). Let n(r) = r**3 - p - 64 + 6*r**2 + 124 + 2*r. Calculate the least common multiple of n(-5) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5 + 180*f**4 + 129*f**3 - 2880*f**2 - 2832*f = 0. Calculate f.\nAnswer: -59, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/20 and 4\/(-2) - (-750)\/84.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-6) + 2500\/30 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 12746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -94 - -91 - ((6 - 2) + 2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-10\/7)*v*v**(-4\/13)*((v*v**7*v*v)\/v)\/v**(-9) assuming v is positive.\nAnswer: v**(1571\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -58a0 (base 15) in base 16?\nAnswer: -4989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, q: 3}. Give prob of picking 2 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2102.777 + -4833.\nAnswer: -2730.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7751 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 899*f**2 + 765*f**2 - 301*f**2 + 1507*f**2 - 532*f**2.\nAnswer: 2338*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -633.7155 + 634. What is l rounded to two dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 > -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*q - 315173 + 3323430. What are the prime factors of q?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 6. Let m(u) = 1. Let a(t) = l(t) - 2*m(t). Determine a(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 92\/3. Which is the third smallest value? (a) 4 (b) 0 (c) 5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3515*s - 3536*s + 6342. Calculate the remainder when s is divided by 78.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -696 divided by 4\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228261 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1650 + 2405. Calculate the remainder when 1513 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*f = 28, -y + 3*f + 11 = -3. Let j(r) = 2*r + 4*r**y + 4*r - 4*r + 1. Give j(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j\/(j\/(j*j**(-4\/9)\/j)))))**(-34)\/((j*j\/(j*j\/((j**(-4\/7)*j)\/j)*j*j)*j*j*j)\/j**(-10\/9)))**(-4\/27) assuming j is positive.\nAnswer: j**(572\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 3*c**2 - 2*c + c**2)*(-4*c + c + 6*c).\nAnswer: 6*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 572.243 - 1.243. Let k = q + -568.69. Round k to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-294)\/114)\/(69\/1311).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261 (base 7) to base 9.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.35 (b) 1 (c) -6.2 (d) 1\/6 (e) 5 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107379759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/17378 and -79\/17378?\nAnswer: 17378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 10*r**2 - 11*r + 2. Determine p(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23)\/30 + (-3)\/(-6). Suppose 4*b + 0 = -4. Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3626625 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/7? (a) -6 (b) -4 (c) 1169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+2146\nAnswer: 2145.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17864 divided by 44?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -235417*v**3 + 18*v**2 + 128*v + 2 wrt v?\nAnswer: -1412502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4537? (a) 2\/9 (b) 12 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017 rounded to 6 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -430 + 863\/2. Let n = -17 + 18. Put n, q, -0.14 in descending order.\nAnswer: q, n, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3629746)\/9321100 - ((-407)\/1122 + (-2)\/(-6)).\nAnswer: -9\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ca (base 15) to base 6\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/15512 and -10\/119.\nAnswer: 263704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*q + 87 + 425 + 112*q - 512.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 8*r**3 + 1524 - 4579 + 9*r + 1525 - 2*r**4 + 1528 + 2*r**2 to the form a*r**2 + c*r + z*r**3 + t*r**4 + l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 528 and 1456368.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.64943 times -4?\nAnswer: 2.59772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 176*r**5\/5 - 2*r**3 - 2*r**2 - 76. Find the third derivative of n(q) wrt q.\nAnswer: 4224*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -26\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (0 - (-1 + 5)))*4\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.299 rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20199457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, b: 3}. Give prob of sequence lbl.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - -32 - (-2 + 2 - -1 - -16).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -50\/11 (c) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 270?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 3 - 6 = -3*r, -3*r - 12 = -2*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 3*m**2 - 2*m - 8. Let j be v(-6). What is the highest common factor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Let p = 891\/5707 - 1\/439. Which is the closest to -0.9? (a) h (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t + 8*t)*((2 - 2 - 1)*(3*t**2 - 8*t**3 - 3*t**2) - 7*t**3 + 10*t - 10*t) + (3 - t - 3)*(-4 + t + 4)*(2*t**2 - 6*t**2 + t**2).\nAnswer: 13*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**39*f)**(2\/3) assuming f is positive.\nAnswer: f**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -20. Suppose 24*v = 20*v + 20. Which is the second smallest value? (a) f (b) v (c) 2\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47370350 and 17053326?\nAnswer: 426333150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + (-5 + sqrt(1088) + sqrt(1088))*3 + 3 + (sqrt(1088) - (-2*sqrt(1088) + 4)) + sqrt(1088) + sqrt(1088) + 2)**2.\nAnswer: -4048*sqrt(17) + 132177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4\/4 + 7596288*i**3 - 45577722*i**2 + 91155440*i - 60770292 = 0. What is i?\nAnswer: 2, 30385146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = 30*w - 98*w + 34 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(3645) + -1*(0 + sqrt(3645)) - (sqrt(3645) + -1)*6) + -5)**2 + 4.\nAnswer: 648*sqrt(5) + 131228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (268\/36 + -7)*9. Suppose u - 12 + n = 5*s, u - 24 = -3*s. What is the smallest common multiple of 10 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3268673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 7 - 4)*(c - 7*c - c) to y + o*c and give o.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 581328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6 + (-108)\/(-16))*1\/(36\/(-1016)) and (2\/69)\/(8\/570)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*i**3 - 4*i**2 - 20*i**2 + 75*i**3 + 24*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -8 + -1 + (1 + 2 - (12 - 72)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnnt when four letters picked without replacement from {b: 2, m: 1, t: 9, n: 2}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316722 is divided by 307.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**5\/60 + p**4\/36 - p**3\/9 - 95*p. Find y such that s(y) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 239.46 - 239. Let l = 0.46305 - u. What is l rounded to four dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 91, 0.4, 0.6, -3?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = -5*o + 26, -2*o = 5*p - 12 - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 583, 1172, 1761, 2350?\nAnswer: 2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(112) + (sqrt(112)*2 + -1 - sqrt(112)) - (sqrt(112) + 0 + 1)) + 1))**2.\nAnswer: -200*sqrt(7) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 4*h**2 - 5*h + 4. Let a be b(3). Let t(d) = -5*d**3 + 4*d**3 + 21 - 10*d - 4 + 10*d**2. What is the tens digit of t(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3580 divided by 20?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000867963 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + l - 1. Let h(y) = 2*y**3 - 4*y + 1 + 4 - 1 - 5*y**3 - y**5. Let s(w) = -3*h(w) - 12*u(w). Factor s(p).\nAnswer: 3*p**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 616*a - 2467. Calculate z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-15)*(s\/((s\/(s\/((s*s**13)\/s)))\/s)*s)\/s)\/(s**5*s**(-11)*s))**(-41) assuming s is positive.\nAnswer: s**861","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14*p**3 - 5*p**2 - 3. Let f = -14 - -10. Let w(u) = -u**3 - u**2 - 1. Let x(y) = f*w(y) + g(y). Determine x(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o - 0. Let d be o\/(3\/(15 - 3)). Factor -6*x**4 + 10*x**d - 3*x**5 + 8*x + 12*x**3 - 20*x**2 - x**5.\nAnswer: -4*x*(x - 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 903523056 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1879971554?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, 9, 34, 79, 150, 253, 394?\n\"Answer: v**3 + v**2 + v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v + v - 3*v)*((-3 + 0 + 4)*(0 + 4 - 3) - 2 - 1 + 5 + 0 + 0 - 2 - 76 + 141 - 80).\nAnswer: 196*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - a = 8, -a = -3*a. Let j be (-5)\/2 + g\/(-4). Does 8 divide (2 - 0)*(j + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 s when four letters picked without replacement from {z: 5, q: 3, e: 7, s: 2}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 160\/8*(-2)\/(-2). Suppose x - z = -4*x. Which is the third biggest value? (a) 1\/8 (b) 1\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtqvtvttq. Give prob of sequence qqvq.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -7*b + 60. Let w be ((-414)\/(-30))\/(-1*(-2)\/b). Let y = w - 46. What is the greatest common factor of 115 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226746 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13004005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -1\/8 (c) -2.0897 (d) -0.4 (e) 4 (f) -0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 34\/170 + (-29)\/20?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + 30*m**2 + 3*m**2.\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/35)\/((-2)\/(-5)). Let f be 24\/(-2)*l\/(-6). Solve -c - 3*x - 2*x + 18 = 0, -4*c = -f*x + 24 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**5\/30 - 598*j**2. Let o(t) = -28*t. Let l(x) = -9*x. Let v(n) = -11*l(n) + 4*o(n). Give v(d(z)).\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/25 - 18*u**2\/25 - 16*u\/25.\nAnswer: -2*u*(u + 1)*(u + 8)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6988196?\nAnswer: 2, 59, 29611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) 1 (b) -299\/7 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 0.2 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4090 - -4095. Let p be (-182)\/6 + 12\/(-4). Let r = 33 + p. Put -1, r, s in descending order.\nAnswer: s, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2) - -3 - 10. What are the prime factors of (-86)\/n + 6\/(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let f be s(9). Let x(q) = 17*q - 8*q - 19*q - q**2 + f. Does 17 divide x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 4. Let r = 107 - 104. Calculate the remainder when z(5) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4))**2 + -2 - (4 + sqrt(3) + 2).\nAnswer: -5 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ooloolooo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 781542 - 71542 = -z. What is z rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -i + 57, 2*l - 48 = -0*l - 4*i. Suppose 689*n - 685*n + 632 = 0. Let c = n - -170. What is the remainder when l is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*b + 4. Suppose 4*g = x + b*x - 1, 5*g = 10. Suppose 6*h = x*h + 60. Calculate the remainder when h is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 471 + -333. Suppose 2*s = 2*r + a, s + 3*r + 41 = 114. What is the remainder when s is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205.2687l to millilitres.\nAnswer: 205268.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - -4018?\nAnswer: 3884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 294\/(-13622)*(-6)\/(-9).\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.14, 1\/5, 0.3.\nAnswer: -2, 0.14, 1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - ((-22)\/(-13))\/(-2). Let r be (-2)\/(-3)*((-32)\/(-56) + -1). What is the nearest to -2\/5 in o, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101689963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.813723 minutes to microseconds.\nAnswer: 408823380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 + (0 + 0 - -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/2))\/b)**48\/(b\/(b*b**4)*b**(-1))*b*b*b**(-6)*b\/b**(-2)*(b*b**1)**(5\/16) assuming b is positive.\nAnswer: b**(229\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 798 = 525. Suppose k*i = 434*i + 133. What is the remainder when 72 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -74527, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 20*u + 15. What is h(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2173? (a) -4 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*((-8)\/36)\/((-864)\/1458)*2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - m**2 + m + 6. Let v be g(0). Suppose v*o = o + 10. What are the prime factors of ((-3)\/5)\/(o\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*x + 43, -2*x + 44 = 3*o - 6*x. Let h = o + -11. Let z(n) = -n**3 + 6*n**2 - 7*n + 5. What is the lowest common multiple of h and z(4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - s**2 + (2 - 2 - 2*s)*(-2 + 2*s + 2) - 2 - s**2 + 2 + 4*s**2 - 6*s**2 + 4*s**2 - 2*s**2 + 1 - 1.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + l**3 - 7*l**3 + 7*l**3. Let n(o) = -o. Give -3*n(d) - 2*q(d).\nAnswer: -2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.99 - 0.01. Let n = 5.07 + -0.07. What is the closest to 2 in 3, f, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(60)\/(-1*sqrt(12)))**2 - (1*sqrt(405))**2) + 4)*-6.\nAnswer: 4752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4647.\nAnswer: 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*p*s - 2*s - 13 wrt p.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 - 107. What is the lowest common multiple of t and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*4*(sqrt(114) - (sqrt(114) + (sqrt(114) - (-2*sqrt(114) - sqrt(114))))))\/(sqrt(96) - 4*sqrt(96)*2 - sqrt(96)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5\/7 + 5*l**4\/7 - 4*l**3\/7 - 16*l**2\/7 + 32*l\/7 - 16\/7.\nAnswer: -(l - 2)**3*(l - 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 9*s**2 - 5*s + 2. Let j be m(5). Let d = -2 + j. Let a(k) = -12*k - 3. Let y be a(-1). Solve 2*l + 3*r - y = 0, -l - 3*r + 6*r = d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2.4, -2 in descending order.\nAnswer: 0, -2, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/8 + (-3)\/(-12). Suppose 5*n + 3*s - s = 23, -4*s - 19 = -3*n. Solve -n*t - 20 = -l - 0*l, x*t = -2*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 - 171*c\/2.\nAnswer: c*(c - 342)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - m + 9, -17*m + 16*m = -2*q + 15 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -42*v**2 - 14*v - 11. Let n(p) = -14*p**2 - 5*p - 4. Suppose -61*s + 6*s = -220. Determine s*o(u) - 11*n(u).\nAnswer: -14*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*n**3 - 24*n**2 + 35*n**3 + 24*n**2.\nAnswer: 118*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 8:24 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000120752 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 6*y**2 - y. Suppose 0 = -3*f + 2*c - 3 - 7, c = 5*f + 26. Let s be h(f). Suppose 3*b + 381 = s*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11701721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1111 - 11000330?\nAnswer: -11001441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61 and 15250?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2509, 2585, 2701, 2857, 3053, 3289?\nAnswer: 3565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*m**3 + 85010247*m**2 + 21252561*m = 0. What is m?\nAnswer: -7084187, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Let t = -1 + j. What is the greatest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -10*y**3 + y**2 + 8*y - 15. Is c(-5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-5) + 2\/5. Let h = -135 + 249. Let g = h + -118. Sort g, -5, u in decreasing order.\nAnswer: u, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/195, -2, -3, -2\/9, 4, 0.2 in increasing order.\nAnswer: -3, -2, -2\/9, 2\/195, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43552 (base 9) to base 8.\nAnswer: 70323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*(6\/(-2) - 2). Let t = -66 + v. Let c = t - -28. What is the greatest common factor of c and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 minutes before 10:25 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1479643 + 1456678 = 213*a - 806728. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6303*x + 12618*x + 507 - 6354*x - 507 - 4*x**2.\nAnswer: -4*x**2 - 39*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 4*x + 2. Let l be a(4). Let h be (4\/8 + l)*2. Solve -h*u + 5 = -0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a2 (base 13) to base 10.\nAnswer: -639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364680515?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.72052 rounded to 1 dp?\nAnswer: -12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**4\/2 + q**3\/2 + 2*q. Find the second derivative of r(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116130 times 0.5\nAnswer: -58065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 + 2*m**3 + 1 + 37*m - 3 - 107*m in the form p*m + y*m**2 + k + t*m**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + n - 5. Suppose -6 = 2*q - 5*q. What is the least common multiple of q and 2*(n + 3\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38*(-25)\/100*-2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**4 - x**3 - 1092565*x**2 - 110586*x + 1.\nAnswer: 24*x**2 - 6*x - 2185130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {x: 8, j: 2, v: 2, k: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -4036.\nAnswer: -4031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13455)\/(-270) + (-338)\/(-156)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(78)\/sqrt(3))\/sqrt(2).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-556) - 1644850\/(-477743))\/((-20)\/(-14))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -881*a - 639. Calculate the remainder when p(-10) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzvnav. Give prob of picking 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -1\/3*m**3 + 0*m**4 + 1\/10*m**5 + 38*m - 1\/5*m**6 + 0 + 55\/2*m**2. What is the second derivative of b(y) wrt y?\nAnswer: -72*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -680.8?\nAnswer: 204.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2 + 21616*l + 21620 = 0.\nAnswer: -1, 5405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 12:27 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930161516.\nAnswer: 2, 2837, 81967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-31320)\/(-1890))\/(90\/21))\/(4\/20)?\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2527269494 and 0.3?\nAnswer: 2527269494.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*i + 3*h, i - h = 2*i - 1. Suppose -t - 15 = -5*d, i*d + t - 22 = -t. Suppose -d*z = z - 85. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f**7\/f)\/f*f)\/f)**(-20))**(3\/5))**9 assuming f is positive.\nAnswer: f**(-540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776*s + 2413 + 44 = -2975 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081571593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, e: 3, v: 2, q: 2}. What is prob of sequence vdvd?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 203?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11*p**2 + 6*p - 9. Suppose -108 = -105*h + 417. Let s(b) = -5*b**2 - 3*b + 4. What is h*s(v) + 2*y(v)?\nAnswer: -3*v**2 - 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5+208910599071\nAnswer: 208910599076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5 + 80699*q**3 + 4 + 4 - 80698*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1340 or 1482?\nAnswer: 1482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z**3 - z**2 - 4*z - 5. Suppose -40 + 8 = n + 4*l, -l = -4*n - 9. Let h(d) = 20*d**3 - 3*d**2 - 11*d - 14. Determine n*h(a) + 11*i(a).\nAnswer: -3*a**3 + a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 237810*n + 237811*n - 3 - 2 + 24*n**2.\nAnswer: 24*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 4:27 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/391882257 and -43\/207.\nAnswer: 391882257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 241, 1032, 2419, 4456, 7197, 10696?\n\"Answer: 9*w**3 + 244*w**2 - 4*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*((-33)\/(-18) - 2). Let s(o) = 64*o - 828. Let m be s(13). Sort i, 0.4, m, -0.5 in decreasing order.\nAnswer: m, i, 0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 18. Suppose 3*u - 26 = 2*u. Let d = 34 - u. What is the lowest common multiple of d and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**3 - 7*v**2 + 7*v - 5. Let c(a) = -a**3 - 3*a**2 + 3*a - 2. Suppose 5*y + 5*l - 24 = 11, -2*l = 4*y - 20. Calculate y*h(w) - 7*c(w).\nAnswer: -2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (18\/(-16))\/(-1). Let w = 370.5 - 371. Let f = 29.1 - 28.8. Which is the third smallest value? (a) q (b) w (c) 8 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 122102 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -61*s**5\/20 + 215*s**3\/6 + 252*s**2. Differentiate a(w) wrt w.\nAnswer: -366*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111008411 divided by -1.\nAnswer: 111008411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 63.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10422 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 487, 1329, 2171?\nAnswer: 3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**2 + 7*x - 8. Let m(t) = 9*t**2 - 13*t + 15. Determine 6*m(y) + 11*s(y).\nAnswer: -y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 10*p**2 - 12*p + 10. Let q be u(11). Let n(x) = -6*x - 1. Let j be n(q). Solve -4*s + 2*r = 14, -r - 12 = j*s + 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655977 is divided by 163983.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -23 - (-10 - -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b - 0. Let w = -1 - -1. Suppose -230 = -b*j - w*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 5) to base 9\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -430270 and -341?\nAnswer: 429929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 - c**4 + 3*c**4)*(7 - 35 - 8)*(-3 - 2 + 4).\nAnswer: 108*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 11 (b) -1\/2 (c) -2\/61 (d) 1\/5 (e) 5 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 86.622. What is h rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 495*l**2 + 2*l + 525*l**2 - 2 - 3*l**2 + l**2 - 2*l**2 + (2*l - 2*l + 2*l)*(-l - l + 5*l).\nAnswer: 32*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -835 or -833?\nAnswer: -835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*r = -159*r - 44. Let h(a) = -2*a**3 + a + 2. Let u be h(-2). Suppose r*y - u*y = -1895. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 51, 66, 1, -186, -537, -1094?\n\"Answer: -7*d**3 + 2*d**2 + 58*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 p when three letters picked without replacement from {y: 2, d: 1, h: 3, m: 1, p: 3, o: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*i**2 - 52*i**3 + 21*i**2 + 103*i**3 - 57*i**3 - 5*i + 8 to j*i**3 + f*i + h*i**2 + a and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6209036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/1566*-3*-24.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-1521)*-26*1\/116*-6?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 9*q + 2 = 0. Is -6*(q + (-114)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 34*g**2 - 7*g - 115. What is the thousands digit of o(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 3) to base 5\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*n + 4, -t - n + 8 = 2*t. What is the second biggest value in 6, t, -3\/2, -2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1039616 and 129952.\nAnswer: 1039616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 117 (base 15) to base 13\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 3*w**3 + 10*w**4 - 552*w + 8*w**4 + 552*w in the form r*w**4 + o + b*w**3 + f*w + u*w**2 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33730.33um to meters.\nAnswer: 0.03373033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 5. Is -0.2 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h - 4*h - 3 - h + (19 + 18 - 9)*(-h + 0*h - 3*h).\nAnswer: -124*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -3*f**5\/20 + f**4\/6 - f**3\/3 + f**2\/2 - 4*f. Let q(a) = -a - 6. Let x be q(-7). Calculate w(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-6)*3*2. Suppose -5*r + a + 0 = 0. Suppose -4*n + r*d + 233 = 0, -2*d - 171 = -3*n + d. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.094 bigger than 675\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23498 in -12, 2, -0.011?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 9*a - 6. Let q be b(-10). Calculate the common denominator of (-1 + 10\/q)\/((-12)\/(-23)) and 39\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29180, -52, -5, 1, -3 in decreasing order.\nAnswer: 1, -3, -5, -52, -29180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121778 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5 - 9*j**4 + 30*j**3 = 0. Calculate j.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*l**2 + 90*l**2 + 92*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 28539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6)*(-12)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -20*t**2 - 22*t + 144. Determine z(3).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.95026us to seconds.\nAnswer: 0.00001295026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 491, 1664, 3953, 7730?\nAnswer: 13367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -579\/1253 - -6\/179. Let r(t) = 2*t**2 - 6*t. Let c be r(4). Let g be ((-12)\/c - -1)*0. What is the nearest to g in 0.5, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3381 is divided by 154.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/507385 and 1\/4059080.\nAnswer: 4059080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -133217 from -146425.\nAnswer: -13208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 369*k + 3 + 0 + 371*k - 3*k**3 - 1. Let o = -3 + 5. Let j(n) = 6*n**3 - 5*n**2 - 5*n - 5. Calculate o*j(q) + 5*g(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + 7 + -26 + -21.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjvv when four letters picked without replacement from {j: 3, v: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**4\/24 - z**3\/12 - z**2\/2 + 276*z. Factor k(g).\nAnswer: (g - 2)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -3*n**4\/32 - 5*n**3\/4 - 9*n**2\/4 + 27*n + 561. Find w such that t(w) = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1312*s + 7496 + 12165 = 6541 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rggrlriglt. Give prob of picking 1 r and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, d: 6, a: 4}. What is prob of picking 1 a and 3 d?\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 302, 701, 1234, 1889, 2654, 3517?\nAnswer: 4466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q**2 + 108 + 148 + 113 - 369. Let x(m) = -15*m**2 - 5*m. Determine x(u(z)).\nAnswer: -1215*z**4 + 45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 23329*v + 23331*v = -3, 5*k - 15 = -2*v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*0.035\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*u - 0*u - 31680. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7773604 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7345 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 299.546 + -2.246. Round b to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112320 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -11*w + 1. Suppose -3*l - 12 = 5*x - 0, 0 = -3*l + 5*x + 18. Calculate d(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1500\/(-350)*(-8 - -1*10\/(-4)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - a - 12. Suppose 1 = -a*k - f + 74, 4*f = -4*k + 64. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.347 times -0.5?\nAnswer: -75.1735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170499 and 5540493.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrrrlrllrlrl. Give prob of picking 4 l.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 14, 54, 142, 296?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1265242.133 rounded to the nearest 10?\nAnswer: -1265240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 59790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 1457355696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -563, -1129, -1669, -2171, -2623, -3013?\n\"Answer: 2*u**3 + u**2 - 583*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (847 - 353*w + 836 - 1683)*(w**3 + 2*w**3 - w**3).\nAnswer: -706*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 50.16471 nanoseconds?\nAnswer: 0.00005016471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3437, 3430, 3417, 3392, 3349, 3282, 3185?\n\"Answer: -z**3 + 3*z**2 - 9*z + 3444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-114)\/133)\/((-1)\/(-21)). Let g = k - -30. Calculate the lowest common multiple of 252 and g.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1344 divided by 29248\nAnswer: 21\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/((-2783)\/88)*22.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/18)\/((-1076)\/7263)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 2. What are the prime factors of 3\/24*l*12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 23*q**3 + 3*q**2 - 5*q + 4. What is y(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b190 (base 15) in base 9?\nAnswer: 143770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.72*-2\nAnswer: 5.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5050*y**2 - 1962*y**2 - 2253*y**2 in the form u*y + s*y**2 + d and give s.\nAnswer: 835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -92440000 to the nearest 1000000.\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*d - 13. Let b be 566 - (-5 - -4)\/1. Let n be (0 + 1)*b\/d. Calculate the greatest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7 = -s + 20, 5*t + 2*s = -26. Let m(z) = z + z + 0 + 4 - z**2 - 10*z. What are the prime factors of m(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1267, -89 in decreasing order.\nAnswer: -15, -89, -1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422 = 35*d + 85*d + 1142. Let y(z) = 4*z + 1. Let l(o) = 2*o + 1. Let x(n) = 5*l(n) - 2*y(n). Give x(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 15 = 5*c. Suppose -c*n + 740 = -0*n. Suppose 153 = 7*l - n. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w**2 - 1. Let m(x) = 100*x**2 - 8. Calculate -28*j(p) + 3*m(p).\nAnswer: -8*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -981 + -4.\nAnswer: -985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 593628 divided by -49469?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205983 is divided by 41072.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000110892 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - -16 - 10 - -23 - (-15 - 2).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.49788*-0.8.\nAnswer: -1.198304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5029 - 2579. Suppose -m - 2410 + n = 0. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**6\/30 - c**5\/20 - c**4\/4 + c**3\/6 + c**2 + 10*c. Factor j(p).\nAnswer: (p - 2)*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3184 * 35.\nAnswer: 111440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(5) + 2*sqrt(5) + sqrt(5)) + 0 - (-2 + sqrt(117)\/(sqrt(9)*2 + sqrt(9)) + sqrt(13)).\nAnswer: -13*sqrt(13)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64284990?\nAnswer: 2, 3, 5, 7, 11, 17, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*(-2 + 26\/18).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 8:57 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*1\/(-4)*-24?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 + 43212242\nAnswer: 43212240.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -602*p - 143266. What is c(-238)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: 40210 (base 5) to base 3\nAnswer: 10111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8e8 + -923?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -6. Suppose 2*p + 16 = 2*a, -4*p + 3*p = 3*a - 12. Suppose -b + 0 = -2. Solve -x + h*x = -4*l + 16, a*x = -b*l + 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100010110001110000 + -100?\nAnswer: -1011100010110001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16523*5\nAnswer: -82615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 6*k**2 - 3*k - 3. Let g be r(-6). Let h(u) = -5*u**2 - 15*u + u**2 + g*u. Let x(i) = 2*i**2. Give h(x(s)).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:35 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 8*k - 15. Give r(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 6*o**2 - 6*o. Let r = -5 - -7. Suppose 4*l - 5*v = 17 - 1, 5*l = -r*v + 20. Let y be l*(-2)\/(1 - -1). Determine m(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**3 - 3*u**2 + 3*u - 7. Let t = 25 + -22. Let b(h) = -2*h**t - 2526*h**2 + 2 + 3*h**3 - h + 2527*h**2. Let o(s) = 7*b(s) + 2*r(s). Give o(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4713?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Suppose -i*m + 0*m + 10 = -2*s, -6 = 2*m + 5*s. What is the lowest common multiple of 0\/(-3) + 14 - 2 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y + 13 = -5*d, 3*y = -d + 7. Is 4 a factor of 472\/40 + d\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(65) + -1*sqrt(65)*1))\/(sqrt(3645)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 725975.6*2.\nAnswer: 1451951.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*g = -554 + 317. Let a(f) = -3*f - 3. Let w(t) = 5 + 0 + t - 3. What is g*a(k) - 5*w(k)?\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**2 + 2*s - 23. Suppose 22*x = 21*x - 2. Give z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 + -3?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 plus 49018.214?\nAnswer: 49046.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 849732.2 rounded to the nearest ten thousand?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 + -0.2. Which is the closest to 1? (a) v (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083490455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -219*v**3 - 3*v**2 - 2*v - 1. What is the tens digit of b(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mummmuummmu. Give prob of picking 2 u.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 2*x - 6. Let t be z(7). Suppose 102 = -d + t. What is the biggest value in 5, 0, 1, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 + 5*y + 3. Calculate v(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 3\/6*106. Calculate the common denominator of -89\/32 and (g\/45)\/((-4)\/(-3)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -1 - 1)\/(-1). Suppose -h + 9 = x*q, -2*q + 0 = -h - 1. Sort 5, -4, h in decreasing order.\nAnswer: 5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 11*t**2 + 12*t + 10. Suppose 4*m - 34 = q, -53 = -m - 4*m - 4*q. Let l be j(m). Find the common denominator of 6\/(-24) - (-23)\/l and 57\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 16*q - 30. Let k be m(18). What is the highest common factor of 24 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*q**2*s**3 - 42*q**2*s**2 - 24*q**2 + 110*q*s - 7*s**3 wrt s.\nAnswer: 252*q**2*s - 84*q**2 - 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -593, -1185, -1769, -2339, -2889, -3413?\n\"Answer: u**3 - 2*u**2 - 593*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 81 = 68. What is the nearest to i in 2, 2\/21, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011063 to five dps.\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2654638 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37392 and 15504?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 + 3*q**2 + 10*q + 106. Give l(0).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -7258, -1\/27 in ascending order.\nAnswer: -7258, -1\/27, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6526378*l**4 + 2*l**2*s - 8*s + 485843 wrt l.\nAnswer: -26105512*l**3 + 4*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 35 = -2*v - 16, 4*g + 28 = 4*v. Let y = 45 + -52. Let m = 12 + y. Which is the second biggest value? (a) m (b) 2\/13 (c) -4 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02447043 to 5 dps.\nAnswer: -0.02447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 5 + 16 = 0. What is the third derivative of -k*s**4 - s**4 - 4*s**4 - s**2 wrt s?\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.8724 - 0.0724. Which is the closest to m? (a) 3 (b) -2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j. Let l(p) = -105*p - 1043. Give w(l(u)).\nAnswer: -945*u - 9387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226 - -1781. What is the highest common divisor of f and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2361 * -0.3.\nAnswer: -0.07083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 4*m + 0 + 1\/3*m**4 + 2\/3*m**3 + 0*m**2. Factor g(s).\nAnswer: 4*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 11. Solve -12 = d*t + y, 0 = -4*t - 3*y + 2 - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 + -1.2. Let j = -2 - -1.5. Let b = t + j. Is 2 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 3*x + 3. Suppose 18*h - 17*h + 88 = 0. Let b be h\/(-66)*3\/2. Let a(g) = g. Let d(t) = b*a(t) + c(t). Determine d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 39 = -8*x. What is the second derivative of x*y - 32*y - 2*y**2 - y**2 + 4*y**2 wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -13 (b) 1.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*r - 2\/9*r**3 + 16\/9*r**2 + 0.\nAnswer: -2*r*(r - 5)*(r - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 479 + -60. Suppose 5*k = 3*f + 721, 3*k - 2*f + 7*f = j. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 - (-25 + 75 + -115).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -130\/7, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -343 + 627. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 215.83207 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**6*s - 19*q**3*s + 18794*q**3 - 17786*q**2*s + 2*q - 359*s wrt q.\nAnswer: -120*q**3*s - 114*s + 112764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 546*b + 2732*b to x + o*b and give o.\nAnswer: 3278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4589, -18456, -41589, -73988, -115653, -166584?\nAnswer: -226781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + 58. Calculate the remainder when (-342)\/3*2\/(-4) is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a hour in seconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a factor of 91661284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3486621760 to the nearest 100000.\nAnswer: -3486600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**2 + 10*h**2 + 0 + 9 - 11.\nAnswer: 20*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/255 and 91\/90?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*d**3 + d**3 - 6*d**3 + (-96 + 86 - 1127 + (-2 + 0 + 4)*(0 - 1 + 3))*(-1 + 1 + 3*d)*(d - d + 2*d**2) in the form r*d**2 + c + j*d**3 + v*d and give j.\nAnswer: -6811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -17. Let i(m) = -m**3 + 7*m**2 - 7*m - 5. Let o be i(s). Let c = o - -97. Calculate the remainder when c is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 23\/8 of a meter?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1. Let r = -0.3 + 3.3. Let x = r - 2.7. Put g, x, 2\/3 in ascending order.\nAnswer: x, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2120)\/(-318)*9\/(-15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2182673453, -2182673451, -2182673449, -2182673447, -2182673445, -2182673443?\nAnswer: -2182673441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 27, -1\/8, 103, -8, 3 in decreasing order.\nAnswer: 103, 27, 3, -1\/8, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, m: 5}. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/7 - 4512*o**3\/7 - 18016*o**2\/7.\nAnswer: -2*o**2*(o + 4)*(o + 2252)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 242 + -249. What is the second smallest value in b, -3, 1\/2, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 11258?\nAnswer: -1\/5629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 1 y when three letters picked without replacement from ccwcwywwoywcyocoocc?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-284*n + 41*n**2 + 284*n)*(2*n + 0*n + 0*n)*(-23*n + 57*n - 29*n) as o + w*n + u*n**4 + q*n**3 + z*n**2 and give u.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.17180943146 and 19385?\nAnswer: 19385.17180943146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 less than 28032783?\nAnswer: 28032830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -213 divided by -12787\nAnswer: 213\/12787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115294665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -21, -105, -243, -447?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57032 plus -0.0192?\nAnswer: 57031.9808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -69*o**4\/4 - 38*o**2 - 4. Find the second derivative of c(b) wrt b.\nAnswer: -414*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 14 + 2*n - 2*n - 2*n + 0*n. Let a be g(6). Solve f + 0*f + 2*t = 3, a*t - 9 = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*z - 19*b - 8*b + 58, 4*b = 5*z - 14 + 27 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 815558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 82364238 divided by -49797?\nAnswer: -1654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 8 = -5*z. Let u be (3\/(-11))\/(54\/360) + z. What is the smallest value in -0.3, -2\/11, u, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 159 = -27. Suppose 6 = 33*d - 35*d. What is the units digit of -3 + 2 - (d - y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3555507 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c**2 - 19. Let w(f) = -7*f. What is w(g(x))?\nAnswer: 56*x**2 + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202962267?\nAnswer: 3, 2505707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, -23, -93, -225, -437, -747?\n\"Answer: -3*z**3 - 4*z**2 + 7*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1228542, 1228437, 1228334, 1228233, 1228134, 1228037?\nAnswer: 1227942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiioriii. What is prob of sequence ior?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/10, 0.7, 2\/11, -44\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = -2, 2*p + 4*t = 44. Suppose -2*o - q - p = -7*o, q = -o - 2. Suppose o*x - 2*x = 0. Solve 4*b + 2*d + 6 = 0, 2*b + 3*d = -x*b + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**5)\/a)**(-1) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, r: 1, l: 4, a: 10, g: 2}. Give prob of picking 1 h and 2 l.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13636930 and 4777?\nAnswer: 231827810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 491 + -251. Suppose 5*f = -11*f + d. What is the greatest common factor of f and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -31. Let v = 55 + a. Suppose 0 = g + 4*g - v. Calculate the remainder when 27 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -35*(190\/(-30))\/(-19)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**2 + 72*r - 23*r**2 - 4*r**2.\nAnswer: -12*r**2 + 72*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (-195)\/(-24) + 3\/(-24). Suppose -x = 5*q - 16, -x + 80 = 3*x + n*q. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.83, 0.2, 0.3, -22, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i - 7. Let t be n(1). Suppose -2*c + 3*o + 5483 = t, c + 3*o + 8217 = 4*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 92*l + 359. Determine f(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48040833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 132?\nAnswer: -5\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 294483.39 minutes?\nAnswer: 4908.0565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 47*o + 20. Let s(l) = 6*l + 3. Let t(d) = a(d) - 7*s(d). Suppose 4*k = 3*m + 2*k - 15, -3*k = m + 6. What is t(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18655728 to the power of 1\/2, to the nearest integer?\nAnswer: 4319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104905038 + 10886469 - 40830*r - 5*r**2 + 10664124 = 0.\nAnswer: -4083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -9424 + 9415 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*61\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/9 - 68*x**2 - 3468*x - 58956.\nAnswer: -4*(x + 51)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -61*i**3 + 16*i**2 + 5*i - 6. Let q(x) = -12*x**3 + 3*x**2 + x - 1. Let a(f) = -2*l(f) + 11*q(f). What is the units digit of a(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/10160?\nAnswer: -3\/10160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -164 + 278. Let m = -113.975 + o. Let w = m - 0.02252. Round w to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -3 + (-2 - (-32 + 2)). Suppose -4*v + 26 = j - h, j = 4*v - 58. Let c = -17 - -35. Calculate the least common multiple of v and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1.8. Let v = -0.2 - h. Let n = -8 + 8.5. What is the second biggest value in v, -2, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 1. Let o = -122 - -56. Let i = 463\/7 + o. Which is the second smallest value? (a) z (b) 2\/9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*i - 14. Let d(h) = -h**2 - 8*h - 10. Let v be d(i). Let u(s) = 2*s - 10. Let f be u(7). Solve b = -1, -f*k - 13 = k - v*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 2:35 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511787?\nAnswer: 511787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1422 - 1390. Which is bigger: -9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k - 1. Let v(z) = -8*z. Let i be -1 + 2 + (-6)\/2. Calculate the remainder when v(i) is divided by o(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 1 - 20. Let q(n) = -32*n + 198. Calculate the least common multiple of s and q(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -13*h**3 + h**2 - h + 1. Let a be y(1). Let s be (-58)\/a - 3\/(-18). Sort 4, s, -3 in descending order.\nAnswer: s, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, g: 9}. What is prob of sequence gd?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -85, -674.11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 5 (c) -59 (d) -2 (e) -1 (f) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 224340 (base 5) to base 15\nAnswer: 25ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 2 (c) -9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/7*b**4 - 4\/7*b + 1\/7*b**3 - 4\/7*b**2.\nAnswer: b*(b - 2)*(b + 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10195966243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 56*b. Let j(v) = -11*v + 3. Let t(i) = 340*i - 90. Let w(h) = -60*j(h) - 2*t(h). Determine w(y(z)).\nAnswer: -1120*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x**2 - 11 + 7*x**2 + 11.\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5565504 and 451?\nAnswer: 61220544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 2. Let d(a) = a - 3. Let w = 10 - 8. Let o(r) = w*d(r) - 3*n(r). Let f(b) = -111 + 111 - b**2. Determine f(o(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/230)\/(2454\/(-6135))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -92*r - 347. Let s be q(-4). Solve -s*u - 93 = 10*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 180.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 2*z**2 - 2*z - 1. Let m(f) = f + 14. Calculate the remainder when m(5) is divided by d(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220\/40*(1 - -21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 56228 in descending order.\nAnswer: 56228, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 2617003?\nAnswer: -2617013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 43599750 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*c**3 - 7*c**2 + 36277*c + 27449840?\nAnswer: -18*c**2 - 14*c + 36277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1423?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -2 + -12 + 15 + 1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 20409894?\nAnswer: 40819788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**5\/10 - r**4\/6 + r**3\/3 - 3*r**2\/2 + 59*r. Calculate f(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + -1)*(-3286)\/(-17360)*-40\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277205 + 46*m**3 + 138602 - 4*m + 4*m + 138608.\nAnswer: 46*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12655, -25315, -37975, -50635, -63295?\nAnswer: -75955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 4:12 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -12*q**4 - 9*q**3 + 9*q + 7. Let d(n) = -3*n**4 - 2*n**3 + 2*n + 2. Let k(b) = -9*d(b) + 2*g(b). Differentiate k(x) with respect to x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 63*x = -153. Let b(c) = 0*c**2 + 2 - 8*c - c**2 - 4. Determine b(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*l - 462294 = 15*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 15. Suppose -95 = x*g - 230. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38298292.717 and -152.\nAnswer: -38298444.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -22*p**3\/3 - p**2\/2 - p. Let w(x) = x**2 - 1008*x + 338*x + 338*x + 332*x. What is q(w(r))?\nAnswer: -44*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 - 1344620*u - 1130001840250.\nAnswer: -2*(u + 1680775)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*k - 2*k + 10, -5*x + k - 16 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3aa269 + 12?\nAnswer: -3aa257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/18*((-1944)\/135)\/36.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1077353, 2154705, 3232057, 4309409?\n\"Answer: 1077352*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 13*r + 40. Let x be h(8). Let u(w) = -5*w + 1. Let i(c) = -2*c + 1. Let g(b) = 7*i(b) - 3*u(b). Determine g(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 19, 5 in descending order.\nAnswer: 19, 5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-1) + -4 + 4 + -3. Let j(h) = 3*h + 35. Let p be j(s). Let a be 2\/p + 132\/4. Is 29 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29502 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 45*c**2 + 13*c + 1. What is the remainder when 456 is divided by x(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ialk when four letters picked without replacement from {a: 1, l: 6, o: 1, i: 2, k: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0 + 0*p**7 + 0*p**6 + 0*p**5 + 4*p**2 + 0*p - 5\/336*p**8 + 0*p**3 - 11\/24*p**4. Find the second derivative of d(g) wrt g.\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 1, m: 1, y: 1, j: 1, z: 2}. What is prob of sequence zy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -990\/13, -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.5567875 - 0.06?\nAnswer: -255.6167875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2593, -4700, -8213, -13132, -19457, -27188, -36325?\nAnswer: -46868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 0)*(41 + -2). Suppose -g + 4*g = -3, -4*w - g = -q. Solve -4*j + 2*j = -w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 147593977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*a = 628 + 652 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 1 + 17. Let j be ((-18)\/15)\/(a\/15). Find the second derivative of 2*s**5 + j*s**5 - 4*s**5 - 2*s + 3*s**5 wrt s.\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/(-96) - 11\/2. Let z(q) = q**2 - 4*q + 6. Let l be z(4). Let u = w + l. Solve -4 + u = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z**4 - 14 + 14)*(-2 + 0 - 4 + (-3 - 2 + 4)*(1 - 3 - 1)) in the form g*z + f*z**2 + q*z**4 + a*z**3 + w and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 42 = 44 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 39944*w**2 - 159860*w + 199800.\nAnswer: 4*(w - 9990)*(w - 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s - 125 = -5*d, s = 4*d - 110. Calculate the remainder when d is divided by (-148)\/(-10) - (-1)\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 2. Let u(s) = -2*s**2 - 5*s - 18. Let h(t) = 3*a(t) + u(t). Let d(w) = -3*w**2 - 4*w - 3. Let c be d(-2). Does 36 divide h(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 3*i**5\/20 - i**3\/6 - i. Suppose 10*z - 5*z = 5. Let b(o) = 8*o + 10*o - 23*o - 4*o + 10*o. Calculate z*b(r) + t(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*n + 9 = 0, 4*f - 3*n = -8*n + 12. Solve g + 2 + f = -t, 2*t = 4*g + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**4\/24 + 2*n**2 - 2*n + 1943. Let z(a) be the first derivative of 9*a**2 + 6*a**2 - 6*a**2 - 1. What is z(w(t))?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9393 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.93 + -14. Suppose f - 2*f + 88 = 3*w, -5*f = -w + 40. Let z be -5 + (115\/w)\/((-4)\/(-6)). What is the closest to 0.1 in p, z, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2*o + 2 + 14*o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from dddddodddoddddddhodd.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-1))\/g)**(-38))**44*(g**2)**(-10\/13)\/((g\/(g*g\/g**(-1\/2)*g*g))\/g**4) assuming g is positive.\nAnswer: g**(-43317\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 0 - 1\/(-5) - 702\/(-90).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*z + 65396, 0*z = z + r + 21801. Round z to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 2*o - u, 4*o + o - 330 = -u. What are the prime factors of o?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert da4 (base 15) to base 10.\nAnswer: 3079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 382*y + 19115. Calculate s(-50).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -76877 and -55.33711?\nAnswer: 76821.66289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((3328\/(-24))\/(-26))\/(2\/(-3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+-482665.7\nAnswer: -482666.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 986?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d**3 - 397*d**2 - 19*d - 177. Let t be u(-51). What is the highest common factor of 81 and t?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 457203 - -5?\nAnswer: 457208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.646006 - -137.\nAnswer: 133.353994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83094, 332365, 747810, 1329429, 2077222, 2991189?\nAnswer: 4071330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-40) - (-6)\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**3 - 7*t**2 + 7. Let k(b) = b**3 + 2*b**2 - 2. Let i be 33336\/264 + 6\/(-22). Suppose 16*p - i + 238 = 0. What is p*k(c) - 2*g(c)?\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3 = -5*h. Factor -11*i**3 + 9*i**h + 2*i + 0*i.\nAnswer: -2*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5642*d - 1163448 = 5621*d - 967*d for d.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(((-113684)\/291)\/((-2)\/(-6)))*(-72)\/(-198).\nAnswer: -2\/293","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r - 16*r = 77*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.6, -112, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - l**2 - 6*l + 2*l - l**3. Let u = 0 + 5. Suppose 4*c + 2 + 3 = -w, -u*c - 4 = -w. Determine p(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -230.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 30*n**2 + 53*n - 64. Let y be d(-28). Suppose 25*a = y*a + 1300. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -45\/7 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -106475957, -106475956, -106475955, -106475954?\n\"Answer: b - 106475958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29952 = -566*v + 278*v. What is the highest common divisor of 1464 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 222.0411 - 0.0411. Let s = -257547.182 + 257325. Let q = a + s. What is q rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 13) to base 9.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*p - 175, 5*p - 35 = 4*p + 2*r. What is the smallest common multiple of p and 45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/2 and ((-13)\/(4\/(-32)*-53))\/2.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76242088?\nAnswer: 2, 13, 733097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**3\/4 - 52632*b**2 + 210537*b - 210540 = 0?\nAnswer: -70180, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1066 + 1070. Let t(w) = w**3. Let h(m) = 3*m**3 + 5*m**2 - 3*m + 2. Let q(r) = h(r) - 2*t(r). What is the tens digit of q(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**6 + 3468565*a**4 - 2*a**2 + 403333.\nAnswer: -240*a**3 + 83245560*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 6:45 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*4\/(32\/12)*6\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 7*j**2 + 40*j + 878. Let i(l) = 9*l + 27. Calculate 8*i(w) - 5*o(w).\nAnswer: 2*w + 16","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n - 36*n + 76 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**2 + 1\/78*x**4 - 64*x + 4\/13*x**3 + 0. Let o(j) = 0. Calculate j.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4695, 4691, 4709, 4755, 4835, 4955?\n\"Answer: l**3 + 5*l**2 - 26*l + 4715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**6\/120 + a**5\/80 - 5*a**4\/48 + a**3\/8 + a + 21. Suppose w(m) = 0. What is m?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4870 less than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 5 - 4)*(2*p**3 + 4*p**3 - 4*p**3) - 8*p**3 - 40*p + 40*p)*(0*p + 5*p - 3*p).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -264*d**4 + 256*d - 17. Let a(u) = 88*u**4 - 85*u + 6. Let r(z) = -17*a(z) - 6*v(z). Find the second derivative of r(x) wrt x.\nAnswer: 1056*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 49*a**3 + 36*a**2 + 439*a. Let d(v) = -2*v**3 + 2*v. Let w(r) = 6*d(r) + g(r). What is the second derivative of w(o) wrt o?\nAnswer: 222*o + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 1. Let p(u) = 10*u - 6. Let h(x) = -3*n(x) + p(x). Determine h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*((-2)\/4)\/((-2431)\/110 + 22). Factor 1\/2*b**t + 17*b**3 + 5*b**4 + 5 + 37\/2*b + 26*b**2.\nAnswer: (b + 1)**3*(b + 2)*(b + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -772, -814, -870, -940?\n\"Answer: -7*s**2 - 21*s - 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(66)\/sqrt(6) - sqrt(22)\/(sqrt(4)\/sqrt(2) + sqrt(2)))**2 + 5 + (3 + (sqrt(44)*-2)**2)*5.\nAnswer: 4139\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 148 - 11*o**2 - 3*o + 285.\nAnswer: -11*o**2 + o + 433","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c + 0*c)*(-2*c - 1 + 1) + 42*c**2 - 141*c**2 - 75*c - 144*c + 99*c.\nAnswer: -97*c**2 - 120*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314242*n + 63059693*n**2 - 63059696*n**2 - 314242*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22096.1775 - -22096. Let r = 0.025 + -0.14. Let h = r - l. Round h to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 731556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 93?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0129 + -0.1871. What is the closest to 3\/4 in 2, m, 8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78eb6 (base 16) to base 5\nAnswer: 111322121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 31, 46, 61, 76?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + t + 89 = 2*t, -4*t - 150 = -3*f. Let q = f - 140. What is the common denominator of q\/24 - (-6)\/8 and 16\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -10*v + 162. Calculate the smallest common multiple of 12 and (-2)\/(2*(-2)\/v).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5508 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10125 + 12596. List the prime factors of a.\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 0 + 0)*(1 + 1 - 3)*(6*z**3 - 6*z**3 - 3*z**3) - 3*z**4 - 2*z**5 + 3*z**4 + (0 + 0 - 1)*(0*z**4 + 0*z**4 - z**5).\nAnswer: -7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1478 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4) - -1)*-4. Suppose 5*j - 6 - 9 = -3*k, h*j - 4*k - 6 = 0. Solve -10 = -j*g + g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 219*l - 1081. Let m be x(5). Put m, -6, -3, 4 in increasing order.\nAnswer: -6, -3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.2 times 23249\nAnswer: -74396.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 272.085\nAnswer: 108.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 54380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -887*v**2 - 25*v - 1103. Let f(u) = -1330*u**2 - 35*u - 1655. Let p(a) = 7*b(a) - 5*f(a). What is the first derivative of p(z) wrt z?\nAnswer: 882*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -480 in -14\/33, 0.3, 2\/3?\nAnswer: -14\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 13*g**2 + 25*g - 18. Let j be u(17). Let v = 1293 + j. Is v a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -91. Let o(i) = -44*i**2 + v + 43*i**2 - 5 - 8*i. What is the remainder when 32 is divided by o(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871 divided by -6?\nAnswer: -871\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 - 6*k + 4. Let c(u) = 4*u**2 + 7*u - 3. Give -7*c(p) - 6*m(p).\nAnswer: 2*p**2 - 13*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - 1.48. Let s = -1.4 + 1.9. Let q = m + s. Which is the second smallest value? (a) -2\/7 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5208 and 15624.\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 76 = 3*k + 3*n, 0 = 2*k + 3*n + 54. Let o be -2 - (-5)\/((-70)\/k). What is the third smallest value in o, -1\/8, -4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1728*f**2*z + 13729*f**2 + 5*z**4 with respect to z.\nAnswer: -1728*f**2 + 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -4) + 5 + 299991. Suppose 5*j - 3*x + p = -2*x, 5*j + 5*x = -300020. What is j rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*y - 351*y + 18*y**2 + 666*y + 15*y**2.\nAnswer: 33*y**2 - 65*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -811*s**2 - s. Let r(b) = -3236*b**2 - 4*b. Determine -9*q(a) + 2*r(a).\nAnswer: 827*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:26 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q + 33. Let k be d(-11). Let f(h) be the third derivative of k - 1\/6*h**3 - 3*h**2 + 1\/60*h**5 + 0*h + 1\/120*h**6 - 1\/24*h**4. Factor f(p).\nAnswer: (p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 31 = -3*q + 2, 15 = 3*q + m. Suppose 60 = 5*s + 5*i, -73 = -q*s + 2*s + i. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - (-24 - (23 - (19 + 39))).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/23*77\/33*(-2)\/14.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 15) in base 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2825278.9 from -4.\nAnswer: 2825274.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**3 + 2*t**2 + 304*t + 11. Determine w(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 41*h**3 - 348*h**2 - 40383*h + 81830 = 0?\nAnswer: -1169\/41, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -53. Suppose -112 = -4*l - q*i, 4*i + 141 - 46 = 5*l. What is the remainder when l is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4749170 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9384 and 10944.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4798*k**4 - 256*k**3 + 1652732*k + 19?\nAnswer: 57576*k**2 - 1536*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3844 and 89\/5456?\nAnswer: 169136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-4 + 9)*(-2)\/(-10). Let r(x) be the first derivative of -4\/9*x**3 + 4\/3*x - 3\/2*x**4 + s*x**2 + 3. Solve r(c) = 0 for c.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 13608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-26)*(-2)\/1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - -57. Put h, -3, -1 in increasing order.\nAnswer: h, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, 5, -95, 0 in decreasing order.\nAnswer: 130, 5, 0, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 104. Let s be 6\/(-21) + -1 + z\/14. Suppose -s*c = -3*v + 55, -50 = -4*v + 3*c + 38. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g - 4816 = 21*g. Let v(j) = 5*j**2 - 4. What is the remainder when v(-3) is divided by g\/43*1\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-2)\/(-4)*-6. Let l = z + 8. Suppose 3*q - 3*n - 15 = -2*n, -5 = -q + l*n. What is the remainder when q is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**11)\/l**4*(l*l**3)\/(l*l**(-11)) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 25*w - 36. Let s be q(-21). What is the greatest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3796.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3405520*o*q**3 - 2351564*o*q wrt q.\nAnswer: 20433120*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*j = -4*s + 16, -3*j + 34 = 5*s. Suppose 2*g = -g - 6. Let n be (10 - 6)*(-2)\/g. Solve -1 = 3*y + a, 10*a + 16 = -n*y + s*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 207576 and 3564.\nAnswer: 6850008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1355528 + 106132 = 68*r. List the prime factors of r.\nAnswer: 3, 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + s - s)*(-35*s - 2157 + 2157).\nAnswer: -105*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*k - j, -4*k + 13 = 2*j - 1. Suppose 0 = 5*a - k*v - 2 + 7, -a - 3 = -v. What is the least common multiple of 18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263427?\nAnswer: 3, 277, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(342))\/sqrt(2).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50292.9 and 2.\nAnswer: 100585.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*h**3 - 206*h**2.\nAnswer: 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26047 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-78)\/(-7))\/(33\/4158) is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3084, -1110, 886, 2910, 4968?\n\"Answer: x**3 + 5*x**2 + 1952*x - 5042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 141\/458, 0.5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10422995?\nAnswer: 5, 11, 189509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*c - 180*c = 97*c + 716 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-5))\/(7\/35). Suppose -3 = n + 5*w + 7, 5*w = g*n - 30. Sort 0, n, 4 in descending order.\nAnswer: n, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 81*o**2 - 352. Let r = -659 - -641. Let m(f) = 20*f**2 - 88. Let h(t) = r*m(t) + 4*p(t). Differentiate h(v) wrt v.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64151 or 2245259\/35?\nAnswer: 2245259\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -0.066131549721829.\nAnswer: -3.066131549721829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850089337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -35 + 575. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 48, 2\/3, -158, -0.3, -525.\nAnswer: -525, -158, -0.3, 0.3, 2\/3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 17 - 17)*(7 - 3 + 0)*(11 + 13 - 9).\nAnswer: -240*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + h - 1. Let k = -1 + 2. Let u(r) = -r**2 - 1. Let y(q) = -4*q**2 - 2. Let z(v) = k*u(v) - y(v). Let l(d) = -2*m(d) - 3*z(d). Factor l(a).\nAnswer: -(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50775739.\nAnswer: 7, 2011, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5)*(-125)\/(-5)*19\/95?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/482259 and 91\/6.\nAnswer: 964518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1454 - 1453. Which is the third biggest value? (a) w (b) -0.5 (c) 2\/85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d - 9*d - 8*d - 4*d + 7*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((135\/(-210))\/(6\/4))\/((-7)\/28)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4662 - -4642 - (-1 - 41) - (-61 + 0)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/19001167 - -1712670187501\/418025674. Let c be (42\/15)\/(3\/4395). Let d = c - n. Calculate the common denominator of -23\/10 and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, z: 3, q: 2, u: 2, p: 6}. What is prob of picking 3 p?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a9 + 4a6?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 + 11*x + 10. Let u be d(6). Let k be 86\/16 - (-12)\/u. Let v(l) = l**3 - 4*l**2 - 7*l + 11. What is the least common multiple of 6 and v(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g = -15*g + 3512 - 56. Solve 385*i = 397*i + g for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1440 and 872.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37948, -38010, -38072, -38134, -38196, -38258?\n\"Answer: -62*o - 37886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -141f1e (base 16) to base 7\nAnswer: -14131365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 89 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 15*d**2 + 3. Give z(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4039, -8284, -12307, -15994, -19231, -21904, -23899?\nAnswer: -25102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 8*k - 4. Calculate w(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17401479 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 - (0 - (0 - 2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19956 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v = 3*b + 15, 4*v - 4*b - 4 = 0. Let c be ((-29)\/29)\/(v\/10). Is c at least as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -5 + sqrt(8) + sqrt(72)\/(sqrt(18)\/sqrt(2)))**2.\nAnswer: -100*sqrt(2) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -525471022*j**3 - 1922*j**2 - 33*j - 1693.\nAnswer: -3152826132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11*t**3 + 9*t**2 - 6*t + 10. Let g be 70\/(-14) + 3*3. Let a(y) = 11*y**3 - 8*y**2 + 6*y - 10. Let z(b) = g*f(b) + 5*a(b). Does 30 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -42, 1, -2248, 2, -228?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3\/2 - 1614*s**2 + 1930161*s\/2 + 966695 = 0 for s.\nAnswer: -1, 794, 2435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:14 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a9 (base 16) to base 9.\nAnswer: -5758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30226, -30246, -30302, -30412, -30594?\nAnswer: -30866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58163 and 76434491?\nAnswer: 8309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -38\/51?\nAnswer: -38\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 305436273 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from fffffffffffv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 263670207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 360 or 1076\/3?\nAnswer: 1076\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83\/4, -16, -3, -2, 12, -0.4.\nAnswer: -83\/4, -16, -3, -2, -0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 3378?\nAnswer: 11\/3378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -19. Let l be (-3)\/(-9) - b\/3. What is the highest common factor of 322 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65869530 to the nearest 1000000.\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -491 + 537. Suppose g = -4*f + 28, -3*g - 11 + t = 5*f. Solve -2*y - 1 = f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((0 + -2*sqrt(1300))*-4)**2 + -4*(1*sqrt(1872) + sqrt(1872))*-4.\nAnswer: 384*sqrt(13) + 83196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3 + r - 1\/3*r**2.\nAnswer: -(r - 5)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484038 is divided by 2689.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3888037?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/168 and -75\/304074008.\nAnswer: 912222024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11457, -11455, -11453, -11451, -11449?\n\"Answer: 2*i - 11459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -3638?\nAnswer: -3640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12)*4\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 3*s**2 - 10*s + 12. Determine x(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53 - (-81 - -54)) + 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + -4 + -4 + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 3. Let o be g(-6). Let s be (-8)\/3*o\/6. Let a = -0.7 - -1.7. Put s, a, -0.5 in descending order.\nAnswer: s, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -96 (b) 0.5 (c) 2 (d) -0.5 (e) 20.34 (f) -18\/7 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, 0, 1, 2.\nAnswer: -11, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(264)\/(-1*sqrt(12)))\/(sqrt(11)*-2*1 - sqrt(11)*3*5))**2.\nAnswer: 2\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784*o - 332869 + 332869 + 34*o.\nAnswer: 818*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.3 - 25. Let q = d - 2. What is the nearest to -1 in -1, 5, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -143*x + 9382. Determine a(56).\nAnswer: 1374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + (sqrt(72) - (sqrt(72) + (sqrt(72) - sqrt(72)*2) - sqrt(72))*-3) + (-2*sqrt(72)*6 - sqrt(72))) + 2)**2.\nAnswer: 5940*sqrt(2) + 145921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2209518.\nAnswer: 2, 3, 23, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 2:09 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 8\/(-2) - 3. Let r be (-2)\/2 + u + 2. Suppose r = 3*b - 143 - 238. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + 0*o + 0*o)*(2 + 1 - 5) + (3*o - 7*o + 2*o)*(2*o - o**3 - 2*o) + 0*o**4 + 0*o**4 + 2*o**4 + o**4 - 3*o**4 - o**4.\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 12 = -9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Let l be 20*((-3)\/6 + n). Let v = -2 + l. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 604522793?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2935264 by -733816.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3be - -2893?\nAnswer: 2c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 125044 = 40754. Calculate the remainder when y is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200948739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -5*b + 3*o + 14, -3*o - 18 = -3*b. Let v be b\/((4\/(-14))\/(60\/(-21))). Let l(g) = g**3 + 68*g**2 - g + 0*g**3 - 78*g**2 + 4. Determine l(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 2160 = -n - 2333, -q = -4*n + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*s**2 - 19506*c*s + 70*c + 11*s**2 - 15280*s + 22 with respect to c.\nAnswer: 2*s**2 - 19506*s + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 44 = 4*b - 0*b, j + 26 = 2*b. Solve 0*q + 40 = 5*f + 3*q, -2*q = f - b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 7. Let y = 1 - -3. What is the smallest value in 3, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = -0*l. What is the second derivative of v - 2*v - l*v**3 + v**3 + 2*v**3 wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/(16\/120). Suppose -34 = -5*z - b - 11, -5*b + 15 = t*z. Solve 0 = -z*m - 9 + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28602427?\nAnswer: 7, 83389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3192283 * 23.\nAnswer: 73422509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 3*n**2 - 3*n + 1. Let z be 4*((-3)\/6)\/(-1). Let l be h(z). Let t be (-2 - 197) + 1\/l. What is t rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = 14*f - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Let f = 77171 + -77170.6. Put b, f, -1, -0.3 in decreasing order.\nAnswer: f, b, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*p + 10 = 0, -2*n + 2*p = 5*p + 5. Suppose 0 = c - 8 + n. Solve -2*x - 25 = c*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 134515365 to the power of 1\/2, to the nearest integer?\nAnswer: 11598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -29 - 6. Let z be ((-45)\/10)\/(12\/80). Let q be (-14)\/49 + z\/x. Solve -q*j - j = -25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i*i**(-4)))**(25\/2)*i**(-2\/9)\/i**(-6\/11) assuming i is positive.\nAnswer: i**(4982\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 2*a**5 - a**5 + 0*a - 15*a**5 + 4*a**4 - 4*a**4 + (-4*a**4 + a**4 + 4*a**4)*(4*a - a - 2*a).\nAnswer: -13*a**5 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12481332 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*8*(-315)\/540*(-18)\/(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-27) + (-4808)\/(-18). Suppose 2565 = -264*h + x*h. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 7010872.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(204)*3 + (-2*sqrt(204)*1 - sqrt(204)))\/((sqrt(12) + sqrt(192)*-2 + sqrt(192) - sqrt(12)) + sqrt(1452)*2).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3427 - -6698. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78570 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38009 is divided by 229?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:07 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39290278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*g**2*s**2 + 15827204*g**2*s - 292*s**3 - 12*s**2 wrt s.\nAnswer: 136*g**2 - 1752*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 280 + 3*i**2 - 7*i - 2*i**4 - 280 - i**3 to f*i + w*i**4 + k*i**2 + l*i**3 + x and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790281812?\nAnswer: 2, 1283, 153991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**2\/4 - 18*g + 45\/4 = 0. Calculate g.\nAnswer: -15, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*t, -7*t + 48 = 2*r - 9*t. Let q(y) = -2*y + 28 - r + 0*y. Let h(j) = 36*j. What is q(h(i))?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 25. Solve -5*w + 3 = u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*j + w - 1, 2*w - 4 = -5*j. What is the biggest value in 4, 8, j, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 1. Let x(b) = 11*b + 8. Let g(h) = -k(h) + x(h). Let t(f) = f**2 - 4*f - 52. Calculate the remainder when g(3) is divided by t(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 4254.\nAnswer: 2\/2127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152880 and 960?\nAnswer: 611520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5095 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-6))\/(4\/6). Let h be 156*(-3)\/33 - 3. Let t = h - -17. Which is the smallest value? (a) -0.3 (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let y(r) = -38*r - 5. Let b(u) = -u**3 - 3*u**2 + 3*u - 1. Let w be b(1). Let n(p) = w*d(p) + y(p). What is the tens digit of n(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 42 = 2*x. Suppose -18*s - 6 = -42. Let t(q) = 2*q**2 + 6*q + 4. Let y be t(s). What is the highest common divisor of y and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824605*c - 5*j + 34 = -824607*c, -4*c = -4*j + 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuryoooorooy. What is prob of sequence ouy?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**6\/60 - j**5\/12 - 7*j**3\/6 - 1489*j**2. Calculate o(5).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21305 is divided by 2367.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11895 + 6941 - 428 = 354*v for v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + (sqrt(700) - (-2 + 2 + sqrt(700)) - (3 + -1*sqrt(700))))*-4)**2 + 0.\nAnswer: -1040*sqrt(7) + 11369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g*j*n**3 + 16*g*j*n**2 - 117*g*j*n + 48*g*n**3 - 42*n**3 - 3*n**2 + 4*n + 2 wrt n?\nAnswer: -12*g*j + 288*g - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 19*z + 10. Let j(d) = -17*d - 10. Let b(y) = -5*j(y) - 4*m(y). Let v be b(3). Differentiate v - 2219*l**2 + 3*l**3 + 2219*l**2 with respect to l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111372983 divided by 107\nAnswer: -1040869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, 0.2, -4, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25398102 divided by 8466034.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g - 15*g - 9 + g**2 - 2*g**3 + 1 - 3*g**2. Let y be j(-8). What is y rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -3314?\nAnswer: 3314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 404583*k**2 - 404580*k**2 + 2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + u + 22. Let s be f(5). Suppose 3*o - s*d = 74, -5*o = -0*o + 4*d - 94. Solve 0 = -4*b - 3*n - o, -5*n + 6 = -2*b - 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12)*24\/(-10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 825010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0133504336 rounded to 5 dps?\nAnswer: 0.01335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -14. Let r(f) = -9*f + 3*f**2 + 5*f**2 + m*f. Let q(z) be the first derivative of -2*z**3\/3 + 1042. Calculate q(r(g)).\nAnswer: -128*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 2:18 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 610 - 3048\/5. Factor 0 + 4\/5*r**2 + w*r**3 - 6\/5*r.\nAnswer: 2*r*(r - 1)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.02*12.\nAnswer: 180.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - v - 1. Let y(q) = 2*q**5 + 2*q**3 - 4*q**2 + 8*q + 8. Let m(r) = -8*w(r) - y(r). Factor m(g).\nAnswer: -2*g**2*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d - 2. Let h = -105 + 98. Let r(y) = 3*y**2. Let c(g) = -10*g**2. Let v(m) = h*r(m) - 2*c(m). Determine v(j(b)).\nAnswer: -49*b**2 - 28*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 + 4*c**2 - 7*c - 32. Let o be g(6). Let s(q) = -668*q + 465*q + o*q - 2. Let a(h) = h. What is s(a(b))?\nAnswer: 299*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**4\/9 + 2*n**3\/9 + 4*n**2 + n - 4. Let y(a) = 0. Calculate a.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*o + 4*z + 152, 0 = -5*o + z + 186. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let q(c) = c - 107 + 0*c + 106. Let n(k) = 4*k**2 - 5*k + 5. Let x(r) = -n(r) - 5*q(r). Determine x(j(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 15*s**2 - 61*s + 6. Let y(j) = -j**3 + 10*j**2 - 40*j + 4. Calculate -5*g(w) + 8*y(w).\nAnswer: 2*w**3 + 5*w**2 - 15*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/42*((-1)\/(14\/(-2)))\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3\/5 - 124*w**2 + 114503*w\/5 + 4115622\/5 = 0?\nAnswer: -763, -31, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**6\/120 + m**5\/10 - 7*m**4\/24 + 5*m**3\/6 - 42*m**2. Let y be w(-7). Is y at most as big as 40\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37989929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + -20 - (-1 - -41).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 5*m**2 - 5*m**2. Let d(n) = 7*n + 5*n + 0*n - 13*n. Let x(j) = -5*j. Let p(h) = 6*d(h) + 3*x(h). Determine u(p(t)).\nAnswer: 882*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21489.\nAnswer: 3, 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/281?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {c: 1, t: 4, m: 1, k: 1, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 273*q**2. Let s(p) = 2645 - 2645 + 6*p. Give m(s(o)).\nAnswer: 9828*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -498, 1, 0.1, -2\/17, -5, 7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 6. Suppose -4*x - 4*s - 4 + 40 = 0, -2*x + 4*s = 0. Let j be y(x). Does 6 divide j\/(-8)*32\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 20*t - 2*d = 6, 2*d + 6 = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1764)*2 + sqrt(36))\/(sqrt(30)\/(sqrt(10) + sqrt(10)*-2)))**2 + (((sqrt(300) + 1*sqrt(300))*2 + sqrt(300))**2 - (1*(sqrt(3) + sqrt(192)*-1))**2).\nAnswer: 10053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 21821.2 to the nearest 100.\nAnswer: 21800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(5) - -1*(-2*sqrt(5) - sqrt(5))) + sqrt(5) + sqrt(80)*-2) + sqrt(605) + 3 + -3*sqrt(80))**2.\nAnswer: -276*sqrt(5) + 10589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)\/d**5*d\/(d**(-3\/4)\/d)*d**(-4)\/d*(d\/d**(-7)*d*d*d*d*d**(-1\/6)*d)\/(((d*(d\/d**(1\/3))\/d)\/d)\/d*d**4) assuming d is positive.\nAnswer: d**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/3 - 43721*c**2\/3 - 159242800*c + 1115413824.\nAnswer: -(c - 7)*(c + 21864)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a = 18*a + 256. Let b = 97 - a. Let n = b + 7. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhccxhmtmxmmo. What is prob of picking 1 o and 1 c?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 2*w + 1 - 24.\nAnswer: 2*w - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121 - -133. What is the highest common divisor of 36 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.6 - -5.8. Let a = 10 - k. Let f = -1.33 - -1.73. What is the closest to 1\/3 in f, -3, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Let m be 1\/6 - (-46)\/12. What is the third derivative of -j**4 - m*j**n - 2*j**4 - j**4 wrt j?\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 8 = -4*p, 13*p - 8*p + q + 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5121039848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -77636*f. Let r(q) = 2*q**2. Determine r(h(p)).\nAnswer: 12054696992*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*68\/(-1666)*((0 - 1) + -6). Solve -24 = 4*o - 8*j + 4*j, j = -u*o - 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 889 and 3.\nAnswer: 2667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 69*k**5\/20 + k**4\/4 - k**3\/6 - 3*k**2. Let r be x(2). Suppose o = -z - 2*o + r, -3*o = 5*z - 4195. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3 - 16*m**2 + 25*m + 42 = 0.\nAnswer: -1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 477230395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17722487.\nAnswer: 659, 26893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 7*t**2 - 5*t - 7. Let r(k) = 5*k + 1. Let d(j) = -10*j - 2. Let b(m) = 2*d(m) + 5*r(m). Let s be b(1). Give i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 - 18*k**2 - 3*k - 8. Calculate d(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from pegteteuetegee.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**(-4\/3))\/z*z*z**(-1\/4)*z**(-1)*z*z**(-2))**(-25) assuming z is positive.\nAnswer: z**(475\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/135 and 83\/360?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, i: 8, y: 4}. What is prob of sequence is?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43806 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-12)\/(-8) + (-18)\/4. Let l be (1 - t) + -3 - (0 - -85). Let v = -45 - l. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**(-8)*i)*i*i**6\/i)\/((i\/(i**(3\/7)\/i)*i)\/i*i)**(-11))**(-22) assuming i is positive.\nAnswer: i**(-3740\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2 - 126251736*d + 3984875210753424 = 0.\nAnswer: 63125868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4504, 5117, 5730, 6343?\n\"Answer: 613*k + 3891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -70. Suppose -o = 3*t + 5, -2*t = -x + 83. What are the prime factors of x?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 14 = -5*f + 19, -5*p = 2*f - 142. Solve -4*i - 4*s + p = 0, -6 = 4*i - 4*s - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4 + 1634*t**3 + 221443*t**2 + 2359604*t - 811200 = 0 for t.\nAnswer: -325, -208, -12, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/322 and 39\/7406?\nAnswer: 7406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60 - 2517133?\nAnswer: -2517053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10229497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 267999 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z + 2*w - 14, -2*w = -5*z - 16. Let l = z - -4. Suppose 5*u + 3*n - n + 6 = 0, -l = -n. Which is smaller: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 104297 and -8.53.\nAnswer: 104288.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 385015, 770687, 1156359, 1542031?\n\"Answer: 385672*j - 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10142 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-676)\/11 - (-17990)\/39578\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1.5. What is the smallest value in x, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = 22*t + 161 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 6 + 0 - 1 - 1 + (3 + 3 - 4)*(-5 + 4 + 0) - 4 + 3 - 1)*(3*x - 2*x + 6*x).\nAnswer: -70*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11973 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 16 - 6. Let j be -3 + 4 - (r + 1). Let h be (j - (-46)\/3)\/((-1)\/(-60)). Round h to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.02 (c) 5\/438\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**5\/4 + j**4\/4 - 2*j. What is the third derivative of x(o) wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 14*b - 30*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5655514 (base 7) to base 2\nAnswer: 10101011101001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1238034 by 619017.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325392\/32*(-48)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -12*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*x - 4*n - 30, -3 = -n. Let q(z) = -4*z - 5. Suppose -d - d + 6 = 0. Let s(l) = 2*l - d*l - 3 + 2. Calculate x*s(a) + 2*q(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -32, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 12:15 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -36. Calculate the remainder when a is divided by 8 - (-5 - -1)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*f**5 + f + 47*f**5 - f**3 - 3*f - 2*f**4 + (-f + 5 - 5)*(0*f - f**4 + 0*f).\nAnswer: 6*f**5 - 2*f**4 - f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - -2. Let i = -0.1 - -0.2. Suppose 0 = -2*x - 3*j, 4 = 4*x - 2*j - 12. Which is the nearest to i? (a) n (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 268.5 + -269. Which is the third biggest value? (a) r (b) -30 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-18)\/4) + 116\/36. Suppose 3*j + 35 = 5*a, 4 = 2*a + y*j + 11. Solve -a*x = 4*t - 3*t - 25, t + x = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2096 and 2985228?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/((u**(-5\/6)\/u)\/u)*u)\/u)\/u**(2\/13))**(-15)\/(u**4\/u**(1\/4))**(-2) assuming u is positive.\nAnswer: u**(-815\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5798959754 and -6.84.\nAnswer: 5798959747.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*k = -9, 0*k - 4*k = h + 23. Let t = 12 + h. Suppose -2*q - 14 = -5*l - 98, -3*l + 210 = t*q. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -141, -215, -293, -375?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 20 = j, -2*i = -4*j + 8. Suppose -6*z - 254239 = -i*v - 3*z, z + 1 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(5*s + 59*s - 16*s) + 3*s + s - 2*s)*(3 - 1 + 0)*(-1 + 2 + 0).\nAnswer: 196*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6854 - -6857. Solve 9 = 2*y + 2*g + 5, d*g = 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 - 501\/4. What is the second smallest value in i, -0.3, 4\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 477*p + 496*p + 5 + 3.\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 4. Let z be r(-3). Let s = z + 13. Suppose 5*x - 5*h + 3 + 12 = 0, 4 = -4*x + 2*h. What is the least common multiple of s and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -27a?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:44 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2*l**3 - 2 - 4 + 3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-80))\/(((-236)\/(-160))\/(-59)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35*-5*(-14)\/245\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1005 + 1004.86. What is the smallest value in u, 1, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -719915*x - 58313108. What is z(-81)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/120 - p**5\/12 + p**4\/3 - 19*p**3\/6 + 2*p**2 - 11. What is the tens digit of j(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16471 smaller than -16470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 6 (c) 0.5 (d) 0 (e) -2 (f) 9677\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51.36*-2151.\nAnswer: -110475.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -4 + 1\/22*a**4 + 2\/11*a - 2\/33*a**3 - 1\/11*a**2. Factor x(w).\nAnswer: 2*(w - 1)**2*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a century?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 2 + 2 + (-2 - 3 + 3)*(0 + x + 0) in the form s*x + j and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02720855 to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 + 408 - 183 = 24*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*q - 242*q**2 + 260*q**2 + q**3 - 3*q**3.\nAnswer: -2*q*(q - 6)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*x + 27962 + 838 = 0 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/13, 54\/37, -1\/3, 22?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16344 is divided by 83?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*k**2 + 4*h - 51*k**2 - 42 with respect to k.\nAnswer: 4*h*k - 102*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682000 rounded to the nearest 10000?\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m + 138. What is k(-48)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 3*n**2 - 2*n + 3. Let d be b(-4). Let v = d + -63. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*a**4 + a**3 - 1688*a**2 - 176350*a?\nAnswer: -288*a**2 + 6*a - 3376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 11*o = 3*c - 22502, 14999 = 2*c + 5*o. What are the prime factors of c?\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.934881995 - -8031.954886995. Let b = -8030 + r. Let v = 0.02 - b. What is v rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370230 (base 13) in base 15?\nAnswer: 814847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3404 divided by -9639\nAnswer: 3404\/9639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r - 4*s + 22, -4*s - 4 = 0. Let w(v) = 5*v - 25 - 11 + 1 + 2*v + 6. List the prime factors of w(r).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18492781, -18492766, -18492751?\n\"Answer: 15*a - 18492796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**2 - g**3 - 6*g**2 + (-2*g**3 - 2*g**3 + 2*g**3)*(-2 + 2 - 1).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/749570 and 37\/749570.\nAnswer: 749570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31069105 and -308.76.\nAnswer: 31068796.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/1235 and -68\/15.\nAnswer: 3705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 15 = 15*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -27, -1, 69, 201?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 1\/464, -2, 0.1, -3, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(675) + 0 + -4 - sqrt(675)) + 1)*4 + -4)**2 + 1 + -4.\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 - (4\/(-14) + 2625\/(-245)) and 3115.\nAnswer: 34265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -7*g**5\/40 - 5*g**4\/12 - 5*g**3\/2 + 6*g**2. Let o(l) be the first derivative of c(l). What are the prime factors of o(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12976782 and 19656.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-192)\/256*7136196\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 12:52 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4886315853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5119314 is divided by 5601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnbnbnn. What is prob of sequence bn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -214 + 2?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.94075 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-162) - 2766\/(-162). Solve 53*s - v = 70*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 77.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(65) - (sqrt(65) + 2*(sqrt(65) + 1*sqrt(65))))\/(sqrt(5) - sqrt(5)*2*-3) + -1.\nAnswer: -1 + 16*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 208\/7. Sort 5, j, -2 in decreasing order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-11)\/4)\/(3\/12). Let g(v) be the first derivative of v**3\/3 + 2*v**2 + 15*v - 92. What is the tens digit of g(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 45*h + 41*h = 32, 3*a + 6*h = 36 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 451084, 1804318, 4059716, 7217284, 11277028, 16238954, 22103068?\n\"Answer: r**3 + 451076*r**2 - r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**18)**(39\/5)*(a**(-3\/34)\/a)\/a*a*(a*a**(15\/7))\/a assuming a is positive.\nAnswer: a**(168331\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497712633?\nAnswer: 3, 11, 15082201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(3))*-2.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 42*t**3 - 6*t**2 - 18*t - 6287. Let m(l) = -50*l**3 + 7*l**2 + 20*l + 6285. Let s(i) = 5*m(i) + 6*y(i). Differentiate s(x) with respect to x.\nAnswer: 6*x**2 - 2*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -55*u - 1867. Let d be m(-34). Solve -2*h + d*v - 3 = 0, -9 = -4*v - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12060?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 226 + -3392\/15. Sort w, 5, -2, -0.3.\nAnswer: -2, -0.3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/9)\/(2\/15). Suppose g = -x + p, 2*x - g = g + 6. Suppose -32 - 13 = -3*i + 4*f, 0 = x*i - 5*f - 61. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -7 + 24 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*b = 26 + 2, 3*v + 5*b + 19 = 0. Suppose 3*n = 8*n. Solve -s = n, -3*a + 6*a + v*s = -6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 56. Suppose 22 + 26 = l*j. Calculate the smallest common multiple of 10 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5545575 and 421155?\nAnswer: 1059204825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((0 + sqrt(1377) - sqrt(1377)) + 4)**2*6 + 5 + -1*sqrt(1377) + 0 + 0 + -3.\nAnswer: -9*sqrt(17) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 3. Let o be v(-3). Let d = -9 - -14. Suppose -7*f - d*j - 13 = -5*f, f = -4*j - 14. Solve -o*g - f = 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8507568*t**3\/7 - 39219898584*t**2\/7 - 46579443*t\/7 - 13830\/7 = 0.\nAnswer: -4610, -1\/1684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 31, 75, 147, 253?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/20 and -23\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 1. Let y(r) = 13*r - 4. Calculate 4*l(d) - y(d).\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1)*(3800\/(-3450))\/(-38)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.124 and 3331.42.\nAnswer: 413.09608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -2080912.\nAnswer: 5\/260114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -629, -113, 1693, 4789, 9175, 14851, 21817?\nAnswer: 30073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2514 by -3.\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**5\/40 + k**3\/12 - 4*k - 1. Let j(q) be the first derivative of p(q). Determine h, given that j(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 0. Let n be ((-104)\/572)\/(-3 + (-64)\/(-22)). Factor 0 + 0*s - 2\/3*s**3 - 2\/3*s**l + 4\/3*s**n.\nAnswer: -2*s**2*(s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 24. Let q be v(0). Calculate the highest common factor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(-2 + -1*sqrt(704) + 4).\nAnswer: -48*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 <= 17064\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) - -2*(2*sqrt(539) + sqrt(539) + sqrt(539)) - (1 + (sqrt(539) - (0 + sqrt(539))))**2 - ((2*sqrt(275)*-1)**2 + -4).\nAnswer: -1097 + 63*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -5*w**6\/6 - w**5 + 15*w**4\/4 + 25*w**3\/3 + 5*w**2 - 34. Find y, given that d(y) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*(-2 - -1))\/(-1). Suppose 2286*j = 2281*j - q + 50, j = -q + 14. Solve -2*g = -j + m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.8*-37\nAnswer: 843.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -i - 3*i + 9*i - 4*z, 32*i + 238 + 44 = 29*z for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:46 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/8875475 and -26\/1082375.\nAnswer: 44377375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -370*w - 1092. Give t(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-15)*(-17 - -14).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7 = 1. Suppose 45 = 13*r - 4*r. Suppose -2*s + r*v = -79, 4*s = s + a*v + 108. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d. Let s(b) be the third derivative of 0*b + 0 - 1\/6*b**3 + 10*b**2. What is -g(n) - 2*s(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*a**3*w + 5*a**3 + 1647*a**2*w + 5*a*w + 2*a - 3009*w - 7 wrt a.\nAnswer: 66*a*w + 30*a + 3294*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - r + 3. What is g(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3966223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -36389*j - 13*j**3 - 24*j**2 + 36391*j + 0*j**3 in the form g*j**3 + d*j**2 + q + p*j and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3127.282 nanoseconds to milliseconds.\nAnswer: 0.003127282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5\/13 + 16*g**4\/13 + 16*g**3\/13 - 192*g**2\/13 - 288*g\/13.\nAnswer: -2*g*(g - 6)**2*(g + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*(-95)\/(-266))\/(2\/20)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4886, 4899, 4926, 4967, 5022?\nAnswer: 5091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/((-7)\/70*26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmlmlmll. Give prob of picking 3 m.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 146\/14 + 9\/(-21) + 0\/1. Solve -17*k = -12*k - x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 61*n**2 - 64*n + 246. Determine d(60).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13*24\/1092)\/(2\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) 0.2 (c) 3 (d) 2 (e) -95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2416 - -6957. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6340*n**3 - 6982*n**2.\nAnswer: -38040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918 is divided by 57?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0192*39\nAnswer: 0.7488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-138))\/(-1))\/(50*116\/(-1450)).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 plus -51221?\nAnswer: -51220.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272131, 272202, 272331, 272518, 272763?\nAnswer: 273066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -9. Suppose -3*p = -4*x - 2, 5*p = 2*p - 2*x + 8. Suppose q*o - p*o = 40. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + -7 + (15 + -29 - -20)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 6*j - 18. What is h(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1275, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1.9871, -0.145, -2 in increasing order.\nAnswer: -2, -1.9871, -0.145, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(1\/4)*d))**(-13)*(d\/(d*d*d*(d\/d**(-6))\/d*d))\/d**(1\/8))**(3\/19) assuming d is positive.\nAnswer: d**(-141\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 3*k**2 + k + 1. Let a be w(-2). Find the third derivative of 0*y**2 - 2*y**2 + 0*y**3 - 3*y**a wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046 minus -257.33245?\nAnswer: 257.37845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 89, -0.3, 9, 5 in ascending order.\nAnswer: -4, -0.3, 5, 9, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -7 - -5) + (0 - 35) - -11\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4602640 (base 9) to base 14\nAnswer: 488766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 236\/13. Let m = -11.4 - -17.2. Let g = -6.2 + m. What is the nearest to -0.3 in i, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 533 and 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216815, 217108, 217403, 217700, 217999, 218300?\nAnswer: 218603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/3*l**4 - 1\/6*l**5 + 1\/2*l**3 + 0*l + 0*l**2 = 0. Calculate l.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3122055 grams in milligrams?\nAnswer: 312.2055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 83\/3 (b) -0.1 (c) 0.9 (d) -0.2 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -71320000 rounded to the nearest 1000000?\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2338*m + 23430. Determine x(-10).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-34)\/17 - (-819 - (-2)\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*24\/(-18))\/(-35*(180\/189)\/(-4)).\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -2. Let m = 1 - f. Is -1 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 130.25 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 + 3*f**5 - f**5 + (-2*f**3 - f + f)*(f**2 - f**2 + 2*f**2) + 3*f**2 + 4*f**5 - 3*f**2.\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.72 and -8.7?\nAnswer: 6.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 16*b + 86. Let a be j(-5). Let q(k) = -11 + 4 - 8 - 9*k. Let n(w) = 5*w + 8. Calculate a*q(u) + 11*n(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(847) + (-4*sqrt(847) - sqrt(847)) + 2)*-1)**2.\nAnswer: -176*sqrt(7) + 13556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**3 - 15*n**2 - 10*n - 10. Let k = 14 - 13. Let j(l) = -l**3 + l**2 + 1. Let o(v) = k*x(v) + 4*j(v). What is the tens digit of o(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -1 in decreasing order.\nAnswer: 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 30*d**2 - 5*d - 31. Calculate the smallest common multiple of t(4) and 18.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 2. Suppose w*l - 1176 = -3*d, 0 = -l - 2*d - 2*d + 225. Suppose 3*r + 4*b = -0*r + 219, 3*r - 2*b = l. What is the highest common factor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alclqcuuuqalu. What is prob of sequence uqcq?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzz when three letters picked without replacement from zjckzj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.331 - -3.331. Suppose 1 = -5*f + 3*o + 2, -4*o - 8 = 0. What is the closest to 0 in -7, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - p + 16*p = 153 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (5 + -3 - 0) - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = k - 11, -21 + 14 = 4*k - 5*x. Let u be 4 + (-7 + 3 - -5). Solve -k*c - 1 = 3*q, c + 35 = 6*c - u*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 125*g**2 + 68*g + 7275. What is h(124)?\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4345)\/(-30) + (-1)\/(-6) is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -26. Put g, 4, 3 in descending order.\nAnswer: 4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 131070 and 40.\nAnswer: 524280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/2)*y*y**(-2\/3)*(((y\/y**(-6\/5))\/y*y*y)\/y)\/(y\/((y\/(y\/(y*((y*y**(-2\/5))\/y*y*y)\/y)))\/y)) assuming y is positive.\nAnswer: y**(19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 11*r**3 - 3*r**2 - 13*r - 3. Let i be s(-3). Let g be (76\/3)\/(i\/(-216)). Is g less than or equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 6. Calculate o(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 16*z - 222*z**4 + 726*z**4 + 8*z**3 + 13*z**3 + 31*z**3 + 324*z**5 - 112*z**2 = 0.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 45592735.\nAnswer: 45592735.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17299, -16467, -15589, -14641, -13599, -12439, -11137, -9669?\nAnswer: -8011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + r + 6. Let n be s(6). Let u be (-3440)\/n + 8\/(-6). Let p = u + 106. List the prime factors of p.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2175 is divided by 321.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70023743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.45*0.2.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 541.286 - -5\nAnswer: 546.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -423, -708, -957, -1158?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a2d (base 15) to base 16.\nAnswer: 4ae0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 2*q + 1. Suppose 15 = 3*g, -g = -x + g + 92. Let m be x\/(-30) - (48\/(-20) + 3). Calculate b(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 23*g**3 + 111*g**2 - 153*g.\nAnswer: g*(g - 17)*(g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(3\/5))\/(n\/(n\/(n**(3\/5)*n)))*((n*n**(-3\/2)*n*n)\/n)\/n*n**5)**4 assuming n is positive.\nAnswer: n**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23512*w**5 - 7696*w + 2 wrt w?\nAnswer: -470240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**6\/120 - t**5\/6 + 3*t**4\/8 + t**3\/6 + 21*t**2. Let j be w(9). Is (3 + -3 - -293)\/(0 + j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**3 + 8*b**2 - 6 + 3*b**3 + 1 - 8*b**3 - 4*b. Let g(h) = -h**3 - 3*h**2 - 3*h - 2. Let n be g(-3). List the prime factors of p(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*x**4 + 64 - 129 + 64)*(-3 + 6 - 1) in the form o*x + l*x**4 + v + y*x**2 + s*x**3 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14665*s**2*w**2 - 559*s**2*w + 7653504*s*w**2 + s wrt s.\nAnswer: 29330*w**2 - 1118*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109534 - -0.04966.\nAnswer: 109534.04966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -101100000011101011001110 (base 2) in base 15?\nAnswer: -1032095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h - 13. Let q(s) = -11*s - 14. Let y(f) = -3*b(f) + 2*q(f). Calculate y(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o - 709 - 15*o + 7*o + 709. Let k(q) = 2405*q. Give k(j(s)).\nAnswer: 12025*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -76316 and -76958 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/39, 92, -2, -58.7, 0.3 in descending order.\nAnswer: 92, 0.3, -2\/39, -2, -58.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000213 - 220?\nAnswer: -1001033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 541266236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + 0.7. Let b = 89\/315 + -5\/21. Let i = b - -7\/45. What is the second biggest value in i, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -5900 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 304 = 89*g. Solve 24 = g*r + 24 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4303033 (base 6) in base 9?\nAnswer: 350823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (31\/(775\/30))\/(2\/135). Suppose -2*x + 91 = u. Solve 3 = -x*o - 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*z = -4*l - 254*z, 2*z = 2*l. Solve l = 9*v - 31*v - 66 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a year?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/9 + b\/9 - 2\/9 = 0. What is b?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33836 is divided by 141.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44055887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:14 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 9*q - 4. Suppose 5*j - 310 = q*z, 0 = -3*j + 2*z + 84 + 102. What is the remainder when j is divided by (32\/(-5))\/((-4)\/10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671529166.\nAnswer: 2, 7, 11, 4360579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 8) + -86 + 105.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 56+150159952.42\nAnswer: 150160008.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n - 8*n + 3*n - 3 - n + 3 + (n + n - n)*(0 + 0 - 2) + 3*n - 5 - n + 7.\nAnswer: -10*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1 + 3 - 46*w**3 - 4*w + 7*w - 98*w**3. Suppose -47*o - 24 = -23*o. What is the remainder when v(o) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/16, -1\/8, -2\/17, 2 in ascending order.\nAnswer: -3\/16, -1\/8, -2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -8 - 0) + 0. Suppose 3*k + 106 + 71 = n*o, -5*k + 195 = 5*o. Let m = -6 + o. Round m to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9831*z + 108134. Give y(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*b - 163*b = -7804 + 43304 for b.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -10875*v - 3. Let h(y) = -65445764*y - 18055. Give -18055*c(z) + 3*h(z).\nAnswer: 10833*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 49*u - 1027. Calculate q(154).\nAnswer: 6519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1464 - -5603. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 539, 4186, 10269, 18788?\nAnswer: 29743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 921.17 + -921.2. Which is the nearest to 0.1? (a) 4 (b) i (c) -2.9 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -61079\nAnswer: 4\/61079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 - 1135*h + 7 - 6 in the form s*h + t and give s.\nAnswer: -1135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. Let q be (3\/7 - 0)\/1. Let p(r) = -r**3 - 3*r**2 - 3. Let m be p(-3). Put d, m, q in decreasing order.\nAnswer: d, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 9*b = p + 22, -8*p = b - 3*p + 11 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 93*h - 507. Calculate l(-42).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -478 minus -4.555?\nAnswer: -473.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111728 divided by 38.\nAnswer: -55864\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 10:56 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**6\/900 - d**5\/75 + d**4\/15 - d**3\/3 + 2. Let k(v) be the third derivative of z(v). Let k(x) = 0. What is x?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, -21, -76, -185, -366, -637?\n\"Answer: -3*v**3 + 2*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2429*x - 2468*x = -468 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 11*v - 12. Let u be g(-8). Let r = u + -7. Let a = -2 + r. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2086803.3 * -2.\nAnswer: -4173606.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8529 + -8522. Solve -21*c - j*c = 84 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 49 = -73. Suppose -d - h*b = -294 - 66, 5*b - 705 = -2*d. What are the prime factors of d?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3937*t**2 + 24*t + 2343. Let f(q) = -27560*q**2 + 176*q + 16400. Let s(b) = 3*f(b) - 22*v(b). Find the first derivative of s(p) wrt p.\nAnswer: 7868*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 68 - (-87 - (-42 - 3))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.426084555 from -57.671.\nAnswer: -57.244915445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 455 - 215. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -600025243?\nAnswer: 600025250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a39a2 - 2b?\nAnswer: 1a3976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*r**2 - 1 - 13*r**2 - 9*r**2 + 2*r)*(107 - 10*r - 107).\nAnswer: -10*r**3 - 20*r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 13*a**4\/12 - 2*a + 104. Let k(y) = -2*y**2. Determine g(k(u)).\nAnswer: 52*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**4 + 34*x**3 + 30*x**2 - 1034*x + 968 = 0.\nAnswer: -11, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**2 - 69. Let f be p(-11). Let z = f + 1607. Calculate the remainder when z is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s + 2820 = -29*s. List the prime factors of s.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111370 is divided by 7417.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 54. Let l = -12 + j. Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -21, -28, -25, -6, 35, 104, 207?\n\"Answer: j**3 - 4*j**2 - 6*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 1853225.\nAnswer: -28\/1853225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -38*b + 66*b - 32*b + 3*y, -51 = -12*b - y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5709*i - 34377. Calculate v(-6).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*a**2 + 104*a**2 + 119*a**2 - 308*a**2.\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68969996 and 8152.\nAnswer: 4076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*c*z**3 - 2*c*z**2 - 45210*c*z - 2*c - z**3 - 2*z**2 + 169*z + 72 wrt c?\nAnswer: 27*z**3 - 2*z**2 - 45210*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-16)*-57*56. Let c = u - -528. Let o be (-13)\/(39\/c)*-400. What is o rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 4:30 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533998.2 litres to millilitres.\nAnswer: 533998200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcc when three letters picked without replacement from mcmmwmmcmcmiimwim.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:48 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.67 + -32.33. Let z = l + 32. Which is bigger: -0.07 or z?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40704 - 18889. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -784300000 to the nearest one million.\nAnswer: -784000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99293283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/3915 and 8\/21.\nAnswer: 27405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 5*q - 15. Let v be b(-5). Let d = -71 - v. Let n(l) = l**2 + 8*l + 2. Give n(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 811*t**6\/120 - 23*t**5\/6 + 2*t**2 + 792*t. Find the third derivative of j(a) wrt a.\nAnswer: 4866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -161.8427 to 1 decimal place.\nAnswer: -161.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196 and 117456?\nAnswer: 5755344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*b = -2627, i - 1014 = -5*b - 121. List the prime factors of i.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -328 - -330. Let o = 333.98 + -338. Let l = -0.02 - o. What is the smallest value in l, d, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*((-207)\/(-18) - 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1555 + 4965. Suppose 2*a + 2*a - z = 0. Round a to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 17*d = 46104. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -12*i + 205. Let f be z(17). Solve 3*a - 2 - f = 4*q, -4*q + a = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1.3. What is the closest to -2\/5 in -4\/5, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*y + l + 3767, -y = -5*l - 1870. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -36*y - 1. Suppose -w + 0 + 1 = 0. Let a be w*(-3 - -2)*1. Is j(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.5898742ns?\nAnswer: 0.0005898742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/7 less than 2\/6103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 11 + (195 - 201)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1995 - 80*l**3 - 1995)*(-27 - 4 + 80).\nAnswer: -3920*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*1\/((-52)\/24)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -37\/4, 2\/11, 3\/4, 2\/5, -53\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3192 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 3*j - 8. Let o be s(5). Suppose -5*d = 0, o*m - 79 - 41 = 4*d. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.47276, -9, -4, 5 in ascending order.\nAnswer: -9, -4, -0.47276, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 225371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1276 divided by -319.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -31, 2, 3\/7, -1\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 18*i - 180 = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 3 = -14*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -8*u - 4. Let z(o) = o**2 + 2*o - 2. Calculate z(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*w + 1569 - 4022 - 3279 = 1508 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163011 is divided by 8103.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 <= 1675787.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-8) + 850\/(-40). Let p be (-1)\/(-3) - 5453\/n. Suppose p = 4*v - 128. Is v a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -258 - -346. Suppose 0*k + g = 22*k. Factor -4\/5*v**k - 2\/15*v**5 - 16\/15*v**2 + 0*v - 8\/5*v**3 + 0.\nAnswer: -2*v**2*(v + 2)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-13 + (2 - (3 - (13 - 8))))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8809 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294827*d**3 - 590161*d**3 + 295331*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 217778220 and 5399460.\nAnswer: 653334660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 13)*816\/216. Solve j - 28 = 6*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 4:34 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from vqfqvqq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 465\/26818 or 0?\nAnswer: 465\/26818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (0 + -4) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z**5 + 3652*z**4 - 101972*z**3 - 185060*z**2 + 139248*z + 144144 = 0 for z.\nAnswer: -2, -2\/3, 1, 33, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -4) + 0\/(-3). Suppose 4*m = -p*m. Solve 0 = 5*k + u - 29, m*u - 2*u + 28 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77688622.\nAnswer: 2, 11, 29, 263, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(192) - ((1 + sqrt(192))**2 + 5)) + -2) - (-2 + 3 + 2*sqrt(192) + sqrt(192) + -3)**2)*4.\nAnswer: -5328 + 448*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-715)\/(-286)*(-1)\/(15\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 0, -4, -5501 in decreasing order.\nAnswer: 0, -3, -4, -5, -5501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, 3, -0.03, -5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 196043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8643181619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 7*l + 1. Let x be b(-8). Suppose -x = -5*v - 24. Let q(f) = -f - 2. Give q(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 714 + -712. Suppose -16 = -4*s - q*v, -3*s + 21 = 8*v - 11*v. Solve -45 = s*f - 5*x, 0*f - x = 5*f + 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + 6*b**2 - 2*b - 8. Let f(u) = -u**2 - 7*u - 8. Let g be f(-4). Does 16 divide q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.3 + -2.300064. What is k rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/13 - 56*g\/13 + 58\/13 = 0.\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16137673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzm when three letters picked without replacement from {e: 1, m: 1, c: 2, z: 5, p: 1}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o - 2*o - o. Let v be g(2). Suppose 0 = -2*c - v*c + 72. Solve p = 5*r + c, 0*r + p + 10 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 6*n = -12*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**5 - 205*h**4 - 335*h**3 + 33705*h**2 + 33660*h - 196020 = 0. Calculate h.\nAnswer: -33, -18, -3, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t - t + 2*t)*(-46*t + 142*t + 96*t) to w*t**2 + y + k*t and give w.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 316, 749, 1348, 2107, 3020, 4081?\nAnswer: 5284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 182*i**2 - 444*i - 16638. Calculate x(179).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(10*(-5)\/(-375)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -0.8, 1.67 in descending order.\nAnswer: 1.67, 0.09, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1385 divided by -3\nAnswer: -1385\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(10\/(-50)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 4*f + 12 = 0. Let n(u) = -17*u**2 - 614*u - 9000. Let g(h) = 8*h**2 + 306*h + 4500. Let b(z) = f*n(z) - 7*g(z). Solve b(v) = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 49507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.532 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2 (b) 0.2 (c) -1\/5 (d) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from vmmzmbvxmb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25715 and 1517?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*v - 4, 24 = 4*v + v - k. Let l be 8\/5 - (36\/(-10))\/9. Sort l, -3, v in increasing order.\nAnswer: -3, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39572 + -39586. Which is the nearest to k? (a) 1 (b) 7 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j + 244*j + 168*j - 8246 = 0 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -72*m**2 - 3*m - 2. What is n(-1)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) 0.01 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-105)\/(-12) - 3\/(-12). Let r(o) = 6*o + 5*o + o**2 - 7 - w*o. Determine r(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1122.2 - -0.3.\nAnswer: 1122.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s + 11*s + s + 347 - 14*s - 4*s as m + u*s and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14421025?\nAnswer: 5, 397, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9483.81 and -5167.\nAnswer: 4316.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 1\/4, -3, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 200?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w + 2. Let q be h(1). Which is the second biggest value? (a) -1 (b) q (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -0*t. Let g be (-18)\/t*(-13)\/39. Solve y + 3 = 4*y, -5*z + g*y + 12 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.701 - 13.661. Let w = -18 - y. Round w to one decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/3 - 1879*w**2\/3 + 440860*w\/3 + 220900\/3 = 0 for w.\nAnswer: -1\/2, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*w + 265, -180 = -8*w + 10*w + 2*y. Is (-71)\/(3 - (-260)\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 329759*a*s + 49421*a with respect to s.\nAnswer: 329759*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 3*r - 9. Let n be m(-5). Let b be ((-100)\/80)\/(10\/(-16)). Solve -v + t = 4*v - 4, 3*v - b*t = n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**5\/60 + 11*f**4\/12 + 121*f**3\/6 - 29*f**2. Determine n, given that r(n) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/((f*f*f**(-3\/4))\/f))*f*f\/f**(1\/6)*f*f*(f**0\/f)**(-13) assuming f is positive.\nAnswer: f**(205\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53703 and 13119813?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 8:54 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:15 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -96 (b) -0.5 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 133 = -16*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = s - 1, -3*x - 3*s - 7 = -4. Sort x, -4, 5 in decreasing order.\nAnswer: 5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 22 + 25 - 2*y**2 in the form s*y + g + h*y**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48412127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11743621 (base 8) in base 13?\nAnswer: -7037cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17534?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -4*b - 82. Let q be -4*(-3 + b\/8). Calculate the greatest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 18 = 22. Calculate the greatest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + 6 + -5 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5940 = 4*l - 3*h, -4*h = 0. Let k be (-4)\/10 + 1001574\/l. Let g = k - 674. Is g not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -3*y + 240. What is the highest common divisor of y and 671?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**5\/k*k*k)**(-31)\/(k**(-28)*((k\/((k*k**(-3\/17))\/k))\/k)\/k))**14 assuming k is positive.\nAnswer: k**(-44786\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**3*u**3 + 104*p**3*u**2 - 11860*p**3*u - 9*p**2*u**2 - 2*p**2 - 178728*p*u**3 + 5*u**3 wrt u.\nAnswer: 12*p**3 - 1072368*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*m + 392*m = -4004*m - 113593 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202 - (-40 - -21 - -150).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 4*d - d**5)*(-8 + 25 + 35).\nAnswer: -52*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3 + v**2 - 19 - 5 + 6*v + 701*v**3 + 28 - 3*v. Suppose -2*l = -2 + 4. Let f be g(l). What is f rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 - 3*u**2 + 2*u - 2. Suppose -4*y - 3*v - 2 + 8 = 0, 0 = 4*y - 4*v - 20. Let m(x) = 4*x**3 - 4*x**2 + 3*x - 2. Determine y*k(b) - 2*m(b).\nAnswer: b**3 - b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 237 = -2*u, 5*c = u + 3*c + 126. Let q = 120 + u. Suppose -9*w = -5*w - 4. Solve -w = -q*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 172*o - 11. Does 4 divide f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 3 + 16*h**3 + 5*h**3 + 17 wrt h.\nAnswer: 63*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4164072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 5 - 83 - 5) + (121 - 61) + -69?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -970, -2380, -4516, -7468, -11326, -16180, -22120?\nAnswer: -29236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 6*d - 9. Let f be m(4). Let v = 14 + f. Which is smaller: -4 or v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 13*s - 13*s**2 + s**3 + 19 + 0*s**3 + 3*s - 2*s. What is the tens digit of v(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3629.\nAnswer: 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 - 387\/(-36))*-4*(-44)\/(-40). Let p(n) be the first derivative of -4\/3*n**3 + d*n**2 - 6*n + 45 - 1\/4*n**4. Find a, given that p(a) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -33 + (-247 - -290)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 56676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 e when four letters picked without replacement from kleelleekke?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 v, and 1 l when four letters picked without replacement from nnlnlllv.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/12 - -2) + -4. Which is smaller: -1\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -686*h**5 + 5684*h**4 + 4662*h**3 - 2228*h**2 - 376*h + 144 = 0.\nAnswer: -1, -2\/7, 2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/8 of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(5\/2)\/s*s)\/s)*(s*s**(6\/7)\/s*s*s*s)\/s)\/(s**(44\/5)*s*s**24) assuming s is positive.\nAnswer: s**(-2201\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20, -5, -3 in descending order.\nAnswer: 20, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**2*m*r**3 - 3*j**2*r**2 + 1390*j*r**3 + 8*j*r**2 - 2*m*r**3 + 681*m*r**2 wrt r?\nAnswer: 6*j**2*m + 8340*j - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -92 divided by 45\nAnswer: -92\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 1, -5, -916, 50 in ascending order.\nAnswer: -916, -5, 1, 2, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/21 (b) -1 (c) 2 (d) 1\/5 (e) 36 (f) 0.4 (g) -0.36\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01011 - 1696?\nAnswer: -1695.98989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2656417?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -101, -232, -405, -614?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-11 + 3 + 3 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 468.464657 to the nearest 10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2957 is divided by 2866?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 8:53 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3610269, -7220538, -10830807, -14441076?\n\"Answer: -3610269*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 441059669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 2*s**2 + s + 1. Let m be 6\/(-1*(2 + -3)). Is f(m) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from {d: 3, u: 1, m: 4}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.9651 or -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4652.06*-0.662\nAnswer: -3079.66372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 1013\/(-5) - (-207)\/(-345). Let y = o - 65. List the prime factors of y.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*f**4 - 4*f**3 - 220*f**2 - 4004708*f wrt f.\nAnswer: -540*f**2 - 24*f - 440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, c: 3, b: 2, r: 5, s: 1, n: 1}. What is prob of picking 1 b, 1 c, and 1 r?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4185 + 79513\/19. Let d = 20 + -14. What is the fourth biggest value in -0.2, v, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffkfffffk. Give prob of picking 1 k and 2 f.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/1 + (-10 - -6). Suppose -s = -5*j + 1, -s - 2*j + 10 = n. Solve 3*g = s*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 5 + 55. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -51, -66, -89, -120, -159?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 49600000 = 15*d. Round d to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -80, -135, -178, -203, -204, -175, -110, -3?\n\"Answer: a**3 - 62*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1228*g. Let h(q) = -114333*q. Calculate h(m(r)).\nAnswer: -140400924*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/2 or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-8) + 4828\/1904\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 28*j + 5*p = 4, 5*j - 4*p - 20 = 0. Suppose 36*o = v + 37*o - 1909, 0 = j*o. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87840 (base 10) in base 6?\nAnswer: 1514400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 27*t**4\/4 + 507*t**3 - 1023*t**2\/2 + 171*t - 3. Let f(v) = 0. Calculate v.\nAnswer: -57, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26288793 and 652257.\nAnswer: 604642239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 459.906t in milligrams?\nAnswer: 459906000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 9*h = 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.4, -2\/11, 61.24 in ascending order.\nAnswer: -0.5, -2\/11, 0.4, 61.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 359110771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 7}. What is prob of sequence looo?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.81, -27, 5, 4\/3, 2.\nAnswer: -27, 4\/3, 2, 5, 11.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -25. Let i(s) = s + 4. Let b be i(9). Solve -b = 4*f - u, -5 = -f - l*u - 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q + 3*v - 25246, -12 = 4*v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i*k*o**3 - 3*i*k*o - 5127*i*o**3 + 3*i*o**2 - 2*i + 2*k*o**3 - 28*k*o**2 - 2*k wrt o.\nAnswer: 18*i*k - 30762*i + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 247 or 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) + sqrt(330) + (sqrt(330) - (sqrt(330)*-1*2 - sqrt(330)) - sqrt(330)) + sqrt(330))\/sqrt(10))\/(2*(sqrt(3) + sqrt(147) + sqrt(147)*2)).\nAnswer: 3*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 1*(-4 + -5 + 8 + 8) - -20939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b - 3*w - 297, -3*w + 495 = 5*b. Let r be 2\/11 + (-150)\/b. Let c = 13 - 27\/2. What is the second biggest value in 3\/7, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1862 - 1021. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -67, -157, -335, -631, -1075, -1697, -2527?\nAnswer: -3595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 454 + -425. Let d be 60\/(-120) + v\/2. Solve p = -6*p - d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-3*y**4 + 5*y**4 + y**4).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Suppose -5*r + 6 + 4 = u. Suppose 5*g - 3*p - 58 = 0, -4*p - r = -2*p. Solve 2*d - 4*b = 4, 4*d + 5*b = 5*d - g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1024303 (base 5) to base 4\nAnswer: 10100231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646*o**2 - 1213*o**2 + 313*o**2 + 309*o**2.\nAnswer: 55*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*p - 1472 = 28*p. Calculate the remainder when 61 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1912493*g - 56. Let b be z(-8). Round b to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -0.92 (c) 20 (d) 1\/7 (e) -7\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c + 7. Let z be q(-3). Let d(o) = 1. Let j(y) = y + 1. Let t(x) = -2*d(x) + 2*j(x). Let h(n) = 2*n + 0*n + 4*n. Calculate z*h(u) + 16*t(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401782020.\nAnswer: 2, 3, 5, 2389, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**2 - 3*h + 5. Let z be u(2). Let m = -6 - z. Calculate the lowest common multiple of 2 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + -4 + (12 - (1 - (8 - (18 - -7))))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22.47 and -0.606.\nAnswer: 21.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*u - 25 - 51, -d = u - 28. Let k(b) = 71*b**2 - 3*b - 2. Let w be k(-1). What is the highest common divisor of u and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (35\/4)\/(19\/76). Solve t + 4*j = -3*t, 5*t + d = 2*j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3537680957?\nAnswer: 30271, 116867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((-44 - -30) + (2 - 0) + 7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23.88714349 and -0.057?\nAnswer: 23.94414349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/4 - (-6)\/8. Let k = s + 9. Suppose k = 2*h - 24 - 28. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3485453\/7 - -496906. Let c = 1018 + j. Which is bigger: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 - 2*t. Let a(c) = 11*c**2 - 5*c. Let m(q) = -3*a(q) + 8*b(q). What is m(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - v + 900 = 0. Suppose 0 = -7*n + 12*n - v. What is the least common multiple of n and 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26\/511 - 4761\/2555. Let m = -12\/7 - k. What is the closest to 2\/3 in 3\/10, 5, 4, m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2622 and 7841091?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(7)*-4)**2.\nAnswer: -1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-13)\/(-3))*-2*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 7. Let x be 0*3*a\/3. Suppose 5*c - 9*c + 4 = x. What is the greatest common factor of c and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 8 - 7 = -3*x, -5*q + 4*x + 15 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*z + 71, 5*m + 6*z = 2*z + 323. Let o = m - 31. Calculate the greatest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 10 - (-2 + 5)) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5*f = -37 - 32, 5*l + 25*f + 215 = 0 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -188325 or -20904125\/111?\nAnswer: -188325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199263056 - -237.3.\nAnswer: 199263293.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6 + 1)\/(40\/(-30))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-558)\/15)\/(-1*(-2)\/(-5)) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:31 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.047049 nanograms?\nAnswer: 0.000000008047049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/7 (b) 0.3 (c) 2\/11 (d) -135 (e) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, -4\/5, 0.4, 0.5, -17, -0.5 in descending order.\nAnswer: 0.5, 0.4, -0.5, -4\/5, -17, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5310015 - -2810015. Round p to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2205*z**2 - 2206*z**2 + 8797*z**2 - 2181*z**2 - 2183*z**2.\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9))**(15\/2) assuming s is positive.\nAnswer: s**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -3\/2*u**2 + 2*u - 6 + 1\/3*u**3. Let l be (-1 - -4)*10\/6. Determine v(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 36281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**3 - d**3 + 53*d + 2*d**3 + 10*d**2 + 7 + 3*d**3 - 44*d. What is x(11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -29*o + 209. Let m be l(7). Solve 152*s + m = 155*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, 7\/289, -1357?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 2:00 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 554279?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 22*x**2 + 24*x + 26. Let k be c(-23). Suppose k*r + 6 = -3*a + 15, 0 = -r. Solve 2*m = -a + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1209, -2416, -3623, -4830, -6037, -7244?\n\"Answer: -1207*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (-4)\/(16\/(-12)). Suppose -p = -c*p + 25. Suppose 0 = 2*r - g - 4*g - 13, 0 = p*r - 4*g - 58. Calculate the remainder when 41 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50438389541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 + 2*i**2 + 2*i. Let f(v) = 2*v + 6. Let o = -7 + 0. Let w be f(o). Let t(x) = 5*x**3 + 6*x**2 + 6*x. What is w*g(y) + 3*t(y)?\nAnswer: -y**3 + 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17247001680 and 112.\nAnswer: 17247001792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-44)\/198 + 425\/9. Suppose t + 0 - h = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = p - 5*b, 5*b - 49 + 14 = -4*p. Suppose i - m = 10, -p*i + 59 = m - 3*m. Let c = -7 + i. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 768, 6989, 23746, 56307, 109940, 189913, 301494, 449951?\n\"Answer: 878*v**3 + 75*v - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00697878 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 168610106659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.01, 2\/17, -1 in ascending order.\nAnswer: -1, -0.01, 2\/17, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 4*t + 7. Let s be l(5). Let v be -4 - (1 - (-1 - 0)). Let i be (s - (-9)\/v)*0. Solve x - 5 = -i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q\/(q\/q**(-1\/3))))\/q**39 assuming q is positive.\nAnswer: q**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/5 - (-25)\/(2750\/88). Solve 94*z - 90*z - 4 = f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1676*y + 1594*y + 1631*y = 4978*y + 847 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -64528\/5 and -12907 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m - 7 = 3*d, 4*m = -2*d - 10. Let w = d + 4. Let k = 16 - 4. Solve 0 = w*j + k - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(171) + 2*(4 + sqrt(171)) + sqrt(171)))**2 - (-2 + sqrt(76)*5*1).\nAnswer: 4790*sqrt(19) + 70002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*r + 5*u - 22, -20 = -4*r - 2*u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1360, 2675, 4002, 5347, 6716, 8115?\nAnswer: 9550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxxxvvxnxvvxvvc. Give prob of picking 2 l, 1 c, and 1 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627501 equal to 18392504\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -7*m**3 + 5*m**2 + 102*m + 14. Let g(q) = -6*q**3 + 4*q**2 + 98*q + 13. Give -4*c(z) + 5*g(z).\nAnswer: -2*z**3 + 82*z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + g**2 - g - 2. Let z be r(4). Suppose i + 5*j = -2, 4*j + 15 + z = 3*i. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1)\/((-240)\/(-660))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 44*g - 45. Let b be f(1). Let c(l) = -l**3 + 6*l**2 + l. Let z be c(6). Let x be 1 - (-3)\/(-2)*2. Put z, b, x in ascending order.\nAnswer: x, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 85 (b) 25\/8 (c) 3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 560\/(-120)*(-120)\/14. What is the highest common divisor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(171) + sqrt(171) + -5*(sqrt(171) - 2*sqrt(171)) + sqrt(171) + sqrt(171))*1)\/((sqrt(225)\/sqrt(5))\/sqrt(5)*-1) + -4)**2.\nAnswer: 144*sqrt(19) + 1603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 5*d**2 + 4*d + 4. What is the remainder when 6 is divided by w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -588, -4620, -15514, -36684, -71544?\nAnswer: -123508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*t + 28 + 4, -3*z = t - 2. What is the remainder when 14 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 + 4 - 4)*(0 + 0 - 7 + (-5 + 4 + 0)*(4 - 4 - 2) + 4 - 4 - 4).\nAnswer: -45*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 407.5819 millilitres?\nAnswer: 0.4075819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/33)\/(-13*4\/130)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 4*v - 4, v = -101*a - 91*a + 190*a + 19 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 6:15 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0 (b) 4 (c) 0.04 (d) -1356\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(1\/5)\/z)\/(z*(z\/(z\/((z\/z**(3\/4))\/z*z*z)))\/z))**(-16))**(-2))**11 assuming z is positive.\nAnswer: z**(-3608\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2864080*j**3*k**2 + 2*j**2 + j*k**2 + 33460 wrt j.\nAnswer: 17184480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -26, -115, -272, -515, -862, -1331?\nAnswer: -1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/9 + 8*h\/9 + 20\/9 = 0 for h.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 0, -2*b + 4*t = -3*b - 5. Let r(q) = 3*q**2 + 5*q + 11. What is the remainder when r(b) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 - -10?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 - 10*o**3 - o**3 + 17*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 12*y**2 + 42*y. Calculate f(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-24)\/(-168))\/(4\/80570)*284\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0617*-5\nAnswer: -0.3085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2167, -4800, -8319, -13168, -19791?\nAnswer: -28632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 39 - 6799*q - 131 + 6804*q - 11*q**2. Let f be j(9). Do -209 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9613173?\nAnswer: 3, 61, 131, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j - 48 = 0. What is the common denominator of (-6)\/10*142\/j and (-6)\/10 + (-69)\/(-165)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(85)*-2 - -3*(sqrt(85) - (sqrt(85) + sqrt(85)*-4)))\/((sqrt(80)\/sqrt(4)*3)\/((3*sqrt(8))\/sqrt(2) + sqrt(4))).\nAnswer: 40*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 36 = 4*l + 12, 2 = 5*i + 3*l. Which is the third biggest value? (a) 4 (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -4, 7, 0 in increasing order.\nAnswer: -5, -4, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-90))\/(8\/9)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418898?\nAnswer: 2, 209449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n**2 - 2\/7 - 1\/7*n**3 + 3\/7*n.\nAnswer: -(n - 1)**2*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582773 - 2049541 - 2024345 = -47*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 15201*j - 16432280. Give z(1081).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006263 is divided by 10701?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -54. Calculate the highest common divisor of 70 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16590 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(704) + -2)*-4)**2 + ((sqrt(704)*2)**2 + -1)*-2.\nAnswer: -1024*sqrt(11) + 5890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-46)\/(-69))\/((-2)\/207). Which is smaller: -68 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, -16, -5, 10 in increasing order.\nAnswer: -16, -5, 0, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j**3*n + 160*j**3 - 5166*j**2*n**4 - 3*j**2 - 11 with respect to n.\nAnswer: 7*j**3 - 20664*j**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/5 + 152*u\/5 + 64.\nAnswer: -4*(u - 40)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3 (b) -12\/13 (c) -1.5 (d) -2 (e) 0.183\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6648, 12602, 18528, 24432, 30320, 36198?\nAnswer: 42072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-8)\/32*-12). Suppose 2*x = -5*g - 0*g, 3*x + 3*g - 9 = 0. Differentiate -4 + x - d + 7 - 6*y**3 wrt y.\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/144 - 646\/(-9). Suppose -o + u = 24. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-5))\/(160\/(-25) - -6). Let v(s) = 8 - 8 - y*s + s. Let k(a) = 32*a. Calculate v(k(b)).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 1. Let r be a(-2). Suppose -r*s + h = -133, 3*s = -2*h - h + 129. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 7*o + 1. Let a be b(7). Let n be 45\/a*2\/3. Let v = n + -10. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*3\/(-135))\/(8 - 78\/9)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/14 - (-2 + 10384\/924 - (-2)\/(-3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -36*f**3 + 25*f**2 - 18*f - 14. Let u(j) = 13*j**3 - 9*j**2 + 6*j + 5. Determine -4*h(w) - 11*u(w).\nAnswer: w**3 - w**2 + 6*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/33)\/((-268)\/(-2948)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhzahkhco. What is prob of sequence oh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f. Let o(c) = 29419*c. Let a(k) = -382*k. Let x(v) = 155*a(v) + 2*o(v). Determine x(s(g)).\nAnswer: 1860*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 8. What is v(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:16 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2489*t**3 + 3*t**2 + 5*t - 1 wrt t.\nAnswer: -14934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m**3 + 0*m)*(-83716 + m + 84005 + 3*m**2 - 3*m).\nAnswer: -9*m**5 + 6*m**4 - 867*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-780)\/24*(-26)\/(-65)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -10*f. Suppose 12 = 5*u - 2*u. Suppose -d - 3*d = u. What is the units digit of x(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 2\/(-4)*-2. Suppose -5*a = d*y + 4, -4*y + 10 = 5*a - 4*a. Suppose -y*s = 4*g - 62 + 11, -2*g = -s + 27. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -28 + 0 + 4 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 194 - 190. What is the nearest to -1 in -5, a, 20, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 769721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39956 is divided by 180?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/((-686)\/1239) + -13. Which is the closest to 2\/5? (a) 2 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3)*(-231*f - 334*f + 3 + 645*f).\nAnswer: -240*f - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -866339?\nAnswer: -866339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12932 by -2.\nAnswer: 6466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.55 - 0.35. Let m = p + 15.9. Which is the nearest to 2? (a) -6 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 177630, 362323, 547018, 731715?\n\"Answer: y**2 + 184690*y - 7061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooofoofooooofoffooo. What is prob of sequence ofo?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 750.4 - 832. Let d = m - -82. Put d, 5, 0.2, 0 in ascending order.\nAnswer: 0, 0.2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4790\/3 - 1596. Let l(q) be the first derivative of -j*q**6 + 0*q**5 + 0*q - 11 + 0*q**3 + 0*q**4 + 0*q**2. Find t such that l(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*1\/1)\/(-1). Let d = 429 + -434. Sort -3, x, d.\nAnswer: d, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - w - 8. Let k be v(0). Let u = 7 + -3. Let m = u - k. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845157 + -61120893?\nAnswer: -60275736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65598.1 centuries to years.\nAnswer: 6559810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 10*w - 1027. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2750791 is divided by 157?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1154 + -1154. Sort s, 2\/7, -2\/7, -0.041 in increasing order.\nAnswer: -2\/7, -0.041, s, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 28784224?\nAnswer: -5\/28784224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -162117*f**2. Let d(p) = -11*p**2. Give j(d(v)).\nAnswer: -19616157*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(8\/3))\/(k\/(k**(-3)*k))*(k**(-2))**39)**(-50) assuming k is positive.\nAnswer: k**(12400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 123361418 divided by -4253842?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82417267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-6))\/(-2))\/((-7)\/21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -166745?\nAnswer: -166745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/o**(-3\/7))*o)**5 assuming o is positive.\nAnswer: o**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*(-15)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n*n**(2\/5))\/n))\/(n**(-2\/9)*n*n))**(5\/6)*((n\/n**(3\/5))\/(n\/(n*(n\/(n*n\/(n\/n**(-4)*n)))\/n)))**44 assuming n is positive.\nAnswer: n**(25891\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3688984*n**4 - 1078*n**2 + n - 17 wrt n?\nAnswer: 88535616*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8525736?\nAnswer: 2, 3, 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1386.6 times 1\nAnswer: -1386.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -53 - (4 + -8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -131.39 - -131.44. Which is the fourth smallest value? (a) m (b) -4\/5 (c) 4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 314644 * 0.2\nAnswer: 62928.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-684*k - 603*k + 729*k + 3 - 1007*k)*(-3*k - 2*k + 6*k)*(-k + 3*k**2 + k) in the form o*k**3 + h*k**4 + b + a*k**2 + m*k and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/28 and 23\/1234?\nAnswer: 17276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/8 and 17\/404.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 104600847.\nAnswer: 104600847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17999 in -1, 1, 262, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -127524*u**4 - 27671?\nAnswer: -510096*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 2*c + 6. Let p be 18\/(-5) - (-8)\/(-20). Let j be 1\/4 - (-1)\/p. Let s be f(j). Solve -v = -4*v - s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + y - 7. Let h(o) = -4*o**2 + 17. Let x(z) = 2*b(z) + h(z). What is x(-2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -1*(2 + -1). Let g = -6 - y. Let j = g - -8. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 31\/2, 0.5, -276\/11?\nAnswer: -276\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -9 - (-437529)\/(-61404). Let h = b + -3\/172. Determine r so that 0 + 2\/7*r - h*r**2 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - r**2 - 10*r + 6. Let d be k(-4). Is d > 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*o - 8, -5*l = 13 - 33. Which is smaller: -8\/5 or o?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 15 = 3*y - 13*b, 2*b + 21 = 5*y. Let o = 25 - 15. Suppose -4*i + 3 = -c, -y*c + 11 = 3*i - o. Solve -i = -5*m + 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*z - 9. Let n(g) = -6*g - 4. Suppose -j - 3*j + 64 = 0. What is the smallest common multiple of j and n(z)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 x, and 1 q when three letters picked without replacement from {q: 2, t: 1, x: 6, s: 1, a: 3}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1331856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*v - 5*p = -881*v + 9, v + 5*p = -3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 4:23 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3242297*d**3 - 34*d**2 + 31353*d wrt d?\nAnswer: -19453782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11804\/5 (b) 2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-31))\/k**(-26))**(-49) assuming k is positive.\nAnswer: k**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109033?\nAnswer: 107, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**3 + 24*s**3 - 15*s**3 - 8*s**3.\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 2. Let j(z) = -z**3 + 6*z**2 - 6*z + 1. Let u be j(5). Is q(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 9*h - 12. Let r be j(-6). Suppose -r*m + 10*m = 620. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.4, 5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*c**5 + 2*c**2 - 7*c - 90?\nAnswer: -1500*c**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356 + 502 = j + 24*l, l = 5 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -243, -334, -349, -252?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/309 and 279\/(-465)*(-220)\/63.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5460 and 210?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 0, -49*u = 3*o - 52*u - 8883. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -5*c - 50, o + 20 = c - 4*o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33392 minus 0?\nAnswer: 33392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7064 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3518266 take away 1.1?\nAnswer: -3518267.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 4 (c) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-16) + (-32304)\/(-384). Let z = 452 + v. Does 67 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 19, 49, 111, 217, 379, 609?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2. Let m(k) = 1155 + 90*k**2 - 1155 - 81*k**2. Calculate 6*m(u) + 51*y(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 5*t + 720. Calculate the highest common divisor of t and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 48037.\nAnswer: -192148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*s - 783 = 0, -y - 2*s = 12 - 285. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5320523 (base 6) to base 14\nAnswer: -6a763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.7 + 3.82?\nAnswer: -122.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018050139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006205197 to seven dps.\nAnswer: 0.0000621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/1372, 11722, -5, -1\/3, 0.5?\nAnswer: 11722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o = -108 - 40 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -58 and -72?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/15 and -0.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3871275*q**3 + 3987*q**2 - 242 wrt q.\nAnswer: 23227650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*3\/(-90)*(-11880)\/(-144)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x = -12*x - 2376. Let g = -67 - x. Put 2, -17, g, -2 in ascending order.\nAnswer: -17, -2, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1205907 = 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 5. Let z(w) = 1. Let j(u) = u**3 - 6*u**2 + 6*u - 6. Let a be j(5). Let s(m) = a*h(m) + 6*z(m). Suppose -2*o + 7*o + 5 = 0. Give s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -46*p + 113. Calculate j(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6) + 1\/(-2). Let m(s) = 4*s**2 - s. Let l be m(x). Let y = -2 + 1. What is the nearest to 0.1 in l, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/3 + 2642*a**3\/3 + 884288*a**2\/3 + 2582016*a.\nAnswer: 2*a*(a + 9)*(a + 656)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -20. Let j be (-7)\/4*f\/(-2) + 0. Calculate the greatest common divisor of j and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -845 divided by 7\nAnswer: -845\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5, f = 2*m - m + 40. Let y = 130 + m. Suppose 5*b - y = 21. What is the remainder when 63 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 0*g**3 + 0*g - 10*g**2 + 0 + 1\/12*g**4. What is u(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -11. Let k be ((-8)\/10)\/(j\/(-35)). Which is the third biggest value? (a) -2\/21 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+6059.652285077\nAnswer: 6061.652285077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1897192 * -3.3.\nAnswer: -0.62607336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**5\/30 + q**4\/27 + 2*q. Let f(a) = 0. Calculate a.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 53 = 4*z. What are the prime factors of -5*6\/z + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -43*q**2 - 214*q + 11. Let m be p(-5). Solve 340*w - m = 346*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3253127?\nAnswer: 3253127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*z - 18850 + 1632 = 2005*z + 1982 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 20*z**2 - 15*z + 30. Let f be u(20). Let x be ((24\/f)\/1)\/((-1)\/5). Sort -2\/5, 0.4, x in decreasing order.\nAnswer: x, 0.4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**5\/60 - 5*l**4\/4 - 28*l**3\/3 + 113*l**2 - 2. Suppose g(v) = 0. What is v?\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -3)\/(6\/4). Let i(w) = -2*w + 1. Suppose -3*s - 5*a = -4, -s + a = -3 - 1. Calculate the remainder when i(d) is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -5 (c) 1.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3227 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*f + 325*f - 1567*f**2 - 1305*f + 327*f + 325*f.\nAnswer: -1567*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032452 rounded to 4 decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 13\/2)*(-4)\/6. Let w(z) = -56*z - 10. Let o(g) = -168*g - 30. Let q(l) = -2*o(l) + 7*w(l). What is the units digit of q(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/(-33))\/(2\/96). Find the second derivative of 22*z**5 + c*z**5 + 29*z + 15*z + 0*z wrt z.\nAnswer: 1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233 (base 8) to base 6.\nAnswer: -3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78 + 25 - -7) + 59?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 16*m**3\/7 - 1342*m**2\/7 - 2732*m\/7 - 1374\/7 = 0.\nAnswer: -1, 687\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*k - 27 - 12, 4*k = 0. Let c = l - -31. Let r(u) = u**2 + 7*u - 7. Calculate r(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1710 and 31905.\nAnswer: 1212390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53142 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**5\/20 - 3*n**2 - 34*n. Let l(k) be the third derivative of -k**4\/24 + k**3\/3 + k**2. Let s be l(2). What is v(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -636*i + 12572. What is k(18)?\nAnswer: 1124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -7 + 0*v**3 + 0*v**2 - 3\/16*v**4 + 0*v - 3\/20*v**5. Let m(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:13 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 87*o**3 - 697*o**2 - 21*o + 62. Determine q(8).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -24 (c) 0 (d) -66 (e) 7 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200022021322 - -1302?\nAnswer: 200022023230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82056\/7 or -8393?\nAnswer: -82056\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36025 - 1020?\nAnswer: -40045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5492*y + 6. Let n be a(-5). Suppose n = 12*w - 37310. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 98 + 84. What is the remainder when 49 is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15611423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqcq when four letters picked without replacement from qtqqttcnqqqcqqcqntqt.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*-1*(sqrt(171)*-1 - sqrt(171)))\/(sqrt(1296)*2 - sqrt(1296) - (sqrt(9) - ((sqrt(243) - sqrt(27)) + sqrt(27) + sqrt(27) - sqrt(27))\/sqrt(3))).\nAnswer: 18*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-9)*171\/228. Let l = -0.1 + 0.2. Which is the smallest value? (a) l (b) -1 (c) 2\/9 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/380 and -65\/88.\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -47?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1061, 1046, 997, 896, 725, 466?\n\"Answer: -3*m**3 + m**2 + 3*m + 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1400*g**6 + 2*g**3 - 6428*g**2.\nAnswer: 168000*g**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 327*s + 62900 - 37721 for s.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200110110000 - -11?\nAnswer: 10200110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -1381?\nAnswer: -1383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + (-22 - -17) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59692.5nm in micrometers?\nAnswer: 59.6925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10466 (base 10) to base 7\nAnswer: -42341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 98 + 42 = 19 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46, -47, -48?\n\"Answer: -b - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124 + -65. List the prime factors of d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(((-34661)\/11)\/((-24)\/(-9))). Let t = u + 116307\/110285. What is the common denominator of t and -9\/8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -322 bigger than 77575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9888 and 230940832.\nAnswer: 3296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 84. Let j = k + -43. Let w = -70.00000071 - j. What is w rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16569630 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 643*s. Let g(d) = -d**2. Determine g(m(o)).\nAnswer: -413449*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -2)*(-296)\/(-10878).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/(-32) - (-2)\/(-8). Let z be (k - -3)\/((-1)\/(-3)). Solve -2*f = 2*d - 5*f + 12, 0 = -z*d + 4*f - 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-3)*s**(-2\/5)\/s*s**5\/s**(5\/7) assuming s is positive.\nAnswer: s**(241\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19916350 by -46862.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 20*c - 236. Calculate p(18).\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00427877596 rounded to 6 decimal places?\nAnswer: 0.004279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2*v + 3. Let i be w(-5). Suppose 5*l = -i - 2. Let j be 76804\/16 + 1\/l. What is j rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29889*b**3*d**2 + 2*b**3 + 36*b**2*d**2 + 2*b**2 - b - 5 wrt b?\nAnswer: 179334*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 11126?\nAnswer: -11125.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, i: 10, z: 6}. What is prob of picking 3 i?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3243798314 to the power of 1\/2, to the nearest integer?\nAnswer: 56954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(-28) - (-22)\/8. Let w = 5 - 1. Let h(g) = -5*g**3 - 5*g**2 + 7*g + 1. Let r(v) = -6*v**3 - 6*v**2 + 8*v + 2. Let z(b) = w*r(b) - 5*h(b). Give z(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 579+114.7\nAnswer: 693.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.0789605 seconds?\nAnswer: 78960500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49454307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - k**2)*(21 - 21 + k**2) to g + z*k + t*k**4 + w*k**3 + a*k**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125 + 31. Let x be b\/(-6) - (-3)\/9. Let o = x - 9. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d4144a6 - -2?\nAnswer: 1d4144a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 44\/3 (c) -4 (d) -163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -15 - (17 + (-975)\/30). Let c(t) be the first derivative of -1\/3*t**3 + 14 + 0*t + z*t**2. Let c(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -100*c**5\/7 + 390*c**4\/7 - 494*c**3\/7 + 254*c**2\/7 - 54*c\/7 + 4\/7 = 0?\nAnswer: 1\/5, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1080 by -4.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34928 and 9404364?\nAnswer: 37617456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -216a3?\nAnswer: 216a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + 2 - (21 + -17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 6747570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 25. Let c be (-844161)\/(-108) - (0 + r\/(-16)). Let a = c - 7824. What is the common denominator of a and 73\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + 77. Suppose z - 4 = n*z, -5*z = b + 14. Let x = 118 - 347\/3. Put b, x, 0.2 in decreasing order.\nAnswer: x, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 10:04 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3333\/2 - -1840. Let h = p + -46. Let c = 130 - h. Is 3 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aka when three letters picked without replacement from akakaakkkkkkakkkkk.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 198 = -0*y. Let i = 34557 + -34494. What is the lowest common multiple of y and i?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 5. Let b be z(-5). Suppose -2*a = b + 4. Sort 5, -1, a in decreasing order.\nAnswer: 5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -27, 741, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2. Let m(j) = -j**2 - 3*j + 96. Let k(h) = h**2 + 2*h - 64. Let y(w) = -3*k(w) - 2*m(w). Give 2*n(b) + 2*y(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 38*t - 149. Let f(x) = -30*x + 244. Let o be f(8). Let h be a(o). Solve -y - 8 = h*g, 0 = g + 4*g + 5*y + 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729560367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 241 + -246. Sort -2, 5, y in descending order.\nAnswer: 5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111\/(-888) - (-10)\/(-48)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 3. Suppose 2*i - y - 2 = 0, 3*i - 2*y + 5*y = 21. Suppose -2*j - c = 4*c - 13, -5*j + i*c = -17. Suppose -12 = -2*z + j*z. What is s(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16215 - -17374. Calculate the remainder when o is divided by 296.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.0764 to the nearest integer.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*h - 7 + 1 = 0, -9 = -3*m - 3*h. Let k(p) = p + 5*p + 0*p - 22. Is 20 a factor of k(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2550, 10189, 22916, 40725, 63610?\nAnswer: 91565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(17) + (2*(0 + sqrt(17)))**2 - ((-2 + sqrt(17))**2 + 2)))*4.\nAnswer: 20*sqrt(17) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*s + 94*s + 16, -2*s = -k + 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246573.\nAnswer: 1246573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/5 - (4 + -1). Suppose 0 = 3*y - z*y - 6. Let p be y + (-1)\/(-13)*-24. Which is the third smallest value? (a) 5 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2. Let o be f(-1). Let p be (3 + o)\/(2\/3). Suppose 2*z - p*z = -212. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*m + m - 4, -16 = -m + 2*d. Find the third derivative of -54*i**2 - 6*i**4 - 4*i**3 + 17*i**4 - m*i**4 wrt i.\nAnswer: 72*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdzbbbbbbbzdazda. What is prob of picking 1 d, 2 a, and 1 z?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n**3 - n**2 - 34*n + 22. Let c(v) = -8*v**3 + 2*v**2 + 36*v - 23. Let k(x) = -6*c(x) - 7*m(x). Solve k(o) = 0.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.669 - 0.14662\nAnswer: -0.81562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 20\/(4 + -8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*j**3*r + 143*j**3 + 13*j*r wrt r?\nAnswer: 9*j**3 + 13*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6*r**0)**35 assuming r is positive.\nAnswer: r**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1 - 6*b + b**2 + 0 - 2*b**2. Let m be t(-5). Suppose 2*g + 6 = m. Is g < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107466, -107571, -107676?\nAnswer: -107781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 4*o + 120 - 5*o**3 + 6*o.\nAnswer: -5*o**3 + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 7065 = -1787. Suppose -44*o + 57*o = t. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 2*h + 1. Let d(q) = 52*q**3 - 3*q**2 + 4. Calculate 2*b(u) - d(u).\nAnswer: -54*u**3 + 3*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-27) - (-352)\/36. Solve -2*z = -0*z - s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -47.\nAnswer: -36\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43329, 43207, 43085, 42963?\nAnswer: 42841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 = j, 5*t - 3*t + 22 = 4*j. Let l = j - -9. Let s = 7 + -4. Calculate the highest common factor of s and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*g + 225 = 0, -g = 2*j - 3*j + 37. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c - 2490 = 65*c. Suppose -32*k + c = -750. What is the greatest common factor of 143 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2, 69, -1 in increasing order.\nAnswer: -2, -1, -0.5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82714365 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -46. Let l = k - -13.96. Let u = -27 - -30. Which is the closest to -0.1? (a) l (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqff when four letters picked without replacement from {f: 7, q: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(38\/(-4)))\/(-3*1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64.866 - -21.784. Let y = -43 - b. Round y to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114)*-2 + sqrt(114))*3 - sqrt(114))\/(2*sqrt(6)*-5).\nAnswer: -3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = y - 168. Let g = 50 - y. Suppose -5*c + s - 5*s + 102 = 0, -2*s + g = 4*c. Calculate the highest common factor of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33146 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 6:28 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 29 + 28 = 4*s, -2*t + 14 = 3*s. Solve 7*f + s = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -276 - -277. Let w be (-38)\/(-90) - (-6)\/(-27). Which is the biggest value? (a) y (b) w (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 649*k**9\/252 + k**5\/30 - 245*k**3\/6 - 10*k**2 - 19. What is the third derivative of u(l) wrt l?\nAnswer: 155760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, -13, -1, 5 in decreasing order.\nAnswer: 8, 5, 2, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.027611.\nAnswer: 0.082833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*d**3 - 8*d**2 - 61*d**4 + 29*d**3 + 58*d**4 - 3*d + 2 + 6*d**2 in the form k*d + i*d**4 + y*d**3 + x + l*d**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/10109 - 50533\/60654. Put -2\/13, 0.4, f, -2\/47, -2\/11 in decreasing order.\nAnswer: 0.4, -2\/47, -2\/13, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -28*w**2. Let p(g) = -12*g + 4. Determine m(p(n)).\nAnswer: -4032*n**2 + 2688*n - 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o + 66. Let a be d(-9). Let w(l) = 8*l**3 - 2*l**2 + l. Let g be w(1). Suppose -g*r + 12 = -4*r. Sort -4, a, r in increasing order.\nAnswer: -4, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -123*o**3*r*w - 5*o**3 - 12*r*w + 2781*r wrt w.\nAnswer: -123*o**3*r - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1163386 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -2381271.\nAnswer: 8\/2381271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 7*p + 18. Let i be d(8). Let v be (-4)\/i + 39\/(-65). Sort 7, 2, v.\nAnswer: v, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 4 - 2*g)*(34 + 23 - 5).\nAnswer: -104*g + 468","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 + -122. Let y(q) = q**2 + 11*q + 23. Let c be y(s). Let z = 300 - 157. Calculate the greatest common factor of c and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8848, 8850, 8852, 8854, 8856, 8858?\n\"Answer: 2*b + 8846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3))**(-31))**(-4\/5)*(h**(2\/3)\/h)**(-1\/18)\/(h**(-2\/7))**(1\/3) assuming h is positive.\nAnswer: h**(31463\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**5 + 0*n**5 + 5*n**5)*(-5 - 10 + 7 + 2 + 7 - 8 + 3 - 5 + 1 + (0 + 5 - 3)*(5 - 5 + 2) - 5 + 1 + 3).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -23161*t + 209078. Give q(9).\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5942\/9, 96, 2 in decreasing order.\nAnswer: 5942\/9, 96, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -100201221101 (base 3) to base 16\nAnswer: -2ecc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 8:39 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -14654180 to the nearest 100000.\nAnswer: -14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 0*v - 4\/3*v**6 - 4\/3*v**3 + 0*v**5 + 0*v**2 + 0*v**4 - 10. Find the third derivative of l(r) wrt r.\nAnswer: -480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + l - 28*l - 2*l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.860961 rounded to 3 dps?\nAnswer: 53.861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158 + 359. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 + 43*r + 34. Let c be s(-10). Solve -4*h + 3*h = 2*n + c, -2*n + 5*h - 28 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**3 - 11467*f**2 - 60*f + 4191743 wrt f?\nAnswer: 6*f**2 - 22934*f - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 5*s = 3*n + 13, -5*s = -25 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*j - 17*j - 5*i + 20, 4*j - 5*i = -20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1747624 (base 11) in base 7?\nAnswer: -34136516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11233 (base 15) in base 5?\nAnswer: 3220443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Let z be (16*v - -1) + -2. Suppose -5*x = 2*r - 3*r + z, -5*r = -2*x - 350. What is the greatest common divisor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -5.1. Sort a, 0.1, 0.4 in ascending order.\nAnswer: a, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, z: 7, d: 4}. Give prob of picking 1 n, 1 z, and 1 d.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 4 - 0 - 1. Let p(z) = 3*z**3 + 5*z**2 - 7*z + 2. Let t(f) = f**3 + 2*f**2 - 3*f + 1. Calculate l*p(w) - 7*t(w).\nAnswer: 2*w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, y: 6, q: 2}. Give prob of sequence qzzy.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*(-1*(sqrt(1008) + -3) + 4 + (4 + sqrt(1008) - sqrt(1008)))*-3*-4)**2.\nAnswer: -342144*sqrt(7) + 1463187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40857 is divided by 106?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 <= 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 2:28 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19c44 - -1?\nAnswer: -19c43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**4 + 3 - 10*m - 13*m + 2*m**3 + 24*m - 1 in the form p*m + b + i*m**4 + k*m**2 + h*m**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54, -50, -46, -42, -38?\n\"Answer: 4*w - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 230*o + 471. Calculate j(117).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 103*h + 3*h**2 - 103*h. Let p(x) = x. What is b(p(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v**2 - v - 3. Give r(3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 4*w - 550. What are the prime factors of w?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 - 3*f - 16. Suppose -29*d = 181 - 7. Is 26 a factor of z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4029.4441 rounded to 0 dps?\nAnswer: -4029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, z: 1, k: 3, d: 2, x: 1, q: 6}. Give prob of picking 1 z, 1 d, and 1 k.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w. Let u(l) = 3475508*l**2 + 3*l. Determine u(b(g)).\nAnswer: 13902032*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -131012.182 rounded to the nearest 100?\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8250)\/(-275)*(245\/(-21))\/7.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -1. Let y(t) = -3*t**3 - 38*t**2 + 22*t + 117. Let f be y(-13). Let r = 0.7 + -0.2. Which is the third biggest value? (a) u (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**5\/30 - 5*z**4\/24 - z**3\/2 - 54*z**2 - 7*z - 9. Let c(y) be the first derivative of w(y). Give c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 384247318.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyi when three letters picked without replacement from {i: 1, y: 2, z: 1, q: 2, t: 1, p: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149939 is divided by 588?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3262.90543 rounded to the nearest 10?\nAnswer: -3260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5587 = -5*d - 4*j, 2253 = -130*d + 128*d + j. Is d smaller than -2243\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i + 12. Calculate m(-6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. Suppose 3*x = p*x. Suppose 5*o + 5*f - 295 = x, 5*o - 93 = 5*f + 242. Calculate the remainder when o is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tatattc. What is prob of picking 2 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f - 17*f - 2*u + 28 = 0, -3*f - 5*u + 70 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 3*o - 10. Let i(b) = 4*b**2 + 2127*b + 60. Give i(j) + 6*s(j).\nAnswer: -2*j**2 + 2145*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 8, -x = 5*w - 6*x - 30. Suppose 0 = -4*s + m + 1621, -436 = -w*s + 2*m + 376. What is the greatest common factor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-4\/3))\/v*v**(-22)*v assuming v is positive.\nAnswer: v**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 22 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05853863 - 0.139.\nAnswer: -0.19753863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6060 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 36141 + -19.6\nAnswer: 36121.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/7)\/r**(-7\/6))**(-6) assuming r is positive.\nAnswer: r**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(1 - -1))\/((-426)\/(-781)). Solve -x*k + 32 = -7*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11697098.97809+-0.25\nAnswer: -11697099.22809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p + 34*p + 171 + 444 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-27))\/((-16)\/(-48)). Let x(n) be the first derivative of 0*n + 1 + 1\/9*n**3 + w*n**2. Find j such that x(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 154.5446t?\nAnswer: 154544600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 6 = -3*i, -5*i = b + 118 - 108 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -315622\/5, -0.4, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocae when four letters picked without replacement from {o: 4, c: 5, e: 6, a: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkivkdkkdkekeekkkkk. What is prob of sequence vk?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**3 + 1112264*m**2 + 83442004*m + 82329736 = 0.\nAnswer: -74, -1, 278141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2968495, -5936993, -8905491, -11873989, -14842487, -17810985?\n\"Answer: -2968498*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v**5 - 90*v**4 + 1011*v**3\/4 - 1359*v**2\/4 + 885*v\/4 - 225\/4 = 0.\nAnswer: 1, 5\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77715*v**4 + 171*v**2 - 273*v wrt v.\nAnswer: -1865160*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*-4*(-21)\/98?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 1 + 3 + 0*g. Let m be f(-7). Let w be (-3)\/2*(-6)\/m. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 18 = -10. Suppose -1235 = -47*i - 13. What is the remainder when i is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + a = 1, 62*z - 47*z - 24 = -2*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:11 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000042944 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(3*r**4 - 4*r**4 + 3*r**4) - r**4 + 75*r**2 - 41*r**2 - 37*r**2 + (-8*r**2 - 7 + 7)*(-3*r**2 + r**2 - r**2) - 4*r**4 + 5*r**4 - 2*r**4.\nAnswer: 26*r**4 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -357074 and 6.\nAnswer: -357068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.4. Let g = p + -0.2. Let x = 3.7 + 0.3. Which is the third smallest value? (a) g (b) 2\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/((-1170)\/(-54)))\/(2\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 335 from -98480499691.\nAnswer: -98480500026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*d = 9, -4841*d - 27 = 3*x - 4843*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 7 (b) 14 (c) -5 (d) 0.1 (e) 57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 21 = -159. Suppose g*c = 27*c - 1636. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 101*d**7\/70 - d**4\/12 - 71*d**3\/6 - d**2 + 26. Find the second derivative of p(j) wrt j.\nAnswer: 3636*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/49651416 and 43\/57926652?\nAnswer: 347559912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-15))\/((-1)\/18))\/((-106)\/265)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (7 - 9) - 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1312906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 3*i + 7*i)*(-2*i + 2*i - i**2) + i**2 + i**3 - i**2 + (113*i**2 + 161*i**2 - 17*i**2)*(7*i - 14*i + 6*i).\nAnswer: -258*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11359*z**2 - 46330*z wrt z?\nAnswer: -22718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24188437.\nAnswer: 7, 13, 265807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = m + 4, 5*m + 5*v = 87 - 27. Let w be 162\/4 - 2\/4. Calculate the highest common factor of w and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168778 (base 9) in base 16?\nAnswer: -199b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - (0 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Suppose 2*i + 2 = 2*j, -5*j + 4*i = -10*j - 22. Let s be (-1)\/j*x*61. What is s rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + p**3 + 23*p + 9*p + 6*p - 5*p to h*p**2 + j*p + x*p**3 + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3*o - 3*o)*(4*o**3 + 0*o**3 - o**3)*(-5 + 4 + 3) + (o**3 + 3*o**3 - 5*o**3)*(0*o + 2*o - o) - o**4 - 2*o**4 + o**4 + 0*o**4 - 3*o**4 + o**4.\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17885\/11926 + -2\/5963. Let a be 16\/(-40)*(-5)\/9. What is the third smallest value in a, 0.2, -2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17019903 divided by -60141\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4206 + 4234. Let w(o) = -7*o - 3. Let l = -9 - -6. Let p(u) = 36*u - 39 + 11 - 100*u. Give l*p(m) + s*w(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a factor of 1703250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012212 - 111212?\nAnswer: -2201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7786850 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 2*t + 6 - 3*t**3 + (-5*t + 2*t + 2*t)*(-4*t**2 + 0*t**2 + 3*t**2).\nAnswer: -2*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 - 25\/(-2). Let x(r) = -43 - r + 68 - 12. Let t be x(n). Solve g + 0*g + 3*p + 15 = 0, -3*g - t = -2*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55574, -54114, -52654, -51194, -49734, -48274?\n\"Answer: 1460*q - 57034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1735377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3312 + -201?\nAnswer: -10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.289 (b) -1.6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1340*u**2 - 561*u**2 - 2114*u**2.\nAnswer: -4015*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76 + -4)\/(44\/(-6)) + (-2771 - -2780)?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5310 and 2244360?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3*w*y + 18*b**3 + 4*b**2*y + 8*b*w*y + 2*w - 2*y wrt w?\nAnswer: -2*b**3*y + 8*b*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/7))**(-21)*m\/m**(-2\/5)*m*m**(3\/4) assuming m is positive.\nAnswer: m**(-477\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 times -91?\nAnswer: -6006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v - 7 + 3 - v**2 + 9. Let c be s(5). Let m = 46 - c. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*p**2 + 64 + 59 + 54 - 176.\nAnswer: -42*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.03, 0.4, 58, -0.2 in decreasing order.\nAnswer: 58, 0.4, 0.03, -0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjl when three letters picked without replacement from jhuhhuluhhhuhjhhh?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 0.082 (c) -96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99 - 3457003.\nAnswer: -3456904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28*(-26)\/(-546))\/(104\/18)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42534 is divided by 478.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.533405 centuries in decades?\nAnswer: 35.33405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*u = -3108424 + 3160030 for u.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/8*(-2)\/1. Let z = y - -11. Find the first derivative of -4*s**2 + z + 5*s**2 + 3*s**2 wrt s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -5, 6, 5, -2 in decreasing order.\nAnswer: 6, 5, -2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 11. Let p be n(6). Let h be 0 - p*(-3 + 1)*-1. Let j be 36 - ((0 + h)\/2)\/(-1). Solve 5*m - 5*b = j, 3*b + 3 = -5*m + 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*o - 44. Let f be (21\/(-14))\/(-1 + 215\/210). Put f, 5, o in decreasing order.\nAnswer: 5, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20\/11, 4, 2\/5?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, 39, 117, 235, 393?\n\"Answer: 20*o**2 - 22*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**3 - x**2\/2 - 56. Calculate m(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3780940 is divided by 161?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 11:40 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 25*y**2 + 59*y + 529. Does 9 divide a(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6991541663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 + -97.37. Let q = z - -4.37. Let k = -0.23 + -13.77. What is the closest to k in -1\/5, q, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/9 - 3\/(-9). Let q(w) = 34*w**2 - w - 1. Is q(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 284906233*q**2 + 142453118*q**2 + 142453114*q**2 + 74.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-9)\/(-12)) - 0. Let g be (-48)\/26 + (-4)\/(-2). What is the third smallest value in 1, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7665 (base 11) in base 16?\nAnswer: -2782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4103.\nAnswer: -1\/4103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*d**4 + 109*d**2 wrt d.\nAnswer: -2856*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 n, and 1 z when three letters picked without replacement from {o: 2, t: 1, w: 2, n: 1, z: 1, p: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241266231.\nAnswer: 3, 331, 80989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 33431624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -805694, -1611386, -2417078, -3222770, -4028462, -4834154?\nAnswer: -5639846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttat when four letters picked without replacement from {t: 6, a: 1, p: 1, y: 3, n: 6, w: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19*22\/(-627))\/(((-2)\/6)\/(145\/(-10)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcsgn. What is prob of picking 1 g, 1 n, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1724*r**2 + r - 4*r**3 + 86 + 1724*r**2 + 3*r**2 - 3*r**2 + 2*r**3 - r - 2*r**3 + r + (r**2 - r**2 - r**2)*(-2*r - r + 5*r).\nAnswer: -6*r**3 + r + 86","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - s + 57, -2*r + s = -3*s - 62. What is the remainder when r is divided by 2\/5 + 96\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7010042*s**2 + 1530417 wrt s.\nAnswer: 14020084*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.8 + -11.4. Let l = d - -17. Which is the third biggest value? (a) l (b) 2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/31939 - 3545249\/638780. Let t = 2293673\/42 - 54614. Find the common denominator of t and d.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55980498*s**2 - 116217055 wrt s.\nAnswer: 111960996*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 2*s**2 - 11169 + 2*s**2 + 0*s**2 + 11169.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/4 + 529*q**3\/2 - 62452*q**2 - 3973176*q - 55644480 = 0 for q.\nAnswer: -30, -24, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -240947*v - 426599.\nAnswer: -240947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1561.5, -0.1, 0.25 in descending order.\nAnswer: 1561.5, 0.25, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2716678?\nAnswer: 2, 131, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1090*c**3 + 1705*c**3 + 1334*c**3.\nAnswer: 4129*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14709765 is divided by 654?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 15 + 5*o - 5*o - o. Let u be c(8). Let j = u - -304. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-1 + 7)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 3:32 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(117) - (-1*sqrt(117) + 0))**2 - sqrt(117) - (sqrt(117) - (sqrt(117) - (sqrt(117) + -2 - sqrt(117)))*-6)**2).\nAnswer: -5408 - 507*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 2*y. Let t(k) = -11*k - 14. Let r(g) = -24*g - 30. Let a(q) = -6*r(q) + 13*t(q). Let o(l) = -l + 1. Calculate y*o(d) + a(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from bbbboobbb?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 25. Let x be (1 + (-246)\/30)\/(4\/(-30)). Let h = 64 - x. What is the remainder when v is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 102*x**5\/5 + 61*x + 434. Differentiate p(n) wrt n.\nAnswer: 408*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w*w**(3\/2)*w))**(-1\/26)*w**(-14)\/w**(-12) assuming w is positive.\nAnswer: w**(-95\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5765775 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 72\/5 - (-4)\/(-40)*4. Sort -4, a, -1, 3 in ascending order.\nAnswer: -4, -1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*p**3 - 1039*p**2 + 1010*p**2 - 80*p**3 - 5*p + 37*p**3 to n + w*p + a*p**3 + u*p**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7 + 53 = 0. Suppose -9*f + r = -4*f. Suppose 4*k = -f*v + 3*v + 665, -v - k + 223 = 0. What are the prime factors of v?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 312 - 306. Suppose b + 2*i = j, i + 4 = 26*b - 30*b. Put -4, 3, b, 0 in increasing order.\nAnswer: -4, b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 24 + 27 + 0*r**2. Let c be t(0). Suppose -4*n = c - 15. Solve 0 = y + n - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*y - 28*b - 818 = -74*y + 1036, 4*y + 0*y + 2*b = -144 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 2*m - 1. Let j be ((-9)\/5)\/((-138)\/(-230)). Let z(q) = -q + 1. What is j*z(y) + p(y)?\nAnswer: y**3 + y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 44, -2 in ascending order.\nAnswer: -2, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*((-25)\/2)\/5. Let j(y) = -y**3 - 2*y**2 + 5*y. Let i be j(-4). Let q be 105\/i - (-2)\/8. Solve -v + q = -4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.053575*0.07\nAnswer: -0.00375025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23998, -1.6, 0.3?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -7. Let b be 21\/(-8)*-2*g. Let v = b + -10. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43833 divided by -5701?\nAnswer: 43833\/5701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/2, 2, 0, -3\/4 in ascending order.\nAnswer: -3\/4, -1\/2, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/126 + -925\/126. Calculate the common denominator of 26\/49 and u.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -329, 0, -0.6, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.765674 - -6.6756. What is m rounded to four dps?\nAnswer: -0.0901","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.47265 days in weeks?\nAnswer: 24.63895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 16653216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**1)**35*j*(j\/(j\/((j**6\/j*j*j)\/j)*j))\/j*j*j**(1\/6)\/j*j)\/(((j**(4\/5)*j)\/(j\/(j\/j**(-4\/7))))\/(j**(-2)*j\/(j*j**(-5))*j*j)) assuming j is positive.\nAnswer: j**(1847\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + y - 1. Let t(q) = -5*q**2 - 3*q + 18. Let g(o) = 4*c(o) + t(o). Suppose -4*l + 0*l = 0. Give g(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c**2 - c**2 + 2*c**2)*(0 + 3 - 2) + 2*c**2 + 3*c**2 - 7*c**2 - 5*c + 2*c**2 + 5*c)*(-1 - 4 + 4)*(-23*c - 33*c - 3*c)*(-5 + 1 + 3).\nAnswer: 118*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*c - 3*z + 1, 4*c - 3*z + 13390 = 13425 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*m**4 - 2*m**4 + 3*m**2 + 14*m**2 - 11*m**4 wrt m.\nAnswer: -696*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 8*f - 2. Let a be z(7). Solve 5*i = -a*m + 11 + 29, 0 = 3*i + 5*m - 32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.904 + -5.904. What is the nearest to -1 in 0.1, 0, 0.03, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j**6 + 4*j**6 + 2*j**2 - 24*j**6 + 3*j**2 wrt j.\nAnswer: -1680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 12:23 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71848464 is divided by 35924232?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-36) - (-14)\/(-6). Suppose 2*r + 5 + 1 = 0. Let k be (-1*3)\/r - w. Let u(p) = p**3 - p**2 - 5*p + 4. Determine u(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -3) + 8 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4265200 to the nearest ten thousand.\nAnswer: 4270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12759570 and 19471.6.\nAnswer: 12779041.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*o**3 - 6*o**2 + 2*o**2 + 5*o**2 + o - 3*o in the form n*o**3 + i*o**2 + t + r*o and give n.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 a factor of 5429950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r\/(r*r*r\/r**10*r)*r*r)*r)\/r)**(-44\/7)*(r**(3\/8)\/r)\/(r\/(r\/(r*r**(-10\/11)\/r))))**(-8\/5) assuming r is positive.\nAnswer: r**(-35023\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1872) - (1 + sqrt(1872))**2)*2 - sqrt(1872))*-3.\nAnswer: -22476 - 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 39\/26*((-24)\/279)\/2\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 + 2*q**3 - 5*q**3 + (q**2 - 4 + 4)*(4*q + 0*q - 5*q) + 158*q**3 + 9496*q**2 - 9496*q**2 + (-2*q**2 - 2*q**2 + 3*q**2)*(-142 + 6*q + 142).\nAnswer: 149*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 5, 17, 37, 65, 101?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Let d(p) = 2967*p + 115. Let t(i) = 156*i + 6. Let q(x) = 6*d(x) - 115*t(x). What is w(q(j))?\nAnswer: 276*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14821 is divided by 7409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -26*a**3 + 6*a**2 + 5*a - 3. Let c(m) = -23*m**3 + 5*m**2 + 4*m - 2. Calculate 3*c(r) - 2*q(r).\nAnswer: -17*r**3 + 3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 13496*m + 6704. Does 32 divide y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + -4*sqrt(1100)*2 + sqrt(1100)) + (-2*sqrt(704) + 5 + sqrt(704) - (2 + sqrt(99) + 0 + sqrt(99))))**2.\nAnswer: -7308*sqrt(11) + 1813277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 221.1 - -27.9. Let t = -248 + b. Put -0.1, -9\/5, -0.3, t in increasing order.\nAnswer: -9\/5, -0.3, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37889 is divided by 5971.\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*j + 1744, -5*k + 3*j + 1394 = -9*k. Is -350 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -5. Let m = 9 + o. What is the remainder when 14 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 1805, 4 in ascending order.\nAnswer: -1, 4, 8, 1805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2996?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-3589)\/(-2))\/(4 + -5 - 11\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2 + 703024*a + 123560686144 = 0.\nAnswer: -351512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o + 7*o - 11*o + 5 + 3*o**2 - 2*o. Let y = -9 - -5. What are the prime factors of a(y)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-2475) + (0 + -1)\/((-462)\/(-84))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2\/3)\/r)\/r)\/r)**37*(r\/r**(-2\/21))\/(r*r**(-8)) assuming r is positive.\nAnswer: r**(-634\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 293749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-196)\/28)\/((-15)\/(-11)) + 5. Let r(c) = c**2 + 7*c - 1. Let l be r(-7). What is the smallest value in 2\/11, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 800254 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlyxdxxxk. Give prob of picking 1 d, 1 k, and 1 x.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 4\/48488867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1496161476 and 5211.\nAnswer: 5211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s**2 + 7 + 16 - 3 + s**2 as v + t*s**2 + n*s and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/14*18\/(-270)*5*2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -24. Let q = t + 2. Let w = q - 9. Which is bigger: 0.3 or w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/u**(-4))\/u))\/(u\/u**(-1\/7))*(u**(-5)*u)\/(u**3\/u)*(u*u**(-2\/7))**12\/((u**0*u)\/u)**(-3\/14) assuming u is positive.\nAnswer: u**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7665 and 1260?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 11, -1, -5, -3, -28 in decreasing order.\nAnswer: 11, -1, -3, -5, -7, -28","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 10*i + 2112, 4*a - a = -5*i + 1579. What are the prime factors of a?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -2*l + 29, 4*l - 32*r + 35*r = -27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k + 979 + 242. Let c = 112 + k. Solve -b + c - 22 = -4*j, 4*b = 2*j - 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 711 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39861 - -39861.1. Put -8\/61, r, 5, -5, 2\/15 in increasing order.\nAnswer: -5, -8\/61, r, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3)*((-135)\/10)\/9. Let y be 12\/26*(-2)\/(-16). Let g = 7\/104 + y. What is the nearest to -1 in z, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d + 4*b = -11*d - 21*d - 26, 5*b + 19 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/110 - (-68)\/110.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6008 or 6?\nAnswer: -6008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - p = 0, 10 - 2 = 2*p. Let v be ((-1 - j) + -69)\/(-1). Let u be ((-2)\/(-4))\/(v\/64). Which is the nearest to u? (a) -5 (b) 2 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014943 rounded to seven decimal places?\nAnswer: -0.0000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45557.84 meters to centimeters.\nAnswer: 4555784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n + 0*n)*(-6*n**4 - 14*n**4 - 26*n**4).\nAnswer: -46*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-six fifths of a millennium?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 27. Does 17 divide (j + -12)\/(2\/(-31))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/10515, 3\/2, -2\/9, -0.3 in descending order.\nAnswer: 3\/2, 4\/10515, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*j**4 + 1113*j**3 - 37592 wrt j?\nAnswer: 16*j**3 + 3339*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.236 + 29. What is n rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111102111 - 10?\nAnswer: -111102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/b*b)**(-11\/2)*b*b**6*b*b*b**(-3\/4)*b)\/((b**(-2\/25)*b*b**(-3)\/b*b*b)\/(b**(-2\/5)*b*b*(b\/b**4*b)\/b)) assuming b is positive.\nAnswer: b**(893\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2800 divide 3519810000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 52, 110, 168?\n\"Answer: 58*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 457*w. Let u(d) = d**2 + 229*d. Determine -3*t(v) - 7*u(v).\nAnswer: -v**2 - 232*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/(((-384)\/(-3040))\/12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -7, -6, -3, 2, 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -156283, -313074, -469863, -626650, -783435?\n\"Answer: u**2 - 156794*u + 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4 + 3*z + z + 0*z - 2*z. Is 8 a factor of k(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**2 + 8*h**3 - 3*h**3 - 6*h**3 + 9. Let j be z(-7). What is the third derivative of o**2 + 5*o**5 + j*o**2 - 6*o**5 - 4*o**2 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -46. Put d, -2, -1, 3 in increasing order.\nAnswer: d, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*h = 40, 3*h - 2 = 4. Suppose -b*i = -6*i - 235. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhru when four letters picked without replacement from ohhvuohvoohhmrrhh.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -0.5, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5639 + 1606 = 15*j. Let c be 0 + (-2 - -2) - -468. Find the first derivative of -c - o**4 + j + 3*o**4 wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 117*i + 7182. Determine z(161).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 45 - 45 - 3*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8713985 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + g**3 + g**3)*(-14*g + 16*g - 46*g) + (-2*g**3 + g**3 + 2*g**3)*(-g + 2*g + g) - 5*g**4 + 4*g**3 - 4*g**3.\nAnswer: -91*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.771 times 28\nAnswer: -77.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 370425 and 1703955.\nAnswer: 8519775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -13\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36062564.1 rounded to the nearest 100000?\nAnswer: 36100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 250\/(-440) - (-4)\/(-22). Let j = 0.32 + -0.323. Let h = j - -2.003. What is the nearest to -2 in h, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 27 - 614407*c**2 + 164685*c**2.\nAnswer: -449722*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 1, c: 1, f: 5, d: 6}. What is prob of picking 1 c and 1 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2*(-18)\/21*(-77)\/4 and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -0.1036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1754*z - 3519. Give l(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/95330 and -32\/772173.\nAnswer: 7721730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1895 - -2666. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b + 35 = 0. Suppose 3*r + b*h = 4*h + 69, h = 4*r - 117. Suppose -2*t - 224 = -r. What is t rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -6. Suppose -4*n - 3 = -0*n + 5*g, 0 = 5*n + g + o. Let h = 7 + n. Solve 0 = 3*j - i - i + 12, 5*j + 5*i - h = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1. Let v(k) = -3*k - 4. Let d(b) = -6*j(b) - v(b). Let z be d(-1). Let g(i) = -2*i - 2. Determine g(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 19*u**2 - 91*u + 15. Let v be g(-8). Suppose -216000 = v*q - 36*q. Round q to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 4, c: 4, p: 3, u: 4}. What is prob of picking 1 p, 1 y, and 1 o?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 276 + -270. Let k(w) be the third derivative of 0*w + 2*w**2 + 0 + 0*w**3 - 1\/40*w**g - 3\/40*w**5 - 1\/16*w**4. What is o in k(o) = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7*v\/(v**(1\/3)\/v*v)*v)**1 assuming v is positive.\nAnswer: v**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20146 or 20143?\nAnswer: 20146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -492.739*3.\nAnswer: -1478.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5000)*-3*-2)\/(-1*sqrt(1000)*2 + sqrt(1000)))**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q + 4. Let u = 17 - 13. Is c(u) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 1, x: 2}. What is prob of sequence cx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + h + 50, 4*r = -0*h + 4*h + 56. Let z = -33 + r. Suppose 5*w + 115 = 2*p, -2*w + 3*p - p - 46 = 0. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-110))\/(688\/(-516)*1\/8)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 + a + 1. Let m(h) = 54*h**3 + 102*h**2 + 30*h + 39. Calculate 30*d(l) - m(l).\nAnswer: -54*l**3 - 12*l**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, -9, -2 in decreasing order.\nAnswer: 4, -2, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 9:06 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 3. Let q(r) = 22*r - 17*r - 1 - 4. What is 5*f(z) + 3*q(z)?\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 836 is divided by 209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135\/((-90)\/(-6)))\/((-3)\/12*2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 29 (c) 95 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*2*6)**2*-1.\nAnswer: -16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -1\/3, -6, 0.0025?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + 221b?\nAnswer: 2209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17134917 to three decimal places.\nAnswer: -0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*b - 1902 = -1053 + 8791 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 68*h + 1057. Let w be g(13). Let n(x) be the third derivative of -x**4\/8 - x**3\/2 - 7*x**2. Let u be n(-2). Solve u*b = b - w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 + 10*s + 1. What is x(-3)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 7888.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/((-8700)\/(-45))*-4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(-1\/14) assuming d is positive.\nAnswer: d**(1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -27253.2 rounded to the nearest 100?\nAnswer: -27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 16*o + 4 = 18*o, k - 3*o + 18 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 15 - 41 + 16*h**3 + 12 + h**3.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5\/8 (b) -1249 (c) 2\/7 (d) 0 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2\/2 - 17215*o + 18367800.\nAnswer: 5*(o - 5566)*(o - 1320)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -625 - -1451. Calculate the lowest common multiple of 16 and u.\nAnswer: 6608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-2)\/(-3))*1917\/(-142). Let p = h + 6. What is the tens digit of p + 40\/12 - 322\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89056 and 52105856.\nAnswer: 8096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -331 or -372?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*k + 5*h + 20, -2*h = 8. Let o(q) = q**3 - q + 89. Is o(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23056 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 17, z: 2}. Give prob of sequence zw.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3910 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 - 81. Suppose -2*y - 63 = w. Is y\/(639\/(-159) + 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 r, and 1 o when three letters picked without replacement from {m: 1, v: 1, r: 4, i: 1, a: 9, o: 1}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1924 and 136?\nAnswer: -261664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 486 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 7*s**2 - 8*s - 12. What are the prime factors of t(-7)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4048 is divided by 2017?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160400 and 100250?\nAnswer: 802000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in meters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 10:49 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 3*c**2 + c + 2. Let u be i(-1). Let l(y) be the third derivative of y**3\/6 + y**2. Let f(o) = -o**3 - 3. Give u*f(z) - l(z).\nAnswer: z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 6, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-34)\/2 - -2)*-17?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = l. Suppose -l*d + 233 = 58. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24949623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + 2*a)*(0*a + a - 3*a)*(51*a**3 + 6015*a - 6015*a).\nAnswer: -204*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/7*7\/2. Solve -2 = 5*b - 4*i, b + 5*i - s = 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**16*c*c*c*c*c\/(c**(-43)*c)*c*c*c)\/(c\/(c\/(c*c**(-20\/9))))**(-2\/51) assuming c is positive.\nAnswer: c**(16043\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, c: 1, t: 2, y: 3, v: 3}. What is prob of sequence tvvy?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -691, -1091, -1415, -1657?\nAnswer: -1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 26535*u + 26538.\nAnswer: -3*(u - 8846)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k - 13*k + 16*k)*(-11 + 11 + 2*k**3 + 2*k**2).\nAnswer: 22*k**4 + 22*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*v - 3. Suppose 2*x + 6 = -4*s, 20 = 5*x - 5*s - 25. Suppose -d = 4*b - v*d, -3*b + x*d = 0. Which is greater: 0.3 or b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 8*k**2 + 0*k**4 + 1\/60*k**6 + 1\/30*k**5 + 0 + 0*k - 1\/6*k**3. Suppose 123*i - 122*i + 2 = 0. Calculate d(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s**2 - 4*s + 4. Let l be (51\/(-68))\/(1\/(-4)). Let t(p) = 7*p**2 + 3*p - 3. Calculate l*r(h) + 4*t(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/180596 and -155\/685308.\nAnswer: 103481508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*i + 8 = 0, 3*k - 4*i + 5 = -2*i. Let a be (-2 + k)*(-15 - 26\/(-2)). Solve 0 = -a*m - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1048 divided by 4.\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 46*j + 903. Which is the nearest to -1? (a) -3 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15752060 is divided by 127.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -38*m**3 - m**2 + 16*m + 12. Let o be s(-2). Solve -3*h + 253 = o for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 5. Put 0, 3, k in descending order.\nAnswer: 3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.34646 to 1 decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 = 4*s - r, -5*r = 2*s + 5. Suppose 0 = -s*y - 504 - 816. Let d be (6\/4)\/(y\/32). What is the third smallest value in d, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307236.\nAnswer: 2, 3, 25603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/573597 and -35\/399024.\nAnswer: 9177552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-8) - 2\/4. Sort -0.2, m, 0.06 in descending order.\nAnswer: m, 0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/2, -118\/285, 1, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwcw when four letters picked without replacement from rwrdrrrcwcrccrrr.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-75)\/10)\/15*0. Suppose 2*a = -3*k + 16, -4*k + 5*k + 2*a - 12 = w. Solve 5*b - k*b - 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1 + 3 = 0. Suppose 2*s = 5 - z. Solve 5*c = -5*x + 10, -3*x - 3*c + 16 = s*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35.89 at most 2779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 397 (b) -2 (c) -10 (d) 2\/7 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1026.2 + -1031.2. What is the third smallest value in -20, 6, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636101.\nAnswer: 19, 33479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2\/k)\/k)**(-8)*(k**(-1))**(-46) assuming k is positive.\nAnswer: k**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**3 - 6*w - 5. Let r(x) = -x**2 + x + 3. Let o be r(0). Let n(s) = 0*s - s - 1 - 8*s**o + 7*s**3. Give -3*n(p) + y(p).\nAnswer: -p**3 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 9692080?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 6*f - 72. Let l be d(-12). Solve l = 2*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 6596?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 12*w = -50. Let g(t) = 21 - 11 - 2*t - w. Let k(f) = 113*f. What is k(g(l))?\nAnswer: -226*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wppp when four letters picked without replacement from hpwxphhpwphpxpwwx?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*(-5 + 3))\/10. What is the closest to -0.2 in 2, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*o + 3*o. Suppose -5*t + 22 = o. Let u = 0.9 + -0.8. Which is the closest to u? (a) 0 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = c - n, -n + 17 = 3*c - 44. Let l = c + 23. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)\/(r\/((r\/(r**(-7)\/r*r))\/r)))\/((r*r**(-1))\/r**(3\/5)) assuming r is positive.\nAnswer: r**(127\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 3*z**2 + 5*z - 3. Let y be m(-5). Let x = y + 38. Round x to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 - 21*h + 38. Let b be k(2). Solve 0*o = 4*o - b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/120 and -65\/3589764.\nAnswer: 35897640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-14) - 8362\/18193. Which is the second smallest value? (a) -0.1 (b) s (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3438.901 decades?\nAnswer: 34.38901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 442 and 102.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 311*o**3 + 13*o**2 + 18*o + 23. Is t(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3106.62 and 426.86?\nAnswer: 3533.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -254*f - 7784. List the prime factors of y(-64).\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 - 3936*j**2 + 637380*j - 10215072 = 0.\nAnswer: 18, 168, 1126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 19. Let r be o(-7). Suppose 4*g + 2*p - 56 = 0, 40 = r*g + p - 6*p. Suppose -14*c + 470 = -g*c. Does 47 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, w: 3, y: 1}. Give prob of sequence uu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -106, -107, -108?\n\"Answer: -k - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-4 + 295\/75)*-6. Let v(z) = -z**3 + z**2 - 2*z - 2. Let t be v(-1). Let o = -11.98 - -12. What is the closest to o in 0.1, t, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1689431881 from 4.1.\nAnswer: -1689431876.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 2*a**3\/15 + 21*a**2\/5 - 43. Factor t(k).\nAnswer: 2*k*(k + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10518156 by 9.\nAnswer: 1168684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 12 (c) -2\/7 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1664 - 1664 + 358*f)*(0 + 1 - 2)*(0*f - 3*f + 2*f)*(-f + 5*f + 2*f) in the form o*f + i*f**2 + d + j*f**3 and give j.\nAnswer: 2148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/3 (b) -0.2 (c) 0.02 (d) 3784 (e) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/16 - -5\/16. Which is the second smallest value? (a) 3 (b) l (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -226 (b) 0.4 (c) -1\/9 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 3, 4, -4, -256 in decreasing order.\nAnswer: 4, 3, -3, -4, -6, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 11. What is the second derivative of -4*r**2 + o*r**2 - 3*r**4 - r wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 11. Let f be b(8). Which is greater: -107\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 70 = d. What is the greatest common factor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 - 6*r - 6. Let t(v) = -v**2 + v + 1. Let x(u) = -g(u) - 6*t(u). Let f(z) = -4*z**2. Determine x(f(n)).\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*4\/(-288)*162\/(-12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 13*f - 6. Let z(o) = 33*o**2 - 6*o + 2. What is the remainder when 120 is divided by z(f)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5782, 3, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -141, -272, -403?\n\"Answer: -131*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1333074 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*f = -9*f - 8, -1 = -3*o + 4*f. Are -1\/44 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6966 and 287154?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 4*n + 3. Suppose 5*x = -2*z + 16, -12*z - 3*x = -16*z - 20. Let l(g) = -g - 2*g + 0*g**3 + 1 + 1 - g**3. Determine z*o(i) + 3*l(i).\nAnswer: -i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1304.121 - -0.121. Let z = k + 1302.787. What is z rounded to 2 decimal places?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3289, -6580, -9871, -13162, -16453, -19744?\n\"Answer: -3291*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/317 and 21\/552848.\nAnswer: 552848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 + 2*l + 33*l**2 + 0*l**3 - 2*l + 7*l**3 - 22*l**2.\nAnswer: 7*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -128 times 7\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 2533 (c) -0.3 (d) 0.3 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762966348.\nAnswer: 2, 3, 311, 204439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -310 + 43?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11181*a + 2780.\nAnswer: 11181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 8 - 22*u - 4 to the form h*u + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2)**(-4\/13))**(1\/72)\/((((l**(-2)*l*l)\/l)\/l)**(-3\/4))**10 assuming l is positive.\nAnswer: l**(-1756\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8410251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**(-1\/3)*m*m)\/m))**(-1\/17)\/((m*m**(-1\/11))\/(m\/m**(5\/4))) assuming m is positive.\nAnswer: m**(-2513\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 - -4.8. Let a = -2 + k. Let l(u) = 7*u + 6. Let i be l(-1). Sort i, 3\/7, a.\nAnswer: i, 3\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -1424421044012?\nAnswer: 1424421044022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 3*s**2 - 6*s + 3. Suppose 2*b - p - 13 = 0, -2*b + 6*b = -p + 11. Calculate a(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**5 + 491*h**2 - 13*h + 68.\nAnswer: -40*h**3 + 982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 19*t = -52*t + 1760 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 8 = -4*w, -4*w - 11 = 5*k + 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22170)\/(-6) - -3) + (-1 - 3) a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132262*s**2 - 398678*s**2 + 133205*s**2 + 133207*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 + (-43)\/2)*((-27)\/(-63) + 4\/(-238)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6) - (-210)\/63?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -53, -267, -843, -1961, -3801, -6543, -10367, -15453?\n\"Answer: -30*b**3 - b**2 - b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*m + 4*m + 3*m)*(2*m + 0*m - m) + 3*m - 3*m + m**2 + 3*m**2 - 8*m**2 + 0*m**2)*(-1 - 15*m**3 + 15 + 14*m**3).\nAnswer: 3*m**5 - 42*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {a: 3, e: 3, l: 12}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 12:20 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-650)\/(-75) + 4\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21310316 to the power of 1\/2, to the nearest integer?\nAnswer: 4616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 266a94?\nAnswer: -266a8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2915\/1325*(-6)\/561.\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157764 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 13124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/20 + 5*a**4\/12 - 5*a**2\/2 + 48*a. Give q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 11 - 1 = 0. Suppose 0 = m + 2, 8624 = f*r - 0*r - 2*m. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2561, 2557, 2541, 2507, 2449, 2361, 2237, 2071?\n\"Answer: -w**3 + 3*w + 2559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 - (-5 + 4)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124573.\nAnswer: 347, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111120 (base 3) to base 9.\nAnswer: 2446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5937298 (base 10) in base 11?\nAnswer: 3395864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 11) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 1. Suppose -7 - 1 = -4*v. Suppose -4*l + 2 + v = 0. Let x(q) = -2*q**2 + 22*q - 52. Let t(z) = l*x(z) + 2*u(z). Factor t(j).\nAnswer: -2*(j - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + (-3*(sqrt(288) + 2) - (-5*sqrt(288)*2)**2) + sqrt(288) + -4 + -4 + 2.\nAnswer: -28815 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616671256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4935 and 519164820.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -31, -69, -123?\n\"Answer: -8*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 64, 17, -114, -329, -628, -1011?\n\"Answer: -42*v**2 + 79*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004104 rounded to the nearest 10000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (756\/30)\/7 - (-8)\/(-5). Suppose j - 12 = 3*j. Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213201000 (base 4) to base 9\nAnswer: -266020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 3*y**2 - 2*y + 1. Suppose -h - 2*t = -17, 4*h = -4*t + 41 + 23. Suppose -4*p = p + h. What is u(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + k - 3691842 + 3691869.\nAnswer: -2*k + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 7 - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828483039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 869 and 242.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118989 - 2447 = -3356*r + 190672 for r.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {y: 4, n: 3, v: 2, j: 4, e: 1}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.411 rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 130477.809555.\nAnswer: -130477.409555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 624736\/11 + -56794. Let k = -1.82 + -0.28. What is the biggest value in 1\/6, p, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2*i = 12, 5*i - 12 = 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -66072427 times 0.1\nAnswer: -6607242.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/8 - 2424\/(-48). Let l be (3 + (-5)\/4)\/(9\/36). Calculate the highest common factor of b and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1619, -3210, -4807, -6416, -8043, -9694, -11375, -13092?\n\"Answer: -z**3 + 3*z**2 - 1593*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-42)*3*((-171)\/(-6))\/19?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -37, -78, -135?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -736278 or -736276?\nAnswer: -736276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t. Suppose 15 + t = 5*y. Differentiate -g**4 - 9*g**y + 2 + 9*g**3 wrt g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1611 (base 7) to base 9\nAnswer: -786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 3. Let y be 0 + (10\/2 - 0). Suppose -v - 4*k = -y*v + 12, -2*k + 6 = v. Let x be ((-2)\/v)\/(2\/8). What is b(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 32.3, -0.9, -3\/2, 6, -2\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twenty-six sevenths of a week?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n + 2. Let x(b) = -7*b - 1. What is 6*h(t) + 5*x(t)?\nAnswer: t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 2:19 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -37. Let o = -1 - d. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 - ((-26 - -86) + -21 - 11)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26.195 + -0.845. Let u = j - 1.35. Let c = -25.25 + u. Round c to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 0*r**2 - 2*r**2)*(-5*r**2 - r**3 + 4*r**2 + 7*r**3).\nAnswer: -12*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**4\/4 + 10*o**3\/3 + 4*o**2 - 2*o + 128. Let r = 13 - 22. What is h(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**4 - 4098*f**3 - 166*f**2 + 92. Let c(m) = -m**4 + 2050*m**3 + 83*m**2 - 47. Let o(l) = 5*c(l) + 3*k(l). Find the third derivative of o(w) wrt w.\nAnswer: 24*w - 12264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -106106750.\nAnswer: -106106750, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1034, -2027, -2968, -3839, -4622, -5299, -5852, -6263?\nAnswer: -6514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 4*n**2 - 3*n**4)*(-4*n + 3*n - 2*n) - 9*n**5 - 5*n**5 - 3*n**5.\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 309653069 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-4)\/232*2). Let h = x - -29. Suppose h = 7*f + 177 - 1605. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 10328*j**4 + 2*j**2 - 927. Let y(q) = 41304*q**4 + 9*q**2 - 3709. Let n(k) = -9*i(k) + 2*y(k). Find the first derivative of n(s) wrt s.\nAnswer: -41376*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from rdhvvhvvzdvvvdvddddv.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-8))\/((-2)\/(-26)). Let t = -11 - i. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 3. Give p(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062888 rounded to 3 dps?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 3:41 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (68\/16)\/(1\/4). Let a = 55 + s. What is the highest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 242.59 + -243.59. Which is the third biggest value? (a) 0.08 (b) -3 (c) k (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from {x: 6, p: 7, c: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61155?\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*a - 100 = 476 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*k + 1 = 0, 2*v + 13*k - 4 = 8*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 21*t - 42. Let q be f(2). Let s be (6\/(-4))\/((-6)\/(-8)). Put 4, q, s in ascending order.\nAnswer: s, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 - 9*o**3 - 9*o**3.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**4 - 2*g - 2*g**4 - 2*g**2 - g**4 as y*g**3 + u*g**2 + d*g + z*g**4 + t and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13851 + -8212. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10400753*b**2 - 3654321 wrt b.\nAnswer: 20801506*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*y**3 + 30620*c**2*y**2 - c*y**3 - 47*c - 60*y**3 wrt c.\nAnswer: -4*y**3 + 61240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13*y**3 - 8*y**2 - 4*y - 15. Let k = -37261 + 37254. Let q(b) = -7*b**3 - 4*b**2 - 2*b - 8. Calculate k*q(m) + 4*f(m).\nAnswer: -3*m**3 - 4*m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.3296 - 838?\nAnswer: -847.3296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-14))\/((-76)\/(-532)))\/((56\/(-14))\/216).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.287 times -18.1\nAnswer: -5.1947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + -24 + 28 + -8 + 16 + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 249*p + 5634. Let l be y(-143). Sort -3, l, 5 in decreasing order.\nAnswer: l, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50098\/3 + 16700. Is 5191 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652 <= 1665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223*x**5 - 2*x + 50?\nAnswer: 4460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -6. Let h be 4\/(-126) - 1*(-1)\/(-9). Let p = 29 + -29.1. What is the smallest value in h, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21211002 (base 3) in base 14?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + 2*sqrt(475))*2)**2.\nAnswer: 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - -2) - (4 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (62 + 56 + 99)*(-2*h**2 + 4*h**2 + 2*h**2) as d*h + t*h**2 + x and give t.\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/147 and 59\/5621.\nAnswer: 118041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 - 4 = 4*v, -5*v = 3*s - 15. Let z(x) = -s - x - 2 + 1 - 3. What is z(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + (-52)\/(-16))*28. Let s be (-253)\/(-77) - (-5)\/(o\/(-2)). Suppose -180 = m - s*m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 5*r - 10, r = 5*s - 32. Suppose 16758 = 5*z + 5*m - s*m, 5*z - 16746 = -3*m. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 18. Let p(x) = -2*x**3 + 5*x**2 + 7*x. Let k(d) = d**3 - 3*d**2 - 4*d. Calculate g*k(c) - 6*p(c).\nAnswer: c**3 + 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 169995512*g + 3612309262517768.\nAnswer: 2*(g + 42498878)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k + 11*k - 6*k - 6 + k**2 - 38 - k to n + z*k + m*k**2 and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010 (base 2) to base 11.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (-26 + 6) - 26 - 37\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*c = -38, 0 = 57*r - 56*r - 2*c + 11. Solve -5*v = -r*g, 74*v = -5*g + 71*v + 34 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.308049213 to two dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 54, 124, 194, 264, 334?\n\"Answer: 70*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35951485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -101001?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14630 - -14984. What is the remainder when 1098 is divided by i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(112) - sqrt(112))**2*-1 + sqrt(112) + -3.\nAnswer: -1795 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(9\/(-3) - -3). Suppose -h + 3 = -z*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azmskkj. What is prob of sequence amj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.8, 4, 4\/7.\nAnswer: -10.8, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 244*c + 5. Let z be b(-7). Let h be 2 - -2 - z - 4. Suppose -3*q + 964 = -h. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -159646\nAnswer: 5\/159646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 11:22 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 996 is divided by 493.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53691.36494 + 53692. What is x rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*x - 4 + 0 = 0, -i + 2 = -3*x. Suppose -4*q = -3*q + i*v - 16, v + 1 = q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 205, 306, 407, 508?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 13*c + 12. Let n be (-3)\/c + 21\/6. Suppose -n*p = 3 - 7. Sort p, -3, 5.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*5\/(5\/(-4)). Let w = 9 + u. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*((y\/y**(1\/5))\/y)\/y*y))\/y)**(-24)\/(y\/((y\/((y*y*y**3*y*y)\/y))\/y)*y*y*y**7))**25)**(2\/29) assuming y is positive.\nAnswer: y**(160\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 12, 4, -1, -76 in decreasing order.\nAnswer: 12, 4, -1, -6, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 + -6 + (-2 - -1)) - -16.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 = 1. Let z(n) = 4*n**3 + n - 2*n**2 - 3*n**3 + n**p. Calculate z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2)*5 - sqrt(2)) + 3*sqrt(76)\/sqrt(4).\nAnswer: 13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/57443 and -25\/26079122.\nAnswer: 26079122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.51 - 0.21. Let c = -0.04 - g. What is c rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0.22, 83, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7576548?\nAnswer: 2, 3, 7, 90197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100001100001111101111 (base 2) to base 3.\nAnswer: -111220110102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 3*h**3 - 2*h**3 - 2)*(50 + 88 - 78).\nAnswer: 60*h**3 - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2769*c**2 + 1363*c**2 + 1369*c**2.\nAnswer: -37*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -268710, -537457, -806200, -1074939, -1343674, -1612405?\n\"Answer: 2*i**2 - 268753*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734114255?\nAnswer: 5, 7, 31, 173, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -2. Let a be (-28)\/10 + (-4)\/(-5). Let s = d - a. Does s = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*b = -37, -6*t - 7 = -4*t - b. Let h = 16 + -10. What is the smallest common multiple of (t\/(-4))\/((-918)\/132 + 7) and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, k: 5}. What is prob of sequence kn?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21666, -79434, -175714, -310506, -483810?\nAnswer: -695626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 1076835.99?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/271 at least -144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4695 - 75297 = -82*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -86 - -8875?\nAnswer: 87cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 8*h + 8. Let n be d(7). Suppose 2*i - 5 = -n. Solve 0 = i*k - 1 - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -378968193 and 7006?\nAnswer: 378975199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) -58 (c) 2843\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-82)\/(3 + (2 - 3)). Round q to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-480)*5*-8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 310 = 5*b. Let j = 64 - b. Suppose -3*z + 3 = -o - 6, -3*z = j*o - 9. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34565773.\nAnswer: 11, 3142343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 10. Suppose -5 = f*b - 3*b. Suppose -2*a + b*a = -3, 7347 = 5*o - 2*a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c - 20. Let h be 0\/(-4 - -7 - 2). Calculate k(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2247\/14*12\/(-63) + 8\/14?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**2 - 22*j + 22. Let w(x) = 15*x**2 + 45*x - 45. Let c(r) = -13*t(r) - 6*w(r). Let s be c(-17). Calculate the greatest common divisor of s and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25058.82 months?\nAnswer: 2088.235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 14. Suppose -5*t + 2*f = f - 47, 3*t = 2*f + y. Is t greater than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n\/n**(3\/5))))\/(n*n*n*(n\/n**(-2\/5))\/n))**(-7) assuming n is positive.\nAnswer: n**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + -1.4. Let n = m - -2.6. Let s = 0 - 2. What is the second biggest value in -5, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.2 times -0.2\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*b = 7*b - 329, 0 = -4*d - b + 1349. Suppose -d = -25*l + 23*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3270588300 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 12*u**2 + 2*u + 2. Let z(c) = c**2 + c. Let h(b) = -l(b) + 6*z(b). Let i(x) = 4*x - 19. Let k be i(6). What is h(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 528.92541s?\nAnswer: 0.006121821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4377718*p**5 - p**2 - 4719113*p?\nAnswer: -87554360*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1304293 + 1304238 = -11*f. Let i = 2 + -2. What is the closest to -8 in i, 2\/3, 0.3, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 249\/333 - (-2)\/(-3). Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*m + 8 + 11, -m + 8 = -4*u. Let h be (-628)\/(-20) + (-4)\/10. Suppose -m*p + h = 23. Solve -b = p*b + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at least -7.672238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1266, -1261, -1256, -1251?\n\"Answer: 5*m - 1271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24235*k + 7115 wrt k.\nAnswer: -24235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86729?\nAnswer: 86729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215 (base 6) to base 10.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 a, and 1 v when three letters picked without replacement from cjvhjaay.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145\/6 + -24. Let i be (-52)\/(-27) + 78\/1053. Suppose 4*y = -4*d - i - 6, -2 = 3*d - y. Which is the closest to d? (a) 2\/3 (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b - 6*b)*(-2 + 1 - 5) + (-b + 0*b + 3*b)*(-2 + 2 + 4).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3311.\nAnswer: 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**3 - 34*t**2 - 3*t + 26. Let q(x) = x**3 + 11*x**2 + x - 9. Let z(c) = 2*p(c) + 7*q(c). What is the units digit of z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -25, -162554, 2 in increasing order.\nAnswer: -162554, -25, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 18605*k**2 + 12401*k - 6201.\nAnswer: (k + 1)*(k + 6201)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 83.47918 micrograms?\nAnswer: 0.00000008347918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let v be (3 - b) + 0\/(-2). Let y be -5*(5 + -4) - -10. Solve -2*z + 0*c - 31 = y*c, -4*z - 5*c - 37 = v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5506987.2 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*n = -807 + 511 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 841 = -j - 1691, j - 1058 = -5*n. Solve n*i + 4 = 216*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c512 (base 14) to base 10.\nAnswer: 379668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 1 - 4)*(4 - 5 + 2) + 0 - 4 + 2)*(4*x**4 - 40 + 40) + (-2*x + x**3 + 2*x)*(4*x - 2*x - x) as s*x**2 + q*x + a*x**4 + n + y*x**3 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 77\/752?\nAnswer: 77\/752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.2, -0.1349 in ascending order.\nAnswer: -0.2, -0.1349, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73492842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 12:58 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7 = 3*w, -5*b + 5*w + 3 = -2. Suppose 0*q - b*q + 2*f + 109210 = 0, 2*q = -f + 109195. Round q to the nearest 1000.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03782 to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3622033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -4, 170617, -5, -2?\nAnswer: 170617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 8*z - 1. Give n(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -4\/7, -5, 5796?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 12*p**2 + 14*p - 4. Let d be f(-11). Let w = -30 - d. Suppose w*m - 127 = 580. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -34. Let p = -0.08 - -0.08. Let n = p - -1. Which is the nearest to n? (a) 3\/2 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111221 + 111111222?\nAnswer: 111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 0 + 0*k**3 - 3\/4*k**4 - 23*k + 18*k**2. Find the first derivative of a(t) wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a + 50*a = -2604244 + 9650433. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31288304?\nAnswer: 2, 937, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f = 5*v - 55, 4*f - 30 = -2*v. Let u = 21 - 14. Is v > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 2*z**2 - 45*z - 71. Is b(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1214300 (base 5) to base 6\nAnswer: -254455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1537 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 95*k - 31. Let u(b) = b - 12. Determine r(m) - 3*u(m).\nAnswer: 92*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 131 = 103 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 200022041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 3.5. What is the second smallest value in -0.18, 2\/3, 4\/3, n?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 227, 838, 1849, 3254, 5047, 7222?\n\"Answer: -j**3 + 206*j**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**6\/240 - a**5\/12 + a**4\/6 - a**3\/3 + 2*a**2 - 74*a. Let z(y) be the second derivative of s(y). Determine z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 41*r + 43. Let m(k) = -18*k - 21. Let c(n) = 3*g(n) + 7*m(n). Calculate c(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 10:42 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6962.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 = -4*f - 4, 8 = 2*b + 4*f. Find the first derivative of -5 + 5 - w + 11 - b*w wrt w.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -p - 24, 2*p - 9*i + 33 = -6*i. Let b be (-2)\/32*(p\/(-1) + -11). What is the closest to 1 in 1, 4, b, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 19384?\nAnswer: 19384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -31*r - 14 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -349*b**2\/2 + 69*b + 321. Find the first derivative of m(h) wrt h.\nAnswer: -349","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1800416 or -5401250\/3?\nAnswer: -1800416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -117 + -63. Let i = 179.999887 + l. What is i rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 97.9 and -48005592250.\nAnswer: -48005592152.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 3641232.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -320803 - -4528775953\/14117. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 27073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/2332 - -128269\/20988. Let r = -864\/13 + 6944\/117. Find the common denominator of r and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + t = -45, -4*d + 60 = -4*t + 9*t. Solve 3*p + d = -0*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*m = -10, -2*f = 4*m - 8*m - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41.2 + -38. Let r = 3 - s. What is the closest to 0 in 0, -2\/9, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 45*y - 40*y + 15 = 62, i - 13*y - 2 = 43 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c. Let u(g) = 4*g - 10. Let d(v) = -6*m(v) + u(v). Let t be d(-5). Let f(i) = i**2 + i - 2. Give f(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32920\/17283 + (-2)\/(-21). Suppose 0*z**r + 0*z + 0 + 4\/7*z**3 - 4\/7*z**4 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7835.20031 rounded to the nearest 10?\nAnswer: 7840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1331322 (base 4) to base 5.\nAnswer: -224213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*y = 20, y + 14583 - 14572 = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekw when three letters picked without replacement from {k: 1, t: 1, w: 1, m: 1, e: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6b7 (base 12) to base 15\nAnswer: -46d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a5 - 1487?\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26143907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by (-15)\/45 - (-127)\/3.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3437 + 3436.947. What is the fourth smallest value in l, 0.2, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 200.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 42 = -2*o. Solve -3*m = -3, -5*t + 11 = m - o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*t - 2*n - 19 = 74*t, 0 = 5*t - 5*n + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -54*36\/(-8) + -3. Let l be 3\/4 - 156\/s. Let k = -7 - -3. What is the biggest value in k, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 58 = h + 19, -4*v = -3*h - 66. Which is smaller: 14 or v?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o - 10 + 25 - 3*o. Let b be r(-3). What is the tens digit of (b + 1 - 0\/9) + 262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5 - 7. Suppose v*r - 23 = 3*h, 4*r + 0*h = h + 61. What is the remainder when 31 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s + 1. Let v be d(-2). Let t = v + -8. Solve t*b**4 + b**5 - 4*b**4 + 2*b**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) -0.01 (b) 6\/31 (c) 0.1 (d) -0.17 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (1356\/44 - -2). Let p = 35 + i. Which is greater: -4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + w**2 + 6. Let y be z(0). Let a be (0\/(-1))\/(y\/3). Let t(o) = o**2 + o + 12. Let m be t(a). Solve -3*n = -2*q + 8, n = q - 4*q + m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1999\/1260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14\/23, 7, -0.3, 5, 2\/259 in decreasing order.\nAnswer: 7, 5, 2\/259, -0.3, -14\/23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*b - 67*b - 6 = 0. Let a be ((-3)\/b)\/((-12)\/32*1). Solve -r + 1 = -2*k - 0, 3*r - a*k + 3 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 5*p**2 - 3*p + 7. Let m be d(-4). Suppose 2*l + 36 = 4*r + r, -l - 22 = -m*r. Solve r = -5*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -329062143 > -329062145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 4*r + 65. Let j be i(6). Suppose -j*q + 3761 = -4*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from ggpptptpt.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316 and 528984?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 885.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 126\/2161 = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885*j + 61955 = 3800*j - 54645 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from mjjbbbjjpblmbpjjbm?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u**3 - 4*u**2 + 5*u - 3. Let j(q) = 6*q**3 + 4*q**2 - 4*q + 3. Calculate -5*j(h) - 4*m(h).\nAnswer: -2*h**3 - 4*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 82023 > 81991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 19, 2\/25, -2\/41?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from {y: 1, u: 8, r: 4, q: 1, l: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**3 + 3*b**3 - b**3)*(-2 - 2 + 0) - b**2 + b**2 + b**3 + 0*b**3 + 0*b**3 - 2*b**3 to z*b**3 + p*b + y + q*b**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, j: 7, i: 2}. What is prob of picking 2 i and 1 j?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124984758?\nAnswer: 2, 3, 3307, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -1) + (1 - -25) + -100 + 85\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + m = 2, 28 = 5*m + 18. Factor -8\/7*v**4 + 0*v + 0*v**2 + 2\/7*v**5 + t + 8\/7*v**3.\nAnswer: 2*v**3*(v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 4*t + 11*t)*(73*t - 132*t - 3*t).\nAnswer: -434*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1040\/101 or -11?\nAnswer: -1040\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426 a factor of 3414602632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 27 + 2 = 0. Let s be (-310)\/110 + 2 + (-144)\/66. Sort -1, u, s, 3 in descending order.\nAnswer: 3, -1, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/148 and 57\/10?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etee when four letters picked without replacement from {t: 9, e: 9}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/151490610 and 71\/18.\nAnswer: 151490610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 32. Let n = 8.004 - 8.404. Which is the second smallest value? (a) n (b) -51\/4 (c) 3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25995.\nAnswer: 3, 5, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 34, 1, 3, 0, -11 in ascending order.\nAnswer: -17, -11, 0, 1, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -1a?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2633*l + 1077*l - 8763*l to the form z*l + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.24969 + 11116.\nAnswer: 11117.24969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*m - 69*m + 860. Suppose 62 = 42*b + m. Calculate the highest common divisor of b and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/64 and 121\/72?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 123367889 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -2, 24, -0.131243?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 5844.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 17*m + 40. Let s(p) = -4*p - 10. Determine -2*b(r) - 9*s(r).\nAnswer: 2*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (1 - -1 - (21 + -23))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k + 3*g = 4, -5*k - 5*g + 20 = 0. Let b be -14 - -5 - (-18 - -3). Solve 3*v + 2*l + b = 2*v, k*v - 3*l = 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 127, 279, 531, 883, 1335?\n\"Answer: 50*p**2 + 2*p + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) 0.35 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40, -69, -98?\n\"Answer: -29*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 25.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 - 2510*n\/9 - 17668\/9.\nAnswer: 2*(n - 1262)*(n + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/19*(55\/(825\/360) + -23)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 42 = -3*d. Suppose -d*f + 6698 - 2276 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3949*h - 3964*h + 7932*h = -570 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2. Let j(s) = 3*s - 22. Let l(r) = -2. Let a(n) = 2*j(n) - 22*l(n). Determine a(i(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -19*c + 174. List the prime factors of z(-25).\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 485*g. Let u(l) = -3*l**2. What is c(u(w))?\nAnswer: -1455*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(27\/12) + -1. Suppose 0 = -2*d - o + 122, -k*o - 114 = -2*d - 0*o. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 + 3648*b - 4.\nAnswer: 3648*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1125704 and -5\/1266417?\nAnswer: 10131336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1861 != 42.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + -66 + (-14 - (17 - 22)) + 9.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(13) + sqrt(13) - (1*sqrt(65))\/sqrt(5))*-3.\nAnswer: 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**3 - 5*t**3 + 4*t**3)*(-33 - 3*t + 33 + (1 - 4 + 1)*(-3*t + 5*t - t)) to z*t + m + i*t**2 + y*t**4 + l*t**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h**4 - 369*h**3 - 14493*h**2 - 30816*h - 6804 = 0.\nAnswer: -21, -2, -1\/4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -35004 (base 6) in base 2?\nAnswer: -1001101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 137770\/(-35) - 10\/(-35). What are the prime factors of -5 + (u\/4)\/(-3)?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*c + 86*c**4 - 2*c**2 + 19*c + 137*c - 88*c**4 to the form d*c + m + v*c**4 + z*c**2 + g*c**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -405973, -811945, -1217917, -1623889, -2029861?\nAnswer: -2435833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 2982.\nAnswer: 17\/1491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 143 + 173. Suppose -y = -3*t - 73. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0. Let z be (-1)\/(2\/30*9). Which is the closest to 0.1? (a) w (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bddmdimqqmbdidd. What is prob of picking 2 d and 2 m?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00446074 to five decimal places.\nAnswer: -0.00446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 0.4 (b) -0.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10792 + -6920. Calculate the greatest common divisor of j and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 12*y - 1. Let b(g) = -g**2 - 48*g + 4. Let o(s) = b(s) + 4*l(s). Let t(z) = -1303*z. Determine o(t(j)).\nAnswer: -1697809*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/3, -864, 0.2, -5, -2.1, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*r**3 - 37*r + 37*r)*(-8*r - 6*r - 14*r).\nAnswer: 1624*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2 + 26. Let c = k + 59. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, j: 14}. What is prob of picking 2 j and 2 n?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 + 116. Let z = 24 + -17. Let p = -3 + z. What is the biggest value in 0, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2740622967.\nAnswer: 3, 37, 193, 42643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143 + -24?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-48)*-1*(61 + -55).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a4 (base 12) in base 7?\nAnswer: -532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + t**2 + 5*t**2 - t**2 - 2*t**2)*(-3*t + 4*t + 2*t)*(9*t - 47*t + 4*t) to j*t**2 + p + o*t**4 + u*t + a*t**3 and give a.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*d + 26*d + 806. What is the remainder when d is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*a**3\/5 + 15*a**2 + 36*a\/5 - 12\/5 = 0. Calculate a.\nAnswer: -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-1)\/l)**(-1\/18)\/(l**(1\/4))**(-41) assuming l is positive.\nAnswer: l**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -120714215 and -503576?\nAnswer: 120210639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -8*r + 25. Calculate the remainder when 13 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 + 1 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, l: 13, q: 1}. Give prob of picking 2 j and 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338174?\nAnswer: 2, 353, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 10*g + 3. Let y be r(-5). Calculate the greatest common divisor of y and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2\/3*l - 1\/3*l**3 + 0 + 1\/3*l**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4) - (964\/(-336) - -3). Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37139?\nAnswer: 37139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32719299 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 162623 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 + -153 - (1 + (-2 - 7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24675\/(-7)*(-7)\/12. Let b = p - 2045. What is the common denominator of -77\/2 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/157 and -4\/1099?\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10 + (-704)\/(-448) + 4\/(-7). Let q(t) = t**3 + 8*t**2 - 6*t - 11. Give q(g).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/((-73)\/(-2628))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6264531, 12529068, 18793607, 25058148, 31322691?\nAnswer: 37587236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3414383871044.\nAnswer: -3414383871049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4 = -3*h, -3*h - 2 = -5*j + 6. Let t(g) = g**2 + 4*g + 15. Calculate the remainder when t(-4) is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4361\/2 - -2139. Let f = -40 - y. What is the third biggest value in 3\/4, -1\/4, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jttjojjloltlojljt. Give prob of sequence jt.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2 = -5*m - n, -10 = -5*m - n. Suppose -m*x = -6*x + 18. Suppose 0 = 10*d + 4*d - 210. Calculate the remainder when d is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*w - b - 6379 + 37 = 0, 0 = 2*b - 4*b - 4 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4206 + -3953. What is the remainder when g is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13291\/3 - 4430. Sort -0.07, -0.01, m, -2\/5 in increasing order.\nAnswer: -2\/5, -0.07, -0.01, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-96 - -48 - -54).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 242 - 236. Let t(u) = -2*u**2 - 3*u. Let x(h) = 4*h**2 + 7*h. Calculate g*x(r) + 13*t(r).\nAnswer: -2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + (14 + -4 - -31788).\nAnswer: 2, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*l = l - 61, 3*f - 3*l - 105 = 0. Calculate the remainder when f is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1 + 331 + -2 + 2)*(-4 - -13) and 198.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + -8)*(-5)\/(300\/(-16)). Which is the third biggest value? (a) -3 (b) -1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73032\/24365531 - 87419839570225\/7070097399208. Let t = 1026\/83 + y. Let h = -81281\/3496 + t. Find the common denominator of -79\/12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmprprpm. Give prob of sequence rm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -75, -104, -115, -102?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 1, d: 1, y: 2, c: 1, q: 1}. Give prob of picking 1 q and 1 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 13*z - z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 70*n + 52. Give q(-4).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c + 54. Suppose 7*w - 2*w - 21 = 3*j, -2*j - 13 = -3*w. What is the least common multiple of 40 and r(w)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c. Let b be (-47)\/(-7) - 10\/(-35). Let d = c + b. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.421? (a) 4 (b) 13796 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + 19\/(-57). Let j = 4 + -6. Which is the third biggest value? (a) j (b) m (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.7 - -4. Let t = m + -0.2. Which is greater: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a millennium in centuries?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 9*n**5\/5 + 20*n + 14. Differentiate t(d) wrt d.\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or -9029?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -16. Suppose 4*h = 2*y - 5*y + a, -5 = 2*y - 3*h. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 4. Suppose -c*q + 21 = -0*k - 3*k, 0 = -4*q - k + 8. Solve -9 = y - q*x, -5*y - 4*x + 12 = -0*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*o**3 - 2*c**2*o*w + 36*c**2*w**2 + c*o**3*w - 5*c*w - 13*o**2*w**2 wrt c.\nAnswer: -2*o**3 - 4*o*w + 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*r - 1217628 + 466668 = 0. List the prime factors of r.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - 1. Let u be x(-1). Suppose 0 = -p + u*p. Find the second derivative of -7*y**2 - y + 0*y**2 + 0*y + p*y wrt y.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -66, -19, 2 in decreasing order.\nAnswer: 2, -1, -19, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6860536 is divided by 730?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -10*a**3 + 741*a**2 + 14*a. Let g(q) = 3*q**3 - 247*q**2 - 4*q. Calculate 7*g(r) + 2*j(r).\nAnswer: r**3 - 247*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 23 + 13 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2943778*j**2 + 146610*j + 1.\nAnswer: -5887556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**5 + 410*m**4 + m**3 - 6250*m**2 - 7 wrt m?\nAnswer: 180*m**2 + 9840*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 = 2*d - 5, 0 = 5*d + 4*v + 8. Suppose -4*k - 11 + 63 = d. Suppose -4*s + k = -3. Solve -6 = s*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + -8 + 10 + (15 - 1). Solve 5*o = -x - 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5791926?\nAnswer: 2, 3, 7, 239, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 7 - -1) + -2. Suppose 0 = 6*c - p*c + 9. Find the first derivative of -c - n**3 + 3*n**3 + 9 wrt n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 10 = -w, -w - 5*f + 0 - 2 = 0. Suppose 4*c = w*c - 8. List the prime factors of 9 + 3*c\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 11 = 3*i. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000142008715 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c. Let k(j) be the second derivative of -5*j**4\/12 - 124*j. What is y(k(r))?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 5*d**2 + d - 2. Let g be m(4). Let j be (1\/3)\/(3\/g). Suppose -3 = -j*k - 5. Which is the closest to k? (a) -3\/8 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789605870 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + 5 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/2*3372936\/(-126). Suppose -c = -2*d - 32*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 332 - 138. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/9 - 744\/(-837). Find l such that 2\/9*l**2 + m*l + 10\/9 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose -16 - g = -3*q. Find n such that 2*n - n**4 + 12*n**3 + q*n**3 - 12*n**2 - 7*n**4 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {u: 2, b: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 14. Let f(g) = -4*g**2. Give z(f(q)).\nAnswer: 8*q**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 + 282 = w. Let c(x) = -3055*x - 12184. Let l be c(-4). What is the highest common factor of l and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35739341\/8 - -4473704. Let v = -6274 + m. Calculate the common denominator of (-338)\/(-650)*(-110)\/(-4) - 7 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/131 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (sqrt(1539) - (sqrt(1539) + sqrt(1539) + -1))**2.\nAnswer: -18*sqrt(19) + 1545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5737685\/22 + -260800. Find the common denominator of i and (22\/4*-7)\/124.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*a - 10 - 2, -4*o - 16 = -2*a. Let k(p) = 3*p**2 + 2*p. Let s(b) = 12*b**2 - 28*b**2 + 17*b**2. Suppose 0*i = 3*i - 3. What is i*k(q) + o*s(q)?\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1130 - 1126. Let h = -1 - -3. Solve -6*s - 28 = -2*s + 5*z, -m*s - 16 = h*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 844 divide 394467377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 98*t - 912. Calculate the remainder when n(15) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5011012+30007476\nAnswer: 24996464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45 * 160.244\nAnswer: 7210.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**2 - 2*w**3 - 35*w - 4*w**2 + 0*w**3 + 34*w as h + a*w**2 + f*w**3 + d*w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 0.07 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x - 1. Let y(f) = -8*f + 2. Let o(c) = -3*k(c) - 2*y(c). Let z be -1*(2 + 0)\/(-2). What is o(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5 + f**4 - 32806*f**2 - 219550*f + 8?\nAnswer: 20*f**3 + 12*f**2 - 65612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112247272 a multiple of 2554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88940 is divided by 563?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7519, -14725, -21931, -29137?\n\"Answer: -7206*z - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 12*s**2 + 19*s + 13. Let v be x(10). Suppose 0 = -v*r - 4*t - 20, -r + 5 = 5*t - 6*t. Let d be (-24)\/27*2\/(-8). Which is bigger: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2106 and 19590012?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 4*b + 34*b**3 + 0*b.\nAnswer: 34*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 + 2*b**3 + 1 - 2*b**2 + b**2 + 0*b**3. Let r be ((-1)\/(-2))\/(1\/4). Calculate v(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4953 - -4952.8. What is the third smallest value in i, 1, -3, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-28)*-4 - 8\/(-70).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**6\/120 + t**5\/60 + t**4\/12 + 2*t**3\/3 + 8*t**2. Let a be b(-3). Let d = 61 - a. Is 23 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 371*x + 1331*x - 785*x as f*x + s and give f.\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 + 224 = 43*g - 153 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/(2\/(8\/2)). Calculate the highest common divisor of r and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + w - 1. Let c(k) = 6*k**2 - 12*k + 12. Suppose -12 + 317 = -31*r - 67. Calculate r*n(q) - c(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68829 and 1113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -778012 (base 10) in base 3?\nAnswer: -1110112020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 3b?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + -2.2952364.\nAnswer: -2.3752364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 34*s**2 - 3 + 28*s**2 + 35*s**2 - 136*s**2 + 33*s**2 as f*s**2 + w*s + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3075023 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(((((y\/(y*y\/y**(-16)))\/y*y)\/y)\/y)\/y*y)*y*y**(-22)\/y)\/(y\/((y**5\/y)\/y))**(-31) assuming y is positive.\nAnswer: y**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16715 is divided by 5570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1249 - 1)\/(2\/(-1120)). What is j rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -a + 5, -2*d + 2002 = -8*a + 2110 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 divided by -4?\nAnswer: 239\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/4026715 and -33\/20?\nAnswer: 16106860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -7) + -1 - -29?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*z**4 + 3245*z**3 + 930*z**2.\nAnswer: -5*z**2*(z - 93)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*d + 18 = -2*d, -5*d = 5*q + 10. What is the common denominator of (-221)\/6 + q\/6 and -5 + 1 - (78\/72 - 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 4*q**2 + 2*q + 1. Let m be f(1). Suppose m = 11*d - 5*d - 852. What is the least common multiple of d and 2?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -k, k + 2*k - o = 0. Suppose -2*g - 2*g = k. Solve -4*a - 1 + 9 = g, a = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8702 (base 14) to base 2\nAnswer: 101101100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 30. Let x be s(26). Suppose 4*t + 2 = l - 19, -2*l - x*t = -6. Solve -g + 5 = l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -12*u - 1. Let t be 0\/(4\/(-7 + 3)). Suppose -3*s + 6*s - 42 = t. Suppose 5*f + 17 = -3*i, 4*i + s = -f + 3*f. Determine b(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2343*d**2 - 1683426*d + 306000.\nAnswer: 3*(11*d - 2)*(71*d - 51000)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - s - 14. Is z(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -4. Let c = 5857 + -58627\/10. Find the common denominator of c and (-20)\/u + 218\/(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - -92. Suppose -i*g - 4*o = g - 15535, 3*o - 12 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(6\/(-18)*14).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(19)*2 + -4.\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in 0.5, -0.3, -0.2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6799861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0817, -5, 226, -1, 4 in increasing order.\nAnswer: -5, -1, 0.0817, 4, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -2*n**3\/3 + 57*n**2 - 12. Factor o(b).\nAnswer: -2*b*(b - 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 0 + o + 0. Let w(k) = -k**2 + 5 - 19 + 14. Determine c(w(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djtstjjijd. Give prob of picking 1 d, 1 s, and 2 t.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3386.755 millilitres in litres?\nAnswer: 3.386755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 7*m**2 - 23*m - 27. Let p be i(-9). What is the greatest common divisor of p and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**(2\/19))*l*l*l**(-1\/8)*(l**(2\/7)*l)**(18\/5) assuming l is positive.\nAnswer: l**(35159\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351)*3)\/(sqrt(1029)\/sqrt(7)).\nAnswer: 9*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 8:13 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-15) - (-13)\/5. Suppose 94 = q + 4*d, r*d = -5*q + 8*d + 595. What are the prime factors of q?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01921601 and -3.\nAnswer: 0.05764803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -893*s - 1551 - 13630 = 0 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -589*z - 2093*z + 29555 = 14*z - 45933 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*h = 29, -h = 5*w + h - 23. Let s = w - 1. Suppose s*j = -d + 5, 4*j = j - d + 9. Solve 4*y - 2 = 2*i, -y - y - j = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*a**2 + 5*a**3 - 52*a**2)*(-3 - a**2 + 3)*(0 + 3 - 4).\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63 + 27*p**3 + 63 + (p + 2*p + p)*(-4*p - 32*p + 14*p)*(1 - 1 + 2)*(0 + 0 + 2*p).\nAnswer: -325*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three thirds of a hour?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*n - 2404, -5*n + 2*n + 1434 = 3*y. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v**5 - 9513*v**4 + 848973*v**3 - 1946187*v**2 + 1474200*v - 367500 = 0. Calculate v.\nAnswer: 2\/3, 1, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.13, -2, 3\/2 in increasing order.\nAnswer: -2, -0.13, -0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72 - 5*v**2 + 6*v**2 + 15*v + 3*v**2 - 72 to the form l*v + j*v**2 + x and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 + 0.57. Let t = w + -0.8. What is the closest to t in -2, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**8\/1344 + c**7\/420 - c**6\/120 - c**5\/120 + c**4\/32 - 14*c**2 - 1. Factor g(o).\nAnswer: o*(o - 1)**2*(o + 1)*(o + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.82 - 0.85. Let p = -1.892 - -0.112. Let q = g - p. What is q rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 4\/23, -1, -0.3, -55602?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 2:11 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*0 + (116 - 105). Suppose 307 = t*p - 45. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + m**2 + m - 1. Let o(l) = -2*l**3 - 3*l**2 - 2*l + 1. Let d be -2 + (-3 - (-3 + 1)). Give d*n(w) - o(w).\nAnswer: -w**3 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-12) - (-100)\/6. Let m(g) = -8 - v*g**3 - 16*g + 6*g**3 + 2*g. Let y(n) = 7*n**3 + 9*n + 5. Calculate -5*m(l) - 8*y(l).\nAnswer: -l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1 (b) -0.5 (c) 107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -579953a + 3?\nAnswer: -5799537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -0.3, 4\/13, -0.2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**7\/5040 - 7*d**6\/720 - 13*d**5\/240 + 97*d**4\/4 - 9*d + 8. Let l(a) be the third derivative of g(a). Factor l(n).\nAnswer: -(n + 1)*(n + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 6*c + 717872 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*x = 17, 3*x + 25 = -7*g + 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 15. Suppose 2*m - k = -2. Suppose -a = -m*a. Solve -f + 3 - 6 = a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*i - 476, -22*m + 18*m + 2*i + 2012 = 0. Calculate the smallest common multiple of 8 and m.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m - 4. Let s be y(-3). Let z = 5 + -1. Suppose 5*j + z - 9 = 0. Calculate the highest common factor of s and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**2 - 8*p - 6. Let u be a(6). What is the greatest common factor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -181*t**2 + 15*t - 12. Let o be c(-14). Let y = o - -61539. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294\/(-63)*(-6)\/(-8)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -100080, -200082, -300018, -399888?\n\"Answer: 33*z**2 - 100101*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 53*k + 23. Let h be r(-19). Solve -102*n + 15 = -h*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from sjjgjgxsj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*y, -3*j - 5*y - 26 = 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/24 and -85\/36895206?\nAnswer: 147580824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 446040 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**4 - 85*j**3 + 248*j**2 - 164*j = 0.\nAnswer: 0, 1, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -84*(-7)\/(-84)*(34\/7)\/(-1)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-529)\/(-92) - (-3)\/(-4). Suppose b + 2*y + 0*y = -2, t*b + 5*y = 5. Solve 6 = -b*x + 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 863*d - 292 + 6 = 841*d. What is the greatest common divisor of d and 1261?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6199 - 6198.8. Sort -0.5, -26, -0.2, -5, o in increasing order.\nAnswer: -26, -5, -0.5, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -14*q - 3. What is m(3)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 8, 1\/6, 1, -2\/5 in decreasing order.\nAnswer: 8, 1, 1\/6, -2\/5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*u - 0*u. Let m = 4 + u. Let d be ((-233600)\/15)\/(m\/(-1875)). What is d rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 999139\/4 or 249785?\nAnswer: 249785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*f + 2*i + 72 = 0, 56 = -3*f + 2*i. Let t be f\/8 + 10\/6. What is the second smallest value in 0.2, t, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*v = 1867 + 3955 for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 951784, 1903570, 2855356, 3807142, 4758928, 5710714?\n\"Answer: 951786*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-15) - (-7)\/((-140)\/(-64)). Suppose -7*r + 96 = -v*r. 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: Suppose 554 + 681 = 5*c. Let k = -387 + c. Let u = k + 204. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + sqrt(1700))*3)*1 - (-1*(sqrt(68)\/(sqrt(4)*4) + sqrt(272)*3))**2.\nAnswer: -40913\/16 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400370 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) -2\/19 (c) 5 (d) 1 (e) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79.16291l?\nAnswer: 79162.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**3*w**3 - t**3*w**2 + 26*t**3*w - 2*t**3 + t*w**4 - 22*w**6 wrt w?\nAnswer: -12*t**3 + 24*t*w - 2640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.55 * 218.4.\nAnswer: 2959.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1804618716?\nAnswer: 2, 3, 251, 599143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, -2\/11, 1265, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 (base 12) in base 14?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*k + 165*k - 16200 = 194*k - 29*k for k.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/4*1)\/(352\/44).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -14*n**3 - n**2 + 3*n - 3. Let a(b) = -15*b**3 - b**2 + 3*b - 4. Determine -3*a(m) + 4*g(m).\nAnswer: -11*m**3 - m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - 6*(sqrt(72) - (-2*sqrt(72) - sqrt(72)))) + sqrt(72))\/(2*sqrt(96)*2) + -2.\nAnswer: -11*sqrt(3)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 139\/4, 1, -8, -92?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-12))\/(5\/((-40)\/823)). Is n smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) -0.09 (b) 3 (c) 172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -6.5. Let o = 0.9 + r. Which is the third smallest value? (a) 1\/2 (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16027798231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -117860 and -7036.\nAnswer: 829262960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(15\/(-9) + 2). Is (-3)\/s + 211\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*q + 71*q - 180 = 0. Which is greater: -106\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -42.96?\nAnswer: -42.96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d - 5 - 8 + 13 - 7 - 3. Determine u(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2 - 8*g - 2 - g + 2*g + 1. Let m(h) = 6*h. Let s be 9\/1*(-6)\/(-9). What is s*m(r) + 5*b(r)?\nAnswer: r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7773.5 - 1.\nAnswer: -7774.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -5*z - 4*g + g, 5*g = -2*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -129, -134, -95, -12?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -245?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 18*c**2 + 22*c - 29. Is y(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75113 is divided by 24524?\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iapeep. What is prob of sequence iap?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38661 is divided by 2848.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**3 - 3*r**3 - 3*r**3)*(-673 - 519 - 424)*(-3*r**2 + 2*r**2 + 3*r**2).\nAnswer: 6464*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1487*c + 2*g = 1482*c - 30, 22*c + 5*g + 37 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 2, j: 1, p: 2, v: 2}. What is prob of picking 1 p and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s**2 - 3*s + 22. Is x(8) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*y - y**4 - y**2 + 2*y**4 + 2*y**2 + 20*y to a*y**3 + l*y**4 + p*y + d*y**2 + t and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - -262. Let d = b + -99. Calculate the highest common divisor of 10 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p = -2*i + 142, 2*i - 142 = 5*p. Suppose -5*l + i = -124. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(26)\/sqrt(2) + 0) + (-5 + sqrt(1300) + 1 + sqrt(1300) - sqrt(1300)))**2.\nAnswer: -40*sqrt(13) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.991 + -0.109. Which is the second biggest value? (a) -3\/2 (b) 3 (c) v (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjj. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239116 or -286?\nAnswer: -239116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 1799744?\nAnswer: 1799744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*h - 5*h**2 + h + 117*h - 63*h.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 14.9. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4014 and -1 + (-105)\/(-95) - (-6260)\/95.\nAnswer: 44154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -0.137898025409854?\nAnswer: 2.137898025409854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20354 or -203541\/10?\nAnswer: -20354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Solve -t*d + 15 - 6 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 4*p - 9. Let s be w(7). Calculate the greatest common divisor of 24 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 0 + 20*l**2 + 0*l**3 + 0*l - 5\/24*l**4. Let f(b) = -9*b. What is w(f(a))?\nAnswer: 45*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence didd when four letters picked without replacement from {i: 1, d: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - (-820)\/(-16)*(-3)\/30. What is the closest to -1 in x, -2, 1, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 u when four letters picked without replacement from xupoumy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c + 0*c)*(0*c + 16*c - 3*c)*(-8*c**2 + 2*c**2 - 9*c**2).\nAnswer: 195*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**2 + 2*d**2 + 2*d**2)*(-6*d + 4*d + 6*d)*(-2 + 5 - 6) - d**3 + 5*d**3 + 2*d**3 in the form i*d + c*d**2 + p + s*d**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16530 by 58.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 26. Suppose d + 4 = -2*w. Sort w, 1\/6, -1 in descending order.\nAnswer: 1\/6, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 6) to base 9\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 57 - 27. Let m(i) = -2*i + 5. Let b(f) = -3*f + 6. Give d*m(x) - 5*b(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-216)*(-12)\/45)\/(4*7\/(-42)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o = 39*x + 22 - 0, 4*o = 5*x + 30 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + v = -13, -v = -n - 6*v - 23. Let l(g) = 2*g - 16. Calculate l(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51.2 + 46. Let a = q - -5.2145. Round a to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -0.3 (b) -0.5 (c) 94\/5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(20\/3)*c**2\/c)**(-1\/23) assuming c is positive.\nAnswer: c**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2993766 by -1496883.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkcrlkryyylrlbyk. What is prob of picking 1 k and 1 l?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-3)*3\/(-3). Let a(x) = -x - 1. Let q(w) = -w - 3. Let h be 33\/21 - 2 - (-310)\/70. What is f*q(v) + h*a(v)?\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 14*r - 11*r + b, 3*b = -6. What is the greatest common factor of r and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3848 and 11540984.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 4 - 4)*(2*x**2 + 10*x**2 + 0*x**2) + (7343 + 4*x - 11*x**2 - 7343)*(2 - 2*x - 2).\nAnswer: 70*x**3 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1721 from -0.3.\nAnswer: -0.4721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 121180, 121230, 121328, 121474, 121668, 121910?\n\"Answer: 24*f**2 - 22*f + 121178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 1. Let a(p) = p**2 + 6*p + 5. Let k be a(-6). Suppose -k*b - 8 = 2*u - 4*u, 0 = -u + 4*b + 7. Determine d(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29797, -13, -1\/7 in descending order.\nAnswer: 29797, -1\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 147. Let c(k) = -k - 150. What is -3*c(o) + 4*x(o)?\nAnswer: -o - 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6872400 and 127\/45816?\nAnswer: 6872400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -51, 2\/5, 0.039?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 2637.183.\nAnswer: -1318.5915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/(3195\/2556).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045761 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 9. Suppose y = -y - 48. Let b = -14 - y. Calculate the remainder when b is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*a + 6 = 0, 0 = -4*l - 3*a + 42 + 14. Solve n - 5*f + 0*f + l = 0, 4*n - 2*f = -8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from tiaavvivvzztavavjt?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-5040)*-660*4\/5.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 2*y**3 + 3 - 3*y**3 - 8*y**2. Suppose o = 3*z + 5 + 25, -20 = 2*z + 5*o. Let k be j(z). Solve -k*h = -3*u + h - 14, -h + 8 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39112219*c - 51256760 wrt c?\nAnswer: -39112219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mumuummmmummuuuummu. Give prob of picking 4 u.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2210*h + 26*h + 1932*h - 11 + 11 to the form l + c*h and give c.\nAnswer: 4168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:49 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101 + -101?\nAnswer: -10000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 5:08 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2958792 divided by 64?\nAnswer: -369849\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -14*l**3 + 183*l**2 - 2*l - 17. Let x(v) = -9*v**3 + 122*v**2 - v - 10. Determine -5*f(o) + 8*x(o).\nAnswer: -2*o**3 + 61*o**2 + 2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z. Suppose 3 = -3*w, -2*l + l = 3*w - 1. Calculate the smallest common multiple of 22 and n(l).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15193 = -5*p + 7212. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626305305?\nAnswer: 5, 107, 3039823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k + 131. What is r(0)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*-7 + (-6 - -3))\/(-1). Let u(q) = q**2 - 10*q - 9. Is 11 a factor of u(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2560 = 2486. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*(-10)\/(-10))\/1. Let j(v) = v**3 + 2*v**2 - v - 2. Let t be j(-2). Solve 0 = -x*h - 4*s + 2*s - 14, t = 2*h + s + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z - 12. Let m = 0.05 - -1.95. Let n = -0.7 - 1.3. What is the nearest to n in -6\/11, m, z?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 - 10 = -2*d, -3*d - 9 = 3*v. Calculate the lowest common multiple of 10 and (-84)\/(-39) + v\/39.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 20. Let d be z(10). Differentiate d*i + 2*i + 6208*i**3 - 6187*i**3 + 8 wrt i.\nAnswer: 63*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 51. Solve 5\/4*k**4 + 1\/4 + 5\/2*k**u + 1\/4*k**5 + 5\/4*k + 5\/2*k**3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 2*c - 12, -5*c - 19 = 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 68, 88, 88, 62?\n\"Answer: -q**3 - q**2 + 44*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10004 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**4\/12 + q. Let z(p) be the first derivative of -5*p**2 - 77. What is z(x(t))?\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 6*t - 2. Let y be d(-6). Suppose -5*w - b = -6, -3*w - 2*w - 2*b = -2. Does 18 divide (w - (0 - y)) + 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/20)\/((-3)\/(-282)). Let p(x) = 8*x**3 + x**2 + 2*x - 1. Let j be p(1). Which is smaller: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d + 27*d - 14*d)*(0 - 2 + 1)*(d - 13*d - 5*d).\nAnswer: 391*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -965 = 291*q - 3153 - 5378 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -4, -17, -36, -61, -92?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -37. Suppose -7 = -m*l + 5. Suppose 0*k = l*y - 4*k - 11729, -4*y + 3*k + 15634 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 4 = 18*i + 4*z, 15 = -5*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 4 - 4 + (148*k + 21*k + 56*k)*(0 - 2 + 5) + 2*k + 0 + 0 to c*k + q and give c.\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72648*g**3*s*v - 5*g**3*v - g**2*s*v - 10*g*s + 2*g*v + s*v + 2*s + 1799 wrt g.\nAnswer: 435888*g*s*v - 30*g*v - 2*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.3. Let p = i + -0.1. Let k = 3.8 - 0.8. What is the third smallest value in p, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 2. Let v be (-14)\/21*(-2 - o). Suppose 2*c - 5*x = 4*c - 29, -3*c + v = -3*x. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381 + 15925.\nAnswer: 15544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, 7, 3\/2, -15 in descending order.\nAnswer: 7, 3\/2, -15, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -379, -360, -319, -250, -147, -4?\n\"Answer: y**3 + 5*y**2 - 3*y - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulll when four letters picked without replacement from {l: 18, u: 2}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 7*h - 4. Let j be q(-8). Suppose -n = j, -m + 3*m = -n + 2. Find u, given that -3*u**5 + 2*u**4 + 5*u**m + 0*u**5 + u**3 - 5*u**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.09, -5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = q - 0*q - 16, -3*q + 63 = -4*d. Let u = d + -22. Let o = -7 - u. Calculate the greatest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22222212 - -10200220?\nAnswer: 110200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9438*v**2 + 4. Let c(o) = -o. Determine y(c(s)).\nAnswer: 9438*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*g - 17927 = 87*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12676 is divided by 114?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1883*p - 10*p**3 + 1883*p + p**3 + 2*p**3 + 3*p**3 + p**3 - p + p + (-2*p - 2*p + 3*p)*(-6*p**2 + 2*p**2 + 2*p**2) + 4*p**3 + 4*p**3 - 6*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 27*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 198 = -4*i, -u + 2 = -0*u. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3 + 222*y**2 + 1416*y + 1920 = 0.\nAnswer: -4, -2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-69)\/23 + (-7)\/(-1). Solve -4 = -5*v + b - 24, -20 = t*b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/9 - 28*a\/9 + 16\/3.\nAnswer: 2*(a - 12)*(a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + -30520?\nAnswer: -3052b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, -0.032, -0.4, 4, 9 in descending order.\nAnswer: 9, 4, 0.22, -0.032, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 - 56*q + 18. Let z(u) = 5*u**2 + 65*u - 20. Let o(r) = 7*w(r) + 6*z(r). Let c(k) = -11*k**2 - 2*k + 2*k**2 - k + 11. What is 4*c(f) - 7*o(f)?\nAnswer: -f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**2 + 2508*v + 15084 = 0.\nAnswer: -6, 2514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528476937.\nAnswer: 3, 199, 641, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 2970.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7 - g**3 + 0*g**3 + 2*g**3 - 4*g**2. Let b(q) = q**2 + 9*q - 5. Let p be b(-10). What are the prime factors of s(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 + -53. What is the remainder when k is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 104\/3, 0.5, 3, 2\/17, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -2150, 44, -13, -2 in ascending order.\nAnswer: -2150, -13, -5, -4, -2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5422 + 263?\nAnswer: -5159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165489846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 + 29*f - 162. Let c be b(10). Suppose 20*m - 24*m = 4*x - c, 2*x + 306 = 3*m. Calculate the remainder when m is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d4e (base 15) to base 5.\nAnswer: -404444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1923 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llgscgllcsgg. Give prob of sequence cg.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 20. Suppose 0 = 30*t - 32*t + c + 2, 2*c = 2*t + 4. Solve a + t*k + 10 = -5, -5*a = -v*k - 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -4. Let z = b + -93. Let t = z + 180. What are the prime factors of t?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - 132?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 - 5094\/(-27). Calculate the remainder when (-9)\/21 + 26352\/l is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 6.4. Let k = w - -11. What is the biggest value in k, 4\/7, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-150)\/25*(-2)\/(-6). Let k(b) = 6*b + 3 + 2*b - 4*b + 9*b**2. What are the prime factors of k(y)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19)*-1 + sqrt(19)) + (sqrt(19) + (1 + sqrt(931) - sqrt(931) - sqrt(931)))**2.\nAnswer: -12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6820689 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 9) to base 10\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 4 (c) -5\/4 (d) 0 (e) -6\/7 (f) 4\/3 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117540 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 16 - 16)*(2*t - 3*t + 0*t).\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19 - -1)*2\/(-6). Let a be (-1)\/(-4) + (-572)\/(-16). Suppose 2*q - 8*q = -a. Solve -2*b = -3*w - g*b - q, -8 = 4*w - 4*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + -2. Let n(f) = f**3 + 8*f**2 - f - 6. Let i be n(c). Differentiate 172*x**i - 164*x**2 - 2 - 5 with respect to x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkk when three letters picked without replacement from {v: 3, w: 2, n: 3, u: 3, k: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 3, k: 5, a: 3, q: 9}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -221 - -272. Suppose 117 = -48*a + f*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 209500000 to the nearest one million.\nAnswer: 210000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25936 + -25934. Let u(j) be the first derivative of -5 + 21\/2*j**d + j**3 + 0*j. Find g, given that u(g) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 12:30 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82248, -164783, -247586, -330651, -413972, -497543, -581358, -665411?\n\"Answer: g**3 - 140*g**2 - 82122*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 8 = -2*m, -m + 4*u = -542 + 560 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10829, -17, 1 in ascending order.\nAnswer: -10829, -17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12\/4805 - -409193\/307520. Find the common denominator of -73\/36 and o.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-2 - 8 - (-44 + 39)) - 5 - 105\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -14*o**2 - 81*o + 111. Let q be m(-9). Calculate the highest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v + 28. Let o be s(6). Suppose -4*n + 6*n = o. Solve n*w - 10 = -2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2. Let l(u) be the first derivative of -127*u**3\/3 + 73. Calculate l(o(g)).\nAnswer: -127*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25463906?\nAnswer: 2, 13, 75337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = 14*d - 22 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/32 and -61\/100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 434727264 a multiple of 4539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4999375 - -3562378. Let z = -2936997 - r. What is z rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Let v be (54\/189)\/((-170)\/(-51)*12\/35). Which is the third biggest value? (a) f (b) v (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6226.5 - 6226. What is the nearest to -224 in b, 2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 10*o**3 + 44*o**2 - 232*o + 240.\nAnswer: -2*(o - 6)*(o - 2)**2*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 2*x + 4. Let r be q(2). Find the third derivative of 5*g**5 - 4*g**5 + 19*g**3 + r*g + 2*g**2 - 2*g**5 - 3*g wrt g.\nAnswer: -60*g**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 10.2. Let a = 2 - -1. What is the nearest to -1 in v, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**4 - a**4 - 3*a**4 + 6*a**4 + 6 - 2*a**2 as u*a**3 + t*a + z*a**4 + w + r*a**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/3 + -6 - 7)*30\/(-175).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 9. Let p be n(9). Let o = 151 + -2870\/19. Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/72 and -4\/81?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 5205 = 2169. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/947737407 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 424 and 7367954?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14975*268\nAnswer: -4013300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9049178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/71985 and -49\/57588.\nAnswer: 287940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + 5 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 663729*s - 663681*s.\nAnswer: 48*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506213278 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 1171*j + 12 - 51 + 51 - 1172*j.\nAnswer: -j + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.03 (b) 4 (c) -0.5 (d) -50 (e) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -72363 (base 11) in base 6?\nAnswer: -2132445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 69, 102?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhjlhjyjyjhylyyyy. Give prob of sequence jhjj.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -57902 from 0.3.\nAnswer: 57902.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 w, and 1 n when four letters picked without replacement from wwwnyjwjwjnawjsjsj?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 0\/(-161) - 20400\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.099 + -0.099. Which is the biggest value? (a) -1\/9 (b) p (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + n + 1 - 5*n.\nAnswer: -4*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 9*h - 11*h + 7, -2*l = 4*h - 10. What is the closest to 1\/4 in l, -1, -0.191?\nAnswer: -0.191","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -39 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-15)*3\/2. Suppose 1 = -d*q - 1. Let n(f) = -17*f - 1. Calculate n(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21314.45 to the nearest 100.\nAnswer: -21300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 246\/(-1353) + ((-42)\/(-44))\/((-1)\/4). Let n(m) = 2*m - 6. What is n(h)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from qxexqxxqexxqqxx.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 14*k - 11. Let u be x(2). Let a = u - 64. Let d = -47 - a. Solve d = -c - c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-15) + (-871953)\/7245 + (-3)\/63.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7438505 less than 9?\nAnswer: 3.2561495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 4377\/18320 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 2*h + 2. Let x be g(-2). Let t(u) be the second derivative of -u**3\/2 - 13*u**2\/2 - 2*u + 24. What are the prime factors of t(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.358910464 to 3 decimal places.\nAnswer: 0.359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 2*y - 15 + 6*y + 6 + 2*y**3 to the form q*y**2 + x + u*y + m*y**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/24 and -23\/3068.\nAnswer: 18408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Suppose 899 - 284 = x*v. Suppose 5*k - v = -5*o, -4*k - 3 - 13 = -o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Let x(q) = 0 - 2 - 4*q - s - 1. Let g(f) = 7*f + 9. Give -3*g(b) - 5*x(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12545910 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -29. Let f(l) = -3*l - 1. Let a be f(-3). Let c = q + a. Solve c*t + 12 + 6 = 2*x, 0 = -4*t - 5*x - 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d - 4*d + 5*r, -2*d + 5*r - 1 = 0. Let t(y) = -13*y**2 + y**d + 7*y**2 + 4*y**2. Let j(f) = -8*f. Calculate t(j(b)).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*i**3 + 4*i - 21*i**2 + 7*i**2 + 32*i**3 to d*i**3 + w + s*i**2 + a*i and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1608960?\nAnswer: 1\/804480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/4 - (-49)\/4. Let r = -89 - -173. Calculate the highest common divisor of x and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129904*o + 1 - 27*o**3 + 64948*o + 64956*o - 1.\nAnswer: -27*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*v = -2*v - 1, 4*v = 16. Let m be -4 + 3 + q + 4. Let k be 0 + -1*(2 + 3). What is the third biggest value in 1\/8, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 11 + 11\/2*l**2 - 1\/3*l**3 - 7*l. Is b(8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 10) + 6 + (-5 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 3*i**5\/160 + 7*i**4\/32 - 17*i**3\/16 + 27*i**2\/16 - 2*i - 40. Factor u(j).\nAnswer: 3*(j - 1)**2*(j + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -129 + 108. Put -3, 1, r, -5 in increasing order.\nAnswer: r, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 21465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -774744 divided by -5097?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(57) + sqrt(912)*-5)\/(-5*-2*sqrt(3) + sqrt(3)).\nAnswer: -76*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95.872 + -0.872. Put s, -4, 1 in decreasing order.\nAnswer: s, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 - 1 = 0. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 903752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9486 and 954?\nAnswer: 502758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3063 + -3068. Let t be (0 + -4)\/((-6)\/9). Let b be 2 + (-2 - t\/(-10)). Sort l, 1, b in decreasing order.\nAnswer: 1, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -267*c + 3201. What is the lowest common multiple of y(11) and 396?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 777 and 888?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 223205?\nAnswer: -223202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(62*b + 146*b - 463*b)*(-4 + b**2 + 4).\nAnswer: 510*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-8))\/((-75)\/(-100))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -12, -2, 30, 90, 184, 318?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*n + 43085 + 16480. List the prime factors of n.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2190462, -4380922, -6571382, -8761842, -10952302?\n\"Answer: -2190460*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 28*z - 1. Let k(j) = j + 1. Calculate -5*k(x) + m(x).\nAnswer: 23*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 378 in -4, -19, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -8*h - 140. Which is the second smallest value? (a) -0.1 (b) h (c) -5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177413 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 28, 456, 6.\nAnswer: -2, 6, 28, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + 5*(sqrt(450)\/(sqrt(9)*-2))\/sqrt(10)))**2 + -1.\nAnswer: 500*sqrt(5) + 4721\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2 + (-9)\/9)*2)\/(2\/98366). What is g rounded to the nearest one thousand?\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4*y - 2 + (0 + 3 + 5)*(-5*y - 13 + 13) + 3*y + 0*y + 0*y.\nAnswer: -41*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 430 (base 12) to base 15\nAnswer: 2ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3984385 + -1715.\nAnswer: 3982670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147 + -82. What are the prime factors of (-13)\/(y\/(-222)) + (-6)\/(-10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*b + 94*b - 183*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8805000 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 31. Let s be -2 - h - 5\/(-8). Which is the second smallest value? (a) s (b) -0.4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106.22 * 8558\nAnswer: 909030.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/((-60)\/15)*-9\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/448 and 51\/18368.\nAnswer: 18368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**3 + 45464*g**2 - 90940*g + 45472 = 0.\nAnswer: -11368, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -2216427\nAnswer: 664928.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 7:47 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*q**2 - 273\/5*q - 274\/5 = 0. Calculate q.\nAnswer: -1, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 4 + 4)*(-301 - 312 + 234) - 22*z - 12*z + 8*z.\nAnswer: -405*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (6 - 10) - (-2 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 4. Let i be j(-2). Let a be i - -2 - -5 - 1. Solve 0 = -p + a*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**2 + 435 - 3*y**2 + 5*y**2 - 162 to b*y + q + m*y**2 and give q.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 7*l + 1. Let a be g(4). Let j(r) = r + 8. Let f be j(-8). Let d(h) = 4*h**2 + f + 3*h - 5*h**2 + 2 - 5*h. Give d(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p + 2 + 1 - 13*p**2 + 14*p**2. Let r(n) = n**2 - 2*n + 2. Let j(v) = 2*i(v) - 3*r(v). Let u(q) = -3*q**2 + 2*q**2 - 10*q**2. Determine u(j(s)).\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 3:03 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 3*q = -72. Suppose 3 - q = 3*y. Put y, 5, 4 in decreasing order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 11*u**2 - 34*u + 11. Determine y(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-10))\/(((-480)\/1050)\/(-2)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 222?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.043*-4.\nAnswer: 0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 282053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in hours?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -44*n + 179. Let t(g) = g**2 + 11*g - 308. Let o be t(-24). Let k be x(o). Let 2\/9*r - 2\/9*r**k - 2\/3 + 2\/3*r**2 = 0. Calculate r.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -109*k**3\/3 + 4*k**2 - 71*k. Is p(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1250) + sqrt(50) - sqrt(50))\/(sqrt(720) + sqrt(720)*-2))\/(-6*(sqrt(162)*-3*-2 + sqrt(162))).\nAnswer: 5*sqrt(5)\/4536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2341 by -1336.\nAnswer: 2341\/1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 9*a**8\/56 + 5*a**4\/12 - 15*a. Find the third derivative of k(b) wrt b.\nAnswer: 1080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 - -1 - (-140)\/(-21). Let c be ((-7)\/(5 - -2))\/(8\/h). Let c*v**5 - 9\/4*v**4 + 3\/4*v**3 + 0 - 3\/2*v + 9\/4*v**2 = 0. Calculate v.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Let f(t) be the second derivative of t**5\/20 - t**4\/4 + t**3\/2 + 3*t**2\/2 + 296*t. Give f(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120269 (base 13) to base 5.\nAnswer: 102210330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -13. Which is the biggest value? (a) -0.01 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 5*h**4\/3 + 5*h**3\/3 + 16*h**2. Let g(t) = t**2 + 31. Calculate the remainder when c(2) is divided by g(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 0. Let g = a - -1. Let u(m) = -m**3 - 3*m**2 + 15*m - 13. Let h be u(-6). Solve -3*z - g*b - h = -0*z, -b = -z + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 9:26 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.015 - -62.985. Let f = -73.48 + 5.08. Let w = s + f. Round w to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11370 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -241 + 240.742. Let y = t + -54.742. Is y != 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 76*v - 316 = 7*v, 354*f + 2*v = 358*f - 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 6*t - 9. Determine v(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - n + 30*n**2 + 257*n**2.\nAnswer: 287*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -741534 * 0.1\nAnswer: -74153.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 6:54 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55232*-0.1.\nAnswer: -5523.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-2*1 + sqrt(91) + sqrt(91))\/((sqrt(28)*-2)\/sqrt(4)) + sqrt(117)\/(sqrt(144) - 4*sqrt(144))*-5)**2.\nAnswer: 325\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {o: 1, y: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5436)\/(-19) - (-24)\/(-228) - 6. Does 13 divide 337295\/u - 3\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w + 7. Suppose -u = 0, 3*k - 4*k + 4*u - 13 = 0. Let a = k - -25. What is the remainder when a is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-66)*(-530)\/(-2). Let f = -8821\/352 - g. Find the common denominator of f and 97\/6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265935837?\nAnswer: 3, 19, 1097, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670820325.\nAnswer: 3, 5, 7, 1277753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -16*m + 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.07 - -1.242. Let t = v + 0.228. What is the closest to 0 in -2\/25, t, 4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550 and 770.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*i - 174, -3*p + 4*i + 180 = i. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/3)*n*n**(2\/7)*n\/(n*n**(-3\/5))*n**(-2\/5)*n*n*n**(-2)\/n*n**7\/n*n*n**(1\/2)*n\/n**(-1\/2)*n assuming n is positive.\nAnswer: n**(1171\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 18*d**2 - 33*d + 8. Determine o(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, b: 2}. What is prob of picking 1 i and 1 b?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/5890 and -151\/6.\nAnswer: 17670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -21 - 1 + 19 + 6*x + 5 + 4. Calculate m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/15 - 50\/6. Let q = b - -11. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {c: 6, b: 2, w: 1, e: 3, l: 2, n: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 11. Let r(w) be the second derivative of -32*w + 1\/6*w**3 + 0 + 3*w**2. What is 5*r(t) + 3*x(t)?\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 5*g + 288. List the prime factors of i(-17).\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3373 is divided by 211.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -0.5017\nAnswer: 0.45153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32956 divided by 4708?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.18347m in centimeters?\nAnswer: 8918.347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1049*g**4*w**3 - 3*g*w**3 - 9*g - 6*w wrt g?\nAnswer: -12588*g**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5\/6, 4, -4.\nAnswer: -9, -4, 5\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a factor of 124393518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 220 + (-2)\/((-10)\/5). Calculate the highest common factor of 39 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47654 is divided by 11911?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*c + 3 + 2 + 4*c in the form l + w*c and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90 - -355) + -269 - (-1 - 33)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111*o**3*x + 207*o**3 + 73*o**2 - o*x - x - 242 wrt o?\nAnswer: -666*x + 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 1\/4*o**4 + 0*o**7 + 0*o**5 + 3\/56*o**8 + 8*o - 5 + 0*o**2 + 1\/6*o**3 + 1\/15*o**6. Find the third derivative of c(w) wrt w.\nAnswer: 360*w**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 7:18 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 997224 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 14691001*j\/2 + 215825510382001\/4.\nAnswer: (j - 14691001)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -93, -89, -83, -75?\n\"Answer: a**2 + a - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/24 and -83\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s\/s**(-2\/3)*s)\/s))**(-2\/43) assuming s is positive.\nAnswer: s**(-2\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.571068ms to nanoseconds.\nAnswer: 5571068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8227, -8226, -8225, -8224, -8223, -8222?\nAnswer: -8221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -25*k**3 - 24*k**2 + 68*k - 8. Let z(c) = -27*c**3 - 27*c**2 + 67*c - 9. Calculate 9*f(y) - 8*z(y).\nAnswer: -9*y**3 + 76*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10802327 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*m + 27, -m - 3 - 4 = -2*t. Suppose -t = -x - 0. Solve x*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4575*u**2*w**3 + 44280*u**2 - 117*u*w**3 + 2*u*w**2 + 2*u - 107*w - 1 wrt w.\nAnswer: -27450*u**2*w - 702*u*w + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w**3 - w**2 - 1. Let q(t) = -34*t**3 + 16*t**2 - 5. Determine 6*d(z) - q(z).\nAnswer: -2*z**3 - 22*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*6*(-3)\/6. Let x be h\/(-9) - 2\/(-3). Is 2\/7 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 0 + (14 - 17). Let t(k) = -k**3 - 4*k**2 - 5*k - 3. Calculate t(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7598 + 5645313\/743. Let x = c + 1505\/14117. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 36*p**5\/5 - p**4\/12 + p**3\/6 + 4*p. Let m be u(1). Calculate the highest common divisor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26296 = -37*y - 180*y + 179854. Calculate the remainder when y is divided by 158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202 - 22. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -158*f**2 + 2*f - 5. Let w(l) = -79*l**2 + l - 3. Calculate 3*j(a) - 5*w(a).\nAnswer: -79*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*j + 1823 = -0*j + 4578 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173823 is divided by 13361?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s**4 - 18*s**2 + 18*s**2)*(-363 - 155 - 222).\nAnswer: -8880*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 19 (b) -2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 5940302.\nAnswer: -1\/2970151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11*o - 5. Let n(z) = -z**3 + z**2 + 3*z + 1. Let d be n(-2). Let m(q) = -5 - 5*q + 0*q + 2 + 1. Let b(x) = d*m(x) - 3*h(x). Determine b(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 7 = -16. Let o(i) = 3*i**2 + 2*i + 1. Let h be o(-1). Which is bigger: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (2 + -1 + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112588*d**3 - 112297*d**3 + 224883*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 17*l**2 + 37*l. Let m(d) = 4*d**2 + 9*d. Let j(b) = -9*m(b) + 2*r(b). What is the second derivative of j(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 195 + -1363\/7. Let z = -196\/3 + 974\/15. Sort z, -4, -2, i in decreasing order.\nAnswer: i, z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 0*a + 309 - 217 + (2*a + 0*a - a)*(-21 + 37 - 23) to l*a + j and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9815235635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 4*w**2 - 5*w + 5. Let k be b(-5). Let l = -2 + k. Suppose 8*a = l*a + 10. Solve 3 = a*i + 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454*u + 149 + 208 - 566 + 209.\nAnswer: -454*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 43. Let v(a) = -1377*a**2 - 6 + 1395*a**2 - 27*a + l + a**3. What is the tens digit of v(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*b + 14 = 0, 3*i = b + 2*b - 12. Let x(j) = -j. Let n be x(i). Let l be (2 + n + -2)\/1. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (138\/184)\/((-2)\/2 - 2). Which is the closest to 5? (a) 0.08 (b) y (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.602619 years?\nAnswer: 7.231428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 759137 or 759139?\nAnswer: 759137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94858567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 - 4*h**3 + 4*h**3 + (-h**4 + 3*h**4 + 0*h**4)*(0 + 6 - 4) - 4*h**4 + 4*h**4 - 12*h**4 - 15*h**4 - 20*h**4 - 8*h**4)*(0 + h + 0).\nAnswer: -52*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -7.5. What is the smallest value in 0.4, n, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 8*q**2 - 13*q - 13. Let l be n(-9). Let o(c) = 3*c**2 - 13*c - 7. Let z be o(6). What is the greatest common divisor of l and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16418 rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2092469 or 2092505?\nAnswer: 2092469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/66 and 24\/121.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 52 = 2. Is 733 + s + -2 + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at most as big as 10165\/778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(175) + (sqrt(175) + 0 - sqrt(175))*6 + sqrt(175) + 3 + -4 + sqrt(175)*-1 + 0 + (sqrt(175) - (sqrt(175) + -1)))**2.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -16, -52, -104, -178?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwu when four letters picked without replacement from uwuwww.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (3 - 10 - -15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 25 = -301*l + 306*l, -4*l - z - 11 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155272*q - 7582 + 7582.\nAnswer: -155272*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 18*d**2 + 19*d + 34. Let q be w(-17). Suppose 2*u - 4*f - 7298 = q, 0 = u - 2*f + 3*f - 3640. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2566766*d + 15400641. Give r(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3027, -3360, -3695, -4032, -4371?\nAnswer: -4712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbpbpphpehhphpebh. Give prob of sequence phbh.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 1:16 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 3. Let q(k) = -2*k + 4. Let r(f) = 4*g(f) - 3*q(f). Let s(o) = 2*o + 2. Let w(z) = -2 - 2*z - 2 + 1. Let n(x) = 6*s(x) + 4*w(x). Give n(r(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-47 - (-8 + -5))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 499830 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + -2)**2 - sqrt(272)*3.\nAnswer: -52*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0*w - 1\/60*w**6 + 0*w**3 + 35\/8*w**4 + 1\/30*w**5 + 85*w**2 + 0. What is the second derivative of j(n) wrt n?\nAnswer: -12*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) -0.01338 (d) 3\/4 (e) 0.2 (f) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 8\/17, -1\/33, -0.2, 0.28?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 15*b**4\/4 + 7*b**3 + 3*b**2 - 136. Let u(x) = 3*x**3 + 4*x**2 + x. Determine -4*p(v) + 21*u(v).\nAnswer: 3*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16497*r**2 + 8250*r**2 - 49*r**3 + 2*r**3 + 8249*r**2.\nAnswer: -47*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.6 + -33.51. Round c to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. Suppose -4*a + 122 = c*q + 3*q, 2*q - 2*a = 38. Suppose -73 - q = -5*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -57, -66, -79, -96?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.1 - 9.0999901. Round a to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-125))\/((-48)\/(-160))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 4155*h - 8323. Calculate l(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3)*(1 - -14). Suppose 3*u - 18 = 2*u - k*b, 0 = 4*b - 12. Suppose 2*s = -5*d - 4 + 12, d + 5*s = -3. Solve -d = -q - u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.055 + 32.945. Let l = r + -22. Let k = -10.9 + l. Which is the second smallest value? (a) -3 (b) 0.02 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/3 + 1010*r**3\/3 + 18140*r**2 - 1556360*r\/3 - 3322352\/3 = 0. Calculate r.\nAnswer: -439, -86, -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 34903*x**2 - 2. Let w(p) = 12613*p**2. Give s(w(t)).\nAnswer: 5552640401407*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffzz when four letters picked without replacement from zfzffffffzff?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15751 + 504*v + 15751.\nAnswer: 504*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 1. Let o(i) = 8*i**3 + 16*i**2 + 14*i + 6. Let m(y) = -2*b(y) - o(y). Solve m(j) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 - (6 - -4))\/(-2 + 1). Suppose 0 = -3*c + 15, 4 = -z*l + 4*c - 2. Let i(r) = -3*r - 1. Let u be i(-1). Sort 4, l, u.\nAnswer: u, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 2*f = 125. Let a = f - -25. Suppose 5*q + 3*g - 1452 = a, -5*q + 1457 = -g - g. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**4 - 3*o**4 + 4*o**4 + (-19 + 9 - 15)*(0 + o**4 + 0) in the form r*o**2 + s*o**4 + q*o + n + z*o**3 and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 174490, 174501, 174502, 174487, 174450?\n\"Answer: -g**3 + g**2 + 15*g + 174475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 12669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/18*8\/(-12). Let x be (10\/4 - 1)*-2. Let r = 2 + x. Which is greater: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.064323 to 3 dps.\nAnswer: 9.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 31034*d + 31033.\nAnswer: (d - 31033)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from jduduuoudjuo.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 - 15*n**2 + 4 - 2*n**3 + 5*n**3 - 1.\nAnswer: 3*n**3 - 9*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 2*s + 1. Let z be m(-3). Let i be (-2 - -3 - 2)*z. Suppose -2 - 4 = -i*y. Is 3 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144858 is divided by 2132?\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74322 - -74330. Let o = 0.3 - 0.4. Which is the closest to 2\/7? (a) l (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919767.066 rounded to the nearest one thousand?\nAnswer: 2920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 3) + (-6)\/(-10). Let j = 9 - 19.1. Let t = -10 - j. Which is the nearest to t? (a) q (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4882967454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 14*i**2 - 15*i + 28. Let w be m(13). Let y be ((-3)\/2)\/(w\/(-4)). Solve 0 = -2*n - n - y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - t + 27 = 3*h, -21 = -4*h - t. Solve -l = -h*l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43510132455198 plus -1?\nAnswer: 43510132455197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7392, -14793, -22194, -29595, -36996?\nAnswer: -44397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(2\/5)))\/x*x)**(-20)*((x\/(((x\/x**(-3\/8))\/x)\/x))\/x)\/(x\/(x\/x**(2\/7))) assuming x is positive.\nAnswer: x**(467\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 200 = -5*t - 0*t. Calculate the remainder when t is divided by 102.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (3630\/198*(-3)\/(-15))\/((-336)\/72)?\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**5\/120 + n**4\/48 - 21*n**2 + 19*n - 1. Let x(c) be the first derivative of p(c). Determine b, given that x(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 268957, 537890, 806821, 1075750, 1344677?\n\"Answer: -t**2 + 268936*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 453132673 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 106415393 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 667, 650, 623, 586, 539, 482?\n\"Answer: -5*d**2 - 2*d + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 4. Let z be y(6). Suppose m - z = 8. Solve 0 = -5*i - 2*q - 3 - 22, 2*i - 5*q + m = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 3*l**2 - 94*l + 4087. Determine j(15).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.2 + -22.2. Let n = 19.1 - 33.8. Let w = j - n. What is the closest to -0.1 in w, -0.5, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -16) + (11 - 20). Solve g*b = 12*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 11:50 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -277, 2\/11, -1\/7?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/11)\/((-87)\/38280*-16).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 831, 1795, 2829, 3963, 5227, 6651, 8265, 10099?\n\"Answer: 5*w**3 + 5*w**2 + 914*w - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14482 - -14482. Let m = 2 - 1.6. Let q = 487\/5 + -98. What is the nearest to -2\/3 in q, m, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 13*o**2 + 65*o - 148. Calculate n(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -12\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24432585 divided by 4886517.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - ((1 - -2) + -26). Let v(k) = -d*k + 45*k - 25*k. Let q(a) = -7*a**2 - 3. Give v(q(l)).\nAnswer: 14*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 5*q**2 + 3*q + 4. Let s be k(3). Let j be 92\/s + (-6)\/(-15). Let m = j + 26. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -31*c + 2684. Calculate k(87).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 15 = 5*m - 4*z, -5*m - 24 = -2*z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 16*h + 29. Let n be p(-14). Suppose -12*u + 13*u = n. List the prime factors of -9 - -8 - (-30 + u).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**3 - 2*a**3 - 3*a**3 + (6 + 0 - 2)*(0 + 0 - 3*a**3))*(0 - 3*a + 0).\nAnswer: 33*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*(-22)\/4)\/1. Let l = 20 - 18. Let a = l - i. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(85)*1 + sqrt(85)))\/(-1*sqrt(5)*-1).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 6*n**2 - 10*n + 11. Let g be (91\/26)\/((-35)\/(-40)). Determine h(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l + 5*x + 6, 2*x = -5*l - 21. Let s(d) = -15*d + 12. What is the units digit of s(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652395006 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -1. Put u, -4, -8 in descending order.\nAnswer: u, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*b - 11*b - 12*b to the form s + v*b and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.399 * 16.111.\nAnswer: 328.648289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(275) - (-5 + sqrt(275) + 0 + sqrt(275))))**2.\nAnswer: -50*sqrt(11) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -10 - 3 + 6*j + 19*j - 6. Let l be c(2). Let g = l - 37. Is g < -50\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/21 (b) -0.2 (c) 2.2 (d) 2 (e) 34 (f) 1\/785\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1334 and -7.6469.\nAnswer: -7.5135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 1)*5\/(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -806829775 divided by -207145\nAnswer: 3895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48756*-12.\nAnswer: -585072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + (2*sqrt(1100)*2 - sqrt(1100)).\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y, 33*p + 142 = 34*p + 4*y. Calculate the remainder when 379 is divided by p.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(972) - sqrt(972))\/(sqrt(4)*2*-1 - sqrt(4)))**2 + 1.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -d + 52 - 30 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322676729 to the power of 1\/2, to the nearest integer?\nAnswer: 48194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2858?\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**3\/21 + 81*q**2\/14 + 82*q\/7 + 895. Solve i(h) = 0 for h.\nAnswer: -1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 4:12 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/7 + 82*d\/7 + 1681\/7.\nAnswer: (d + 41)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -82, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 730 + -731. What is the closest to r in 40, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y - 13746 = 46561 + 54731. Which is smaller: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (73 - 4 - 13 + (3 - 4 + 0)*(-1 + 3 + 0))*(2*j**3 - j**3 + j**3) to i*j + s + a*j**2 + d*j**3 and give d.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 4 - -5) + -8 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(204)*-3 - sqrt(204)) + -4*(sqrt(204) - -3*sqrt(204)))\/(sqrt(120)\/(-1*sqrt(10)) - (sqrt(96) + sqrt(96) + 1*sqrt(96) + sqrt(96))\/sqrt(8)).\nAnswer: 8*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sosddsdosssdss. What is prob of sequence ds?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 + 729*y + 12*y**2 - 5*y**2 - 812*y to the form r + j*y + m*y**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 8 - 4)*(-l + 5*l - 2*l) + 4*l - 4*l + l)*(-l**2 - 18 + 18).\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*q + 632281 = -23366 - 542691. Does 43 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -12*t**2 + 1431*t - 14235. Calculate g(10).\nAnswer: -1125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 5424.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-1\/5)))\/y*y*y)**(-14\/5)\/(y**(-7)\/y)**(-8) assuming y is positive.\nAnswer: y**(-1656\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7083, -14186, -21289?\n\"Answer: -7103*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 167, 230, 339, 506, 743?\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**(-1\/3))\/s*s*s**(4\/9)\/s*s*(s**(-5)*s*s)**(-2\/67))**(4\/3) assuming s is positive.\nAnswer: s**(6916\/1809)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140667?\nAnswer: 3, 46889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16853147711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - t - 27548 = 0, 4*d - t - 9876 = 144. Does 28 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937 = -38*o + 1317 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2204, 4437, 6680, 8927, 11172, 13409, 15632?\nAnswer: 17835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496003 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11382, 45182, 101406, 180066, 281174, 404742, 550782, 719306?\nAnswer: 910326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 11*y + 13. Let n be c(9). Let z = 10 - 9.7. Let l be 3\/((-6)\/((-6)\/(-7))). Sort l, n, z in decreasing order.\nAnswer: z, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4 + 2 - 5*z + 1. Let i be k(1). Let w(m) = m**3 + 8*m**2 + 3*m + 6. Let x be w(i). What is the highest common divisor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-34)\/136)\/(2\/(-664)). Suppose f*p - 112 = 69*p. Solve 11*q - 7*q - p = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m - 90 = -47*m + 96*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 2\/(12\/(-1))*-20. What is the second smallest value in -1\/2, s, 1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 5*u**2 + 2*u - 7. Let q be d(5). Suppose 10*x - 1715 = q*x. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.96383343 to 3 decimal places.\nAnswer: -0.964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 275 and 449757?\nAnswer: 11243925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -60199 and -8.5?\nAnswer: 60190.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -843876 and -44?\nAnswer: 37130544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1413.\nAnswer: 1\/1413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/3)\/((-90)\/(-324)). What is the tens digit of (-1)\/(-3) + 214\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -17*g + 3*g**2 + 107*g + 78*g + 2352 = 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 741*q**2 - 2*q. Let g be (-5 - -3 - -3)*1. Is j(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 5:24 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6719041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - d)*(3*d - d + 0 - 2)*(d - 5*d + d).\nAnswer: 6*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/60)\/(112\/35).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08967714 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 8:20 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7884\/3942*532\/8?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -6, -4, -8, -22 in descending order.\nAnswer: 0, -3, -4, -6, -8, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.93 + 25. Let x = 0.02 - 0.05. Let f = o - x. Is f less than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - f + 1. Let x(y) be the second derivative of -y**3\/6 + 2*y**2 - 2*y. Let z be x(6). What is the least common multiple of r(z) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z**4 + z**4 - 2*z**4 + (-2302 + 2302 - 53*z)*(-3*z**3 + 0*z**3 + 4*z**3) to w + b*z + p*z**3 + j*z**4 + c*z**2 and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -1, 5, -5, 3, -36.\nAnswer: -36, -5, -1, 0, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(-4*(-1)\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -780 times 667353?\nAnswer: -520535340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2375083 is divided by 12138?\nAnswer: 8173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17513*t**2 - 101110 + 101110)*(-t + 1 - t**2 - 1) to y*t**3 + w*t + j + i*t**2 + k*t**4 and give y.\nAnswer: 17513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/133635?\nAnswer: -1\/133635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 19*y**4 + 19*y**2 - 32*y + 3. Let h(j) = 39*j**4 + 40*j**2 - 66*j + 4. Let i(v) = 5*a(v) - 2*h(v). What is the second derivative of i(o) wrt o?\nAnswer: 204*o**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3\/3 + z**2\/2 + 2*z + 1. Suppose m - 2*l = -4*m + 12, 0 = m + 2*l. Let q be b(m). Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011100110 - 10010110001?\nAnswer: 1001000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*d = -24, -q - 5*d = 4*q. Let x = -18 - -40. Suppose -q*t - x = -254. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417.9885 decades in millennia?\nAnswer: 4.179885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 520238 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Suppose 3*q - 140 - 130 = 0. Suppose 0*p + 4*p = -2*f + 60, 0 = -n*f - 5*p + q. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**5\/300 + v**4\/40 - 2*v**3\/15 - 15*v**2. What is o in y(o) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-60))\/(48\/(-432))*12\/(-14)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3209 - 3*b - 4*b + 3209)*(-447 - 400 + 746).\nAnswer: 707*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451416 is divided by 451412.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 12*c + 23. Let q be t(10). Suppose q*m - 2*m = 0. Suppose -x + 32 = -m*x. Round x to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9071*a + 316200 - 1005596 for a.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 7) in base 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + -2*(2 + (sqrt(2057)*1 - sqrt(2057))))*3 + -4)**2.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9 and 4120676506?\nAnswer: 4120676497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1728 = -k. Suppose 5*g = l + 720, 5*g + 2*l = 2*g + k. What is the greatest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4360 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1047 - -3035. Which is the third biggest value? (a) -5 (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1469650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36649628297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4)\/m)**(-26\/3)\/((m\/(m\/(m*m\/m**4*m))*m)\/m*m*m\/(m\/m**(2\/43))))**7 assuming m is positive.\nAnswer: m**(3885\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:52 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3080 and 5452370?\nAnswer: 21809480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1632908 and 17832082.\nAnswer: 16199174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*z**2 + 139*z**2 - 81*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1576 = -196*b + 159*b + 1798 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755206759?\nAnswer: 17, 373, 119099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-105)*-3)\/((-1)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m - 25 = 3*p, 5*m = -2*p - 57. Let f = 8 - m. Suppose -2*b = -5*b + 2*n + 6, 4*b - f = -n. What is the highest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*b + c, 74*b - 69*b - 4*c = 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*a + 5. Solve -4*q - q - b = 9, a*b = -q + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3)*(3*i**3 - 8*i**2 + 8*i**2 + 6*i**3 - 3*i**3 - 2*i**3 + 0*i**3 + 3*i**3 - 2*i**3 + (-1 + 1 + 2*i)*(-1 + 1 - 2*i**2)).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 15*m - 43. Let s(x) = 39*x - 231. Let u be s(6). Determine n(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4570 = 3*w + 2*w, 0 = 3*w + 3. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*g**2 - 26*g**2 + 74*g**2 + 2*g**3 + 0*g - 2 + g + 390*g**4 - 24*g**2 in the form q*g**4 + v*g + t + j*g**3 + f*g**2 and give q.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 641226564 a multiple of 2357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 20. What is the biggest value in -0.2, -2\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -451 + 1361. What is the greatest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2 (b) -0.6 (c) 0.4 (d) -2213 (e) 0.292 (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*m - 846 = 5*m, 0 = -4*w - m + 1704. What are the prime factors of w?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 627 - 629. What is the closest to -1 in d, 13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 742 - 12236 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:58 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, 5, -6, 4 in increasing order.\nAnswer: -10, -6, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**2\/2 - 1185*t = 0?\nAnswer: -2370, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -392*a + 1. Let g = 21 + -20. Let o be s(g). Let n = -264 - o. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1 + sqrt(2))**2 + sqrt(2) + 2 - (0 + sqrt(2) + 0).\nAnswer: 4*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 768*u - 38729. Calculate t(-47).\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 25. What is the remainder when 31 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*h - 5*h = -6841 - 353 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -5*h**6\/6 - 5*h**2 + 14*h. What is the derivative of u(v) wrt v?\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:06 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 e when three letters picked without replacement from {t: 3, i: 2, k: 7, z: 3, h: 2, e: 1}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36357 and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649 is divided by 34.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n. Let m(t) = -3*t**2 + 142335*t + 1. What is m(k(z))?\nAnswer: -75*z**2 - 711675*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 5*k - 2*k + 6*k - 2918*k**2.\nAnswer: -2918*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6082, -6050, -5996, -5908, -5774?\n\"Answer: 2*j**3 - j**2 + 21*j - 6104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -270*h + 81. Let i be p(-1). Let z = 354 - i. Suppose 2\/19*y**z - 4\/19 + 4\/19*y**2 - 2\/19*y = 0. Calculate y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 6*u**2 - 5 + 6*u**2 + u**2 in the form x + h*u**2 + o*u and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyz when three letters picked without replacement from {z: 11, y: 3}?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 77. Let q = 113 + c. What are the prime factors of q?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 14*l + 52. Let w be b(-7). Suppose 3*r + 3*t - 7*t = 38, -r + 2*t = -16. Solve -k - r = -w*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 + 123*r - 3*r**3 - 253*r + 130*r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/6 - (-15)\/45. Let k be (-15)\/35 - m - 1. Put 2\/5, k, 3 in ascending order.\nAnswer: 2\/5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 2:15 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 334603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29641909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20503529 - -3.\nAnswer: -20503526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 + 441*s + 4187. Determine g(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -879, 147 in decreasing order.\nAnswer: 147, 1, -879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41, -86, -137, -200, -281?\n\"Answer: -f**3 + 3*f**2 - 47*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331677?\nAnswer: 3, 137, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/80 - 71\/720. Let m = -11 - -11.3. Let p = -0.2 + m. Which is the third smallest value? (a) 2 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**3 - 11*v**2 + 2*v + 2. Let h(a) = 28*a**3 - 3*a - 96*a**3 + 11*a**2 + 20*a**3 + 19*a**3 - 3 + 24*a**3. Give 2*h(k) + 3*x(k).\nAnswer: 2*k**3 - 11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*n - 372 + 132. Calculate the smallest common multiple of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-1 + 0)) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(27)\/(sqrt(45)\/sqrt(5) + sqrt(9)) - (sqrt(225) + -4*sqrt(225) - sqrt(225) - sqrt(9))\/sqrt(3).\nAnswer: -4 + 43*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -0.015 (c) 4\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0078004441 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/7 and 52\/3277659.\nAnswer: 3277659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 438301 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l - 67*l**2 - l**4 - 7*l**3 + 5*l - 12*l - 8*l**2 - 1 in the form k*l**4 + t*l**3 + f*l + q + z*l**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/105 - ((-308)\/560 + (-1)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(2 - 5\/3). Suppose -3*v = -d*v - 3. Let h be (-4 + 4 - 1)*-3. Calculate the highest common factor of h and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 4*t = -130. Calculate the remainder when 152 is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179*-2.15818.\nAnswer: 386.31422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.482485 - 73.516175. Let x = a + 74. Round x to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -14. Suppose -4*x - a*w = -2*w - 7, -5*x - w + 17 = 0. Suppose -x + 36 = 2*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*c - 33 = 0, -4*n - 26 = -4*c + 2*c. Let f be (-39)\/104*(-4)\/n. Let y = 4.32 - 0.32. What is the fourth biggest value in y, f, 5, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(0 - 4 + 1)*(-3*w + 4*w + 2*w)*(23*w + 15*w - 12*w + (3 - 4 - 1)*(2*w + 0*w - 3*w) + 2*w + w - 4*w).\nAnswer: -486*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w**3 + 3*w**2 + w - 10. Let f be y(-6). What is f rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20.14114 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2572813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpkpkk. What is prob of picking 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 6*y - 9. Let r be (7\/2)\/((-6)\/(-2 + 14)). Give g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1. Let x(r) = 2*r - 2. Let a be x(-6). Let n(f) = f**2 + 12*f - 25. Let y be n(a). Sort -10, g, y in decreasing order.\nAnswer: y, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222122012 + 12102?\nAnswer: -222102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*5*(sqrt(1700) - (sqrt(1700) - sqrt(1700)*-2)) + 2.\nAnswer: -3 + 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yynwnnnwyyqnwwyynynn. Give prob of sequence wny.\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2\/2 + 629*j - 1257\/2 = 0?\nAnswer: 1, 1257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from frlyrrfrl?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 13*c + 46 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x + 10. Let q be c(-5). Let m = q - -77. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-2))\/(-1))\/((-7)\/(-21)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**7\/105 + q**4\/6 - q**2 - 2. Let x(k) be the second derivative of n(k). Find the second derivative of x(j) wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + sqrt(114)*2 - sqrt(114) - sqrt(114) - sqrt(114) - sqrt(114) - sqrt(114)))*5)\/(5*-1*sqrt(6)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1 + sqrt(800) + 3)**2 - (2*sqrt(800) - sqrt(800))**2*-3 - ((sqrt(800) - -2*-1*sqrt(800)) + sqrt(800) + -2)).\nAnswer: 160*sqrt(2) + 3216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410861735 to the power of 1\/3, to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 268*h**2. Let p(t) = -8*t + 1. Calculate p(g(c)).\nAnswer: -2144*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10421556 (base 9) in base 3?\nAnswer: 100110201121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-790)\/(-1560) - (-144)\/(-156)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 >= 20256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 62.6142 months?\nAnswer: 5.21785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**3 - 8*t**2 - 30*t + 44. Let b(y) = -7*y**3 - 17*y**2 - 59*y + 89. Let x(l) = 3*b(l) - 5*w(l). What is the hundreds digit of x(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/7 in 1, 129, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 8*a**2 - a + 10. Let o be w(8). Find the second derivative of 13*n**4 - 5*n**4 - 3*n + 6*n + o*n wrt n.\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22300 not equal to 18\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v + 19. Let k(d) = d + 1. Give 6*k(r) - w(r).\nAnswer: -2*r - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -118825.1602 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 22740?\nAnswer: 159180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/7 - 298*w\/7 - 296\/7 = 0. Calculate w.\nAnswer: -148, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 712*t**5 + 342*t**4 + t**3 + 5294*t + 66 wrt t?\nAnswer: 14240*t**3 + 4104*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 + 14. Let m be d(-6). What is the common denominator of m\/(-10)*(-5)\/12 and 103\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73721 divided by 667.\nAnswer: -73721\/667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9495 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (6 - 1) + -5 + (-7 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31709)\/122551 + (-2)\/(-26)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or 3\/55?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2689 + -2162. Does 35 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 41*p**7\/14 - p**4\/6 + 278*p**3\/3 + 4*p - 4. What is the second derivative of h(u) wrt u?\nAnswer: 2460*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1785.7 - 1786. Let s = 9.5 + -9. What is the closest to q in -0.3, s, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001098233169 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1, -0.11 in ascending order.\nAnswer: -1, -1\/3, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26499342?\nAnswer: 2, 3, 463, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 4893 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3527 (b) -0.38 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -22*q**3 + 167*q**2 + 13*q - 3. Let b be c(4). Solve -1305 = v - b for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 - 12*g - 24. Let c be p(6). Let k = -13 + 18. Suppose -c = 17*y - k*y. Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n - 5047 + 5065 - 18*n to the form i*n + s and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbbzdzztdbzbzzzz. Give prob of picking 1 d and 2 t.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 8*p**2 + 7*p - 6. Let x be v(7). Let f be (-2 - 1)\/(x\/(-8)). Let o = 52 - 52. Sort o, f, -1 in descending order.\nAnswer: o, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, t: 4, d: 1, x: 1, i: 1, u: 6}. Give prob of sequence td.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}