diff --git "a/data/dm_maths/full_data/2843_11255.jsonl" "b/data/dm_maths/full_data/2843_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2843_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the least common multiple of 1383 and 77448.\nAnswer: 77448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -209*j**2 + 304*j - 9 + 44*j**2 + 11 - 305*j as x + i*j + y*j**2 and give y.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*b + 10010 = -37*b - 25*b for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 551147, 2204394, 4959797, 8817350, 13777047, 19838882, 27002849?\n\"Answer: -q**3 + 551084*q**2 + 2*q + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-1*6\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(9\/(-6)) - (-3226 + 3291)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 8 - -5) + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -391 - -395. Solve 7*m - 9*m = a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(273)\/sqrt(63))\/sqrt(3).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -51*r**3 - 36*r**2 + 133*r - 25. Is b(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3238*w + 58091. Determine m(18).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11637 and 4005283.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229441?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000209643 to six decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 12:55 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145013 + 4*d**2 + 145013 + 2*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t = -17*t - 6*z - 72, -14*z - 152 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 213819169 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 1569*q**2 - 152071*q + 153664. Let p(j) = -j**3 + 785*j**2 + 76033*j - 76832. Let r(i) = -5*p(i) - 3*w(i). Suppose r(h) = 0. Calculate h.\nAnswer: -196, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/5)*y)\/((y\/(y*y*y*y**(-4\/3))*y)\/y)*y**(4\/3)\/((y\/((y*y**(1\/5))\/y))\/y) assuming y is positive.\nAnswer: y**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 - 35 = 0. Let a(h) = -5*h**2 + 11*h + 17. Let s(t) = -t**2 + 2*t + 3. Let r(m) = g*a(m) + 34*s(m). What is the second derivative of r(j) wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7182.76076 rounded to the nearest integer?\nAnswer: 7183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 962183683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35011 + 39905 = 43*q - 164250. Calculate the highest common factor of 30 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 6 = -30. Let t = 14 + p. Let s be 7 - (0 - 272\/(-40)). Which is the biggest value? (a) t (b) s (c) -0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2.7. Let k = 3.3 - r. Which is the nearest to 1? (a) k (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*i + i - 2*i in the form q + f*i and give f.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12103777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4266, -8534, -12816, -17118, -21446, -25806?\nAnswer: -30204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.467 and -313839581694.\nAnswer: -313839581693.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d = -3. Let l(i) = i + 4. Let z be l(-7). Sort z, d, 4 in descending order.\nAnswer: 4, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35271\/7 + 5039. Suppose -h + 5*z - 2 = 0, 0*z = -5*h + 3*z + 12. Suppose h*d = -2*d + 5. Sort d, -4, w in increasing order.\nAnswer: -4, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.6901994.\nAnswer: 0.27607976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000202010100 (base 3) in base 14?\nAnswer: -10303d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1893*n + 12990 = -2437*n. Let k = 3 + -3.1. Let w = k + 0.1. Which is the closest to w? (a) -16 (b) -4\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15201714023\/2489871160 - 96\/1020439. Let n = 6\/305 + l. What is the common denominator of ((-364)\/50)\/(4\/(-5)) and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 620*s - 475 - 6000 - 15845 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -19 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 9 = -4*u, -12 + 28 = -5*u + f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 0*s = 0. Put 2, -3, -5, s in ascending order.\nAnswer: -5, -3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:22 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -748*b**3 - 605*b**3 + 1219*b**3.\nAnswer: -134*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -459*a**5\/20 - 45*a**4\/2 - 29*a**3\/4 - 3*a**2\/4 - 320. What is t in g(t) = 0?\nAnswer: -1\/3, -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 4*a**2 + 2*a - 2. Let o be l(4). Let x be (1 + 3)\/(12\/o). Let d(z) = -x*z**2 + 6*z**2 + 4*z**2. Let j(i) = i. Determine d(j(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -54, -136, -262, -438, -670, -964, -1326?\nAnswer: -1762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 37. Let n(q) = -q**3 + 5*q**2 - q + 7. Let s be n(5). Suppose 1 = s*b - v. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 7:24 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 8. Let w be 5\/4 + v\/(-12). Let m = 90 - 89. What is the nearest to 0 in w, 3\/7, m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299, 871, 1817, 3131, 4807?\nAnswer: 6839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 9*r + 16*r - 26*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-12)\/(-14))\/(502\/(-84) - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201731501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -462*b - 4132. Let q be x(-9). What is the greatest common factor of 41 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-972)\/(-270)*(-4)\/6 - -3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 30. What is the greatest common divisor of s and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 - 6548*y**4 + 19608*y**3.\nAnswer: 4*y**3*(y - 1634)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 615257141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 24636.\nAnswer: 1\/12318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70063.\nAnswer: 7, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u + 1. Let i(x) = 550*x**3 + 19*x - 3*x + 13 + 3*x + 2*x**2 - 549*x**3 - 14*x**2. Let h be i(10). Let b(q) = -6*q - 2. Calculate h*w(k) + 2*b(k).\nAnswer: 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171171 and 105138.\nAnswer: 181783602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 238784406 less than 539929?\nAnswer: -238244477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*d + 2*d - 24 = 0, -3*d = -5*i + 30. Suppose -2*s - 5*m - 21 = -0*s, 2*m + i = 0. Which is the closest to -0.2? (a) -1 (b) -1\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/10 + (-2)\/10. Solve n*i + 2 = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**2. Let x(j) = -j - 40035451. What is x(b(f))?\nAnswer: 4*f**2 - 40035451","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -87*i + 2501. Let b be h(28). Is b at least as big as 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 781398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 2 + 22)*(7 + 2*s - 7)*(3 - 3 - 2)*(0 + 0 - 2).\nAnswer: 264*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 144*l - 4096. Give f(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*c - 17. Suppose c*d + 3*i = 14, -3*i = -11*d + 8*d + 21. Let h(o) = 4*o - 5. Calculate h(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-90)*3)\/(2\/3). What is the biggest value in 5, t, -11\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5719902.\nAnswer: 2, 3, 29, 71, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -55*m**3 - m**2 + 3*m + 2. Let c(x) = 109*x**3 + 2*x**2 - 7*x - 3. Determine -9*a(n) - 4*c(n).\nAnswer: 59*n**3 + n**2 + n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41 + 95?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 v when four letters picked without replacement from lasshavallsahavall.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 6. Let s be 18\/39*2\/b. Suppose -8*p + 67 = 75. What is the closest to 2\/5 in p, s, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(35) + sqrt(70)\/sqrt(2)))\/sqrt(5) + 2 + -3 + (sqrt(847)*-1 - sqrt(847)).\nAnswer: -23*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + (3 - 6 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 10, 5*a - 4*m - 27 = -5*m. Let d = -7 + 2. Sort 3, a, d in decreasing order.\nAnswer: a, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + a = 2*a + 15, 4*t + a = 85. Calculate the greatest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 0. Let j be (4\/(-4))\/((-2)\/o). Let m = -1 + j. Solve 0*f + m*f + 13 = -q, 5*f = 3*q - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179906700.\nAnswer: 2, 3, 5, 79, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (8 + 1) - (1 - 7)) + -7.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + -2 + 0 - (((sqrt(12)\/sqrt(2))\/sqrt(3))**2 - sqrt(18)*-1).\nAnswer: -4 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 2*u**3 + u**3)*(u**2 - u**2 - 2*u**2) - 1513 + 1513 - 452*u**5 - 2*u**5 - 5 + 5.\nAnswer: -458*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 350 and 28.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 185639534 and 33?\nAnswer: 185639501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1379107 or 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8932014 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12415 (base 6) in base 11?\nAnswer: -1462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 88*y + 664. Give w(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11818, -12050, -12276, -12496?\n\"Answer: 3*a**2 - 241*a - 11580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68 + 59 - 2*k + 130 - 258 + 148 to s*k + h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 14 = -4*f - 15, -2*f - 5 = -t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -76747766 and -844.7?\nAnswer: 76746921.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**2 + 4*h + 11. Let r(o) = 4*o - 2*o**2 + 5 + 5*o**2 - 2*o. Suppose -5174 - 766 = -353*p + 1013*p. Give p*r(u) + 4*d(u).\nAnswer: u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.4964 rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 10*w + 12. Let x be (-1)\/(1\/20 - 7\/28). Let q be n(x). Is -12 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, 81, 251, 531, 957, 1565?\n\"Answer: 6*t**3 + t**2 + 51*t - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**5\/5 + k**4\/4 + 8. Factor g(v).\nAnswer: v**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.5819972 + -7.542. Let r = 0.04 - u. Round r to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1 (b) -27 (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 2\/19, 3, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 14*d**2 + d + 19. Let g(r) = -r**3 - 19*r**2 - 48*r - 12. Let p be g(-16). Let a be ((-8)\/p)\/((-41)\/(-21) + -2). Calculate z(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2)*(-23 + 23 - 10*m) - 3*m + 2*m + 2*m as r*m + i and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-2.2472.\nAnswer: 31.4608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 + 264 = -75*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 387300?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)*p)**(-3\/14)\/(p\/(((p**(-2\/3)*p*p)\/p)\/p)*p)**(-2\/73) assuming p is positive.\nAnswer: p**(-871\/3066)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 9\/(-3) - 2. Solve 2*b - t = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -35. Let p(d) = 3*d**l + 3*d - 1 + 438*d**3 + 5 - 440*d**3. Determine p(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*l**5 + 666*l**4 - l**3 + 69265*l**2?\nAnswer: -660*l**2 + 15984*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaw when three letters picked without replacement from wammkpwwwaap.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/t**(-6\/7)))**(7\/2)\/(t\/((t\/(t**(-1\/14)*t))\/t*t))**39 assuming t is positive.\nAnswer: t**(-299\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -3*o**4\/4 - 20*o**3\/3 - o**2\/2 + 12*o - 1306. Let t = 3 - 10. Calculate the remainder when m(t) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + f + 2*f**2 + 3*f + 6. Let n be j(-3). Solve -5*z + n = -b, -2*z + 9 = z - 4*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 61*g**2.\nAnswer: 61*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 - (-1 + 1 + 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2105, -2166, -2313, -2588, -3033?\nAnswer: -3690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/5 - 936\/260.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20062 - 0.149\nAnswer: -20062.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 234. Suppose -115 = 5*w + 50. Let n = w - -54. What is the highest common divisor of n and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - b**2 - 1. Let f be k(2). Suppose -130 = i - 133. Solve -2*y + i = -f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262574531.8 - 27?\nAnswer: -262574558.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 5*o + 5*o)*(-3 + 2 + 3) - 5 + 2*o + 5 - 2*o + o + 0*o - 2*o + 2*o + 4*o as p*o + d and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 5 (c) -2 (d) -2\/7 (e) -1130 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((2\/(-76) + 0)*1). Let n be 2\/(-4)*(-9 - r\/4). Let x = 1174\/7 + -168. What is the biggest value in -1\/5, n, x, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360030997 to the power of 1\/3, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 21*r**2 + 75*r - 36. Let g(a) be the second derivative of a**3\/6 - a**2\/2 - 3*a. Let i(p) = 18*g(p) - t(p). Solve i(b) = 0.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-17) + 1012\/(-68) - (-18278)\/1222?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 25 + 25 - 52)*(2*c**3 - 4*c + 4*c) to the form n*c + b*c**3 + l + s*c**4 + d*c**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110.1 + -2.2. Let l = -97 + q. What is l rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48883556 by 48883556.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(sqrt(130) - (sqrt(130) + 5*(sqrt(130)*-1 + sqrt(130))) - ((-1*sqrt(130) + sqrt(130))*6 - sqrt(130)))\/(sqrt(490)*-2*-2).\nAnswer: -6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 10. Let w be c(9). Let s = -5 + w. List the prime factors of 3*((-22)\/s + 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 g when three letters picked without replacement from sgsfsdshghdd.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/19)*c*c*c**(-6\/5)*c\/(c\/((c*c*c*c*c*c\/(c\/c**(-1\/3))*c*c)\/c))*c**(-1\/3))\/(c*c\/c**(1\/4)*c*c**4*c*(c**(-2\/7))**(-5\/2)) assuming c is positive.\nAnswer: c**(-19441\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 121467 a multiple of 1013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 6*t**2. Let q be a(-6). Suppose 2*z + 7*z - 35514 = q. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -398 - -254. Find the common denominator of (-536)\/(-32) - (-1 - -1) and 2 + 1 - ((-124)\/s + 5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + l - 1 = -3*l, 0 = 3*s + 3*l + 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*a = -u - 2519988, 5*a - 629980 = u. What is u rounded to the nearest 10000?\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/6)\/g)\/g*g**(-4\/13))**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v = -3*i + 1, -4*v + 5*i = 81. Let r = v + 8. Sort 0, 2, r in descending order.\nAnswer: 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3559, -7055, -10493, -13879, -17219?\n\"Answer: -u**3 + 35*u**2 - 3594*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -15 + 7 - 20*f - 9. What is the remainder when c(-3) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 20 - 136 = 3*s, 12*f - s = 21*f + 497 for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)*-1*-3 + sqrt(684))*-5)**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 7:43 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/54)\/(6609\/9635922)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2345233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l - 7. Suppose -7*z + 3*z = 16. Let s be a(z). Suppose 4 = 4*c - 4*d, d = c + 5*d - s. Solve 5 = 4*b - c*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from {q: 1, u: 11, c: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*v - 19, 2*p - 95 = -2*p + v. Let x = p - 11. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5 + 1*sqrt(1539) + -3)*-1)**2.\nAnswer: -144*sqrt(19) + 1607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 4\/9, -4\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 0 - 2 + 6*n**3 - 4*n + 5*n**2. Let x(s) = 5*s**3 + 3*s**2 - 3*s - 2. Let z = -8 - -12. Let h be (1 - 1\/(-2))*-2. Give h*w(k) + z*x(k).\nAnswer: 2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*q + 34, 1 = -2*q - 5. Let n(x) = x**2 + 4*x - 1. Let r be n(v). Suppose 0 = 4*z - 4*o - 188, 2*z - 22 = z - r*o. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -0.2. Let n = h + 18.8. Let z = 1.6 + -2. What is the third biggest value in 0.2, n, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {b: 12, v: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, m: 2}. Give prob of sequence ffmf.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9541648*g**4 + 1878384 wrt g.\nAnswer: -38166592*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/2*(-17)\/8670*-30*17*-4?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 - 8*t - 6. Let d(i) = 17*i**2 + 32*i + 23. Let u(c) = -2*d(c) - 9*g(c). Factor u(n).\nAnswer: 2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1080 and 232?\nAnswer: 31320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199808.\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1564*i - 1565*i + 3 = 0, -733*b + 2208 = 3*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 21 = 3*a. Suppose 4*h + 5*p = 1, h + 5*p = -a - 8. Solve 3*j - 4*t = 27, 3 = -4*j - h*t + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2649*f**2 - 1964*f - 1971*f - 516*f**2 + 3935*f.\nAnswer: 2133*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 25533012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15024213959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -36*n - 21 - 19*n + 16 - 7. Is z(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 335788302*v**3 + 218051018 wrt v?\nAnswer: 1007364906*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1575))**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1416 + 940. Let n = -8 - -17. Is n\/(-15) - g\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 1, 171, 49, -5 in descending order.\nAnswer: 171, 49, 1, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2526\/45 - (-4)\/(-30). Suppose 3*h = -h + a. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(5) + (sqrt(245) - sqrt(245)*-2).\nAnswer: -1 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -62, -66?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkjnkmx. Give prob of sequence xjmk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = -17*r + 20. Suppose 0 = 2*u + 10, -5*l + 30 = -3*u - r. What is the first derivative of -38 + 12 + l*p**2 + 9 wrt p?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471166.\nAnswer: 2, 89, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**4 + 6*v**4 - 13*v**4 + (3*v + v + 0*v)*(3*v**2 - 3*v**2 - 2*v**3) + 2 - 2 + 2*v**4.\nAnswer: -19*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*y**2 + 0 + 200\/3*y = 0. Calculate y.\nAnswer: -200, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1. Let n be 101\/(-4*7\/56). Let r = n - -206. Let l(v) = -v - 2. Calculate r*i(s) - l(s).\nAnswer: s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000614505141 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*z + 355, -112 + 22 = v - 3*z. Is v less than -378\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 1. Let a(x) = -27 - x + 2*x + 12 + 16. Let f(y) = -a(y) - 2*i(y). Calculate the least common multiple of 8 and f(17).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2050 = -803. Let z be (-3 + 116\/12)*t. What is z rounded to the nearest one hundred?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -1530.\nAnswer: -12240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 150*b + 778. Let p be v(5). Let g(h) = 2*h**3 - 4*h**2 + 4*h - 4. Let c(n) = -3*n**3 + 3*n**2 - 3*n + 3. Give p*g(s) + 4*c(s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*g**2*i**2*n**2 - g**2*n**2 - 117*g**2 + 2*g*i**2*n**2 - 39*g*i*n**2 + 2*g*n**2 + 48*i**2*n + i*n wrt i?\nAnswer: 38*g**2*n**2 + 4*g*n**2 + 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttjjjtttjjjj.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 0*n**2 + 7*n**2 + 261*n**3 + 4*n**2.\nAnswer: 261*n**3 + 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/28*1*-24*49. Find the common denominator of (-158)\/6*9\/(-12) and -3*(-244)\/o*14\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 3220234?\nAnswer: 3220231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*j**4 + 1 - 2*j**3 + 0 - 98*j**4 + 50*j**4 - 5 - 69*j to v*j**3 + d*j**4 + t*j + w + p*j**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 42946501?\nAnswer: -4\/42946501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/175)\/(1\/(-10)). Let g = -32 - -33. What is the closest to 2\/3 in g, u, 2\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, 14, 3, 132, 1 in decreasing order.\nAnswer: 222, 132, 14, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2710286?\nAnswer: 2, 241, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11525*g - 3*y + 5 = 11526*g, 4*y - 6 = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 60. Let u be ((-1)\/2)\/(v\/8). What is the third smallest value in 1, -2, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131538?\nAnswer: 2, 3, 11, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 4*q - 6 + 5, 5*q + 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-45)\/(-125))\/((-12)\/40) + 20\/(-25). What is the smallest value in -730, o, -1, -5?\nAnswer: -730","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = m - 3*v - 25, 35 = 3*m + 5*v. Suppose m*s - 365 = -75. Is (-4)\/18 + s\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**7\/2520 + c**6\/120 - c**5\/15 + c**3\/6 + 18*c**2 + 6. Let f(a) be the third derivative of s(a). Determine f(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**5\/2 + g**3\/2 - 3*g. Let c(v) = 19*v**3 + 6*v. Let x(l) = 6*c(l) - 11*z(l). What is the second derivative of x(k) wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16520 - 16518. What is the biggest value in 0, 0.1, -271, 2\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*i = 231*i - 26795. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 26. Let i be (-3 + 2)\/((-7)\/(-56)). Let g be d(i). Factor -1\/2*j + 1\/2*j**3 - 1\/2*j**4 + 3\/2*j**g - 1.\nAnswer: -(j - 2)*(j - 1)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q + 5*l + 7 = 23*q + 18*q, 2*l = -q - 0*l - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 + 0*p**2 - 3*p**2 + (0*p**2 + 5*p**2 + 4*p**2)*(-17 - 17 + 37))*(4*p - p - 2*p) to b + k*p**3 + z*p**2 + s*p and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 8*c**2 + 11*c - 7. Give p(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1764, 2615, 3466, 4317, 5168, 6019?\nAnswer: 6870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*(sqrt(3) + sqrt(6)\/sqrt(2) + 4))**2.\nAnswer: 5184*sqrt(3) + 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1134*c. Let v(b) = 10*b**2 - b. Let t(r) = -52*r**2 + 5*r. Let d(g) = -t(g) - 5*v(g). Calculate d(s(n)).\nAnswer: 2571912*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.92 - 1. Let n = -3.08 - i. Let r = -0.057 - 0.943. Which is the biggest value? (a) n (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 4*x**3\/3 + 15*x**2\/2 + 8*x - 27. List the prime factors of v(7).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -528620\/847 and -624 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23410 (base 5) to base 10.\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 99\/165*20\/6. Sort -2, u, 12 in ascending order.\nAnswer: -2, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.96 + 0.04. Let s = -3 + f. What is the second smallest value in s, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = c + d - 2, 0 = 2*c + 4*d - 4. Let r(v) be the second derivative of 2*v + 1\/6*v**4 - 1\/6*v**3 + 0 - 1\/2*v**c. Factor r(h).\nAnswer: (h - 1)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v - h - 11, 4*v + 4*h = 28. What is the units digit of 2 - (v*-1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3 - 1. Suppose 5 = -f + z*v + 27, -3*v = 4*f - 66. Suppose 4*g + 2 = f. What is the highest common factor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + 2*s**4 + 0*s**4 + (2*s + 2*s**2 - 2*s)*(0*s + s**2 + 0*s) - s + s + s**4 + 487*s**3 - 897*s**3 + 16*s**4 + 419*s**3.\nAnswer: 20*s**4 + 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + (29 - 22) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**4\/24 + x**3\/6 + 80*x**2. Let r(s) = 11*s + 3. What is -4*i(g) + r(g)?\nAnswer: 7*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(2744) + sqrt(56))\/(sqrt(336)\/sqrt(3) + sqrt(7)))\/(sqrt(4) + sqrt(256)\/sqrt(4) + sqrt(12)\/sqrt(3)*5))**2 + -2.\nAnswer: -2331\/1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*o + 0 + 20 = 0, -o = 4*i - 20. Suppose s - 186 = -2*s + 3*t, 0 = -i*s + t + 236. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*i = -2*a + 20, -5*i = -2*a + 76. Find the third derivative of 27*t**4 + 11*t**4 - a*t**2 + 7*t**4 - 13*t**4 wrt t.\nAnswer: 768*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waa when three letters picked without replacement from aavawawwa?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455 = -1073*p + 3144 + 14479 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from araaaarraaa. Give prob of picking 3 a and 1 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/(1932\/(-480)) + -6. What is the third biggest value in -3, k, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**3 + i**2 - 1. Let z be y(-1). Suppose 4 = z*p - 3*p. Solve -3*c - 7 = -6*c + 2*f, -4*c + 14 = p*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -11. Suppose -b + g*c - 19 = -4*b, -b - 2*c = -13. Suppose -b*s = -4*a + 62, -5*s - 52 = -4*a + a. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 - 524?\nAnswer: -54b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182 - 754. Let r be 496\/13 - (-88)\/i. Does 40 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1700235086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/((-17)\/2))\/((-91)\/((-147875)\/50)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 209951461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 6\/9 - 445\/1335. Suppose x = 2*i + 4, 2*x = -3*i - 2*x - 6. Sort i, 1, 18, m in decreasing order.\nAnswer: 18, 1, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 3*w - 3*w + (0 + 1 - 3)*(4*w - 2*w + 0*w) - 4 - 2*w + 4 + 0*w + 6*w + 29*w)*(2 - 1 - 3)*(-11 + 3 - 1).\nAnswer: 558*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 84.21338l?\nAnswer: 84213.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-882)\/(-1470)*(-14725)\/93?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60358 or 60360?\nAnswer: 60360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152081, -304193, -456305, -608417, -760529?\nAnswer: -912641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -326*w**2 - 4*w + 301. Determine f(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**(-4\/25)*y*y)*y*y*y\/(y**(-1\/5)*y*y))\/(y*y**(-2\/25)\/y)**3 assuming y is positive.\nAnswer: y**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -58 (base 10) to base 5\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -1393?\nAnswer: -1393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -385*z**5 + 18*z**4 + 33968*z - 5 wrt z?\nAnswer: -7700*z**3 + 216*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = b, 2*b + 3*b + 40 = -3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/(-42))\/((-13)\/(273\/6)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586310 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = -6. Let g(a) = -15*a - 14. Let w be g(h). Let t = w + -17. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1495)\/2415)\/(377\/(-870))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11 + 232\/11*g**2 - 234\/11*g.\nAnswer: 2*(g - 1)*(116*g - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, u: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 13130 = -k, 2*g + 617*k = 620*k + 26215. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1096, 2199, 3302, 4405?\n\"Answer: 1103*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6591 - 26.\nAnswer: -6617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/24815 (b) 0 (c) 5 (d) 2 (e) -3 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 10 - 16 - 2 - 30*n - 7*n**2 = 0.\nAnswer: -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-2 - (-966)\/4). Let s = l - -251. What is the common denominator of s and 11\/(-3)*18\/(-20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 28371684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -3)\/(-2) - -3. Let b be 4\/(-2)*((-15)\/(-10) + 1). Put o, 2, b in decreasing order.\nAnswer: o, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - j - 6, 6031*b - 119 = 6027*b + 23*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 54 (c) 0.15 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*d + 14, 4*f - 15*d = -11*d + 32. Solve 5 = f*l - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/5)*x*x*x**(4\/7))\/((x**2\/x*x)\/x**(-2)))\/((x**(-1\/4))**(-2\/29))**19 assuming x is positive.\nAnswer: x**(-4783\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 14) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 111 (b) 3\/4 (c) -0.5 (d) 0.6 (e) -63\/11 (f) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 71. Let i(z) = 3*z**3 + 11*z**2 + 7*z + 9. Suppose -2*j - 21 = -5*j. Let y(p) = -p**3 - 5*p**2 - 3*p - 4. Determine j*y(u) + m*i(u).\nAnswer: 2*u**3 - 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1243*y**4 + y + 69759 with respect to y.\nAnswer: 4972*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52, 1872, 3690, 5506, 7320?\n\"Answer: -o**2 + 1823*o - 1770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 7*x**2 - x - 10. Let n be w(-7). Let m = n - -5. Solve -4*d = -m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5059455 - 668*z**3 + 0*z - 2*z - z**2 + 5059457 to l + u*z**2 + t*z + h*z**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s - 9. Give g(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**3 - 3 + 0*f**3 + 9*f - 5*f**3 - 7*f**2. Let k be x(5). Calculate the lowest common multiple of (k\/5)\/((-2)\/5) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2593038 is divided by 864315?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 30315456*g. Let q(u) = u. Calculate h(q(r)).\nAnswer: 30315456*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*n = 264, 2*f + 73 - 263 = -5*n. Let x = 89 - f. Does x = -3\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3632b (base 12) to base 13.\nAnswer: -27329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/10364991 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1476 divide 25037388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**4\/2 + t**3\/3 - t**2\/2 - 17. Give i(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 14 = 4*a, 3*p - 94 = -2*p - 4*a. Suppose -p = -4*c + u - 7, 0 = 4*u - 20. Solve -3 = -c*n + 7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckec when four letters picked without replacement from kkekcckkekkkkkk.\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -844 = 35*l - 2104. What is the greatest common divisor of 36 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80572577 + 3?\nAnswer: -80572574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k**2 + 0 + 3*k**2 - 3)*(-2*k - 2*k + 0*k) + 2*k**3 + k**3 + 6*k**3.\nAnswer: 13*k**3 - 4*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 111551 times 0.3\nAnswer: 33465.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - ((-1606)\/(-365) + 4\/(-1)). What is the closest to 2\/7 in 3, -4, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1755850*m**6 + 48*m**5 - 477543275*m**2.\nAnswer: -210702000*m**3 + 2880*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 9*l - 7. Let g be i(-7). What are the prime factors of (2*-3)\/((-21)\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3986.5 and -0.1?\nAnswer: -398.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (8 + -11) - -70.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 3. Let s(c) = 1. Let y(w) = -6*s(w) + 2*u(w). Let g(j) = -45*j + 48*j - 16 - 23 + 10. Determine y(g(l)).\nAnswer: 18*l**2 - 348*l + 1682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 430 (base 5) to base 9\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -64. Let o(k) be the second derivative of k**3\/6 + 9*k**2\/2 + 12*k. What is the lowest common multiple of 39 and o(g)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 610569 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 16095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 + 15*q**2 - 7*q**3 - 7*q**2.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8214186.\nAnswer: 2, 3, 41, 33391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28736, -115002, -258780, -460070, -718872?\nAnswer: -1035186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 354686 + -354682. Factor -9*m - 4 + 3\/2*m**p - 7\/2*m**2 + 7\/2*m**3 - 1\/2*m**5.\nAnswer: -(m - 4)*(m - 2)*(m + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 12) to base 6.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3840863 divided by -1.\nAnswer: 3840863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 833895 and 555930.\nAnswer: 1667790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 take away 0.66003739?\nAnswer: -43.66003739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.386 millilitres in litres?\nAnswer: 0.238386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77592 and 83210?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 + 16528*s**4 - 16521*s**4 - 2*s**2 - s - 5 + 6 as j*s + k*s**3 + g*s**2 + o*s**4 + m and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 5*c**2 + c + 8. Let y be i(-5). Let o(k) be the second derivative of 0 - 1\/8*k**2 - 1\/12*k**y - k - 1\/48*k**4. Factor o(g).\nAnswer: -(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1\/5, 4\/3, 0.11, -6\/13, -0.4?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w + 5 = j + 27*w, -j + w = -1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k = 25. Let d(t) = -t**3 + 5*t**2 - 2*t - 5. Let s be d(4). Find the second derivative of -3*f**2 + k*f - s*f**2 - 2*f wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7475 or -8227?\nAnswer: -7475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuuu when four letters picked without replacement from kkukuukuuukuuu.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24291767 or -24291764?\nAnswer: -24291764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 8.087.\nAnswer: -4.0435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -132 - (124 + (151 - 264)).\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -4, -3566453 in increasing order.\nAnswer: -3566453, -38, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5574, 4, 2, 3 in decreasing order.\nAnswer: 4, 3, 2, -5574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1 in 0.5, 5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 16*k + 12*k + 343 = 0, 3*k + 61 = z. Calculate the remainder when 200 is divided by z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 19275.\nAnswer: 2\/6425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*t - 3. Suppose 12 = -r - 2*r + t*x, 5*x = 3*r + 14. Suppose 4*g = m + 4, 0 = -2*m + 6 + 2. Put -2, g, r in ascending order.\nAnswer: r, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -494*d. Let h(c) = 2*c**2. What is h(s(k))?\nAnswer: 488072*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/12 and 133\/360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197 - 196.83. Let y = k + 4.83. Which is the fourth biggest value? (a) 0.5 (b) y (c) -1\/3 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -3\/23 (b) -0.1 (c) 3\/20 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.776 in -4, -2, 3262?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 14, 1\/2, -0.1, 9 in ascending order.\nAnswer: -0.1, 0.1, 1\/2, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 127 + 14*j - 52 + 76 + 10*j + 44. Let x be f(-8). Let q = 35 + -20. Solve -x + q = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 25.0000296. What is m rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, u: 3, i: 2}. What is prob of sequence jji?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1512*y**2 + 760*y**2 + 753*y**2. Let s(w) = -w - 7. Determine q(s(m)).\nAnswer: m**2 + 14*m + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*g**3*l**2 + 19*b*g**3*l - 144*b*g*l**2 - b*l + 5*g**3 - g*l wrt l.\nAnswer: -4*b*g**3 - 288*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 52\/3*(-27)\/(-18). Let k be 7\/((-21)\/y)*3. Let g = k - -22. Which is the nearest to -1? (a) g (b) -2\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.103 in 0.4, -4, 0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drnnd. What is prob of sequence dnd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - 175. Let n = 232 + s. Let b(j) = -j**2 + j - 9. What is b(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/17487 + 172195\/129508722. What is the common denominator of b and 97\/10?\nAnswer: 37030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2814523, 5629047, 8443571?\nAnswer: 11258095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12*w**2 - 5*w - 14. Let u be l(-6). Let g = 418 + u. What is the second biggest value in g, 1, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3294 and 3618.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2. Calculate the common denominator of ((-69)\/4)\/((-60)\/8) and i\/(-2) + (-113)\/(-12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7118797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-2)\/(-3))*-6. Suppose 31 + u = m. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-4))\/(4\/(-8)). Suppose -3*f = 2*p - 94, -z*f + 3*p = -p - 164. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5185, -20785, -46779, -83161, -129925, -187065, -254575?\n\"Answer: s**3 - 5203*s**2 + 2*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66520594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 14196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 25. Let k(r) = 22*r**3 + r**2 + r + 1. Let p be k(-1). Determine l(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3 + 3 - a + 2*a. What is the units digit of b(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324869.8103 - 0.3\nAnswer: -324870.1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -192422340 to the nearest 100000.\nAnswer: -192400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -613358 and 5.\nAnswer: -3066790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 4*c - 4. Let x(w) be the second derivative of w**4\/3 + 5*w**3\/6 - 5*w**2\/2 + 9*w. Let p be (6\/(-9))\/((-4)\/30). Give p*o(f) - 4*x(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124141\/94542 - -8\/2251. Calculate the common denominator of 39\/5 and v.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 219.13947 to one decimal place.\nAnswer: 219.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*x + 3*x - 14, -3*x - 2*k = -19. Let l = x - -5. Suppose 0 = 5*h - 30. Calculate the lowest common multiple of h and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-8))\/(-1)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a - 1. Let t be b(-2). Let j = t + 1. Find the common denominator of -83\/6 and 178\/10*(-20)\/j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmm when three letters picked without replacement from {m: 2, t: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21316)\/219 + 96)*(0 + (-3)\/50).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10476 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2316 + w**2 + 1155 + 1161.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 75.6.\nAnswer: -77.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 3146 - 3146 - 104*b**2 to the form y*b**2 + h*b + v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38631385 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -14 - (16 - (2 + (-4 - -8)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {t: 6, p: 4, v: 1, s: 3}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 18*g + 119 = 0. Let x(u) be the second derivative of -1\/6*u**3 + u + 1\/10*u**5 + 1\/6*u**4 - 1\/42*u**g - 1\/30*u**6 - 1\/2*u**2 + 0. Factor x(z).\nAnswer: -(z - 1)**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 16565*h**3 - 13*h - 9. Let a(j) = 4140*j**3 - 3*j - 2. Calculate -18*a(i) + 4*d(i).\nAnswer: -8260*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 - a?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 170 - 5?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 60, 54, 58, 72, 96?\n\"Answer: 5*s**2 - 21*s + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 0.583.\nAnswer: 0.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-16))**(22\/3)\/(p*p\/(p**(18\/11)*p)*(p*p**(-5\/6))\/p) assuming p is positive.\nAnswer: p**(-2549\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + o**3 + 2 - 1 - 2*o + o**4 - o**2 to the form t*o**3 + k*o**2 + b*o + g + c*o**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-3)\/(-12)*0)\/1)\/1. Sort -4, -3, t, 2 in ascending order.\nAnswer: -4, -3, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2611, 10450, 23517, 41812, 65335, 94086, 128065?\nAnswer: 167272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.3, 7, -34\/5, 3 in descending order.\nAnswer: 7, 6, 3, 0.3, -34\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 10. Calculate the smallest common multiple of k(6) and 12\/(2 + 8\/(-6)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 6 - (6 - 9 - -8) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*u - 25*u - 11*u + 14*u in the form t*u + o and give t.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(3\/(-9)))\/(4\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*w + 0)*(w - 3*w + 3*w) + 167*w**2 - 115*w**2 + 562*w**2 as z + j*w**2 + v*w and give j.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a. Let x(h) = -4*h. Let z(r) = -5*u(r) + 2*x(r). Let l(d) be the second derivative of 0*d**2 + 0 + 11\/12*d**4 + 0*d**3 - d. Give l(z(n)).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -54*f + 280. Let n be b(5). What is the highest common divisor of n and 2060?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -0.5. Let r = 3.6 - b. Let f = 3 + -3. What is the second biggest value in f, -5, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3 - 1. Suppose 3*f = -3*u + 5*f - 2, 0 = 4*f - 4. Do u and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35972 (base 11) to base 9\nAnswer: -77875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11101100100000101?\nAnswer: 11101100100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-3)\/(-10) + 1116\/1080. What is the nearest to -20 in 1, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*k**2 + 39*k**2 - 6*k**2 + 99*k**2 in the form p*k + b + g*k**2 and give g.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/6 + 3919*w**3\/6 + 1413299*w**2\/2 - 235323923*w\/6 - 864309580555\/3.\nAnswer: (w - 530)*(w + 1483)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l + 64. Let p be m(-5). Suppose p*k + 60 = 250. Solve i = -5*f - 12, -2*i - 2 - k = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79162534 and 4?\nAnswer: -316650136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + -2.5. Let q = 247.92 + -252. Let d = q + 4. What is the smallest value in -2, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**5\/30 - 17*a**4\/24 - 3*a**3\/2 + a**2 - 113*a. Let d(w) = w**2 + 9*w + 5. Let c(k) = -5*d(k) - 3*z(k). Give c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251295 to the power of 1\/2, to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*((-31)\/11 - 3) - (-24)\/132. Solve 2*b + y = -5*w, 2*w + 1 = -3*b + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7449 by -56.\nAnswer: -7449\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20250604 times 1.4\nAnswer: 28350845.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 307026 and 740?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 317*j - 8868. What is w(-31)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let p(n) = -3*n - 121204. Calculate u(p(k)).\nAnswer: -3*k - 121204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -42 + r**3 + 46 + 0*r**3. Let p be d(0). Let i(f) = 83*f - 9. Is i(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 25*v**8\/392 - 13*v**7\/147 - 29*v**6\/60 + 349*v**5\/210 - 16*v**4\/7 + 12*v**3\/7 - 265*v**2. Find z such that s(z) = 0.\nAnswer: -2, 3\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 n when four letters picked without replacement from {n: 9, w: 5}?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -3, 0.4, 0.136, -54?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let x = 37.13 - 32.13. Which is the third smallest value? (a) 0 (b) -3 (c) x (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 2. Let v be a(3). Suppose -v - 4 = -5*t. Let j = -1 - t. Sort 1, j, 0.\nAnswer: j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 4 - (10\/2 - 8). Let r(i) = 0*i**2 + 0*i**2 - i**2 + i + 5. Determine r(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**9\/28728 - w**8\/7980 - w**7\/2660 - 3*w**3\/2 + 21*w. Let r(u) be the second derivative of l(u). Factor r(v).\nAnswer: 2*v**3*(v - 3)*(v + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -132.218.\nAnswer: -39.6654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1209164 and 10538?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - -5. Let b(a) = -a**3 - 17 - 11*a**2 + 4*a**2 - 3*a**2 + 2*a**2 - 11*a. Let r be b(-7). What is the highest common divisor of r and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-38)\/57 + (3887063\/3 - -3). Let q = 6365690 - r. What is q rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1543670002.5 + -8.715\nAnswer: 1543669993.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 28 = -4*z, -z = -0*y + 2*y - 12. Solve z*t - 9 = 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m - 5*m - 2*m**2 + 4*m**2 + 2*m in the form u + w*m**2 + p*m and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -289932 - -1282669. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 2*o**2 + 4*o. Let a be ((-90)\/(-35))\/((-2)\/(-28)). Let x be (6\/(-9))\/(8\/a). What is y(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/37 > -1.2912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + b0?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3401 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9413, 9223, 8899, 8435, 7825, 7063?\nAnswer: 6143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*u - 2. Let g = u + -18. Let a = 32 + g. Calculate the remainder when a is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 29\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 75?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137095*i**3 + 68082*i**3 + 69006*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2209 is divided by 105.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -q + 6784, 14*q - 4*b + 33950 = 19*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 2)\/(16 + -14). Sort 422, i, 2 in ascending order.\nAnswer: i, 2, 422","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 3*g - 12 = -3*d, -2*g = -6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/7 (b) -0.3 (c) -3\/4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -92\/67, 1, -11, 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159024752?\nAnswer: 2, 9939047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2*g - 4)*(38 - 43 + g - 2*g) as j*g**2 + r*g + l and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/45)\/s*s**(-9\/10))**19 assuming s is positive.\nAnswer: s**(-323\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.698 (b) -1\/3 (c) 2 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -180\/13 + 527\/39. Let v = -3.4 - 0.6. What is the nearest to c in -2, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1703573 to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (360\/1632)\/(678\/(-1921))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2418 and 151\/294.\nAnswer: 118482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27b8475 (base 14) to base 8.\nAnswer: 111403207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*v**4 - 40*v**3 + 186*v**2\/7 - 36*v\/7 = 0. What is v?\nAnswer: 0, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3 = 5*c - 74, -d + 2*c - 14 = 0. Let l be (6\/(-4))\/((-9)\/d). Let j(v) = -v**2 - 5*v - 4. Determine j(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40568078*h**2*m*n - 7*h*m*n - h*m - 21*h - 39*m + 4 wrt h?\nAnswer: 81136156*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -57, -146, -255, -372, -485, -582, -651, -680?\n\"Answer: 2*h**3 - 22*h**2 - 37*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-44))\/(17\/(-306)). What is the third biggest value in 0.03, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 3 - y + 0 + 3*y**2. Let u(g) = -3*g - 2. Let o be u(-2). Is w(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1191274847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20033 (base 5) to base 15.\nAnswer: -598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6040.23? (a) 0.3 (b) 4 (c) 0.5 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 28 = 2*y, -s + 5*y - 36 = -5*s. Suppose -s*t + 105 = 3*h, 4*h + 2*t + 10 - 140 = 0. Factor -18 + 28 + 45*a**2 + 5*a**4 - h*a**3 - 35*a + 6*a**3.\nAnswer: 5*(a - 2)*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 - -2 - (0 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/4 - 1105773*a\/2 - 109500930.\nAnswer: 3*(a - 737380)*(a + 198)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2 (c) -1\/180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1\/6, 1, -2, -0.3, 12731.5, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 610*x**5 - 2*x**4 + 2471*x**2 - 2*x + 2 wrt x?\nAnswer: 36600*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186086383 to the nearest integer?\nAnswer: 13641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*u - 2, 4*b - 4*u - 26 = -b. Let l(w) = -3 + 4*w - 2*w - w**b + w - w. What is l(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8692475 is divided by 79?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**4 - 62*q**3 - 142*q**2 - 118*q - 26. Let i(c) = 19*c**4 + 187*c**3 + 425*c**2 + 353*c + 79. Let l(y) = 6*i(y) + 17*p(y). Factor l(g).\nAnswer: 4*(g + 1)*(g + 2)**2*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 - -2. Let j(p) = -2*p**2 - 24*p + 16. Let t be j(-12). Let q be 4\/t - (-63)\/(-12). Which is the nearest to 1? (a) q (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/7 + 880*d**2\/7 + 762*d + 8028\/7 = 0. Calculate d.\nAnswer: -3, 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27275\/44 at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -13.6. Which is the nearest to -0.2? (a) -3 (b) s (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**4 + 512*g**3 + 53184*g**2 + 905728*g - 4505600 = 0. Calculate g.\nAnswer: -44, -32, 4, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/11 (b) 317 (c) -2 (d) -136 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 160\/15*21\/14. Let v be (-6)\/4*(-15 - -13). Solve -g - 3*o - v = -6*g, -w = -4*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 3*u**2 - 5*u + 7. What is the remainder when z(5) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 8:22 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20332022 + 2?\nAnswer: 20332030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgo when three letters picked without replacement from adygdtyatayggoat.\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 3*z + 8 = 0, 0 = -5*z - 1816 + 1796 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 3*r + 35. Calculate i(-21).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + 2*c - 7*c + (-4 + 4 - c)*(-5 + 1 + 1) + 2*c + c - 2*c in the form h + o*c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77256807 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -15*b + 8. What is the units digit of x(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlmq when four letters picked without replacement from lmqnyylntmytnltn.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)\/y*y)**19)**22 assuming y is positive.\nAnswer: y**(-836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w - 13. Let q = 39 - 31. What is the tens digit of z(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 67*h + 18. Let b be a(17). Suppose -7*g + 247 = b. List the prime factors of 3*(-2 - g\/6).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 32 - 18 - 153*r.\nAnswer: -153*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*c**3 + 8040*c**2 - 2*c + 411527 wrt c?\nAnswer: 15*c**2 + 16080*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -91, -88, -71, -40, 5?\n\"Answer: 7*c**2 - 18*c - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**3 - 3*p**2 - 7. Find the second derivative of h(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 5 - (-225)\/(-2). Let n = d - -117. What is the closest to 2 in -1\/6, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5501.9063 from -621.\nAnswer: -6122.9063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**2\/v*v)\/(v\/v**(-8)))\/(v**0\/v)**(3\/8) assuming v is positive.\nAnswer: v**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2295*j**4 + 6882*j**3 + 9*j**2 = 0.\nAnswer: -1\/765, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7067040 divided by -176676.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 6. Let v = -5 + 9. What is the biggest value in v, -1, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 3*z - 2. Let b be i(-2). Let g = -4 - b. Determine u so that -4 - u**4 + 14*u + g*u**4 - 4*u**3 - 18*u**2 + 14*u**3 - u**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**4\/78 + 295*n**3\/39 - 294*n**2\/13 + 93*n. Factor l(w).\nAnswer: -2*(w - 294)*(w - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 = 8. Factor -4 - 6*m**3 + 0*m**3 - m**4 - 12*m - 13*m**2 + 4*m**v - 4*m**4.\nAnswer: -(m + 1)**2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39665069?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 27 + 3*y - 35 + y.\nAnswer: 4*y - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (5 - 1)) + -18 + 36 + -17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139989 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -4, 4\/5, -0.5, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52\/7*s**4 - s + 66\/7*s**2 - 9\/7*s**5 - 96\/7*s**3 - 6\/7 = 0.\nAnswer: -2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppe when three letters picked without replacement from {p: 3, e: 6, h: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108978?\nAnswer: 2, 13, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-4\/7)\/f*f*f)*f**(-3))**(-31) assuming f is positive.\nAnswer: f**(744\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 10:48 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/11 - 4104*k**2\/11 - 332438*k\/11 + 336540\/11 = 0. Calculate k.\nAnswer: -79, 1, 2130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4))**(-14))**10 assuming c is positive.\nAnswer: c**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1052.4 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 6*a + 6. Let r be p(0). Solve -3*s - r = -s + 2*l, 3*l - 3 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92\/15 + 727\/60. What is the common denominator of -39 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5949 and 62134.\nAnswer: 559206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89091\/7 - 12582. Let y = p + -145. Let v = -1085 + 5427\/5. Which is the closest to -3\/5? (a) 3\/5 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 r, and 1 b when four letters picked without replacement from {r: 5, b: 7, a: 4, p: 2}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 14*l**2 - 13*l + 37. Let d be w(-15). Suppose -3*u + 5*o - 41 = -d*u, 26 = u - 4*o. Is u less than or equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 - 87 = -d + 85 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 0*z**4 + 134\/3*z**6 + 0*z**5 + 0*z + 23*z**2 - 67 + 0*z**3. What is the second derivative of u(t) wrt t?\nAnswer: 5360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90296, -90318, -90344, -90374, -90408, -90446, -90488?\nAnswer: -90534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143660615.\nAnswer: 5, 7, 19, 349, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*q = 1160 - 253 + 221 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2. Let y be z(2). Let l = 64.4465 + -64.5065. What is the fourth smallest value in -2, l, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009 times 0.1?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/6*(-2 + -4*9) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x**2 + 16 - 16)*(3 - 3 - 2*x + (6*x + x - 5*x)*(-4 + 5 - 2) + x - 3*x + 0*x + 9*x + 10*x - 5*x)*(5 + 38 + 0 + 3).\nAnswer: -5520*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 1:24 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154519172, -154519173, -154519174, -154519175, -154519176, -154519177?\nAnswer: -154519178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139912020239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(5\/6)\/v)**20)**(-5\/11) assuming v is positive.\nAnswer: v**(50\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2300608644001\/2880 - -798822454. Let j = -1\/2880 - o. Calculate the common denominator of (5 - 0)\/((-6)\/22) and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 144620, 289247, 433860, 578453, 723020, 867555, 1012052, 1156505?\n\"Answer: -z**3 - z**2 + 144637*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t**3 - 23*t**2 + 39*t + 10. Determine r(2).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 0)**2 + (sqrt(187)\/(-4*sqrt(11)))**2)*1.\nAnswer: 4369\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 - -112. Suppose 0*c + a = c - 8, -3*a + o = 2*c. Suppose 0 = c*d - 14*d + 5. Solve d*x + 2*s + 14 + 8 = 0, 5*s = -5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -0.2, -0.3, 499, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, r: 7, l: 1}. What is prob of picking 2 r?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526973 is divided by 1192.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 20*x**2 - 19*x + 20. Let r be v(13). Let c be (-2 + r\/3)\/((-7)\/2100). What is c rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 11. Let j = y + -1.00012. Round j to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 0*p**4 + 3\/2*p**2 + 0*p**5 - 1\/6*p**6 + 0*p**3 + 0*p - 1. What is the second derivative of t(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167835 divided by -33567?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 - -26.15. Let k = f + -26.47. Let l = 3.53 - k. Which is the closest to 0.1? (a) -3\/4 (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72049386 and 5105862?\nAnswer: 648444474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47273 or -47271?\nAnswer: -47273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 5:27 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j**2. Let r(v) = -12*v - 12*v - 13*v - v + 13*v. What is a(r(s))?\nAnswer: 6250*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47958.\nAnswer: 2, 3, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2. Let p be (-1 - 1)\/(-3 - -5). Let c = 2 - p. Let d(v) = 3*v + 3*v - c*v. What is d(q(g))?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66275 is divided by 263.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9 - 564*v + 18 - 6. Let r be u(5). Let z = -4107 - r. What is z rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 6*k + 1. Let y = -41 - -47. Give n(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(2 + (-4)\/1). What is the lowest common multiple of d + 8 - (-2 + 3) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(11*a - 13*a - 18*a).\nAnswer: -40*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/2)\/((-5)\/6). Differentiate -90*x**3 + 93*x**3 - w*x - 32 - 6*x**2 + 3*x with respect to x.\nAnswer: 9*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.1645, 159?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 5*r - 5*j - 421, 2*r + 3*j - 171 = 0. What is the highest common divisor of 108 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -67 (b) 0.2 (c) -5 (d) 53\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*m + 55, 4*m - 3*f - 6 = 39. What is the smallest common multiple of m and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5212388 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*x**3 - 3*x**3 + 51*x**3.\nAnswer: 89*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 5*l**2. Let q be y(5). Suppose q = -z - 2*z + 15. Solve -z = 4*x + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7 = -9. Suppose 2*y - 3*y = h*m - 16, 3*y - 27 = -5*m. Solve 0 = v + w + 2, -y*v + 8*w - 4*w = 32 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3256, -3255, -3254, -3253, -3252, -3251?\n\"Answer: i - 3257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 14*p**2. Let v(k) = -2*k**2 + 83179*k. Calculate v(x(q)).\nAnswer: -392*q**4 + 1164506*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.4 in 1, -0.3, -4, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4168346640?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/7500 and -59\/1832.\nAnswer: 3435000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 196\/(-6)*196\/147. Is -43 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -1, -1321, -2\/15, 0.2, -1.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = 43*p - 54. Calculate the least common multiple of 105 and p.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 > 0.32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2332*c*w**3 - 2*c*w - 2639*w**3 with respect to c.\nAnswer: -2332*w**3 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -497*a - 343. Let i(z) = 1001*z + 686. Let u(c) = 4*i(c) + 9*j(c). Differentiate u(g) wrt g.\nAnswer: -469","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g - 49 = 5*i, 5*i = -g - 43. Let c(f) = -3*f**3 - 8*f**2 - 9*f - 2. Let v be c(i). Suppose 3*x + 109 = v. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 4:42 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a30179 (base 11) to base 10.\nAnswer: -1654640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3918 - 53*z**3 - 10*z + 3918 in the form c*z**2 + i*z**3 + u + g*z and give i.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -236*i*z**5 + 7*i*z**3 + 889*i*z + i - z**3 + z + 1 wrt z?\nAnswer: -4720*i*z**3 + 42*i*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18512714 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2351*g + 2*j - 22 = -2355*g, 5*g - 3*j = -11. Suppose 12\/5*f**4 + 12*f + 38\/5*f**g + 0 - 14*f**3 = 0. Calculate f.\nAnswer: -2\/3, 0, 3\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6346790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*u - 5*i, 0 = u + 2*i - 0*i - 33. Let l = u + -19. Calculate the highest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165140771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(y + 41 + 30 - 28).\nAnswer: -y - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 2*x + 2. Let b = -30 - -15. Let h = 3 - b. Let q(a) = -4*a**2 + 5*a**2 + 2*a + h - 20. Give 5*d(s) + 6*q(s).\nAnswer: s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, u: 2}. What is prob of picking 1 j and 1 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 12. Let p(f) = 540*f**3 - f - 2. Let z be p(-2). Let q be (250\/h)\/((-2)\/z). Round q to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/3*1\/(-3)*-1. Let d be 1*((-8)\/(-3) + m). Which is the closest to -2\/3? (a) d (b) -9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 293799 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*l - 30. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 253.542, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - 28*d**2 - 138*d - 82. List the prime factors of k(29).\nAnswer: 2, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 12*w**2 - 12*w - 4. Let n(o) = o**3 + 16*o**2 + 2*o + 36. Let q be n(-16). What is the tens digit of x(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1186*t - 1177*t + 54 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -848 + 833. Let k(x) = x**3 + 15*x**2 - 4*x - 17. Let v(i) = -i. Let u(m) = -k(m) + 3*v(m). Calculate the remainder when 7 is divided by u(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17783 - 8169 - 102489 = 1247*i for i.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**3 - 3*u**2 - 3*u + 3. Let s(x) = -x**3 - x**2 - x + 1. Let w = -64 + 67. Suppose -5*c + 2*d - w*d + 15 = 0, -4*d = 0. Determine c*s(b) - j(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.926 - -1.76. Let j = b + 0.066. Let h = -789\/7 - -113. What is the smallest value in h, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**3*p - 8770*d**3 - d**2*p + 2*d**2 + d - 167*p + 173 wrt d?\nAnswer: 18*d*p - 52620*d - 2*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(-4 + (-5)\/(-1))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1 (c) -7 (d) 28 (e) 5\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 24. Let i be s(-12). Suppose -n + 4*k + 160 = i, 0 = -2*n + 2*k + 491 - 195. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 12:25 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101172696 to the power of 1\/2, to the nearest integer?\nAnswer: 10058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -91 (c) -22933\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1854*i + 1860*i - 18 = 0. Let q(b) be the second derivative of -b**3\/2 - b**2 + b. Let g be q(-3). Solve -5*r + 34 = 3*p, 4*p - 4*r = -i*r + g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11001101010110011 (base 2) to base 6\nAnswer: -2130431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4887317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10000 by -250.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283706979.\nAnswer: 3, 2819, 33547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176107618.\nAnswer: 2, 19, 43, 107777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2568180*o**4 - 45*o**3 + 509504820?\nAnswer: -10272720*o**3 - 135*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 416836386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 12516*y - 19581282.\nAnswer: -2*(y - 3129)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1265 - 13936\/11. Find the common denominator of l and 55*2\/(-56)*2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -145*c**4 + 1451*c - 1451*c + (-2*c**3 - 2*c**3 + 6*c**3)*(4*c - 2*c + 0*c) + 18*c - 18*c - 3*c**4 + 0*c**4 - 2*c**4 + 0*c**4.\nAnswer: -146*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**4 + 2*n - 2*n + (0*n + 4*n - 2*n)*(n**3 - 6*n**3 + 3*n**3).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 10*c**2 + c + 4. Let v be k(8). Suppose -8*o + v = -3*o. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 10*d - 413. Calculate the greatest common divisor of d and 966.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) -3\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 20*v - 2*t = -60246, -4*t - 90327 = -3*v. List the prime factors of v.\nAnswer: 3, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4290969647?\nAnswer: 2693, 1593379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 432850767 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156\/(-234) - (-63050)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27, 5, 53, 123, 221, 353, 525?\n\"Answer: y**3 + 2*y**2 + 19*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 16*j**2 + 14*j + 18. What is the units digit of u(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735440?\nAnswer: 2, 3, 5, 7, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-21))\/((-26)\/20631*23)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**2. Let y(z) be the third derivative of -z**4\/12 + 8*z**2. Calculate y(c(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)\/(2\/6). Let h(i) = -2*i**2 - 95*i - 306. Let u be h(-44). Suppose 4*l = 4, -u*t - r*t - l + 8001 = 0. Round t to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 1224*b**2 + 161102*b + 259. Calculate c(-150).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -675, -2723, -6137, -10917, -17063?\nAnswer: -24575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 0 + sqrt(405) + sqrt(405) + (-1 + sqrt(405) - sqrt(405))**2 - ((sqrt(4840) + sqrt(40))\/sqrt(8) + -4)) + 2.\nAnswer: 7 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-158)\/(-7))\/(5994\/1197 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 5*g - 4*g)*(-8*g**2 - 2*g**2 + 2*g**2) + 62*g - 62*g + 4*g**3.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*d + 20, 2*k = 3*k + 2*d - 5. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1209 or -7\/4?\nAnswer: 1209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43675.\nAnswer: 5, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/p**(-1\/2)*p**(-2)*p\/(p**(-4\/3)*p))**(-14) assuming p is positive.\nAnswer: p**(217\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d. Solve 0*f + 3*f = d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24332*b**3 - 24336*b**3 - 8*b + 23*b - 15*b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coo when three letters picked without replacement from ccccccocccccccccoocc?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-12))\/(7\/(-168)). Suppose 5*x = -r - 2. Let m be x\/(-4)*(6 + 1). Let k(t) = -t**3 + 8*t**2 - 7*t + 3. Calculate k(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 4008619?\nAnswer: 4008623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1843666, 1843688, 1843710?\nAnswer: 1843732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(55)\/sqrt(891) - sqrt(20)\/(sqrt(144)*1))**2.\nAnswer: -2*sqrt(5)\/9 + 1301\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 804411*u**3 + 44 - 44.\nAnswer: 804411*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5226 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67.772066 + 67.75. What is h rounded to 4 dps?\nAnswer: -0.0221","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 54 = 5*x, 9215*x - 9217*x + z - 4*z = -9 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5265 = -x + 153*x - 857 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17123645.89240437 + 17123646. Let c = -0.1076 + a. Round c to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 0.7, 21218, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 89*s + 500. Let a be d(-83). Sort 4, -4, a, -1, -14.\nAnswer: -14, -4, -1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4082881860?\nAnswer: 2, 3, 5, 22682677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 452 = -r, -r + 238 + 102 = 3*f. Let t = 364 - f. Is t a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -321.943 - -320.1. Round s to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/59, -4, 31, 0 in decreasing order.\nAnswer: 31, 0, -1\/59, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14*(-672350)\/(-5100))\/(3*1\/(-9))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208*b**6*u - 7*b**2 + 11*b*u wrt b?\nAnswer: -24960*b**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1071089910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-4 + 2 + 1). Let i(h) = 3*h - 4. Let w be i(o). Suppose 0*b + 176 = 2*b. Calculate the greatest common divisor of b and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -29 + 6 + -15\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 5*l + 1. What is x(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 220, 2, 0, -1 in decreasing order.\nAnswer: 220, 2, 0, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 132, 242, 354, 468, 584?\n\"Answer: n**2 + 105*n - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 242 - 7 = -2*s, 2*s + 4*f = 264. Solve -s = 33*b - 12*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 168, 179, 182, 171?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 1474*w - 11849. Calculate m(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172 - 160. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14047 = -2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/5)*s\/((s*(s\/s**(1\/2))\/s*s)\/s))**41 assuming s is positive.\nAnswer: s**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20*(-4 - 27\/(-6)). Calculate the highest common factor of h and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*(((sqrt(931) - (sqrt(931)*3 + sqrt(931)) - sqrt(931)) + sqrt(931))*2 - (sqrt(931) + -2 + -5 + sqrt(931) - sqrt(931))))**2 + 0.\nAnswer: -1960*sqrt(19) + 182576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4860*r + 9838. Give u(2).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3524.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(1*sqrt(1452))\/sqrt(6).\nAnswer: -220*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by 27\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcc when three letters picked without replacement from vccvvvvcvvvvvvcvvcv.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -329*n - 213. What is the tens digit of f(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420089180 divided by 4?\nAnswer: 105022295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u**2 - 18*u - 3. Let c(b) = 232*b**2 + 384*b + 64. Let x(q) = -3*c(q) - 64*l(q). Let n(z) = -14*z. Calculate n(x(r)).\nAnswer: -112*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 21858270129.\nAnswer: 21858270129.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8190.999987178 + -8191. What is z rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62626, -62617, -62584, -62515, -62398, -62221, -61972, -61639?\n\"Answer: 2*m**3 - 5*m - 62623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**2 + 883*w**2 + 553*w**2.\nAnswer: 1453*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7995*p**3 + 555*p**2 - 6691154*p wrt p?\nAnswer: -47970*p + 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 5456 + 15309 = -158*h for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((-15)\/((-1620)\/(-126)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 439 - 441 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 267*i**2 - 529*i**2 + 36*i**3 + 3*i + 263*i**2 to the form d*i + r + n*i**2 + f*i**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -98, 11, -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 38607 = 3*g, 10*y + 5*g = 13*y - 115765. List the prime factors of y.\nAnswer: 3, 5, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -1.26 (b) -4 (c) 35 (d) 0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**4 - o**3 - o**2 + 1. Let z(p) = 7*p**4 - 7*p**3 - 5*p**2 + 8. Let m(u) = -10*x(u) + 2*z(u). Let r(j) = -1. Let a(v) = m(v) + 6*r(v). Factor a(b).\nAnswer: 4*b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93*p - 185*p + 426*p - 125*p - 143*p - 4*p**2 - 224.\nAnswer: -4*(p + 2)*(p + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in -0.1, -146, 120?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -856672983 minus -1149.2?\nAnswer: -856671833.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1924689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101731, 101336, 100669, 99724, 98495?\nAnswer: 96976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17958 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -290751 < -290742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 11810354018 - 11810354018.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*s - 3, -36*g = 3*s - 38*g - 15. Let 32\/5*q**2 + 6\/5*q + 8\/5*q**4 + 6*q**s - 4\/5 = 0. What is q?\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -7 + 2, 2*a - 295 = -3*v. Let z = a - -113. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 65 + 25 = 0. Let a = m + 41. Suppose -l + 2*l - a = 0. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/774 + -16*(-36)\/(-2408).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.4 + -4. Let k be (-5)\/((-225)\/20)*(-6)\/(-8). Which is the smallest value? (a) k (b) 2\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o = -83*o - 875 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 2*c**2 - 1. Let w(u) = 2*u**3 - 2*u**2 - 1. Determine 4*w(s) - 3*z(s).\nAnswer: 2*s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3017175792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - b - 14. Suppose -2 = w - 7, 0 = c + 3*w - 20. Suppose 0 = 4*j + 5*r - 5, -j + 4*j = -c*r + 5. Give h(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262 - 762. Round z to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/21 and 29\/324.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, -41, -69, -99, -131, -165, -201?\n\"Answer: -h**2 - 23*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 - 2*t - 7726. Let m(l) = 2*l + 2060. Calculate f(m(u)).\nAnswer: 12*u**2 + 24716*u + 12718954","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 25. Let n be a(15). Let s be (5\/n - 1) + (-10)\/(-4). Solve 3 = k + s*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*c + 150 = -2*c, 3*p + 26*c - 250 = 21*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 49556 and 0.06491.\nAnswer: 49556.06491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 332?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*k + 587*k - 2*p = -36, -14*k - p + 12 = -14*k + p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186381 and 236?\nAnswer: 745524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((72\/(-14))\/(-3))\/((-1672)\/(-56) - 30).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeeeeeeeeeeoe. Give prob of sequence eo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 9:06 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 512*y + 5 = 517*y, -15 = 6*f - 3*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3321*b**2 - 3594*b. Let r(f) = 664*f**2 - 719*f. Let m(c) = 24*r(c) - 5*y(c). What is the second derivative of m(t) wrt t?\nAnswer: -1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 + 55 + (-4 - -3).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (0 - (0 - 0)). Let v(g) = g**2 - 11*g + 12. Let n be v(10). Sort -2, n, k.\nAnswer: -2, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24935 is divided by 780?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ieen when four letters picked without replacement from {d: 1, e: 6, i: 2, n: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1939 + 8?\nAnswer: 1946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 13*l**4\/2 - 32*l - 17. What is the first derivative of r(i) wrt i?\nAnswer: 78*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2763 and 2760 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:19 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + -5 + 1 + (2 - 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 382392 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -676 (base 10) to base 14.\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -0*s. Let u = -203\/4 + 51. What is the third smallest value in -4\/9, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5051895.\nAnswer: 3, 5, 336793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-1))\/((-30)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 7610.\nAnswer: 2\/3805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let s(m) = 62283*m**2. Determine p(s(i)).\nAnswer: 62283*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/69)\/(v**(-13\/4)*v*v) assuming v is positive.\nAnswer: v**(341\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 282.4 + -258. Let o = j + -3.4. Let i = o + -22. Which is the biggest value? (a) i (b) -2\/15 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -780*r**3 + 1 - 5*r**4 + 2*r + 783*r**3 + 4*r**4 - r**2 to u*r**4 + c*r + g*r**2 + l + z*r**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 7 = -o, 2*d = 2*o - d. Let b = 8 + -3. Suppose -b*r + 97 = -o. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3634 - 3634.003391. What is w rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 11185?\nAnswer: 78295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-318)\/(-848) - 72\/(-192)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 4*j + 4. Let x be 2\/2*9\/9. Suppose 1 = -d - x, l + 2*d = -8. Let h(s) = s - 3 + s**2 + 10 - 8*s. Give l*h(z) + 7*b(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -788*n + 8668. Let x be q(11). Which is greater: x or -35\/213?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**4\/12 + 2*u**3\/3 + 2*u**2 - 3*u. List the prime factors of w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3135 = 3*k - 3*d, -8 = -3*d + 7. Let c = k + 2401. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 5 + 1)*(16 + 16 - 6 + (-1 + 0 + 2)*(-4 + 5 + 0))*((-1 + 4 - 5)*(0 - 3 + 2) - 2 + 4 - 1 + 3 + 3 - 7)*(2*v - 10 + 10) as o*v + q and give o.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*v - 6*v + 249022. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -309, -308, -305, -300, -293?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2375288795 - -2.\nAnswer: 2375288797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/529*-23 + -2 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819351 is divided by 68279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -13. Let v be -3 + 1 + -5 + 3. Let f(y) = -2*y + 2. What is the lowest common multiple of f(v) and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 6*n - 16. Suppose -21*w = -s - 26*w + 310, 4*s + 4*w = 1208. Let v = s - 292. What is l(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-8 - (-11 + 15))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21*(-38)\/(-1197) - (-1)\/(-3))\/((-3)\/(-117)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3) + (-23)\/(-69).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3990*b**2 + 3989*b**2 + 1.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6087717 plus 16262.384?\nAnswer: 6103979.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 + 0.05. Let x = -0.08 - v. Which is the closest to -4? (a) 5 (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + q**2 - q**2 + 0*q**2. Let y(t) = 2*t. Give j(y(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4104796.\nAnswer: 2, 1026199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.27 and -0.32.\nAnswer: 0.0864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 611701217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 9, h: 5}. What is prob of picking 1 c and 1 r?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from kckkkckkkkkkkkkkkkck.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 10:50 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a05 - -3?\nAnswer: 5a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(52)\/sqrt(4) + 5)**2 - 4*(0 + sqrt(208)) - (1 + sqrt(1872)*-1)*-3*-1.\nAnswer: 139 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzz when three letters picked without replacement from zzznnzzzznznzzzzzzzz.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 30*j**2 + 2171*j + 466. Calculate v(64).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 466 = -2*u + 946, -2*p + 759 = 3*u. Solve -u*v + 241*v - 24 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**2 + 2660*u - 353780 = 0.\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.15 + 0.15. Let c = -4860.696 + 4853.695966. Let p = l - c. What is p rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/297 and -47\/337779.\nAnswer: 11146707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkkq when four letters picked without replacement from qkqddvqqqdqkkkkdqdk?\nAnswer: 175\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + (0 - -5))\/(3\/6). Let q be 2\/6 + 33\/9. Calculate the greatest common factor of g and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*f = 146, 2 = 4*f + 14. What is the units digit of -2*q\/2*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*l + 56. Suppose k - l = -4*k. Suppose 3*a - 6 - 18 = 0. Calculate the remainder when a is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 1. Give s(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j - 11. Suppose 4*n = 2*s + 80, 5*s + 58 = 4*n - 10. Suppose -4*z + 42 = -h + 6*h, -3*h - 4*z = -n. Is m(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321795.3 millilitres in litres?\nAnswer: 321.7953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*j + 3*z, 8499 - 8487 = 2*j + 6*j - z + 5*z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(((b\/(((b*(b\/(b**(-2\/111)*b))\/b)\/b)\/b)*b)\/b)\/b)))\/b**(6\/11) assuming b is positive.\nAnswer: b**(1754\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(6*(-7)\/336)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77502 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*-3*(-1)\/6. Let d(b) = -206 + 432 - 3*b - 202. What is the tens digit of d(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026795 rounded to 4 decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - 129*k + 0 + 8*k**2 - 3 + 127*k as o + f*k**2 + a*k and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 6*m**2 + 28190*m - 169144. Calculate j(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(-2)*c)*c*c\/c**1 assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17247819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2, -4\/5, -0.7694?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 14*r = -12. Find the common denominator of 10\/(-36)*115\/(-25) - r and -127\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h - 5. Suppose 0*s + 2*s = 14. Let t be i(s). Let p be (-4)\/12 - t\/(-6). Solve 4*o - f + 23 = 0, -5*o - p = -3*o + f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 + 0.1. Let i be -3 + 2 + (-5)\/(-4). Suppose 2*j + n = -0*j - 8, 6 = -5*j + n. Which is the third smallest value? (a) j (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r + 34. Let b be y(9). Solve b*v = 5*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 + 2 = 0. Let y be (1\/b)\/((-3)\/(-12)). Factor -2\/3*n**2 + 0*n + y.\nAnswer: -2*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-328)\/(-104) - (-4)\/(-26). Suppose -3*t - 3*c = -210, -2*c = -3*t + i*c + 194. What is the highest common factor of 170 and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -5*12) + 3. Suppose -5*s - 3*z - c = -z, z + 25 = -2*s. Let m be (8\/(-2))\/(2\/s). Solve -3*d - d = m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106811747 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5475.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = 3*o, -2*w + 3*o + 2*o + 4 = 0. What is the smallest common multiple of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -1\/2 (c) -2\/3 (d) 164685\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 7 + 8, 106 = 5*q - 2*y. Solve 8*c = 3*c - q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -34. Find the common denominator of -41\/9 and (d + -4)*(1 + 10\/(-14)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + a + 35, -4*a - 3 = -7. Let b be -3*4\/k*-6. What is the closest to -0.1 in -0.2, b, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z - 5. Let r be l(-5). Let d = 43 - r. What is the remainder when d is divided by -13*(-1)\/(-2)*-2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -255, 630.\nAnswer: -255, -12, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (61 - 71) + 1\/((-1)\/(-4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -51. Let u = 52 + d. Let k = u - 18. Solve -o - 4*v + 10 = 2*o, 0 = -2*o - 2*v + k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + -22 + 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304\/9 + 2\/9*m**3 + 56\/9*m**2 + 358\/9*m = 0. What is m?\nAnswer: -19, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 - -3 - 2\/(-2) - -7. Let p be k\/18 - 400\/(-144). Solve 0 = -g - 4*i + p, -g + 2*i - 5*i = -1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 4*q - 3*q)*(0*q**4 - 2*q**4 + q**4) + (114*q**2 + 32123*q**4 + 23*q**2 - 2*q**3 - 32127*q**4)*(-3*q - q + q).\nAnswer: 10*q**5 + 6*q**4 - 411*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*k - 29*k = -1974 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 7*i = 5*i - 35, 25 = -3*g - 2*i. Sort 0, 8, g, 4 in decreasing order.\nAnswer: 8, 4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23482161898 - 23482161800.50000333. Let j = n - 97.5. What is j rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5 - 21884*h**4 + 8785844*h**3 + 98523964*h**2 + 315371840*h + 225655600 = 0.\nAnswer: -5846, -5, -1, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 16. Suppose 0 = -k - 4*v, -k - 2*k + 4*v = 0. Suppose -5*l + 3 + 37 = k. Suppose 4*p - 10 = -5*q - p, 5*q + l = 4*p. What is t(q)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -93, 5, 885, 0.\nAnswer: -93, 0, 5, 21, 885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -359 - -7543\/21. Let y(h) be the first derivative of a*h**6 + 2 + 2\/7*h - 18\/35*h**5 + 16\/21*h**3 + 1\/7*h**4 - 6\/7*h**2. Solve y(l) = 0 for l.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 2)*(-2*n**4 - 2*n**4 + 3*n**4) + 0 + 3*n**4 - 2*n**4 - 2 as y*n**3 + f*n**4 + o*n**2 + k + a*n and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12974 from -12.09.\nAnswer: -12986.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 34*q - 2*q**2 + 1 + q**2 - 2 - 35*q - 8*q**3. Determine r(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 172. What are the prime factors of (-18)\/(-27) + y\/6?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11828 + -212827\/18. What is the common denominator of -91\/120 and i?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-6*2*sqrt(76) - sqrt(76)) + sqrt(76))\/(1*sqrt(2)*1))\/(5*((sqrt(162) - (4*sqrt(162) + sqrt(162) + sqrt(162) - sqrt(162))) + sqrt(162))*-2))**2.\nAnswer: 76\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*m + 17 + 18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27279565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 389555200 rounded to the nearest one million?\nAnswer: 390000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4434496 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-5) - 2673\/(-55) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -17. Suppose 2*n + 15 = -5*j, -j + 1 = 2*n + 4. Let p = -40 - -66. Solve -x + a*m + 35 = -6*x, -3*x - 4*m - p = n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748.54214 rounded to the nearest 10?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 18623 divided by -2\nAnswer: -18623\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 1\/6*p**4 - 3\/80*p**5 + 0*p**2 + 37\/6*p**3 + 1\/720*p**6 + 35*p + 0. Let r(w) be the second derivative of g(w). Factor r(b).\nAnswer: (b - 8)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u**2 + u**2 - u**2)*(3*u - 3*u + u) - 9*u**3 + 76*u**3 - 4*u**3)*(0 - 3 + 4) + (4*u + 2*u**2 - 4*u)*(-u + 2*u + u).\nAnswer: 65*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 45 = -75. Let n be o\/(-42) + (-2)\/(-7). Suppose z = n + 3. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 4*a - 1. Let g(u) = 11*u**2 + 12*u + 9*u + 5 - 3*u**2 - 4*u. Let y(q) = 2*g(q) + 9*r(q). Let f = -19 - -17. What is y(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 29*o**5\/20 - o**4\/6 - 2*o**3 - 52*o**2. List the prime factors of x(-2).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 95*u**3 + 0*u + 88*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + k + 5. Let l be t(4). Let g(s) be the first derivative of 3*s**2\/2 + 24*s - 405. Let h be g(l). Solve h = -j + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*s + 6*s - 225, -225 = -5*k + 2*s. Find the third derivative of -2*z**6 - 21*z**5 - 24*z**5 + k*z**5 + 12*z**2 wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1872) - (1 + (sqrt(1872) + -1)**2 - sqrt(1872))).\nAnswer: -1870 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/4)\/(18\/(2160\/1275)*48\/60).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**2 + 7230*g - 1461645 = 0.\nAnswer: 243, 1203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3062933 is divided by 278403.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -20*x + 22*x - 8, 3*x - p = -4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -14647*v - 2 - 26 + 9 + 14663*v - v**2 - 9. Determine t(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:00 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -9*t**3\/5 + 30*t**2 + 57*t\/5 - 102\/5 = 0.\nAnswer: -1, 2\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0277 and -18564.\nAnswer: 514.2228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5 + 5 = 0, 5*v = -3*z + 418. Differentiate 78 + 23*y**2 - 139*y + z*y - 22 with respect to y.\nAnswer: 46*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.3 times -0.031292?\nAnswer: 0.7916876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1246)\/(-15575) - (-104)\/(-50)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*n - 21, 0 = -n + c + 9. Let i(z) = 33*z - 197. Let y be i(n). Solve -4 + y = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l*l\/(l\/(l*l**2))*l))*l*l\/l**(2\/11)*(l\/l**1)**45 assuming l is positive.\nAnswer: l**(75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + -1*(-4 + sqrt(68))*3)**2.\nAnswer: -108*sqrt(17) + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 4*g**2 - 4*g - 4. Let n be v(-3). Let c(j) = 2 - 3 - 1 + 5*j**2 + 1 - 2*j. What is c(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 * 22.7.\nAnswer: 590.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**5\/90 + s**4\/18 - s**3\/9 + 7*s**2. Factor p(g).\nAnswer: -2*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + -7 + (-5 - (-2 + -8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((1\/3)\/((-22)\/(-165))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1511482 = -116*c + 1594449 + 832733. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9349*f**2 + 9349*f**2 + 13396*f**3 - 13399*f**3 + 1.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*a + 15. Calculate the common denominator of ((-1674)\/(-3888))\/((-4)\/(48\/3)*1) and (22\/(-54))\/(a\/(-9)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(16\/(-4) + 3). Suppose -4*o + 4*g = -w*o - 16, -o + 4*g + 1 = 0. Suppose -3*s = -o*j - 49, 0 = s - 2*j + 5 - 21. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41572 plus -5?\nAnswer: 41567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i**2 - 18*i + 88. Let j be d(7). Let l = -329 - j. Solve 2*x = z + 1, l*z - 26 = 7*z + 3*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**5\/75 - 28*r**4\/15 - 106*r**3\/5 + 32*r**2 - 44*r + 2. Factor v(s).\nAnswer: -4*(s + 3)*(s + 53)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.830113 * 5\nAnswer: 4.150565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6728153075 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3567944 (base 12) in base 11?\nAnswer: -5922635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - 2*u)*(3 + 0 - 2)*(-1 + 9 - 3).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 10. Suppose 4*q - 8 = -p*q. Solve -2*t - 10 = q*c, 2*t + c - 10 = 3*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(3 + 30\/(-9))*(-124)\/(-31)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.12 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239620 by -5.\nAnswer: -47924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**24*s*s)\/(s**(-3\/17)\/s)*s**(-7\/5)\/(s\/(s*s\/((s**(-1)*s)\/s))))**(10\/9) assuming s is positive.\nAnswer: s**(5062\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11100010 (base 2) to base 12\nAnswer: -16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.740481.\nAnswer: 0.2961924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2931 plus -5.113?\nAnswer: -5.4061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + 5 - 2 - o**2 - 2*o**2 as j*o + t*o**2 + s and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n**2 - 10*n + 6. Let i be g(6). Suppose -17*f - 52 = -477. Let a be i\/15*f\/10. What is the highest common divisor of a and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b\/b**(-21\/4)*b)\/b*b*((b*b\/(b*b\/(b**14\/b))*b)\/b)\/b*b)**(6\/7) assuming b is positive.\nAnswer: b**(267\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 90 = -7*i. Let f be (1\/(-3))\/(i\/72). Let t be -2 + 1\/(-1)*-1. Is t equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 9.444\nAnswer: 9.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 - 4*x - 2. Let v(n) = 13*n**2 + 17*n + 8. Let q(a) = 9*c(a) + 2*v(a). Let j(b) = -12*b**2 - 27*b - 27. Give 2*j(d) - 27*q(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43*n*q - 65*n - 3 wrt q.\nAnswer: -43*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t**2. Let g(a) = 2*a + 177. Calculate g(o(l)).\nAnswer: -16*l**2 + 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**3 - 25880*g**2 - 4094145*g - 164484270 = 0.\nAnswer: -5014, -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (14 + -2) - (10 - -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-8\/9)*n*n**(-5\/6) assuming n is positive.\nAnswer: n**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) - (-846)\/24. Let h = -65 + r. Let t = 15 - h. Calculate the greatest common factor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51\/10855 - -135481\/15435810. What is the common denominator of j and -74\/3555?\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 - 6*y**2 - 9*y - 10. Let l be 12*(-3)\/(9\/2). Let o(f) = 3*f**3 - 9*f**2 - 14*f - 15. Let s(x) = l*h(x) + 5*o(x). Calculate s(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 + 26 - 7*t)*(42*t**3 - 26*t**3 - 29*t**3) to u*t**3 + d*t**2 + q*t**4 + j*t + k and give q.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022\/18872 - (-79)\/308?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45016740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 5\/(-2))\/(765\/(-1530)). Let v(j) = -j**2 + 8*j - 1. Let b be v(4). Let m be (3\/9)\/(1\/b). Solve 3*s + m*x - 32 = -7, 2*x - 29 = -d*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1463 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:40 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277 - 257 + 534 + 1320*n**2.\nAnswer: 1320*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t = 28*t - 60. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microsecond in nanoseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b - 11. Calculate q(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)*(n*((n**(2\/7)\/n)\/n*n)\/n)\/n*n*n*n*n**5*n*n*n**6*n assuming n is positive.\nAnswer: n**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1754264 and 176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/8 + (-15 - -11)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3720830?\nAnswer: 2, 5, 271, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-60) + 7*12\/(-112). Put a, 3\/2, 5, 36, -8 in decreasing order.\nAnswer: 36, 5, 3\/2, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, y: 3}. Give prob of sequence oy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5885*x = 5867*x - 198 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139 - 25. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198488406 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9609684 or -9609654?\nAnswer: -9609654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 82191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*g + 80 = 0. Suppose k - g = -5*u + 185, -k + 2*u = -221. What are the prime factors of k?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110000011000 + 101?\nAnswer: -1001110000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1 - (5 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 128871\/(-6)) + 1\/(-2). Let s(b) = 5*b - 21474 + c. Let y(n) = 12*n**2. What is s(y(h))?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 10) in base 14?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 596 and 357053.\nAnswer: 212803588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z - 12. Let v be 2 - (-1 + 2) - z. Suppose -v*q = -q + 4*p - 6, -q + 2 = p. Solve -q*g - 4*r - 6 = 8, 3*g + 12 = -3*r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-4 - (-1 + 3) - (85 + -91))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**5*((i*i\/(i**(2\/3)*i*i))\/i)\/i)**34\/((i**(2\/9)\/i)**35*(i*i*i**(-2\/5)*i)\/i*i*i\/(i*i**(-1\/10))) assuming i is positive.\nAnswer: i**(12407\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + t - 1. Let d be ((-21)\/(-14))\/(9\/84). Let x(g) = 5*g**2 + 23*g - 39. Let f(l) = d*k(l) - 2*x(l). Solve f(u) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*y - 50*y + 104*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(99\/(-88))*6\/(-8). Suppose 83 = 3*h + s, h - 19 = 2*s + x*s. Sort h, 0.5, -3, 2\/7.\nAnswer: -3, 2\/7, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16200146839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6686 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232202?\nAnswer: 2, 116101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(3\/7))\/j*(((j\/j**(-1\/5))\/j*j*j)\/j)\/j)\/(j**(-3)\/j**(2\/7)) assuming j is positive.\nAnswer: j**(107\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34278.4008 seconds to weeks.\nAnswer: 0.05667725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -359475 divided by 8.\nAnswer: -359475\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9941176.\nAnswer: 2, 7, 167, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + -1 + (16 + -27 + -21 - -42)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4 = n. Let c be (n\/3)\/(30\/20). Is c smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*a**3*d**2 + 19*a**3*d - 6*a**3 - 2*a**2*d**2 - 19631*a*d**2 wrt a.\nAnswer: -132*d**2 + 114*d - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1494 and 2158.\nAnswer: 19422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqaq when four letters picked without replacement from xazbzzxiqxzzq.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 238*t - 1258. Is 51 a factor of o(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 47. What is the smallest common multiple of 9 and o(-26)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 25 + 10 + 48\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 13. Calculate the highest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*x + 629*x = 547*x + 14137 for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b + 2. Let h be c(6). Let x = -29 - h. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 1) + 1*2. Suppose -144 = -5*j + 156. Suppose -27 = -a + 4*g, 0 = -5*a - 4*g - g + j. Solve a = -m*i + 3*f - 2, -9 = i + 4*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-9)*(-171)\/(-38). Suppose 5*t = 3*a + 8700, -2623 = -t + y*a - 883. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m + 4213 + 26891 = 0. Calculate the greatest common divisor of 1647 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53963 is divided by 26941.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -11*z - 20. Determine l(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -580 (base 13) to base 4.\nAnswer: -32311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2*h - 3 - 17 = 0, 2*h = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -427, -1115, -2447, -4639, -7907, -12467, -18535?\nAnswer: -26327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000100111000001001 (base 2) in base 16?\nAnswer: 204e09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 12*w**2 - 783*w - 2364. Determine x(-3).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.5 + 14. Let j = a + -10. Sort 0.6, -5, j.\nAnswer: -5, j, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -25 and 10.2622061844.\nAnswer: -14.7377938156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1021 - -0.112. What is b rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20035, -40078, -60115, -80140, -100147, -120130?\n\"Answer: u**3 - 3*u**2 - 20041*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, z: 2, b: 4, x: 2, n: 2}. What is prob of sequence hxh?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/9))\/(i**(-7)*i) assuming i is positive.\nAnswer: i**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62 - (-212 - -92)) + -9?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 279972.96669 and 58.\nAnswer: 280030.96669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 23. Find the second derivative of -5*p**3 + 12*p + 49 - 9*p + 13*p**2 + 4*p**3 - g*p wrt p.\nAnswer: -6*p + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55197 divided by -1\nAnswer: -55197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613173255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34357\/181830 - -1\/1914. Find the common denominator of x and -55\/1748.\nAnswer: 8740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -639452381 to the nearest 1000000.\nAnswer: -639000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4\/7 + 2320*n**3\/7 - 105537*n**2 = 0.\nAnswer: 0, 381, 1939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -263858 and -263857 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -322*z**3 - 3*z**2 - 3*z - 2. Let i be m(-1). Suppose -7*s + 3*s + i = 0. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-1\/6))\/(((y**(-2\/11)\/y)\/y)\/y*y)*((y\/(y\/(y\/y**(1\/3))))\/y)**(-2\/7) assuming y is positive.\nAnswer: y**(2053\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)\/k**7)\/(k**(1\/3)\/(k**(1\/11)*k)) assuming k is positive.\nAnswer: k**(-503\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -j + 32. Suppose 715 - 697 = c. Solve j*g + 2*o = -0*o - c, 15 = -5*g - o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4 - 16 = 2*p, 5*l + 24 = -p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0 + 6. Suppose -4*b - 345 = -5*o + 41, -t*o + 230 = -4*b. Let j = -28 + o. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -20 - 22 + 74*r + 42 - 30*r - 42*r. Let z(f) be the third derivative of f**2 + 1\/8*f**4 + 0*f**3 + 0 + 0*f. What is t(z(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28273*p**6 - 5*p**2 + 2*p + 112?\nAnswer: 3392760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**3 + 3*r**2\/2 - 13*r + 2. Let h(t) = -19 + 9 + 10 + 8 + 12*t + 6*t. What is 5*h(x) - 14*n(x)?\nAnswer: 6*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 191, 3, -3\/4, -3, 0.15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x**3 + 47*x**3 - 22*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*t + 375*t + 29 = 0. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2838 (c) -0.11 (d) -5 (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 19*g**2. Let v be ((-38)\/(-4))\/((-9)\/(-162)). Let y(k) = -171*k - k**2 + v*k. Give o(y(q)).\nAnswer: 19*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -73.1 and 4063.1673?\nAnswer: 4136.2673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 239116923 to the power of 1\/3, to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83800*f**3 - 3*f**2 - 5923.\nAnswer: 502800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 586*x**3 + 1172*x**3 - 589*x**3 - 3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -251843077*i**2 + 391470239 wrt i?\nAnswer: -503686154*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13706 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48135255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 5*r**2 - 4*r + 4. Let l be z(-5). Let g = l + -11. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15400534 to the nearest integer?\nAnswer: 3924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -4257257\nAnswer: 21286285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 w, and 1 l when three letters picked without replacement from uwlsl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9 = s. Let t = s - 4. What are the prime factors of (t + 0 - -3) + 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - f = -73, 4*w = 2*f + 133 - 19. Suppose 0*o + o = 3*j - w, -j + 10 = -o. Let z be (j + -4)*687\/12. Round z to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from jsxjxslzzllztj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Suppose -3*s - 3 = q, 2*s + 27 = -2*q + 25. Let i be (-152)\/38 + s*-2*2. Solve l + i + 5 = z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 108405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 851985 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2, -6, 51\/4 in ascending order.\nAnswer: -6, -2, 0.3, 51\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 0.1 (c) -1989 (d) 1\/5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1476 + 1419. Let m be ((-32)\/(-40))\/(4 - v\/(-15)). What is t in 15\/4*t**3 + 5\/4*t**m - 5\/4*t**2 + 0 - 15\/4*t = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -364*i**4*y**3 + 8*i**4*y - 11*i**2*y - 2*i*y**3 + 3*i wrt i.\nAnswer: -8736*i*y**3 + 192*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/8)\/(8\/(-16)))\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let b(j) = -9*j. Let d(v) = -10*v. Let a(y) = -6*b(y) + 5*d(y). Calculate a(m(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -87*s - 13. Let j(c) = -130*c - 18. Determine -7*a(h) + 5*j(h).\nAnswer: -41*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from {x: 1, n: 7, y: 11}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 47666025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oono when four letters picked without replacement from nnnozzznzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 6.1. Which is the closest to x? (a) 1\/3 (b) 2\/23 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7017 - -26349. What is the highest common factor of j and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85197 and 526512?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bce when three letters picked without replacement from {e: 2, b: 2, c: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*p + 18 = 0, -3*w - 2*p - 7 = -2*w. Suppose 53 = 4*j + 13. Let q be (j - (0 + 4)) + -1. Sort 4, w, q.\nAnswer: w, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12740 times 0.1\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2072 and 20749960?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*l**3 + 12*l**3 + 13*l**3 + 10*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 - 98*b**2\/9 - 368*b\/9 - 40.\nAnswer: -2*(b + 2)**2*(b + 45)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7023?\nAnswer: 3, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/(-3 - -12) + 1699\/(-42). Let f = -259\/6 - g. Which is the nearest to -0.1? (a) 9 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.4 + 2. Let r = m + -22. Suppose 2*h - 11 = 5*h + 4*t, t - 10 = -5*h. Which is the third biggest value? (a) -2\/3 (b) h (c) r (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 4 - 2) + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/((-6)\/2))\/(-11))\/(210\/(-210)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.82 - 0.52. Which is the nearest to -2? (a) 2\/3 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -55. Suppose a = -4*a + 10. Suppose -4*q + a*v = 4*v - 18, 3*q - 3*v - 9 = 0. Solve -u = -q*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 864 = 2*d. Suppose -94*y + d*y - 262 = 0. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3199*g + 15997. Let w be i(-5). Suppose -2*b = -4 - 2. Sort 25, 1, b, w in descending order.\nAnswer: 25, b, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96*a**3*i + 67990*a**3 - 1707*i + 2 wrt i?\nAnswer: -96*a**3 - 1707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - c - 3 = k, -64*c + 61*c = -5*k - 17 - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(684)*2 - sqrt(684))**2 + sqrt(684) + -1 + 2.\nAnswer: 6*sqrt(19) + 690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39577670 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52708331 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -325\/4 + 81. Put 2\/9, -3, -3\/5, s in decreasing order.\nAnswer: 2\/9, s, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/30 - 8\/(-60). Calculate the greatest common divisor of o and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9599 - 9598.5. Which is the third biggest value? (a) 3\/4 (b) -24 (c) h (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, 32, 67, 116, 179, 256?\n\"Answer: 7*s**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -19. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k - 7. Let o be m(2). Let v = 6 - 8. Suppose -2*b = a, -9 = 3*a + 3*b - 3. Put o, a, v in descending order.\nAnswer: o, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6928640 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -0*w - 2*w + 4*d, 5*w - 3*d = 0. Let x be ((-2)\/4)\/(w\/72). Does 6 divide x + 0 + -2 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from {t: 5, r: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 1\/3 (c) -7 (d) 108 (e) -3 (f) 152\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4. Let x(n) = 1. Let w(c) = l(c) + 3*x(c). Let b(q) = -q - 1. Give 2*b(d) - w(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -77*q - 10. Is n(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*n - 75*n + 9 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 66*n + 69*n = -5, 0 = 4*k - 2*n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -269, -405, -557, -731, -933, -1169, -1445?\nAnswer: -1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -27049*x**2 + 83*x + 2290. Let d be b(-30). What is d rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2. Let d be p(1). Let s(r) be the third derivative of 5*r**4\/24 + r**3\/6 + 1468*r**2. Determine s(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**3 + 56*i**2 = 0?\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260334833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)*i**2*i)**(-18\/13) assuming i is positive.\nAnswer: i**(-66\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 4)*(120\/16)\/15\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 d when four letters picked without replacement from dzzzdz?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -3*s**5 - 5*s**4\/2 + 5*s**3 + 5*s**2 + 733. Factor h(w).\nAnswer: -5*w*(w - 1)*(w + 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3144806935.\nAnswer: 5, 31, 43, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12108 - 295371852.\nAnswer: -295383960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 94404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngm when three letters picked without replacement from {g: 7, m: 3, n: 1, w: 3}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10117619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6\/15 - (-81)\/135.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10901\/7786 + -43\/34. Let q = -18\/39177949 - 544299113553\/287096010272. Let o = u - q. Calculate the common denominator of o and 95\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*p - 8*p - 25*p - 2*p + 2*p - 6*p + 3*p + (4 - 2 + 0)*(-5*p - p + 5*p).\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -213*y - 17048. What is j(-80)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 5 + (2 - 1). Suppose 0 = 4*m - p - 3. Suppose -379 = -3*s - 3*q + 386, m*q + 996 = 4*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 + 114. Solve 0*j = -2*j + f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-696)\/7)\/((-164)\/1722). Which is smaller: 1047 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzff when four letters picked without replacement from uuuuffzffzuz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.54039 to one dp.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (2 + -4)) + -1. Let t = 3 + v. Solve 4*b + 4*u - 3 = t, -7 = 2*b + 5*u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -64, -229, -532, -1009, -1696?\nAnswer: -2629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 726\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2. Let b(g) = -2*g - 8*g**2 + 14 + 0*g + 16*g. Let q(r) = -3*r**2 + 5*r + 5. Let h(j) = 5*b(j) - 14*q(j). Calculate h(l(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4989.5769*0.4\nAnswer: -1995.83076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -167.1971 times -5\nAnswer: 835.9855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 5*v**2 - 6*v - 6. Let o be u(-5). Suppose -2*l + 0*l = -16. Calculate the greatest common divisor of l and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40043124 (base 5) to base 15\nAnswer: 636c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 33. Find the first derivative of -11*a**3 + c*a + 19*a + 7 - 28*a wrt a.\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1314 divided by 6.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 305637 divided by 3\nAnswer: 101879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3055897418?\nAnswer: 2, 7, 47, 4644221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 5. Suppose -z*q = -5*q + 4. Let k(i) be the third derivative of -13*i**6\/120 - 3*i**4\/8 + i**2. Let y(n) = 3*n**3 + 2*n. Give q*k(b) + 9*y(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r**2 - r + 1. Let j(l) = -l**3 - 4*l**2 + 2*l - 2. Let c(t) = t**2 + 3*t + 1. Let x = 26 + -27. Let n be c(x). Determine n*j(v) - 2*q(v).\nAnswer: -v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 1739?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2 + 0*v - 1 - 4*v - 5*v. What are the prime factors of b(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8042539*i + 16085088*i - 8042542*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4183, 4177, 4171, 4165, 4159?\n\"Answer: -6*m + 4189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from aazazzaaazzaazazaaa.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 13*y - 15. Let s be u(-14). Is s not equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1073 - -1072.5. Let i = 13.6 - -0.4. Put i, 0.1, 1\/6, v in ascending order.\nAnswer: v, 0.1, 1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 4:45 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21922, 43842, 65762, 87682, 109602?\nAnswer: 131522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-75) - 18\/(-10). Calculate the highest common divisor of 3 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 6*l**2 + 5*l + 7. Let b be s(3). Let m be (10\/(-16))\/b - 30\/(-16). Suppose 27*n + m = 29*n. Is 3\/23 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 16 (b) -5 (c) 2\/7 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233066 is divided by 815.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 + 26 - 30)*(-15)\/((-15)\/(-4))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**7\/168 - f**6\/120 + 7*f. Factor m(l).\nAnswer: l**4*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*y + 159*y - 373*y + 52*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1604201 less than 24262?\nAnswer: 24263.1604201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*n + 46*n + 30 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 9 - d + d.\nAnswer: 2*d - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 205*k**2 - 202*k**2 + 5*k - 4*k + k. Let z(m) = 3*m**2 + 3*m. Let w(d) = -3*d. Let p be w(1). Calculate p*f(h) + 2*z(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -1\/5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - -38. Suppose 0 = 4*f - 4*c - 24 - 40, -2*c = -5*f + u. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 51*q**2 - 5*q + 9. Is w(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43764.\nAnswer: 2, 3, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9 = -2*s, -15 = s - 2*s + 5*j. Let h be 55\/20 + 1\/4. Suppose 5*v + 4*y - 232 = s, -h*v + 88 + 58 = -y. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3665 - -3677. Let v(j) = j**3 - 13*j**2 + 12*j + 9. What is v(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4766.\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sasssassasa. Give prob of picking 2 s.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -167 + 177. Let o be ((-12)\/b)\/(-6 - (-1185)\/200). Solve 0 = -3*t - t + o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8217755 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0061921531 to five dps.\nAnswer: 0.00619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -5*n**2 - 7*n + 0 - 1\/20*n**5 + 3\/8*n**4 + 2*n**3. Let m(o) be the first derivative of b(o). Factor m(v).\nAnswer: -3*(v - 4)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 6:20 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3221 + 1.3221. What is the third smallest value in 5, s, 4013?\nAnswer: 4013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1157 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 2572.\nAnswer: 41152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 2*l + 2 + 11.\nAnswer: -2*l + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 64 = -10*y. Let o = y - -28. Let j = -52 - -56. Solve -l - 5*d - j = -0*l, -3*l - 4*d - o = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 4:20 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 8*f + 3. Let x be g(8). Suppose 4*i + 27 + 61 = 4*o, -2*o + x*i + 47 = 0. What is the greatest common factor of 19 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 - 68. Calculate the least common multiple of n and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 + 121. What is the lowest common multiple of 10 and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 25*u - 53. Let o be f(14). Let z(g) = -150*g**2 - 148*g**2 + o*g**2. Let y(v) be the third derivative of -2*v**5\/15 - 6*v**2. Calculate y(z(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*y)*(-5*y + y + y) + 0*y + 0*y - 2*y**2 + (36*y + 0*y + 18*y)*(3*y - 7*y - 4*y).\nAnswer: -440*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*(24\/(-11) - -2 - 9785577\/3212).\nAnswer: 7, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**2*v**2 + 245*f**2*v - 5967*f**2 + 293*f*v**2 - 181707*f*v wrt f.\nAnswer: -8*v**2 + 490*v - 11934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20412 and 15057?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 126*u + 765. Give n(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + sqrt(32) + (sqrt(352) + 2*sqrt(352))\/sqrt(11).\nAnswer: -7 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -67, 5 in decreasing order.\nAnswer: 58, 5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 + f + 1. Let g be z(-1). Suppose 5*r - 30 + g = 0. Let m(n) = n**3 - 6*n**2 + 5*n + 4. Let h be m(r). Solve w - 4*o = -w, -w + h*o = 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 2*h - h + (2*h + 3*h - 3*h)*(-1 - 3 + 2) + h + 3*h - 5*h + 24 - 5*h - 48 + 25 to the form z + u*h and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.769 or -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 9*f + 0*f**2 + 0 + 0*f**4 + 0*f**3 - 2\/5*f**5. Calculate i(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (1 + -18) - 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -59, -6655, 10 in decreasing order.\nAnswer: 10, -9, -59, -6655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-0.695.\nAnswer: -9.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.32 less than 1?\nAnswer: -78.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 + 92. Let u be -2*(-21)\/120 - (-6)\/(-8). Which is the third biggest value? (a) -25 (b) u (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -2. Suppose -n*d + 156 = 60. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 15*l - 143. What is s(-21)?\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123 - 123.0000954. Round a to six dps.\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 179400 and 325.\nAnswer: 179400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -223*m**4\/24 + 325*m**3\/6 - m**2\/2 - 71*m - 198. Let d(b) be the second derivative of o(b). Differentiate d(n) wrt n.\nAnswer: -223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-2)\/(-35))\/((-3)\/(-7))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 36318.48nm?\nAnswer: 36.31848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (738\/9)\/((-1)\/4). Let q = 335 + m. Let i(h) = 2*h - 12. Calculate i(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2699441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1055691 - -327991. Round z to the nearest ten thousand.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 74. Let o(v) be the first derivative of 1\/3*v**6 + 0*v**g + 0*v + 3 - 1\/2*v**4 + 0*v**5 + 0*v**2. Determine w, given that o(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 41*k + k**3 - 41*k - 1. Let r(t) = -10*t**3 + 1. Let b(v) = r(v) + 6*w(v). What is the derivative of b(y) wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*r = -212795, -35*h + 30*h + 212801 = 4*r. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 9 (b) -3 (c) 0 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**4\/12 + 15*r - 10. Let m(d) = -2423*d**2 - d + 2421*d**2 + 22 + d. Give m(u(x)).\nAnswer: -2*x**4 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 48*c - 7600.\nAnswer: 4*(c - 50)*(c + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 44*j**3 - 3*j**2 + 38*j - 36. Give i(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/5))**30\/((b**(-5\/2)*b*b)\/(b\/b**2*b)) assuming b is positive.\nAnswer: b**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -305 + 308. Which is the third smallest value? (a) -0.4 (b) s (c) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 less than or equal to 774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/594 and 113\/54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-80))\/(12\/202). Let a = 21\/4 - m. Let h(p) = 12*p**2 - 27*p - 22. Let g be h(3). Put -1\/9, g, a in decreasing order.\nAnswer: g, a, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -44.\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-2) + 2)*-9. Let s be 12\/k*3\/2. Let h be (-3)\/(-1)*-2 - (-117)\/21. What is the nearest to -1 in -0.1, h, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**7\/2520 + 7*w**6\/720 - w**5\/24 - 2*w**4 + 11*w - 5. Let m(i) be the third derivative of q(i). Determine m(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*n + 34, 5*n - 13*w + 11*w = -49. Which is smaller: -12 or n?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -47*h + 90 + 125 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -274, -277, -280, -283?\n\"Answer: -3*s - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 367 = 352 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -0.2, 5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386852 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -69.078 (c) -3 (d) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -13*o**2 - 7*o - 7. Let l(z) = -7*z**2 - 4*z - 4. Let w(x) = 7*l(x) - 4*u(x). Let q(g) = -107*g**2. Calculate w(q(d)).\nAnswer: 34347*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 3. Let i(z) = -3*z + 2. Let x(l) = -3*i(l) - 6*j(l). Give x(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 345296888687 and 549.\nAnswer: 345296889236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1038 and 3\/2.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 276079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*j + 2*j, -5*j + 18 = -4*c. Suppose 4*a = j*m + 728, -3*a + 2*m + 553 = -3*m. Let o = -76 + a. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -6*j + 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**5 - 14*z**4 + 2*z**3 + 14*z**2 = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96492?\nAnswer: 2, 3, 11, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25102183.\nAnswer: 17, 47, 89, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let h = -1\/818 + -13077\/8998. Calculate the common denominator of h and d*(0 + (-23)\/8).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21, -22, -23, -24, -25?\n\"Answer: -s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**6\/240 + 5*s**4\/8 + 9*s**2. Let f(l) be the second derivative of g(l). Let n(h) = 2*h. Calculate f(n(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-138272)\/(-96) + (-22)\/(-6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (-21 - (4 - 15))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/20415 and -27\/40?\nAnswer: 163320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnhqxxhxqnxnnnnqnn. What is prob of picking 2 q, 1 x, and 1 h?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155.6 + -131. Let t = 0.4 + m. Let k = t + -24. What is the smallest value in -0.4, 0, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120204 = -3*x - 18*x. Let y be 12455\/x - 4\/(-54). Solve -3\/2 - y*a - 3\/4*a**2 = 0 for a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11150 + 590. What is t rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552489.\nAnswer: 3, 7, 26309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 450 + -472. Put -4\/3, -2\/15, -3, 5, b in ascending order.\nAnswer: b, -3, -4\/3, -2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36120 is divided by 1436?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4 + 3*q + 0 + 0 + 3*q**2 to the form d + s*q + v*q**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w*w**6)*w*w**(1\/10)*(w**(6\/11)\/w)**24 assuming w is positive.\nAnswer: w**(-1629\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 525*a + 12620. Let x be b(-24). Suppose 4*c - 10 = 14. Let r be c\/x*1\/30. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + n - 21 = -3*q, -5*q = -2*n - 33. Suppose 0*x + 10 = 2*x. What is the third derivative of g**5 - q*g**5 + 2*g**x - g**2 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2081142 to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k**2 + k - 1. Let r(b) = -3*b**3 - 2*b + 3. Let j(u) = -r(u) - 2*y(u). Let w = 155527 + -155526. What is j(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 12*n**2 + 22*n + 20. Suppose -31 - 9 = -4*d. Let k be q(d). Let y = 51 - 31. Calculate the greatest common divisor of k and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28730.99 + -28731. Let h = 7 - 10. Which is the nearest to h? (a) j (b) -0.3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/9 in 0.2, 1, 3, -72, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29962, -30314, -30910, -31750, -32834, -34162, -35734?\nAnswer: -37550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83538 (base 12) to base 15.\nAnswer: 35dab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1158, 4624, 10400, 18486, 28882, 41588?\n\"Answer: 1155*g**2 + g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 1791, -16, 5 in increasing order.\nAnswer: -16, 5, 37, 1791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1219 + -1214. Let s(g) = -g**2 - 6*g + 2. Let h be s(-5). Solve -d = 2*p - h*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 157225204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {h: 2, n: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) -3 (c) 5 (d) -2 (e) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30543301 is divided by 124?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) -6\/29 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1318855 divided by 2\nAnswer: 1318855\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1936)*2 + sqrt(1936))\/(3*6*sqrt(32)\/sqrt(4))*6*-6.\nAnswer: -110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127 - -133. Suppose -g*r = -r - i - 108, 2*i - 4 = 0. Solve -19 = -5*q + 2*m - m, -5*q + r = 2*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 279227598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 1 (c) 3.75 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/1621 - -37275\/6484. Which is the second biggest value? (a) y (b) 0 (c) -5\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z + 16. Let y be -2 + z\/(14\/4). Let k be 2\/y + 0 + 1. Sort -0.2, -0.3, k in increasing order.\nAnswer: -0.3, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - k + 5*k - 22, 20 = 5*k. Calculate the remainder when 360 is divided by (-18513)\/(-204) - -2*w\/24.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01056505 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 6*m**2 + m. What is x(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 28158600 to the nearest one hundred thousand.\nAnswer: 28200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 + 57. Let i = 135.9999889 - g. What is i rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - 11cd66?\nAnswer: -11cd55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmn when three letters picked without replacement from jnnnnmnenunuuunmmn.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123425820 divided by 7245.\nAnswer: -17036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207 + 220. Solve b - 3 = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 2. Let j be q(3). Let v be (-2)\/1*(-4 + j). Solve -v = 2*g - 2*r, 4*g = -0*g - 4*r - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-100))\/((-177)\/(-5015))?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/92010 and -129\/91243250.\nAnswer: 273729750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 137847 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 17 = 79. Let n = z - 24. Suppose -5*l = 5*h - 405, n = 2*l - 4*h - 185 + 17. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -10 + 2 + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2140 = 3*r - 5*c, -3*r - 7*c + 2203 = -3*c. What is the greatest common divisor of r and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -5. Let u be 0*(2\/4)\/g. Let r = 2 - u. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*r = 598, 3 + 3 = -3*r. Calculate the greatest common divisor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/608 and 79\/4235936?\nAnswer: 4235936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 22?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 494164159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -87275456, -87275444, -87275420, -87275378, -87275312, -87275216?\n\"Answer: z**3 + 5*z - 87275462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -30, -46, -78, -132, -214, -330?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 4020?\nAnswer: -4016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/72*(2 + -6). Let p be 8\/(-45) + (-14)\/(-35). Which is the closest to p? (a) z (b) 2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + -5*(3*(sqrt(176) + -1) + (sqrt(176) - (0 + sqrt(176))) + -4))*2)**2.\nAnswer: -326048 + 32640*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1009070 or 1009077?\nAnswer: 1009070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/11, 2816, 24?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15642382 is divided by 7821011.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.3938934 minutes?\nAnswer: 0.00656489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022011508 rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 7736.\nAnswer: -1547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15441300 and 125?\nAnswer: 77206500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 19*v - 83. Calculate the least common multiple of q(-12) and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 76. Let t(h) = -h. Give t(f(i)).\nAnswer: -i**2 + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 367 - 325. Suppose b*t - 52*t = -20. Solve -t*m + 5 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0, -141 in decreasing order.\nAnswer: 2\/5, 0, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-428)\/963*75\/(-425).\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15 - (16 + 32\/8). Which is the nearest to 1? (a) 2 (b) 2\/5 (c) 6\/7 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*v = 156*v + 135*v + 108. Let l = 13 + -7. Let t = l + -3. Which is the smallest value? (a) t (b) -5 (c) v (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 16*v = 0. Let k = -18 + 19. Let i be (v + (2 - 3))*k. Put -6, i, 5, -3 in descending order.\nAnswer: 5, i, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**3 + 47*j**3 - 11*j**3 - 14*j**3 - 8*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*d**2 - 4*d**2 + 7*d**2)*(-3 + 4 + 0) to n*d**2 + x*d + q and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**3\/6 + 9*d**2\/2 - 28*d. Let m be u(6). Solve q = -2*k + 3 - 9, -m*k = -q + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1120007)\/(-14))\/(-2*(-5)\/20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1566 = -7*l + l. Let n = 808 - l. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38556 divided by -4284.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -19 + 19 - u - 175*u**2. Let t be k(1). What is t rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*j**2 + 67*j**2 - 138*j**2 + (1 - 3 + 3)*(j - j - 2*j**2) as l*j**2 + q + u*j and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/122, -62, -0.5, 3\/2.\nAnswer: -62, -0.5, 3\/122, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*j = 57*j + 896 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i\/(i**(-1\/4)*i)*i)\/i))\/(i\/(i*i*(i**(-6)\/i)\/i*i)))**27*(i**(-1)\/i*i)**(-26)*(i**(-1)\/i)**22 assuming i is positive.\nAnswer: i**(-531\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.61915 + -1.62. What is j rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*d = -59*d + 4*z - 1, -5*d = 3*z + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -0.3. Let f = -15 - -10. Let u = 72 - 72.1. Which is the third smallest value? (a) f (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**2 + w - 1. Let v be (-2)\/(-11) - (-2)\/(-11). Let r = v - -3. Suppose -7 = r*b + 2*i, b - 8*i + 3*i = 26. Determine z(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -23*g**3 - 1. Calculate the remainder when u(-1) is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and -492549.02.\nAnswer: -492542.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from wzzz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*q*s**2*u**2 + 2*q*s + 36*q*u**2 - 6*q*u - 3*s**2*u - u wrt s?\nAnswer: 50*q*s*u**2 + 2*q - 6*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y. Let p(n) = -1272*n**2. Give p(x(v)).\nAnswer: -20352*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1320\/16*(-3 + (-22)\/(-2)). Let j = q - 185. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01261 and -4?\nAnswer: 0.05044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/(u\/u**(2\/29)*u))\/u*u*u*u**(-4\/21)*(u*u**(-16))\/u**(1\/8) assuming u is positive.\nAnswer: u**(-69409\/4872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -292463 divided by 2\nAnswer: -292463\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -25*g - 3. Let r(k) = -27*k - 4. Let s(h) = -4*c(h) + 3*r(h). Let t(x) = -5*x**2. Give t(s(m)).\nAnswer: -1805*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17655 is divided by 328?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*(-2 + 0))\/(-3). Let u be (-168)\/198 - (-2)\/3. What is the closest to -1\/3 in t, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/9 and 85\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5859138843.\nAnswer: 3, 449, 491, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x. Let a(g) = -g + 1. Let d be 0 + (-2*1)\/2. Let p(z) = -1 + 2 + 2 - 4. Let b(r) = d*p(r) - a(r). Determine b(v(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*t + 287*t + 321*t + 275*t - 995*t.\nAnswer: 132*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*i**2 + 25719*b**2 + 2155*i**5 + 4*i**3 - i wrt i.\nAnswer: -2*b**2 + 43100*i**3 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 - 1618*n**2\/9 + 328048*n\/9 - 326432\/9.\nAnswer: 2*(n - 404)**2*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/12*0 - -19 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 plus -0.18?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2. Let r(x) = 13*x. Determine r(f(g)).\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -123059*s + 0*s**2 - 9 + 26*s**3 + 123067*s - 27*s**3 + 3*s**2. Determine n(6).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7)*v**0)**(1\/40) assuming v is positive.\nAnswer: v**(-1\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**4\/24 + 10*v**3\/3 + 2*v**2. Let c = -1990 + 1990. Give g(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9 = s. Suppose -136 = -7*f + s*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28650\/70 - (-2)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -5, 2 in decreasing order.\nAnswer: 5, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 168011473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1873536 divided by 128.\nAnswer: -14637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 15. Let k be y(10). Solve -2*u - k*m - 21 = 0, -2*m - 2 = u + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 10:37 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -11*c**2 - 1355*c - 2885. Calculate b(-121).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*o + 14*o + 12*o + 12*o + 21*o - 98*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 8. Suppose 4*a - 396 = n*m, 100 = 2*a + m - 110. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 149312, 298639, 447976, 597329, 746704, 896107?\n\"Answer: v**3 - v**2 + 149323*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 300 + -300.3. Let l = 0.3 + -0.5. What is the nearest to -1\/3 in 2\/5, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-64))\/(4\/16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > -1915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000273170942 rounded to 7 dps?\nAnswer: 0.0000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 42 = 2*c. Let t(u) = -2*u**3 - 4*u - 3*u**2 - 2*u + 4*u - 3. What is the remainder when c is divided by t(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1593807, -1593789, -1593773, -1593759, -1593747, -1593737, -1593729?\n\"Answer: -i**2 + 21*i - 1593827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 5*w - 3. Let i be r(6). Suppose 0 + 12 = -i*o, -p + o + 9 = 0. Let f = -2 + 3. Put -4, -2, f, p in decreasing order.\nAnswer: p, f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 1149 + 249. Suppose 3*d + 2*i - u = 0, 0 = -0*d - d - i + 50. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 31 = -p, 34*r - 33*r + 25 = 5*p. Is -7 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 401*z + 1998. What is w(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12831 and 89817?\nAnswer: 89817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*o + 2*n - 440, -11367*o = -11369*o + n + 35 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) 0.045 (c) 1\/4 (d) -0.3 (e) 38 (f) -1 (g) 41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -18*y**4\/19 + 2827932*y**3\/19 - 111071271194*y**2\/19 - 74048456776*y\/19 - 12341461832\/19 = 0.\nAnswer: -1\/3, 78554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1768840.833 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 210*m - 8406. Determine j(40).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {h: 3, r: 5, w: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 7 - 2)*(-4 + 2*j + 4 + (3 + 4 - 5)*(j + 0*j - 3*j) - 5*j - 7*j + 3 + j + (j - 1 + 1)*(-3 + 1 + 1)) to the form c*j + h and give c.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 7:56 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*t**4 - 431*t**3 + t**2 + 1025559?\nAnswer: -212*t**3 - 1293*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 280 or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, -526.\nAnswer: -526, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 1\/3*d**3 - 3 + 1\/10*d**5 + 3\/2*d**2 + 0*d + 1\/4*d**4 + 1\/60*d**6. Let w(h) be the second derivative of l(h). Factor w(v).\nAnswer: 2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/29? (a) -52 (b) 0.1 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2412956 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/9*-15*(-3)\/(-6). Calculate the greatest common factor of t and 140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/10*(-15)\/6. Solve -d - 3*d + s = 5*h, h = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -108, -249, -462, -789, -1272, -1953, -2874?\n\"Answer: -7*u**3 + 6*u**2 - 110*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2690667?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -401, -403, -405?\n\"Answer: -2*r - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/45)\/((-4)\/(-10)). Let a be -3*w\/18*-6. Solve 2*x - 6 = a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 - -77. Suppose -b*s = -284 + 74. Suppose 9 = 2*n - 3. Calculate the highest common divisor of s and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -14463 and 49 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 4)**2*5.\nAnswer: 480*sqrt(5) + 3680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76918.34 litres to millilitres.\nAnswer: 76918340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 - 5. Let l(y) = -25*y. What is n(l(o))?\nAnswer: 2500*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.22 - -29. Let y = 0.02 + x. Sort -2, 2, y.\nAnswer: -2, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4907 - 4906.8. Let k = 2.52 - 0.32. Which is the nearest to 0.2? (a) k (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/50)\/((-10)\/50). Put -23, -0.1, r in descending order.\nAnswer: r, -0.1, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 2 + 2)*(3 + 3 - 3) - 4 + 7*q - 8*q - 1 as l + c*q and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 4*t - 7*t)*(-2*t + 0*t + t) + (-2*t - 2*t + 6*t)*(t - 4*t + 5*t) - 5*t**2 - 6*t**2 - 3*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 4 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11*y. Determine k(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 - z**2)*((-4*z + 4*z + z)*(z + 2*z + z) + z**2 + 3 - 2 - 3).\nAnswer: -5*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -535482590*u**2 - 386438515?\nAnswer: -1070965180*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 607 and -91483.7755?\nAnswer: 92090.7755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 - f**2 + f**4 + f**5 + 2*f**5 - 2*f**5 - 3*f**5 + 0*f**5 + 3*f**5 + 0*f**5 + (-3 - 2*f**2 + 3)*(-f**3 + 3*f - 3*f).\nAnswer: 3*f**5 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/4618920 and -31\/976.\nAnswer: 9237840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Let b(u) = -2*u**3 + 21*u**2 - 2*u - 76. Let h be b(10). Sort q, 7, h.\nAnswer: q, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98.7? (a) 0.1 (b) -1\/13 (c) 2\/13 (d) -5\/3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + -8 - (-2 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 11\/6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-32)\/20)\/((-4)\/20). Let z = c + -3. Solve 4*o - 7 - 21 = -3*k, 3*k + z*o = 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*s = 83*s - 1326. Calculate the remainder when s is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22760, -22766, -22774, -22784, -22796, -22810, -22826?\nAnswer: -22844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2\/6*45\/75.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 111466 = 3*y + 2*p, 2*p - 167190 = -3*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1184000 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2273036*l**3 + 3918488 wrt l?\nAnswer: 6819108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -26 + (-4 - 2) + 3 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5188*b**3 + 2*b**2 + 4*b - 7641 with respect to b.\nAnswer: -15564*b**2 + 4*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20077 is divided by 1896?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t**2 + 19*t + 9 - 44 - 16 + 3 wrt t?\nAnswer: -4*t + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - w**2 + w. Let j(b) = b**3 - b**2 + 17*b - 9. Let z(v) = 3*d(v) - j(v). Let c be (-88)\/(-9) - (-6)\/27. Is z(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x - 2. Let u(z) = 2*z - 68. Let w be u(32). Let v(d) = 0 - 2 + 5 - 8*d. Determine w*v(g) - 5*o(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068226567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10110100000 (base 2) to base 11\nAnswer: 109a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 0, -5963, 4 in decreasing order.\nAnswer: 4, 0, -48, -5963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 899 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/459 and -34\/9.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66 - 0.56.\nAnswer: -66.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Let t(d) = 6*d**2 - d - 1. Let m(j) = -j**3 + 28*j**2 - 30*j + 92. Calculate the remainder when t(y) is divided by m(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 218569\/82 - 2665. Calculate the common denominator of i and 137\/110.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 0.17.\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r**3 - 4*r + 81*r**2 - 43*r**2 + 6*r - r**3 + 1 as x*r**3 + f + p*r + v*r**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((5\/(10\/(-52)))\/18).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 544052 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 80 = -r. Suppose n + r - 42 = -a, 115 = 5*a + 2*n. What is the greatest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (6 + 0) - (733 - 738).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 153492003?\nAnswer: 4\/153492003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l + 0*l)*(l**2 - l**2 + l**2) - 63*l + 171531*l**3 + 171538*l**3 - 343091*l**3.\nAnswer: -20*l**3 - 63*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(625)*2 - sqrt(625))\/sqrt(5).\nAnswer: -1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 6:25 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-2)*1\/(-3)*(-40)\/(-45)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9288 is divided by 773.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 35 = -7*l. Let t(f) = 3*f + 24 - l*f - 3*f. Let h be t(8). Round h to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (84\/49)\/(1\/154). Let r = 10 - 5. Suppose -315 = -5*y - r*n, 0 = y + 3*y + n - p. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3881675 + 3881675.2698397. Let c = 0.27 - g. Round c to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -288829*d**4 + 662066 wrt d?\nAnswer: -1155316*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = b + 10, -2*b + 0 + 4 = 0. Suppose -m*x + 15 + 3 = 4*h, -x + 4*h = -6. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3\/6 - 2*y**2\/3 + 11*y\/6 - 1 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 - 25*b + 43. Let d be t(-10). Suppose -f - 21 = -2*f + 3*s, -3*f - 4*s = 2. Let l(h) = -f*h + 8 + 5*h - 4 - 5. Determine l(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/4355 - 56583\/69680. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1914295680 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302 + 302 - 7*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17577 + 17596. What is the remainder when 138 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61309650 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*i**4 - 2*i**3 + 17*i**2 - 8*i - 28*i**2 + 12*i**2 + 4 - 2 + 5*i in the form v*i + x*i**3 + n + q*i**4 + t*i**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2, -81 - 81 = -2*a + 4*j. Let z = 63 - a. Let x be ((120\/z)\/(-1))\/(1\/14). What is the greatest common factor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18))\/(6\/((-504)\/(-6)))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -10 + 34. Suppose d*u - 5 = 3*u. Is u <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5421*k + 10410 = -216*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 19*x + 3. Let p = 324 + -321. Let n be q(p). Suppose 2*l = 6*l - 20, -i + 50 = 4*l. Calculate the greatest common factor of i and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001101000 + 11101101?\nAnswer: -10101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2840.829 meters to millimeters.\nAnswer: 2840829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138 - -97. Let q = 38 + 8. Let l = t + q. Which is the smallest value? (a) -1 (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)*3*2)\/(sqrt(21)\/(sqrt(56)\/(sqrt(8) + (sqrt(8)*-2 - sqrt(8)) + sqrt(8)))) + 0.\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102.214 - 0.214. Let x = 164 - k. Let a = -61.99999876 + x. Round a to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18995445?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 69135 divided by 23045\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 515, 515, 531, 569, 635, 735?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 3105.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 14*c**4 + 9*c**3 - 4*c**2 - 4*c. Let w(u) = u**4 + u**3 - u**2 - u. Let h(l) = 4*w(l) - y(l). Solve h(p) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 3*a + 6, -5*q + 2*q + 4*a + 21 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/29, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*w**2 + 0*w + 28*w**2 + 5*w - 5*w**3.\nAnswer: -5*w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeujjjgejjecj. What is prob of sequence ejee?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218424.\nAnswer: 2, 3, 19, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*k - 81*k - 132 = 0. What is the greatest common divisor of 55 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -7, -4, -2, 1400 in decreasing order.\nAnswer: 1400, 4, -1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 11 = -2*a - 23, 4*a = c - 24. Sort c, -1\/5, 0.539, 5 in increasing order.\nAnswer: -1\/5, c, 0.539, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**3\/3 - 7*z**2\/2 - 31*z. Suppose 5*l = 3*x - 28, -4*l - 5*x = 36 + 16. What is the units digit of a(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z + 2. Let u(r) = 190*r + 55. Let v be 3\/2*(-330)\/(-9). Give v*n(a) - 2*u(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*y - 6, 38*y - 6 = -p + 40*y. Suppose -p*n - 16 = 0, -5*n + 40 = 4*d - 0*d. Solve 0 = -18*s + d*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 3*n + 1\/42*n**4 + 0*n**3 - 1\/7*n**2 + 0. Factor g(o).\nAnswer: 2*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7113\/12 - ((-3)\/12 + 1) is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -222*a. Let t(p) = 15*p. What is j(t(d))?\nAnswer: -3330*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 3:09 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12638 - 4*p**4 - 12639 - 6*p**3 - 2*p**2 + 8*p**3 + p to r*p**3 + j*p + o*p**2 + c + z*p**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 + 3.05. Let l = s - -2. Put -1\/3, l, 2\/21, 0.1 in decreasing order.\nAnswer: l, 0.1, 2\/21, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/34 - (-2070)\/2346?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0177*-52403.9.\nAnswer: -927.54903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -17*y + 1. Let q(m) = 1 + 14833*m - 7432*m - 7410*m. Determine 6*p(c) - 11*q(c).\nAnswer: -3*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 26*r**2 - 31*r - 110. Let n be l(-27). Let z be 4 - (-3 - ((-7 - n) + 1)). Solve -z*g + 19 - 13 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 15*i**2 + 16*i - 13. Let o be y(13). Let s = -61 - o. Is s a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) -0.4 (c) -1.57 (d) 0 (e) -0.06 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 3*m - 12. Differentiate -16*x**m + 0*x + 259 + 0*x - 267 with respect to x.\nAnswer: -64*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 14*u**2 - 18*u - 19. Let a be o(-15). Suppose -16 + a = 5*k. Solve 5*i - 9 - 6 = -k*g, -3*i = 3*g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 + 59)\/((3\/(-10))\/(-3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3025 and 333249972?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**4 - 505943*s**3 - 63994326840*s**2 + 63994832784*s = 0.\nAnswer: -252972, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/10 (b) -0.06 (c) 533 (d) -2.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 54. Let j(i) = -71*i. Calculate j(o(h)).\nAnswer: 142*h**2 - 3834","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/2)*(n**(1\/4)*n)\/n)\/(n**(-1\/2))**(-30))**(-6\/35))**(8\/5) assuming n is positive.\nAnswer: n**(732\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35, -109, -221, -371, -559, -785, -1049?\n\"Answer: -19*u**2 - 17*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 89304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 16 = -0*a + 3*d, 0 = a + 5*d + 18. Suppose 0 = a*i - 3 + 5. Let p be ((-117)\/6)\/(i\/2 + 0). Calculate the highest common factor of 39 and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 9, z: 9}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3319 - 2748. What is the remainder when x is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 plus 7.591295486529?\nAnswer: 16.591295486529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r + 111 - 261 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u = -20. Suppose 6 = -3*n - 0*n. Let h = 5 + n. What is the remainder when u is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10634*d**2 - 16363 wrt d.\nAnswer: 21268*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l + 30 = 0. Let b(x) = 2*x**2 + 2*x + 3. Is b(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2*t - f, 29*t + 3*f + 35 = 31*t - 2*f for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1. Let t(s) = -9*s + 2. Determine -g(f) - t(f).\nAnswer: 9*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1)*460\/552?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1.1, 900, -0.2, -18, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 35*o**2 - 152*o - 7. Let z(c) = -36*c**2 + 151*c + 10. Let x(r) = 4*d(r) + 3*z(r). What is the thousands digit of x(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = 5*i - 988. 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 z(r) = -r - 1. Suppose 6*w + 15 = 9*w, 4*w + 160 = 4*g. Let u be (18\/g)\/((-77)\/(-25) + -3). Give z(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 32*u + 54. What is the remainder when z(-15) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.046 - -14.046. What is the third smallest value in -0.4, j, 2, -2, 2\/71?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -51. Let z be 3 - (6 + -6)\/(y - 3). Put z, 2, 4, -4 in ascending order.\nAnswer: -4, 2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**3 - 861545*f**2 - 5169135*f - 7753635 = 0?\nAnswer: -172303, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126.23 - -0.23. Let f = y + 126.0224. What is f rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/7 + 66156*r**3\/7 + 1257446*r**2\/7 + 7942776*r\/7 + 2382984 = 0. Calculate r.\nAnswer: -7, -6, 33097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 2. Let l(v) = -21*v - 33. Determine l(j) + 9*y(j).\nAnswer: -3*j - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 17*h**3 - 5*h**2 - 10. Let u(g) = -26*g**3 + 8*g**2 + 15. Let t(f) = 8*k(f) + 5*u(f). Differentiate t(c) wrt c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9721117 kilometers in micrometers?\nAnswer: 972111700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -41.3\nAnswer: -20.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 7:48 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2998 - 6113\/2. Let n = b - -58. What is the smallest value in 2\/7, n, 0.06?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 2*u**6\/15 - u**5\/10 - u**4\/4 + u**3 + 725*u**2. Let o(w) = 385*w**3 - 143*w**2 - 143*w + 143. Determine 143*n(y) - 6*o(y).\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 10:52 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 85093160 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 409, 829, 1261, 1711, 2185, 2689, 3229?\nAnswer: 3811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/(-16))\/(1\/118).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4*l - 424 = 0. Find the third derivative of 106*w**3 - l*w**3 - 21*w**2 + 4*w**2 + w**6 wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e9 - -4?\nAnswer: -2e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2311.6 + 2304. Let r = 5.67 + 1.43. Let p = m + r. What is the nearest to p in 0.1, 1\/3, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 21 - 4*w**2 - 5 + 12*w + 3*w**2. Let s be k(13). Solve -3 + 0 = -s*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 42, -179, 61, 7.\nAnswer: -179, 3, 5, 7, 42, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 218*m + 1649*m - 376*m to w*m + i and give w.\nAnswer: 1491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1809*r**2 - 2275*r**6 - 27*r + 1564*r**2 + 45*r - 18*r wrt r.\nAnswer: -273000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u + 22. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*w - 4 = 102*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 2)\/25 - (-258)\/10. Suppose j + x = 29. Sort -3\/11, j, -0.5, -0.2 in decreasing order.\nAnswer: j, -0.2, -3\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -819 - -1710. Let j = -206 + l. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4218, -4164, -3990, -3630, -3018, -2088, -774?\nAnswer: 990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + j + 3*t + 42 = 0, -43*j - t + 22 = -23*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1255182 and 53\/15?\nAnswer: 6275910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 80, 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 7*r**2 - 9*r + 6. Let d be q(8). Let o be (-4)\/(-6) - (-8)\/(-6). Is d at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**5\/60 + 5*r**4\/24 + r**3 - r**2. Let p be c(-5). Let i(y) be the second derivative of -y**3\/6 - 2*y. Give i(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 3892 + 4081 - 8129)*(-37 + 40 - 5*y**3 - 2*y**3) to the form l*y**3 + f*y + s*y**2 + n + c*y**4 and give n.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuuuuuyuu. Give prob of picking 1 u and 2 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 + 12*o + 1. Let w(p) = -11*p**2 - 25*p - 2. Determine 6*w(i) + 13*z(i).\nAnswer: -i**2 + 6*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 129, 262, 395, 528, 661, 794?\n\"Answer: 133*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.2 + -21. Let t = r - -1.8. What is the biggest value in t, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64\/5 - 4\/5*l**2 - 8*l.\nAnswer: -4*(l + 2)*(l + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 times 30762\nAnswer: 8613.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/36 + (-30)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -152*z + 158*z - 6. Suppose -3*c = 6*v - 5*v - 10, -3*v - 30 = -3*c. Let a = c + z. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1281 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + -18d708?\nAnswer: -18d718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -1 - 9. Suppose 3*y = -q + i, -4*y = y + 2*q - 7. What is the second derivative of 5*f**y + f**2 + 5*f**3 - f**2 + 6*f wrt f?\nAnswer: 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*q - 7 - 61 - 202 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116*u**4 + 3*u**2 - 23275*u + 11767934 with respect to u.\nAnswer: 464*u**3 + 6*u - 23275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5508*n - 34264*n - 9421*n - 1 + 10050*n.\nAnswer: -39143*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 5:13 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f + 47*f + 32*f + 67*f + 42*f.\nAnswer: 169*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42621600 divided by 5327700.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-153)\/15 + (-4 - -13)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y + 3*y)*(2 + 14 - 1)*(-3 + 2 - 2).\nAnswer: -135*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 1. Let o(j) = 78*j + 37. Let x(c) = 6*b(c) - o(c). Is x(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6556571 by -1.\nAnswer: 6556571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o = -101*o + 384 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 32 = 4*a + 5*q, 4*a = -5*q + 40. Suppose -26 = -5*w + n - 2*n, -a = -2*w + 5*n. Suppose 0 = -w*o + 25 + 65. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/(-4))\/(15\/(-660)*11) + -6252. Is -6245 equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6*o + 3 - 2*o)*(20 - 1 + 13) in the form v + z*o and give z.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*k + 279 = k, d - 5*k - 133 = 0. Does 23 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002988 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -46, -279, -832, -1831, -3402, -5671?\n\"Answer: -21*s**3 - 34*s**2 + 16*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48256 and 1131.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.17039 - 1406?\nAnswer: -1490.17039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - x - 18, x + x = -5*u + 19. Let v = 9 - u. Solve 0 = -2*d - v - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 4. Let s be 5*(-2)\/4*(-24)\/30. Let k be 6*((-10)\/(-8) - s\/8). What is f(k)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/14555852 and 121\/1428378.\nAnswer: 305672892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 2, 0, -2 in descending order.\nAnswer: 5, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -43*r - 4*r**3 + 2*r**3 + 3*r + 92 - 43*r**2 + r**3. What is the least common multiple of j(-42) and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*o - 6 + 5)*(2 - 8 - 3).\nAnswer: 18*o - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 + 2*j - 1. Let n be -3*(-1)\/(-1 - -4). Let c be q(n). Let d(o) = 2*o**2 + 3*o - 5. Is d(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14902 is divided by 94?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 5\/12*g**4 + 0 + 5\/3*g**3 + g**2 - 1\/12*g**5 - 1\/120*g**6 + 0*g. Is s(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/336*(-50)\/15)\/(1\/(12\/(-2))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 64*o**2 - 119*o**2 + 57*o**2. Let g(t) = -306*t**2 + 16*t - 32. Let m(n) = -61*n**2 + 3*n - 6. Let q(z) = 3*g(z) - 16*m(z). Determine f(q(s)).\nAnswer: 6728*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34442.17 millennia in decades?\nAnswer: 3444217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j + 22. Suppose 5*d - 14 = j. Suppose -3*s + 1520 = d*n, -4*s + 584 = 4*n - 624. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 12*b - 9. Give l(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -4, -1.33, 0.08 in increasing order.\nAnswer: -25, -4, -1.33, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 267267 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**2 + 2*d. Let s(j) = j**2 + 1. Let p(l) = 10*l**2 - 3*l + 3. Let t(r) = p(r) - 4*s(r). What is -3*t(c) - 4*x(c)?\nAnswer: 2*c**2 + c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094 - (-5 + (-36)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126 + -85. What are the prime factors of y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjuu. What is prob of picking 2 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**3 - 5*i**2 - 11*i - 10. Let a be p(-7). Suppose 0 = 5*m - a - 131. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -1380516212.\nAnswer: -1380516209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(686) + sqrt(14))*-4)\/(sqrt(14)\/(sqrt(35)\/sqrt(5))).\nAnswer: -32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4757, 13551, 22345, 31139, 39933, 48727?\n\"Answer: 8794*d - 4037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4 - (-6 + -3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188)*-2 - (sqrt(2112) - sqrt(2112)*2))\/((sqrt(704)*2 + sqrt(704))*5*1).\nAnswer: -sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, t: 1, g: 1, n: 1, m: 2, x: 1}. Give prob of picking 2 b, 1 n, and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 292461512 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 24419*h**2 - 18*h + 24421*h**2 - 17*h + (h**2 + 3*h - 3*h)*(8 - 6 + 13).\nAnswer: 17*h**2 - 35*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + -3 + sqrt(833) + (5 + sqrt(833) + 3 - sqrt(833)) + sqrt(833))**2*1 + 1.\nAnswer: 336*sqrt(17) + 20017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, t: 2, i: 1}. What is prob of sequence ytty?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27224.\nAnswer: 2, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 15*p - 27. Let m be y(-10). Let u = 0 - m. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-31)\/(-4) - 0)\/((-20)\/(-160)). Let g = p + -20. What is the smallest common multiple of g and 27?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 163 or 2?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3775 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/(p\/(p\/(p\/(p*(p*p\/(p*p**(3\/2)))\/p)))))\/p)\/p)\/p*p)\/(((p\/(p*(p**(2\/7)*p)\/p))\/p)\/p*p))**(-1\/3) assuming p is positive.\nAnswer: p**(17\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = -35 - 7 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + u + 9 = 0, 3*k + 4*u = 52 + 10. What is the tens digit of (-74)\/(-14) - 5 - (-192)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -21.999998996. What is l rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2)*((-8)\/(-2) + -9). Suppose -m*h = 16 - 6. Let v be (14\/21)\/(-11*2\/6). Which is the closest to h? (a) 1\/7 (b) v (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -185*n + 82*n - 9 + 96*n. Let p(q) = -2*q - 3. Give 3*f(r) - 8*p(r).\nAnswer: -5*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3 + (1 - 2 + 0)*(3 - 3 + 1))*(w**3 - 2*w**3 - 3*w + 8*w).\nAnswer: 4*w**3 - 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 11:39 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 + -0.39. Which is the nearest to 2? (a) -5 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613871982?\nAnswer: 2, 3, 31, 47, 89, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-44)*123\/(156087\/282).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, x: 2, p: 1, l: 1, z: 1}. What is prob of picking 1 x, 1 z, 1 g, and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)\/j)\/j)\/(j\/j**12) assuming j is positive.\nAnswer: j**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uququu. What is prob of sequence qq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-10))\/(2\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -166 + 155 - (-5 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**7\/42 + 3*d**6\/8 + d**5\/4 - 145*d**4\/24 + 15*d**3 + 91*d**2 + 26*d. Determine n so that v(n) = 0.\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i - 5*z = -16, 0 = i + 3*z - 3. Let m = i + 1. Suppose -29*b + 20 + 38 = 0. Sort b, m, -1.\nAnswer: m, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 4. Let l be a(0). Sort -0.1, 10, l.\nAnswer: -0.1, l, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/6, 0.4, 3, -77 in ascending order.\nAnswer: -77, -0.2, 1\/6, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -72. Suppose -c + i = -29. Let o be (1 - (-14)\/(-10))*-30. What is the highest common divisor of o and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16055, 32133, 48211, 64289, 80367, 96445?\nAnswer: 112523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -23*j - 2. Let n be i(-4). Suppose x - 4*x = -n. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1794975673.\nAnswer: 1493, 1202261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231 + 229*s - 427*s + 197*s.\nAnswer: -s + 231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + -70. Suppose -3*d = 4*t - 8, -2*d + 4 = q*t - 1. Suppose 3*r - 6*k = -d*k + 714, -r + 4*k + 238 = 0. List the prime factors of r.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 92*q - 708. Let o be b(9). Calculate the highest common factor of 345 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*j - 3496 + 3496 + 0*j to q + f*j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2)*-6 - (sqrt(13)*-1 + 2)**2.\nAnswer: -17 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 2*u**2 + 3*u**2 + u**2. Let p(h) = -6*h**2 + 3*h. Let a(m) = -m**2 + m. Let g(t) = -3*a(t) + p(t). Give g(d(y)).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = w + 5*b, 10*w + 11 = 12*w - 3*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*j + 3*j = 51, 5*r - 181*j + 69*j - 10 = -52*j for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012641 rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -123*k**2 - 5*k - 2. Let l(t) = -60*t**2 - 3*t - 1. What is 7*l(q) - 3*r(q)?\nAnswer: -51*q**2 - 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 11*k + 21. Let l be x(-5). Suppose 5*g - 87 = 473. What is the highest common factor of g and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32557, -131762, -297617, -530122, -829277?\n\"Answer: -33325*a**2 + 770*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d - 126 = 0. Let f be d\/42 + 130\/4. Which is bigger: f or 0.8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 7.7. Let t be 22\/(-6) + 2\/3. Sort m, -0.4, t in ascending order.\nAnswer: t, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8788, 17580, 26370, 35158, 43944, 52728?\n\"Answer: -f**2 + 8795*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 10477481?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/(-16))\/(-15*(-2)\/(-18)))\/15?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3110330 + 1?\nAnswer: 3110331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -24 - 6*z - 4*z - 2*z - 2*z. Calculate the remainder when 35 is divided by t(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from xkqezxx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -b - 5*q + 27, -5 = -q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2. Let q(j) = -2*j**3 - 12*j**2 - 11*j + 7. Let s be q(-5). Let p(h) = h + 7*h + 9*h + s*h. What is p(l(k))?\nAnswer: 87*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + ((sqrt(171)*-4)**2 - sqrt(171)) - (sqrt(38) - sqrt(38)*5)\/sqrt(2) - (3*sqrt(76)\/sqrt(4) + ((-1*sqrt(2299))**2 - sqrt(19))).\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2499 + 2409. Let c(i) = i**3 - i - 1. Let q(l) = -72*l**3 + 90*l + 90. Calculate w*c(d) - q(d).\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -22455*x + 343. Is n(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -11011010000011110011?\nAnswer: -11011010000011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z - 25. Let x(t) = 3. Let j(a) = 2. Let h(k) = 3*j(k) - x(k). Let b(m) = 24*h(m) + 3*y(m). List the prime factors of b(2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*t - 147*t - 96*t = 64*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 5*s**2 + 3*s**2)*(-3*s**2 - 2*s**2 + 6*s**2 + (0 + 2*s + 0)*(-4 + 4 - 1)*(3*s - 2*s - 4*s) - s**2 - 3*s**2 + 7*s**2).\nAnswer: -30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83851679 to the nearest integer?\nAnswer: 9157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*q = -132*q + 287*q + 105 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccczcccccccccococ?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24, -3, -2\/3, 2\/223, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 10*h - 17. Let j be d(12). Let v be j + (-4)\/(-4) + -4. Suppose -212 = -0*f - v*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 50*y = 19*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -45405 + 0.3?\nAnswer: -45404.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 10) in base 13?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 416839293 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - 4124?\nAnswer: -4137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 10*o**2 - 13*o + 26. Let w be c(11). Suppose 3*q = -7*i + 2*i + 612, i - 816 = -w*q. Is 28 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 96*c - 2301. Let h be k(-49). Solve 0 = 6*r - h*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 153*c**2 + 5094*c + 233. What is n(104)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 122, 5, 0, 3, 3862, -4.\nAnswer: -4, -1, 0, 3, 5, 122, 3862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14362.\nAnswer: 2, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -944*m**4*z + 2*m**2*z**2 + 10*m - 56*z**2 wrt m?\nAnswer: -11328*m**2*z + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -882\/5 - -177. Which is the smallest value? (a) -3\/8 (b) h (c) 0.11 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1537 - -1527. Let v(r) = r**2 + 9*r - 15. Calculate v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 1. Let j be c(-2). Let g(a) = -a**3 - 6*a**2 + 8*a - 8. Let o be g(-7). Let d be (18\/o)\/((-2)\/10). Solve -j*v = -2*v - d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66 - -110?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 3:41 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-12)*(-12 - 114\/(-14))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -160125 - -2?\nAnswer: -160123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.023 - -150.977. Let j = -151.122 + m. What is j rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9428 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269735, 1078937, 2427607, 4315745?\nAnswer: 6743351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from dzdddddddzdzdddd.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 11:27 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 119, 115, 109, 101, 91?\n\"Answer: -v**2 - v + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -160\/9. Let p = -195\/37 - -2071\/407. Put g, 0, p, -6\/7 in descending order.\nAnswer: g, 0, p, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -155 (b) -2\/5 (c) 1\/4 (d) -1 (e) -7\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5522147?\nAnswer: 61, 90527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*h + 70 = 0, -2*h = 3*l - 2*l - 23. What is the second derivative of 119*w - 40*w + l*w**3 - 59*w wrt w?\nAnswer: 102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyy when three letters picked without replacement from {y: 2, u: 2, l: 4, k: 5}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + k**2 - k + 369. Let n be f(0). Suppose -1354082*l = -1354078*l - 164. Calculate the greatest common factor of l and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -92*g**2. Let r(b) be the first derivative of b**2\/2 + 15. Determine v(r(l)).\nAnswer: -92*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 4.2101.\nAnswer: -4.6101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 6. Let x(q) = -4*q**2 - 25. Let h(c) = 18*t(c) - 4*x(c). What is the derivative of h(j) wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.05114 rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7224, 1\/7, 0.4 in increasing order.\nAnswer: 1\/7, 0.4, 7224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -17 - (-29 + 21 + 2 + 7)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 21*b**3 - 14*b**3 + 3*b**4 + 1 - b**2 - 10*b**3 - b**2 to the form h + r*b**4 + g*b**3 + l*b**2 + c*b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-4)\/(2 - (-1 + 2)). Solve 5*r - 2*y = 13, 5*y + 12 + x = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-714)\/(-9))\/(-1)*504\/(-378)*(-9)\/(-14)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -300 + 1080. Let r be (m\/(-550) - 2\/11)*-281875. What is r rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1653240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/9 - 4472*z**2\/9 + 8962*z\/3 - 4484.\nAnswer: -2*(z - 3)**2*(z + 2242)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k - 2*k)*(-1278 + 1363 + 270*k**2 - 262*k**2).\nAnswer: -16*k**3 - 170*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 42*c - 53*c - 1230 = 0 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) -0.05 (c) -5 (d) 0.081 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9731*n**2 + 8*n - 24378*n**2 + 4*n - 12*n)*(2 - 2 + 3 + 2*n).\nAnswer: -68218*n**3 - 102327*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37469, 74952, 112435, 149918?\nAnswer: 187401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4 - 90*o**3 + 554*o**2 + 17562*o + 16920 = 0. What is o?\nAnswer: -47, -12, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:32 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*n + 2 + 3, 0 = 4*r - 2*n - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*t + 16, -6*t + 7*t + 4 = -2*x. Suppose x = -2*l + 18 + 12. Suppose 20*n - 340 = l*n. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c. Let n(t) = -168798*t + 57. Determine y(n(u)).\nAnswer: 337596*u - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - (-174)\/18)\/((-3)\/(-2961))?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 1394.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 - -64. Let x(z) be the first derivative of 37*z**2\/2 - 21*z - 2. What is the remainder when x(h) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 2*c + 18 = 2*k, 4*c = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 12*n**2 + 20*n + 18. Let l be r(-15). Let o = -84 - l. What is o rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -184\/4253 or -1?\nAnswer: -184\/4253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + ((-145)\/45)\/(-1). What is the nearest to -1 in 3, y, -18\/13?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 7*s**2 - 43*s. Let h be y(4). Sort h, -51, -4.\nAnswer: -51, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1242656, 2485355, 3728052, 4970747, 6213440?\n\"Answer: -s**2 + 1242702*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10961*76\/(-162184) + (3\/4)\/((-6)\/28)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1019917 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 14. Suppose -z = -4*z - s. What is the remainder when 0\/z - 5*-4 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.23, -1, 234, -3, 63?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -4107437.\nAnswer: -4107436.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3, 41\/2, -0.03, 0.05, 2\/9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.75 rounded to the nearest 10?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Suppose 3*x + 10 = 3*l + 4*x, l + x = f. Solve -l*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = 5*v, -3*v - 2*p + 4 + 2 = 0. Suppose v*y + 723 = 227. Let s = y + 378. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -403 and 0.3.\nAnswer: -120.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -152*z**5 - 63882*z**4 + 63882*z**4 + 2*z**5 - 3*z**5 + 0*z**5 + (0*z**5 - z**5 - z**5)*(-1 - 3 + 3) + z**5 + 38*z**4 - 38*z**4 - 4*z**3.\nAnswer: -150*z**5 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -89046 times -0.1\nAnswer: 8904.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 231 - 230. Let x(j) = j. Let h(y) = 5*y + 2. Determine a*h(q) - 6*x(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12393499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 1. Let f be ((-1)\/(-1))\/(-1 + 2). Let h be 0 - (1\/4 + -1). What is the second smallest value in i, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 - 8*p**2 + 2*p + 1. Let d(m) = -m**3 - 4*m**2 + m + 1. Let u(c) = 5*d(c) - 2*j(c). Let f = -3 - -5. Let x = 5 - f. What is u(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.223 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 3*n**2 + 11*n**2 - 11 + 5 to l + j*n**2 + w*n and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -22*b + 24*b - 5*m, -4*b - 5*m = 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 - 10*b - 8. Let i(c) = -3*c**2 + 8. Give u(i(j)).\nAnswer: 27*j**4 - 114*j**2 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + q**4 + (-4*q + 3*q + 2*q)*(-6*q**3 + 4*q**3 + 4*q**3) + q**4 + 1 - 1 + (0*q**3 - 3*q**3 + 0*q**3)*(-1 + 2*q + 1) - 13*q**4 + 29*q - 29*q.\nAnswer: -15*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4034 + -4019. Solve -v*w = -8 - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369194957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 58 = n + 192, 86 = 3*v - 2*n. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31978978\/5 or 1\/3?\nAnswer: 31978978\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/14, 5, -2, 1\/4, -0.2353, -2\/9?\nAnswer: -0.2353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 12*k**2 - 10*k - 11. Let i be (-1)\/(-3) + -1 + 3130\/15. Let d be i\/16 - (1 + 1). Let m be n(d). Which is smaller: m or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 272 - 138 - 135 - 477*v + 477*v + 5361*v**3 in the form m*v**3 + p*v + s*v**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 46, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*p + 71*p - 169536. What is the remainder when p is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r + 23*r + 20*r - 70*r + 4*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203257.\nAnswer: 439, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 21310969 to the nearest one thousand.\nAnswer: 21311000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51244 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3011 (base 4) to base 9\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003008506354 to seven dps.\nAnswer: 0.0000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1))\/d)\/d**(-2\/5)*d**(2\/13)*d**(4\/7)*d**1*d\/d**(-2\/7)*d*d*((d*d**(4\/3))\/d)\/d*d**4 assuming d is positive.\nAnswer: d**(11936\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/35 + -7 + (-465)\/(-75)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 451426 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -387*x. Let v(l) = 2*l. Calculate v(c(g)).\nAnswer: -774*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -62, -105, -180, -299, -474?\n\"Answer: -2*h**3 + 2*h**2 - 15*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*a = 18. Let w = -81 - -86. Solve -a = -w*r - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 - -1 - (-508)\/12*3?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673431 is divided by 100?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -1\/6, 2 in ascending order.\nAnswer: -3, -1\/6, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y. Let u(p) = 2*p**2 - 43. Determine u(q(o)).\nAnswer: 50*o**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxww when four letters picked without replacement from xxwshxwwxwsswwwwww?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2312, -3575, -4840, -6107, -7376, -8647, -9920?\nAnswer: -11195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 2508*p - 32764. What is o(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {o: 4, e: 2, z: 3, y: 1, q: 1, b: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7)*41 - ((-516)\/(-301))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 5:07 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**26\/y))\/(y\/(y**21*y))*(((y*y**(-4\/39))\/y)\/y*y)\/y*y*y**(-43))**(-30) assuming y is positive.\nAnswer: y**(17980\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -72*k. Let a(m) = 4*m. Suppose 2*d = y - 51, -74 = 3*d - 6*y + 2*y. Let z(i) = -i. Let o(j) = d*z(j) - 6*a(j). Calculate c(o(u)).\nAnswer: -144*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/196 and 79\/56.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*b**4 - 52*b**3 + 24*b**2.\nAnswer: -4*b**2*(b + 3)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/129709 and -25\/137.\nAnswer: 17770133","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -6, -449, -39, 1, 14 in descending order.\nAnswer: 14, 1, -1, -5, -6, -39, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74155 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 9*u. Let p be (-1 + -2)*(-1)\/(6\/(-44)). Let a = -14 - p. Give r(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*c**2 + 0)*(1 - 3*c**2 + 0 - 5*c**2) - 2*c**4 - 2*c**4 + 5*c**4 to the form g + v*c + x*c**2 + o*c**3 + r*c**4 and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 89. Suppose -t = -q + 57. Let k = q + -57. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13637048*c**3*w**2 + 923489*c**3*w + 2*c**3 wrt w?\nAnswer: 27274096*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1785741300 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) - ((sqrt(252) - (sqrt(252) + 0)**2) + sqrt(252) - sqrt(7) - sqrt(7))).\nAnswer: -9*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (14 + -15)) + 1 + (0 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -8*d**4 - 300*d**3 - 2736*d**2 + 1444*d = 0.\nAnswer: -19, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2560272 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.3. Let x be (0 + (-3)\/(-4))\/(114\/(-76)). Put -2, t, x in descending order.\nAnswer: t, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2258754*b*o**2*v**2 - o**2*v**2 + 639*o**2*v - 46321*v**2 wrt b?\nAnswer: -2258754*o**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 155.73 + -10.53. Let k = -145 + c. What is the smallest value in -3, 0.3, k, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14230 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n - 3*n)*(16 - 4 - 1).\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (-2 - -5 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72272284?\nAnswer: 2, 7, 31, 53, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8088.858 at most as big as 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -114*y**3 - 4*y**2 - 5*y + 162. Let w(d) = 171*d**3 + 6*d**2 + 8*d - 243. Let f(o) = 8*p(o) + 5*w(o). What is the third derivative of f(c) wrt c?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -u - 12, 3*k - 3 = 3*u - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4942.109 weeks in hours?\nAnswer: 830274.312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 9*p**2 - 6*p**2 + p**5 - 8*p**2 - 13. What is the second derivative of q(w) wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -547481*q**5 + 481*q + 169 wrt q.\nAnswer: -10949620*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 8:28 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 14*u + 1. Let x be m(7). Let z = 64 - 29. Let c = z + -34.8. What is the biggest value in c, -1, -3\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 2\/7, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1440*h**2*o*w**3 - 9*h**2*o - 192*h*o*w**3 - 67*h*w**3 - o*w**3 wrt h.\nAnswer: 2880*o*w**3 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1608 + 3493 = -322*d - 2945 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12257*a + 2*a**2 + 49 + 12257*a.\nAnswer: 2*a**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 254240003 (base 6) to base 4\nAnswer: 102330132003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p + 356593 - 356593.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 20*o - 117. Let n be l(6). Let g(x) be the third derivative of -1\/15*x**n + 0 - 1\/60*x**4 + 11*x**2 - 1\/600*x**5 + 0*x. Find b such that g(b) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204155162?\nAnswer: 2, 167, 223, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-4)*o))**(1\/9) assuming o is positive.\nAnswer: o**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**0*h))\/h)\/((h\/(h\/h**(2\/11))*h)\/h))**35 assuming h is positive.\nAnswer: h**(-455\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 1:41 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 37*c + 2. Let o be s(0). Solve -2 = o*k - 2*u, -k + 3*u + 17 = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2652\/(-4641) - (-165)\/(-252)*-1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206664?\nAnswer: 2, 3, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 76. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-63))\/((-24)\/324)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 3. Suppose -243*h = -240*h + 6. Let c be (9\/(-27))\/((h - -1)\/(-18)). Determine m(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-4)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -297*f*k**3*p**2 - 2*f*k**3 - 8*f*k*p + f*p**2 + 2*k**3*p - 2*k**3 - 84*k**2*p wrt p?\nAnswer: -594*f*k**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178229 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 302, 941, 2084, 3875, 6458?\nAnswer: 9977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1442? (a) 2\/9 (b) 497 (c) 6\/11 (d) 1\/2 (e) 1\/7 (f) 51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 2*a**3\/3 + 4*a**2 - 26*a. Suppose 2*f - 70 = -60, -c = 3*f - 13. Let r(q) = 2*q + 4. Determine c*j(i) + 5*r(i).\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2597 - -389. Suppose -2178 = -4*a + o. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2554 and 37.\nAnswer: 36.7446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2212102 - -133?\nAnswer: 2212301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 223823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 572 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.127723 millimeters in meters?\nAnswer: 0.009127723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 16*v**2 + 7*v - 9. Let j be a(-9). Let u be (-40)\/(-6)*(-126)\/(-28). What is the greatest common factor of u and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m - 8 = 31*m + 2*z, 4*m + 10 = -2*z. Which is the closest to m? (a) 3 (b) 4 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -524\/17, 13, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 611752723.571\nAnswer: 611752744.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 8:42 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 35 = 2*u + 11*k + 98, -2*u = -k + 21 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 + 1606*d**2 - 1631*d - 299626. What is v(-536)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1719845 plus -31859?\nAnswer: -1751704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -339 + 153. Let n = 346 + b. Let l = n + -2081\/13. Are l and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*k - 2 = 5*i, 0 = i + 4*k + 4. Suppose 0 = 5*h - i*f - 101, -2*h + 26 = -0*h + 2*f. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 2*h**2 - 3*h**2 + 328 - 12*h**2 - 328 + (3*h**2 + h**2 - 3*h**2)*(-3 - 3 + 5) to o*h + z + s*h**2 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 30252.18 kilometers?\nAnswer: 30252180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 50*z - 844. Let w be u(17). Solve -w*h = 72 - 78 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + 25. Suppose 44 = 5*y - 4*m - 44, 5*y - 2*m - x = 0. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2305 is divided by 133?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/14)\/(5\/10)*3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7*q - 5 - q + 2 - 2 - 2*q + q + 2*q + (2 + 4 - 5)*(5 + q - 5) + 0*q + q + q - 2*q + 2*q + q - 2 + q + 2 + 0*q + 2*q - q)*(6 - 3*q - 6).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00526 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 12 = -7*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 0*k**3 - 6 + 0*k + 0*k**4 - 21\/5*k**5 - 5\/2*k**2. Find the second derivative of m(n) wrt n.\nAnswer: -252*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 637153327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 30.15.\nAnswer: -9.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*t = -3*j - 19813, 26420 = -4*j + 4*t. Let u = j - -66111\/10. What is the common denominator of 2\/2 + 48\/14 and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 5*f = -22*y - 85, -y - f + 15 = 0. Solve -19*k + 3 = -y*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 611*n - 525*n - 20009018. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**3\/7 + 88*g**2\/7 - 96*g = 0.\nAnswer: -28, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20a9 (base 15) in base 8?\nAnswer: 15375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-5)*w*w\/((w**(12\/11)*w)\/w)*w*(w**(-3\/4)\/w)**(-7\/2) assuming w is positive.\nAnswer: w**(355\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*v + 49 = -7*v, -2*v - 78 = 2*n. Let t be 3 + -1 - (-72)\/n. Suppose -5*c = 5*o + 20, 6*c - 2*c + 5*o = -21. Which is bigger: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**4 - 15*f. Let s(c) = c - 2*c + c - c. Let v(l) = -b(l) + 12*s(l). What is the second derivative of v(p) wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 = 0, -5 = -2*q + 3*c + 17. Suppose u + p = -0*u + q, 2*p - 82 = -5*u. Let n = u + 44. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*f - 18*f**3 - 81*f**2 + 89*f**2 - 236*f.\nAnswer: -18*f**3 + 8*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/69 and -73\/1296.\nAnswer: 29808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 - 98.9. Let w = n - -0.9. Let f(a) = a**3 - 3*a**2 - 2*a + 3. Let i be f(3). Put 0.4, w, i in increasing order.\nAnswer: w, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + -803\/6. Let m(t) be the second derivative of -1\/3*t**3 + a*t**4 - t - 2*t**2 + 0. Factor m(d).\nAnswer: 2*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -0.06 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**4 + 70*x**3 - 260*x wrt x?\nAnswer: 24*x**2 + 420*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 5872418?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(1 - 1 + 2*h) - 2 + 2 - 2*h + (h - 3*h + 0*h)*(-2 + 2 + 1) + h - 4*h + 4*h in the form p + j*h and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 452404 - -4?\nAnswer: 452412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 3*n + 59)*(5 - 5 + 3*n) + 3*n**2 - 5*n**2 + 0*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/6 + (2 - (8 - 4)). What is the nearest to -1 in -2, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122.767*10.52.\nAnswer: 1291.50884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -376273 and 0.9.\nAnswer: -338645.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145976*j**3 + 206735*j**3 - 31256*j**3.\nAnswer: 321455*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 30*x**2 + 139*x - 33. Let t be q(-24). Solve -21*w - t = -50*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899815.\nAnswer: 5, 7, 47, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550220733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/(-27) - 3*4\/54.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1984*b**3 - 4028*b**3 - 4251*b**3 + 13278*b**3.\nAnswer: 3015*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 1.698, 777, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 82 - 14. Let z = 16 + j. Let u be (4\/(-44))\/(-1 - -2). Is u greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + j - 724, 5*d + 17*j - 916 = 13*j. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*12\/(-36)*2*1. Let i(l) = -6*l + 3. Let t(q) = 4*q. Let y(g) = 5*g. Let r(v) = 6*t(v) - 5*y(v). Let x(n) = i(n) - 15*r(n). Determine x(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 10*y**4\/3 - 20396*y**3\/15 - 22082*y**2\/15 - 1636*y\/15 = 0.\nAnswer: -1, -2\/25, 0, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*a**4*i**2 - 8*a**4*i + 2*a*i**2 - 498*a + i**2 wrt a.\nAnswer: 168*a**2*i**2 - 96*a**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**2 - 5. Let t(x) = 10*x. Let j(i) = 2*i**2 - 7*i - 5. Let b be j(6). Let q = -36 + b. Give q*s(l) + 2*t(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6417570 divided by 2?\nAnswer: -3208785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/2, -3, -0.2 in ascending order.\nAnswer: -3, -1\/2, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -250112330 (base 6) to base 8\nAnswer: -22141436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 (base 14) in base 9?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3 - 14*g**2 - 652*g + 88931 with respect to g.\nAnswer: 3*g**2 - 28*g - 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -4 (b) -2\/5 (c) 43 (d) 0.5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**3 + n**2 + 25*n + 31. Let j(b) = 31*b**3 - 6*b**2 - 126*b - 155. Give -3*j(u) - 16*z(u).\nAnswer: 3*u**3 + 2*u**2 - 22*u - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -11571054.6 to the nearest 1000.\nAnswer: -11571000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Let a(d) = -27*d. Let i(y) = -2*a(y) + 66*o(y). Let x(v) = 3*v. Calculate x(i(m)).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 18. Let o be 23\/(-7) - (-4)\/a. Let p be (-106250)\/((-573)\/192 - o). What is p rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126838 is divided by 47.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 1150?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.119 to 3 dps.\nAnswer: 0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.001 - -0.301. What is the closest to -3 in p, -8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16746 divided by 29?\nAnswer: -16746\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71268 and 81?\nAnswer: 1924236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8637 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1197 + -1195. Let j = -4 + 5. Sort w, -4, j in descending order.\nAnswer: w, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204468623 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6 = -11. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*n + 2 = 0, 13*n = 2*c + 10*n - 13. Determine b, given that -35*b - 2919 + 2919 + c*b**2 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4 = 16. Suppose l*u - 300 = -2*u. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by (25\/7)\/((-36)\/(-252))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -48 - 38\/9*a + 2\/9*a**2 = 0.\nAnswer: -8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 6:29 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -49538*m + 2080600. What is y(42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*j - 4*l + 12, 0 = 2*j - 4*l + 12. Suppose 4*f - 12*f + 152 = j. Let v = -16 + f. Solve v*k + k + 12 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*v**3 - 665*v**3 + 2684*v**3 - 676*v**3 - 708*v**3.\nAnswer: -27*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -11*z**4\/24 - 29*z**3\/6 - 62*z**2. Let o(h) = -2*h - 5. Determine 34*o(u) - 6*s(u).\nAnswer: -2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 211560 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -51, 124, 315, 528, 769, 1044, 1359?\nAnswer: 1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.5 (c) 0.3 (d) -1004\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -313\/5 - -63. Let f = -2 + 2. Suppose 0*y + y - 1 = 0. Which is the closest to z? (a) -4 (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 46, 88, 140, 208, 298?\n\"Answer: d**3 - d**2 + 38*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -97427037928319 and -6?\nAnswer: 97427037928313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 942.2994 weeks in hours?\nAnswer: 158306.2992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2873456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = 25*i - 18. Solve 0 = 3*s - i*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crr when three letters picked without replacement from cccccccrrrcrcccrcc.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/6 (b) 1476 (c) -4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 30*a + 24*a)*(5*a + 0*a - 2*a).\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 300442.9.\nAnswer: 300437.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.9 plus 6?\nAnswer: -112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/18 and 115\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwpw when four letters picked without replacement from {w: 7, p: 1, f: 2, q: 2}.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(19))**2 + -5 - ((sqrt(228)*1)\/sqrt(12) - sqrt(228)\/(sqrt(12)*1)).\nAnswer: -20*sqrt(19) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 133937, 267811, 401685?\n\"Answer: 133874*g + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (79487*h - 39019*h - 33154*h)*(2 - 2*h - 2) + (2*h**2 - 4 + 4)*(-3 + 1 + 0) as z + p*h + b*h**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6165 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**3\/6 + 5*g**2\/2 + g. Let c be k(-4). Suppose -j + 0*j = c. Which is smaller: j or -2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/(-8) + (-1)\/4. Suppose -3*x = 11*h - 15*h + 40, 69 = 7*h - 5*x. Solve -h - v = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9.3 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o - 4 + 4)*(-2 + 1 - 1) - 27 - 23 + 2048*o - 2041*o in the form k*o + b and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**2\/2 - 491. Let n(y) = -2*y - 7. Give n(d(z)).\nAnswer: -2*z - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 141, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8 + 2 = 5*v, -5*z + 10 = -4*v. Let k = -31 - -46. Suppose 3 = 5*x + 3*o, -x - 2*o + k = -5*o. Solve 5*y - x*y - 10 = v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5043960 is divided by 891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -4647\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(((2*sqrt(704))**2 - sqrt(704)) + sqrt(704)) - (-3 + sqrt(704)*-1)) + 4)*-5.\nAnswer: -40*sqrt(11) + 42205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(5\/(-15) - 1\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0491 - -0.3491. Let z(o) = o**3 + 5*o**2 - 3*o + 5. Let q be z(-5). Let p = 37\/2 - q. Which is the third biggest value? (a) u (b) -1\/6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30667505 is divided by 13162?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n**2 + 146*n - 315. What is the units digit of s(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.5 (b) -4 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + -0.01. Let c = 1 + u. Let h = -0.5 + 0.3. Is h <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (4 - 4)) + 1 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 10*f**2 - 5*f**2 - 40*f**3 - 15*f**3.\nAnswer: -55*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 - (-5)\/((-100)\/(-32)). Let l(d) be the third derivative of 0 - 1\/6*d**3 - 3*d**c + 1\/24*d**4 + 0*d. What is the derivative of l(f) wrt f?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 3*v - 3. Let i(z) = -2*z**2 + 5*z + 5. Let r(w) = 6*i(w) + 10*y(w). Let l(m) = 13*m - 150 + 150. Calculate l(r(f)).\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8612119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -40. Suppose -4*y + 5*y - 42 = v. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) 1\/3 (b) 5 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30242277 + 16?\nAnswer: 30242315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*(1 + 21). Let q = -13 - u. Let x be (q - 6\/(-2))*-4. Put 0, 3, x in descending order.\nAnswer: 3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/10 + 1)\/((-10)\/50). What is the nearest to -2 in -0.2, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*m - 0. Suppose 1 = m*p - 2. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2331 by 5.\nAnswer: 2331\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - 45\/(-12))*(11 - -1). Suppose -4*u + 7 + 1 = 0, o + 4*u - n = 0. Let w be -3 + (o - 4 - 794). Round w to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6566000 rounded to the nearest one hundred thousand?\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {h: 2, y: 4, i: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -11*i**3 - 10*i**2 - 25*i + 5. Let k(l) = 5*l**3 + 5*l**2 + 12*l - 2. Let o(g) = -13*k(g) - 6*x(g). Determine o(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -11, -44, -113, -230?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + b - 7, 21 = 3*k + 6*b - b. Suppose 5*o - 4*c = 86, 0*o = k*o - 5*c - 31. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 8:53 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-355)\/(-21) + 8\/84. Suppose 779 = 4*o + 39. Let d = 304 - o. Calculate the highest common factor of a and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6752405 to the power of 1\/2, to the nearest integer?\nAnswer: 2599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53613913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**8\/2240 + 13*r**6\/720 - 7*r**5\/60 - 9*r**2. Let u(w) be the third derivative of f(w). Differentiate u(x) wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126645 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxn when three letters picked without replacement from {f: 1, w: 5, b: 1, x: 1, n: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m - 1. Suppose -2*d + 22*d - 880 = 0. What is the remainder when d is divided by u(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 - 124*y**3 + 26*y**3 + 30*y**3 + 25*y**3 + 36*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 58*n**2 + 1620*n - 46. Give s(-28).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*j = -816*j + 14766 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b = 32*b - 15. Solve 5*o + 5 + 9 = -3*q, 6 = -b*q - 4*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 15 (b) 1\/6 (c) -0.197\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7681 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/18*8\/(-312)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564 + 6*l**3 + 0*l - 5*l**3 + 0*l + 596.\nAnswer: l**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356 - 227 = -2*w - 2*s - 597, 3*w + 5*s = -31 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/8)\/(12\/32). Let i be (-2)\/(-5) - (-94)\/a. Let s = i + 14. Solve s*g - p + 4 = 0, 3*g + p = -2*g - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*c - 4394 = -4914 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -255486.\nAnswer: 5\/36498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:08 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 7*m - 7. Let v(s) = -3*s**2 + 13*s + 15. Let k(c) = 5*b(c) + 3*v(c). What are the prime factors of k(-8)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjij when four letters picked without replacement from xjjjiii.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 2. Let o = 0.22 - -0.98. Let m = 0.8 - o. What is the second smallest value in m, 5, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 12. Suppose 0 = -2*l + 4*l - 6. Suppose l*r + 9 + 27 = 0. Let w be n(r). Solve w = -4*g, 5*a - 7 = 4*g + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 29*t + 26 = 0. Calculate the greatest common factor of 208 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:23 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920000 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -7 - ((-304)\/(-104) + 4)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-four fifths of a meter?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18440*m + 2 + 18423*m - 2.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Calculate the common denominator of -21\/2 and 2*d\/72*-82.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/87717 in -4, 1, -3\/5, 0.02, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4\/2 + 2375*u**3\/2 + 1220*u**2 - 14280*u = 0.\nAnswer: -4, 0, 3, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**25*b**(21\/5)*b*b assuming b is positive.\nAnswer: b**(161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 4. Let l be (8\/x)\/(16\/(-40)). Solve 5*r + 0*c + 15 = c, -4*r + l*c = 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94153883154 - -16580496377. Let z = -5083694328515049\/65534 - h. Let r = z - -6\/4681. Find the common denominator of r and -17\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2160*b - 433*b + 738*b)*(-2*b + 0*b + 4*b).\nAnswer: 4930*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -6*j - 33 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 2463009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126809, 126810, 126811?\nAnswer: 126812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*f*v**3 - 6147*f*v - 18*v**3 + 2*v**2 + 5772*v - 2 wrt f.\nAnswer: 25*v**3 - 6147*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 - 1052.552\nAnswer: -1055.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107 or 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*q**2 + 271*q**2 + 4 - 144*q**2 - 4.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1)\/((-2)\/4). Suppose 64 = -g*p + 5*u, -2*p + 0*u - 64 = 3*u. Let y = -17 - p. Solve -4*c = -y - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 7. Let f = 36 - x. Suppose 2*m = f*m - 65. Solve -m = -4*g - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2049*y + 1563390. What is m(-763)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*z = -116*z + 9. Solve -z*l + l = -5*a + 10, -10 = -5*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -147570 to the nearest 1000.\nAnswer: -148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2950 by -59.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(57)\/(-1*sqrt(243) + sqrt(3))*-3.\nAnswer: 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6148792 + 17600083. Let n = -16051291 + z. What is n rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*o**4 + 2*o**3 + 489*o wrt o.\nAnswer: 372*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 4*k - 9. Suppose 0*f = -5*f + 120. Suppose c = 4*c + f. Is m(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcwwwtwccwccccwcw. Give prob of sequence ccw.\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n**3 + 53*n - 3*n**4 - 205624*n**2 + 205624*n**2 to i*n**2 + w + q*n + m*n**3 + x*n**4 and give q.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18464*b**3*t**3 - 25*b**3 - 13*b**2*t**2 + 5 wrt t?\nAnswer: -110784*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24712.\nAnswer: 2, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g. Let m(a) = -a**2 + 28*a + 203437. Calculate m(v(u)).\nAnswer: -4*u**2 + 56*u + 203437","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r**5 - 717*r**4\/4 - 285*r**3 + 3195*r**2\/2 + 1836*r + 567\/4 = 0.\nAnswer: -3, -1, -1\/12, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1912242 by -6.\nAnswer: -318707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d + 90. What is s(19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 328.\nAnswer: 20664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Let y(m) = 4*m + 10. Let i(x) = -11*x - 9. Let h(q) = 7*q + 6. Let b(k) = -8*h(k) - 5*i(k). Let f(n) = 10*b(n) + 3*y(n). What is f(o(l))?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 197\/6 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1)**(-14\/11)\/((y\/y**(-6\/11))\/y*y*y*y**(-2\/5)*y*y))**(-1\/31))**(-3\/17) assuming y is positive.\nAnswer: y**(-894\/28985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/2 (b) -3\/7 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2940 and 8940.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16774269 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1414114 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {x: 5, q: 1, h: 4, o: 3, j: 1, r: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-357)\/(-15) - (2 + 11\/(-5)). Let u = 12 + -8. Let l be u\/(-10) + g\/10. Solve p + 2 = l*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 991746 and 21298.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**11*v)\/v**7)**(-2\/55) assuming v is positive.\nAnswer: v**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7637540 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 38*l**2 - 558*l + 851. Determine t(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 58806\/(-7326) - (-2)\/74\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(153) + 0)*1 + (sqrt(153) - -3*(-1 + sqrt(153)))))**2 - (sqrt(153) + (sqrt(153)*-1)**2)*2*3*-3.\nAnswer: -1386*sqrt(17) + 64098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1135491 and 3336?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:16 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1500, -569, 976, 3129, 5884, 9235?\nAnswer: 13176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252241?\nAnswer: 11, 23, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 363*b - 4614*b + 178542 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 7.9. Let x = -0.09 - 0.11. Sort l, x, 3 in increasing order.\nAnswer: x, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -19*x - 32. Let g be c(12). Let k = g + 177. Let p = k + 143. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:13 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 456?\nAnswer: 7\/456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/3 of a hour in minutes?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i**2 + 5*i. Let h(f) = 114*f**2 + 101*f**2 + 21*f - 170*f**2. Give 5*h(m) - 21*o(m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6 - 2*k**2 + 4*k**2 + 3*k**3 + 8 + 0*k**2. Let t be x(2). Let g be (528\/(-55))\/((-6)\/20). Is g greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-1 - (-12 - -13)) - 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118341.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111100011 + 10?\nAnswer: -110111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.038?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36677057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 159\/8. Suppose -2*y = 4*y + 420. Let h = 72 + y. Which is the nearest to h? (a) 0.3 (b) m (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6351140753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-21)*2\/6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - m = 18*o + 12, -5*m = -7*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 183207 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n. Let p(u) be the second derivative of 7*u**3\/2 + 2*u. Let j = 10 - 5. Suppose 10*i - 110 = j*i. Give i*h(v) - 2*p(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1020212011101 (base 3) to base 13\nAnswer: -1a4445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 507 + -506.135. Let t = s - -0.135. Sort -6, t, -1.\nAnswer: -6, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.75 + 0.7. Let x = o - 4.95. What is the second biggest value in -1\/6, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1257 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 4:38 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 20 + 2 = 2*z, -5*x + 5*z = -30. Suppose 13*d + 145 = 18*d. Find the first derivative of -29*c + d*c + c**x - 2 wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/7 - 92871*o**2\/7 - 2156394960*o\/7 - 6468349068\/7.\nAnswer: -(o + 3)*(o + 46434)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6998 divided by -45?\nAnswer: -6998\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4))**(2\/3)*((s**5*s*s*s*s)\/s)\/s**(-5)*(((s**(1\/4)*s)\/s*s)\/s**(-1\/9))\/(s**(-2\/9))**(-42) assuming s is positive.\nAnswer: s**(187\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 5*w + 2. Let t be l(-6). Let n = -13 - -7. Let d = t - n. What is the least common multiple of d and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31628*o**3 - 45*o**2 - 37*o**2 + 31629*o**3)*(3*o**2 + 5*o**2 - o**2).\nAnswer: 7*o**5 - 574*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 s, and 1 t when four letters picked without replacement from {b: 4, p: 6, n: 2, s: 3, t: 1}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5*z - 6*z + 2 = 0, 2*z - 14 = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 487238473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*u + 102168201 = -8497240. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*i**3*m**2 - 616*h**2*i*m**2 + 19*h*i**3*m - 3*h*i*m - 105*i**2*m**2 wrt h.\nAnswer: 4*i**3*m**2 - 1232*i*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y, 0 = 2*t - 2*y - y - 1. Let g be (-15)\/t*(-3)\/18. Let w = 22180 + -199622\/9. Which is the closest to g? (a) 5 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169\/7 - 24. Let q = 0.138 - -1.862. Which is the closest to 0.1? (a) q (b) 0.02 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31317054?\nAnswer: 2, 3, 19, 274711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, f: 3}. What is prob of picking 1 y and 2 f?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1110101?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s + 44*s - 5*g + 20 = 0, 4*s - 20 = -5*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180 + 183. Which is the closest to d? (a) -1\/7 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-20)\/6)\/((-38)\/57).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, 11, -3 in increasing order.\nAnswer: -3, 11, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169 + 224. What is the greatest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 21*k**2 - 33*k + 5. Give c(3).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**4 + 6840*g**3 - 494012*g**2 - 4454040*g + 4941216 = 0. Calculate g.\nAnswer: -9, 1, 84, 1634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -474*h**5 - 36*h - 7.\nAnswer: -9480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 15*h + 3. Let z be y(4). Let t be 4\/(-6) + (-256)\/(-6). Calculate the greatest common divisor of t and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -651232 (base 7) in base 3?\nAnswer: -12202102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1.2, -1\/19, 3?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -754, -3, -0.24 in decreasing order.\nAnswer: -0.24, -3, -754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -1424?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/10)*s**(10\/13)*(s*s*s**(-3)*s)**(-24) assuming s is positive.\nAnswer: s**(113\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*y - 4. Let o be (1 - -1) + y - -3. Suppose 15 = o*f + 3. Calculate the highest common factor of f and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 558 - 312. Let l = z - 147. Let w = l - 59. Solve 5*j - w = -4*f, -2 = 5*j - 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a - 12 = 0. Let p = -85 - -85. Let m be 4\/(-8)*30\/(-3) + p. Solve -m*y - 13 = a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 59 = 85. Solve -5*m - o - 14 = q, -16 = 4*q + 2*m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-3 + 3) - 1) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 786*x + 901. Calculate u(3).\nAnswer: 3259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*j - 81. Let a be 103\/5 + (-6)\/(-15). Let f = j - a. Calculate the remainder when f is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29305 divided by -5861?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 0. What is the highest common factor of 20 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10175 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + 7*k**3 + 60 - 60.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*u, 3*n + 36*u = 41*u - 147. Let z be (-4536)\/(-630)*(-10)\/n. Suppose -2\/11*p**2 - 16\/11*p + z = 0. What is p?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/2 (b) 0.3 (c) 2 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 223597*g**2 - 495684*g.\nAnswer: 447194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 112 = -0*z - 2*z, f = 5*z - 272. Calculate the highest common factor of z and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 434*b + 2601. Let s be o(-6). Let w = 34 + -46. What is the smallest value in -3\/5, w, s, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76478.56nm in kilometers?\nAnswer: 0.00000007647856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 41 = 15*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {n: 7, r: 5, p: 2, e: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223 (base 6) to base 5.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 30*k - 4*o = 52, -36 = -k + 4*o. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 4, -5*r + 5*w = -16 - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 5 + -5 + 1*(-2*sqrt(72) + 1))*-6 + 1)**2.\nAnswer: 2736*sqrt(2) + 10729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**5\/30 - l**4\/4 - 5*l**3\/3 - 3. Let u(s) be the third derivative of i(s). What are the prime factors of u(-7)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -603 + 620. Solve -h = -3*q + 2*m, -16 = -q - 2*q + m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -302320303130?\nAnswer: 302320303131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.296997358 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -3, 3211, 2 in decreasing order.\nAnswer: 3211, 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + 3*-1*sqrt(19))*5 - (3*-3*sqrt(133))\/(sqrt(700)*2 - sqrt(700)).\nAnswer: -141*sqrt(19)\/10 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*o = -4*z + 93*o - 38, -z - 2*o = -29 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 12*n - 33. Calculate a(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) - 11\/(-2). Sort -5, 4, w in ascending order.\nAnswer: -5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 0 + 2. Let b = 263 + -323. List the prime factors of (210\/(-18))\/(b\/(-63) + p).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 16. Suppose 0 = 4*x + w - 45, -x + 23 = 5*w - 12. What is the smallest common multiple of k and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 less than 125\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1409*h**2\/3 + 7991*h - 340\/3.\nAnswer: -(h - 17)*(1409*h - 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.11152305 - 0.41152102. Let b = 12.3 - 13. Let z = o + b. What is z rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*-0.4.\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1)*(-15)\/15 - -3. Solve 4*k - 3 = p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9786408*n*s**4 + 2*n*s**3 - n*s + 12369*n - 5929*s**2 wrt s.\nAnswer: 234873792*n*s + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 4, j: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12537\/4, 2\/7, 1.\nAnswer: -3, 2\/7, 1, 12537\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31, -35, 5, 107, 289?\n\"Answer: 3*g**3 + 4*g**2 - 37*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -0.9. Let w = 46 - 45.125. Let o = w + -0.475. Sort m, o, -8, 1\/4 in descending order.\nAnswer: o, 1\/4, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197313797.\nAnswer: 79, 317, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = h. Find k such that -15*k**3 + k**2 + 5*k + 10*k**2 - 10 + 15*k**2 - 6*k**h = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4579b2 (base 13) to base 4.\nAnswer: -12101213132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 162?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -10. Suppose 4*s = s - u + 29, -s + k*u = 12. Let o = s - -43. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*c**5*j + c**5 + 2960*c**3*j + 277*c**2*j + 3*c - 60*j wrt c?\nAnswer: 540*c**2*j + 60*c**2 + 17760*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/(-168)*-2 - 3\/(-21).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 134, -5, 37.\nAnswer: -5, 37, 53, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 9. What is the nearest to q in 4, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 43 + 85*s**3)*(0*s - 3*s + 2*s) - 60*s**4 - 87*s**4 + 22*s**4.\nAnswer: -210*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 31218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451 + 676 = -161*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-189)\/(-126)*(-82)\/(-3) and 27.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8779781ml to litres.\nAnswer: 0.0008779781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 4:53 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(190)\/(sqrt(40)\/(sqrt(4)*-2)))**2 + (sqrt(2736)*2 + 1)**2 + 0 + -5.\nAnswer: 64*sqrt(19) + 11032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1963 divide 256428653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-730)\/(-146))\/((-165)\/(-36))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {t: 6, p: 1, u: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -15095.2 + 15095. What is the nearest to 731 in -3, 3\/4, n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165470 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aarraaa. What is prob of sequence aa?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 2256, -75, 5 in increasing order.\nAnswer: -75, 5, 20, 2256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/20)\/(2\/(-4)*1). Which is smaller: x or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + -1 + sqrt(2736) + sqrt(2736) + sqrt(2736) + -5 + -1*sqrt(2736) + -3*(sqrt(2736)*-1*-3 - sqrt(2736))*1)**2.\nAnswer: 576*sqrt(19) + 43812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*m - 5. Suppose -12*g = 116 - 344. Solve -y - 4*r - 18 = 0, 2*y = -5*r - m - g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/6)\/(3\/(-6)). Suppose 4*u - 48 = -2*u. Suppose g + u = 3*g. Sort 3, w, g in decreasing order.\nAnswer: g, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/(l*l**3)*(l**(2\/5))**(2\/5))\/(((l\/(l*l**2))\/l*l\/(l*l**(2\/7)))\/(l**(-2\/3)*l)**19) assuming l is positive.\nAnswer: l**(3559\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6074*s - 33*s**2 + 6074*s. Let g(i) = i**2. What is n(g(f))?\nAnswer: -33*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -41, -84, -145?\n\"Answer: -9*b**2 + 2*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 26.88.\nAnswer: -2.4192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502613 is divided by 15227?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - g + 1. Let f(v) = -4*v**2 - 6*v - 3. Calculate f(t) - 3*i(t).\nAnswer: -t**2 - 3*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 990781 (base 12) in base 2?\nAnswer: 1001010000100101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*v - 6, 5*x + v + 0*v - 18 = 0. Suppose -t = -x*t + 158. What is the remainder when t is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2 + 32. Let p = -2 - m. What is the derivative of 7*u + 4*u - p*u - 1 wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 2*(-1)\/2. Suppose 2*q - 5 = g*y, 3*q - 4*y - 5 = y. Calculate the remainder when (18\/5)\/(1\/5) is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 198280 = 44975. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.29763969 rounded to three decimal places?\nAnswer: 13.298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1203, -2392, -3581, -4770, -5959, -7148?\nAnswer: -8337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/23 and -25\/3733814.\nAnswer: 85877722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -697*s. Let w(j) = -434932*j. Calculate 2497*u(l) - 4*w(l).\nAnswer: -681*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35729*-1.\nAnswer: -35729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w - 1. Let n be 1\/(1 + -3)*-16. Suppose 3*s - n = -s. Is 15 a factor of q(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1108275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -602 >= -2508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 7:55 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -944360 and -9.3592963?\nAnswer: 944350.6407037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-12))\/5 + (-80)\/192?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 2*j + 3*j)*(350*j + 428 + 3011*j - 860 + 432).\nAnswer: -6722*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + 32064\/(-456) + 21.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106147507327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0496 - 26.2504. Let x = u + 24.3. Which is the fourth smallest value? (a) -4.6 (b) 1 (c) x (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h + 4. Is u(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -140243?\nAnswer: -140245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -23*y + 22*y. Solve -5*q - 10 = 5*u, 2*q - 17 = u - y*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 36 = 2*r, 5*r - 2*r - 45 = 3*l. Find the third derivative of 2*t**2 + t**4 + 6*t**2 + r*t**4 - 8*t**4 wrt t.\nAnswer: 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/15)\/((-4)\/30). Let h(x) = x - 8. Let w be h(t). Let n = 3 + w. Which is bigger: 1\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3374 = 367*m - 17*m + 224 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a - 13. Let y be c(3). What is the smallest common multiple of 20 and y*(-18)\/(-4) - (1 - -2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*p*s**3 + 4*p*s**2 + 2*p*s - 55*p - 2*s**3 + 167026*s**2 wrt p.\nAnswer: -8*s**3 + 4*s**2 + 2*s - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -17089416 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*z - 5*n + 10*n, 0 = 3*z - 2*n - 8. Solve -2*q = -4*l - 4 - 2, -z = 3*l - 4*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 19. Let u(r) = r**3 - 3*r**2 - 4*r + 3. Let y be u(2). Is x less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5986 and 206.\nAnswer: 616558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*t + 30. Let g = -15 + t. Let c be (g + 1)\/(4\/8). Is -3 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-6)\/6 - ((-176)\/24)\/(-11)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q - 5*q = 25*q + 1314 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - z - 40. Let p = 303 + 50. Let s = -353 + p. What is g(s)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 11:09 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, -69, 1, -5 in increasing order.\nAnswer: -69, -5, -4, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2547 bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 87 (c) -0.2 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -9*m**5\/20 - 2*m**2 - 8*m - 4. Let p(n) be the first derivative of t(n). Find the first derivative of p(y) wrt y.\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6975675 and 210.\nAnswer: 13951350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 325 (base 8) to base 12\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10020, -39740, -89276, -158628, -247796?\n\"Answer: -9908*j**2 + 4*j - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 3)*(-2*t + 4 - 4) - 2*t + t - t)*(0*t**4 + t**4 - 4*t**4).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 1 + 7)*(-30 - 8*v + 12 + 18).\nAnswer: -408*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1378*f + 439581. Give d(-319).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 170 - 299 - 3*u + 167 + 5*u as x*u + q and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5824 by 8.\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92535.35t to nanograms.\nAnswer: 92535350000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -1376605 divided by 5?\nAnswer: -275321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 3933.\nAnswer: 8\/3933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 95 = 5*n, 29*n - 33*n + 38 + 38 = 4*u for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1110)\/(-5))\/(-6)*2*2. Put z, -3, 1 in ascending order.\nAnswer: z, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206592145.\nAnswer: 5, 53, 779593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*x = -76164 + 76157, 2*p + 8*x - 22 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1101 + 371. Let s = -79 + j. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533573 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 116186 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60461648 and 48412?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by -4.\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1591)\/9 - 4\/18. Let b be l\/(-9) + (-1)\/(-3). Solve -z = -6*z - b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4241023303 (base 5) in base 6?\nAnswer: -515132510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003862658 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -4*f + 98. Suppose -y = 3*x - 1253, f = -0*y + 3*y - 2*x - 3781. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (1 - (-6)\/(-8)). Suppose -y = 4*y. Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7423452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1478 and 2500037?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7492024021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112020 + -21?\nAnswer: 111333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4734934 + 101*b - 4734934 + 2*b**3.\nAnswer: 2*b**3 + 101*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23383\/9400 or 1?\nAnswer: 23383\/9400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2552\/4195 + -7\/839. Let q(j) be the second derivative of 0 + 3\/10*j**3 + u*j**2 - 9*j + 1\/20*j**4. Solve q(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-1)*(-16)\/(-160)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-237)\/(-24) - (-2)\/16. Let d be k\/6 + (-48)\/(-36). Suppose 20 = -d*r - 4*o, r + 4*r = 4*o - 12. Sort 4, -3\/7, r, -2 in increasing order.\nAnswer: r, -2, -3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 1 + 1)*((-100 - 77 - 119)*(3 - 5 - 1) + 6 - 9 + 1)*(2 - 5 + 2) in the form v + r*p and give r.\nAnswer: -1772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (2 - 87\/9). Let i = n + 9. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147972?\nAnswer: 2, 7, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 2413276?\nAnswer: -2413265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + sqrt(1088) + 2*(sqrt(1088) + -2) - sqrt(1088))**2*5 - ((sqrt(2057) + sqrt(2057)*3 + 3)**2 + 2).\nAnswer: -1224*sqrt(17) + 16117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4894.\nAnswer: 2, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2327 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4334 by -5.\nAnswer: 4334\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8*n**2 - 69*n - 2. Let z(l) = 9*l**2 - 68*l - 3. Give -3*r(g) + 2*z(g).\nAnswer: -6*g**2 + 71*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 16 = z - 43, 10*g + 7*g + 0*z + 2*z - 23 = -158 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136034 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 5545449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 5 - 3)*(2 - 2 + 2*h) - h + 5*h - h + (0 + 2 + 0)*(0 - h + 0))*(-2 + 2*h + 2).\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 6) + (-4)\/(360\/(-273)). Let j(c) be the third derivative of z*c**5 + 0 + 5*c**2 - 1\/2*c**4 + 3*c**3 + 0*c. Solve j(r) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.68259l to millilitres.\nAnswer: 61682.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -2 + sqrt(52) + 5 - (sqrt(4212) - (sqrt(4212) + 1)*-4)) + -5)**2 + -1.\nAnswer: 176*sqrt(13) + 100672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 - 1424*d**4 - 20568*d**3 + 517120*d**2 - 2929100*d + 5166000 = 0. What is d?\nAnswer: -28, 5, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -977 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40, 83, 200, 427, 800, 1355?\n\"Answer: 6*f**3 + f**2 - 2*f + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxmlmmmlmxx. Give prob of picking 3 x and 1 l.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.208 - 9.8076. Let n = a + 1.6. What is n rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14218\/41 < 347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3644415, 7288831, 10933247, 14577663, 18222079, 21866495?\nAnswer: 25510911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 8. Let o be y*1 + -8 + 1. Let v(s) = -2*s - 7. Determine v(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*n**2 + 30*n**2 + 4*n**2 + 16*n**2.\nAnswer: 157*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 104 = 223. What are the prime factors of z?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0 = 10. Suppose 0 = -5*o - 5*c - 15, -3*c = 4*o - q*c - 18. Suppose -4 = -v + o*h, -h = 2*h + 3. Solve 3*s + 25 = 4*m, -12 = -5*m + v*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 84*m**3 - 24*m + 24. Let v(o) = 2*o**2 - 155*o + 749. Let r be v(5). Let k = 30 - 25. Let x(g) = -17*g**3 + 5*g - 5. Determine k*p(y) + r*x(y).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - q - 4, 5*n - 2*n + 2*q - 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u + 2. Let w be ((-33)\/2)\/(1\/u). Calculate the greatest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7026 - 7026 - 776*c.\nAnswer: -776*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 1 + 2*t - 112*t**2 + 29*t**2 + 42*t**2 as d*t + y + q*t**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*p - 45 + 45 + 0*p**3 - 2*p**3.\nAnswer: -2*p**3 + 41*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 27*a + 245 + 311 + 496 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l, 0*m + l = 4*m + 5. Let u be (42\/((-49)\/(-7)))\/2. Let v = -25\/13 - -214\/91. What is the closest to m in v, u, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 + 0.5. Let j = 1 + f. Let r = 2453 - 2452.7. Put j, r, -0.4, 0 in decreasing order.\nAnswer: r, j, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*m + 315 - 163 - 153 + 4*m**3 as z*m**2 + j*m**3 + f*m + v and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 20 - 8. Suppose u + 2 = g. Is u\/(-5)*25\/(-10) 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 1945109829 to the nearest integer?\nAnswer: 44103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**2 + 58*y + 57. Suppose -r + 24 = r. What is the remainder when r is divided by b(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 0 - 3\/2*a**2 + 3*a - 1\/2*a**3. Let q be w(-5). Calculate the greatest common divisor of q and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*k + 30, 0 = -4*d - 5*k + 4*k + 15. List the prime factors of -7 + d + -1 - -82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(4 + -2*sqrt(448))*-6.\nAnswer: -75 + 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 653834 a multiple of 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 225, -4, 9 in decreasing order.\nAnswer: 225, 9, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 4*a + 2. Let i be w(-4). Let k(r) = -r**2 + 13*r + 5. Let s be k(13). Solve 11 = -i*z + s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:32 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -856 - -856.4. Which is the closest to 3? (a) 5\/7 (b) d (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 x when three letters picked without replacement from utxuuttuzwpx?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8 + (-284)\/(-16). Let a(b) = -v*b + 12 + 5 + 15*b. List the prime factors of a(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -28 in decreasing order.\nAnswer: 5, 3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 27*g + 17. Let x(t) be the first derivative of 81*t**2\/2 + 52*t + 2. Let v(u) = 7*w(u) - 2*x(u). Let c(f) = -7*f - 4. Calculate -15*c(a) - 4*v(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 10*s + 11. Let k be y(-8). Let w(i) = -2*i - 5. What is the units digit of w(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 18*s**2 - 47*s - 366. What are the prime factors of n(-34)?\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1142*g**3*u**3 - 713*g**3*u - 4*u**4 - 4*u wrt u?\nAnswer: 6852*g**3*u - 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -c5910c (base 13) to base 7\nAnswer: -54153234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*d**3 + 7*d**4 - 15*d**3 + (3*d**3 - 4*d + 4*d)*(0*d + d - 2*d) + (5*d**3 - 5*d**3 + 2*d**3)*(2*d - 5*d + 5*d) + 0*d**4 + d**4 + 2*d**4.\nAnswer: 11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -312*q + 648. Is 84 a factor of b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123000000 rounded to the nearest one million?\nAnswer: -123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**3 + 9*j**2 - 9. Let u(x) = 9 - 36 - x**2 + 16 + 12. Let r = 4477 + -4495. Give r*u(z) - 2*i(z).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 0. Let b(y) = -131*y - 13. Let v be b(4). Let u = 518 + v. Sort -5, u, g in increasing order.\nAnswer: u, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x. Let g(k) = 1193*k**2 - 560*k + 1238*k - 678*k. Determine g(w(n)).\nAnswer: 76352*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r**3 + r. What is the tens digit of s(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*g - 4*w + 4 = 0, 4*w = 3*g. Suppose -2*x + 6*x - 128 = 0. Let i = 31 - x. What is the nearest to i in 3, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4*x - 3 = -7, -3*j = -2*x - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178450 and 1245.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -4*g - 20, 4*g - 5*f = 4 - 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*36\/(-380)*(-125)\/(-75)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6074761, 6074754, 6074745, 6074734, 6074721?\nAnswer: 6074706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61613 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -43435, 5 in increasing order.\nAnswer: -43435, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.93 - -0.07. Let l = z - 8. Which is the closest to l? (a) -3 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -0.3, -1, 0 in increasing order.\nAnswer: -32, -1, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136 (base 11) to base 8.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + m - 1. Let a(z) = 9*z**2 + 11*z - 14. Let o(d) = 2*a(d) - 22*i(d). What is the derivative of o(u) wrt u?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 6*o - 10. Suppose -8 = o*b - 4*b. Let g(q) = 4*q + 5. Calculate the remainder when g(b) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -570 - 372. Suppose 0 = 125*z - 122*z - g. List the prime factors of z.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 26*x + 175. Let a be s(-13). Solve d = 3*m + m, -2*m = -2*d + a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(153\/(-30))*(38 + -41).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 131 - 31. Let g = -95 - t. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 615 + 975 = 0. Suppose 0 = 2*b + 39*a - d*a - 157, 0 = -b - 2*a + 86. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/(44\/(-11))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*-2 + 0. Let q be 0*(g + 2 - -2). Suppose 0*s - s + l = -4, -4*s + 5*l + 13 = q. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p - p)*(4*p - 4*p - 2*p)*(17*p - 53*p - 92*p).\nAnswer: -512*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c + 9300*c**3 - 13*c + 1 + 34*c.\nAnswer: 9300*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 368919 and 1746354.\nAnswer: 937792098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -325*g - 18224. What is x(-56)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 179 = -c - 9759, 38324 = 4*l - 5*c. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + ((sqrt(63) + 0)*1)**2) + 5 + (sqrt(28)\/((-1*sqrt(44))\/sqrt(11))*-6)**2.\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 22*g + 110*g - 68*g + 287*g + 24*g to the form f + c*g and give c.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 27*k - 11 + k**3 + 7*k**2 - 17*k + 4*k**2 + 36. Let m be o(-10). Solve -6 = -m*u + 23*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875898 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.010308 centimeters to meters.\nAnswer: 0.02010308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.93277 * 3.\nAnswer: -5.79831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/5)\/(95\/(-25) + (-7)\/(-2)). Let c = 3.08 + -0.08. Put 2\/45, c, r, 3\/2 in ascending order.\nAnswer: 2\/45, 3\/2, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/1620 and -91\/8?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10323\/10 - -118701\/115. What is the common denominator of s and -99\/184?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -13*d - 2*d**2 - 19\/9*d**3 + 0 - 13\/18*d**4. Find z, given that m(z) = 0.\nAnswer: -1, -6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 2 (c) 1\/44 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1331907 is divided by 1154?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**4\/4 + f**3 - f**2 - 3*f - 1. Let b be t(-3). Solve -3*o = -b - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, o: 1, z: 6, i: 6}. What is prob of sequence io?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/36*(-8)\/3. What is the second biggest value in -2, -0.4, 3\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, z: 3, t: 5, o: 2}. What is prob of sequence tzcz?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1))**(1\/24)*(k\/k**(-1\/2))**(-8) assuming k is positive.\nAnswer: k**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31922*r*z**3 - r*z**2 + 110*r + 53*z wrt z.\nAnswer: -191532*r*z - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x**2 - 13 + 13)*(4 - 5 - 1)*(3 - 3 - 1)*(-4*x + 5*x + 0*x).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5\/4 + 93*h**4\/4 + 255*h**3\/4 + 75*h**2\/4 - 129*h\/2 - 42 = 0 for h.\nAnswer: -28, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514833 is divided by 57201.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 16. Let o(v) = -5080*v**2 - 48 + 10149*v**2 - 5075*v**2. What is -5*o(n) + 16*x(n)?\nAnswer: -2*n**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -30 - 4\/(4\/(0 - 2)). Let l(k) = -k**2 - 31*k - 35. Is l(t) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ba11 (base 14) in base 6?\nAnswer: 404515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 + 5*d - 17. Let k(i) = -i + 218*i**2 + 215*i**2 - 674*i**2 + 240*i**2. What is 5*k(n) + q(n)?\nAnswer: -2*n**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 - 7*f - 1. Let u be a(3). Let y be ((-8)\/u - -2) + 16\/10. Let k = 440 + -436. What is the third smallest value in -3\/2, y, k, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 23, 5, 122, 7 in descending order.\nAnswer: 122, 29, 23, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6 - 3) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 15 = -2*y, -40*u = -44*u + 4*y. Which is the second biggest value? (a) u (b) 62 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/4)\/(7\/(-266)). Let l = 92 - c. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 2) to base 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30b4 (base 14) to base 16.\nAnswer: 20c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3290411292 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 4 - 20 + 0*l - 9.\nAnswer: -2*l - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 226*k**4 + 434 with respect to k.\nAnswer: 904*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*o - 2*u + 4, 0 = -5*o + 5*u + 35. Suppose o*g - 6*g = 0. Suppose g - 14 = -2*w. Solve -2*f = -w*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530024 (base 10) to base 7.\nAnswer: 4335155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 minus 431659579?\nAnswer: -431659268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9919*s - 9929*s + 1610. Does -7 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, e: 2, g: 1, k: 1, r: 7}. What is prob of sequence lkg?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 4.5. What is the closest to 0.2 in -6, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**4\/2 - 292*a**3 + 42632*a**2 = 0.\nAnswer: 0, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3))**(-41)\/(g*g*g**0*g*g*g*g*g*g)**(-34\/3) assuming g is positive.\nAnswer: g**(190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 + 278. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/12*16\/(-2))\/(101*134\/121806)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = 68*d - 64*d. Suppose 9*x + d = 15*x. What is the highest common divisor of x and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(104) + -2*sqrt(104))*-4)\/sqrt(8) - sqrt(143)\/(-1*sqrt(1584))))**2 + -3.\nAnswer: 31201\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4*u = -12, 20*d - u + 4 = 21*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 17*p - 47. Determine j(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -1 + 11. Let v = -0.4 - -0.1. What is the nearest to s in 0, v, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**3\/3 - 3*h**2 - 6*h + 17. Determine a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 2*s**3 + 2*s**2 + 2*s. Suppose -12 = -0*h - 3*h. Is u(h) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 4*f**2 - 3*f + 1. Let d(z) = 6*z + 62. Let l be d(-10). Suppose 0 = t + l*b + 3, 2*t + 2 + 10 = 2*b. What is s(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f**2 + 2 + 2*f**4 - 16*f + 12*f**2 + 2*f**3 to the form a*f + y*f**2 + q*f**4 + d + x*f**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 631? (a) 0 (b) -1 (c) -0.054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/490 and 27\/2254.\nAnswer: 11270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/12)\/((-6)\/27). Which is the second smallest value? (a) 0.3 (b) -0.01 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 6:56 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**4 + y**4 + 2*y**4 + (3*y - y - 5*y)*(-4 + 4 + y**3).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g + 2*g + g**2 - 2*g**2. Let w be c(-2). Let f(u) = u - 2. Let d be f(w). Is d less than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - q - 1. Let b(w) be the second derivative of -2\/3*w**3 + 0 - w**2 + 1\/3*w**4 + 14*w. Let s(v) = -b(v) + 2*r(v). Factor s(l).\nAnswer: -2*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*a**2 - 1)*(92*a**2 + 0*a**3 + 20*a**3 - 17*a**3).\nAnswer: 9*a**5 + 276*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rurssrrsuduusur. What is prob of sequence sssd?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*d + 17, 0 = 3*w - w - d + 5. Let g = -2 + w. What is the smallest common multiple of (44\/(-10))\/(1\/g) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -300*y - 54. Let f(t) = 6*t**2 + 28. What is b(f(h))?\nAnswer: -1800*h**2 - 8454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2423 - 4755\/2. Find the common denominator of (-1124)\/60 + 4\/10 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5580 and 8283882?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 48*b. Let g(x) = -8*x**2. What is g(y(r))?\nAnswer: -18432*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 11 + (-1 - 2). Suppose o - 6 = -2*k - o, 4*o - 12 = -f*k. Suppose -3*a + 5*a - 8 = k. Solve 4*s + 15 = t, s = -a*t + 3*s - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171235 (base 12) in base 7?\nAnswer: -3236432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -50.7 not equal to -11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -5*r**4\/4 - 2*r**2 - 4*r + 38. Let z(f) = 121*f**2 + 33. Give -33*b(p) - 4*z(p).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177950245 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - -2*-3*sqrt(432) - sqrt(432)) + -1.\nAnswer: -72*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -111.308.\nAnswer: 2114.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 6. Let j = -1139.8 + 1140. Which is the fourth biggest value? (a) -0.06 (b) -2\/13 (c) s (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.989 - -0.011. Let v = 13.8 + 1.2. Let t = i + v. Is t less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 564.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**3 + 2*m**2 + 2*m**3 - 1577*m - 2*m**4 + 1580*m - 1 in the form p*m**3 + u*m**2 + d*m**4 + q + s*m and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147977?\nAnswer: 3, 229, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7701134 (base 9) to base 2\nAnswer: -1111110001010101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = -11*g - 37. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 29. Let h be s\/((5\/2)\/5). What are the prime factors of h\/25*(-5)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67984)\/607 + 32924\/294?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**2 + 40*h + 35 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + 1\/((-312)\/(-13312)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3299 - -3515. What is the highest common factor of 234 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 5:18 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134640\/14025*(15\/12)\/(6\/8).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 751*s - 712*s + 0 to the form l*s + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/7364 and -29\/3092?\nAnswer: 5692372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 8*d**2 - d - 11. Suppose 3*j = -4*o + 38, 2*j + o + 1 = 3*j. Suppose 10*m = j*m + 36. Suppose 0 = -m*i + 39 + 33. Determine s(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(2\/(-3 + (-3 - 0))). Solve u*j + 5*c = -j + 24, 5*c = 20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.082 and 31126?\nAnswer: -220434.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-12) - (133\/42)\/(-19)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 7. Is v >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 15. Let k = 0 - u. Suppose 0*x + k*x = 4*y + 16, -y = 2. Solve 4*v - 16 = -x*g + 6*v, 16 = -4*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*y + 120 = 0, c - 3*y + 57 = 3*c. What is the greatest common factor of 231 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(55\/50) + ((-122776)\/(-1133) - 63).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 + 21*q + 44. Let m be t(-2). Find the common denominator of -51\/16 and 6\/m + -13*(-18)\/840.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114393 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5*z + 4*z - 1275, 850 = -2*y + z. Let i = 424 + y. Sort 3, i, -4, -2 in increasing order.\nAnswer: -4, -2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 6*m + 78. What is the hundreds digit of o(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 73, -11, -0.3, 5, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2151*k**3*z**2 - 13*k**3 + 113*k*z wrt z?\nAnswer: 4302*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/5)*d)**(-1\/4))**(-5\/12) assuming d is positive.\nAnswer: d**(1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c132 - 5?\nAnswer: c12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(-140) - 2\/10\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3008*w + 98 = -3022*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 885 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 + 3*q**4 - 3*q**4)*(-2 - q + 2) + 0*q + 0*q - 2*q**5 - 3*q**3 + 3*q**3 - 2*q**5 + 128*q**5 + 73*q**5 + 73*q**5.\nAnswer: 269*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 4*n**2 + 6*n + 7. Let a be p(-5). Let d be a\/((-2)\/1) - -3. Let m(g) = -3*g. Let h be m(-1). Solve c + d*c = h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24659401 divided by -3\nAnswer: 24659401\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*r - 201 = 0, 3*r = -5*q + 151 + 188. Calculate the remainder when q is divided by (-3 - (-190)\/110)*-11.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f - 63*f = 720 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -74, -10, 394, 1318, 2942, 5446, 9010, 13814?\n\"Answer: 30*t**3 - 10*t**2 - 116*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*62287.\nAnswer: 24914.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqavaqaqvma. Give prob of picking 1 m and 2 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 423 - 426. Let z be 40\/(-12)*(48\/10 + u). Is z < 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5358388\/225 + 23815. Let s = 7\/25 + i. What is the closest to 0.1 in s, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*r - 2*r**2 - 31*r as u + t*r + n*r**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-2) - 3)*30. Suppose 2*y - x + 33 = 0. Solve -12 = -y*q + 18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*(-2)\/(-18)*(-342)\/(-76)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2872442292 to the power of 1\/2, to the nearest integer?\nAnswer: 53595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1. Let h(r) = r + 1. Calculate -h(x) - y(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 289037\/180 - 14302\/9. Let i = q + -84\/5. What is the common denominator of i and 47\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4640, 4644, 4648, 4652, 4656, 4660?\n\"Answer: 4*l + 4636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -23964, 44.5?\nAnswer: -23964","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {i: 1, a: 5, t: 3, d: 7}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -77. Let n be 2\/1*d + -1. Let q = -35\/17 + -31\/51. Is q <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 3:22 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 - (-444)\/16. Suppose -x + 11 = -4. Let v = m + x. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzzztzzztztt. What is prob of picking 4 t?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 88\/2619547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((-1848)\/252)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 652?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/132 and 109\/1143156?\nAnswer: 12574716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15076 by -4.\nAnswer: 3769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbwfllz. Give prob of sequence bz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6 + (-1)\/(-2). Solve -4*x = -b - 16, -4*x - 3*b - 9 + 41 = a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1832 + 21985\/12. Let p = -9 + 13. Let n = -5 + p. Is z less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + 4 + 5*(-2 + sqrt(275) + 4 + 5))**2.\nAnswer: -25668 - 6150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79520 and 3522400.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k**11*k)\/k)*k*k)**(-37)\/((k*k*k**21\/k*k)\/((k**6\/k)\/k)) assuming k is positive.\nAnswer: k**314","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5195031 less than -2.96?\nAnswer: 5195028.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12.11 times 1\nAnswer: -12.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 6*u**2 - u + 36. Calculate s(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3\/(-12)*18\/(-9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -256 + -45080?\nAnswer: -45346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/8 - (35 + (-4587)\/132))*6.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22188544.311883 - 22186788.91. Let l = w + -1755.49. Let u = l - -0.088. Round u to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17413 and 17413?\nAnswer: 17413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6))**(-25)*(r**(2\/27)*r)\/(r*r\/(r*r*r\/(r**2*r)*r)) assuming r is positive.\nAnswer: r**(4052\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -14 + -3 - 5 - (318 - 456)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15728189 to the nearest integer?\nAnswer: 3966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*n, -4*n - 1 = s - 15. Suppose -5*p + s = -25. Suppose -11*d - p = -51. Solve -d*j = 4 + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176478382?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -122?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*s + s = -272, 5*x - 2*s = -1360. Let t = x + 489. List the prime factors of t.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 = -5*g - 23, 0 = -4*g + 4*a - 8. Let r = g - -18. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 90, -26, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - -10. Suppose 3*l + 0 = g + 8, -5*g + x = 2*l. Suppose 2*r - 195 = -183. Solve 2 = 5*a + 2*i + 11, i = -l*a - r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902942094 plus 4?\nAnswer: 1902942098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 378.5 - 379. Let l = 2379\/4301 - 3\/391. Sort 0.6, k, l in decreasing order.\nAnswer: 0.6, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1334565 = 2*c, -1334569 = -2*c + 70*u - 67*u. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(96\/(-20)))\/(30\/855*19).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14303135, -28606267, -42909399, -57212531, -71515663, -85818795?\n\"Answer: -14303132*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22715739278 - 4?\nAnswer: -22715739282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.83847 months in years?\nAnswer: 1.0698725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 1\/7 (b) 1\/5 (c) -3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/5846 and 29\/632?\nAnswer: 23384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3246 (base 9) in base 7?\nAnswer: 6654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-5)*(-2)\/10. Let u(a) = -918*a - 57834. Let w be u(-63). Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 1)*48\/40. Let v be (-2)\/((-16)\/36*w\/(-16)). Let x be (-3)\/(-3 - -2) - 1. Solve -x*z + 4*i - v = 0, 5*z - i + 14 = i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.9 and -0.372626?\nAnswer: 4.8068754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0*n**3 + 0 + 0*n - 12*n**2 - 1\/20*n**6 + 0*n**4 + 13\/60*n**5. Find the third derivative of d(v) wrt v.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 - 535545*o**2 + 2142115*o - 1606575 = 0. Calculate o.\nAnswer: 1, 3, 107105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*s + 11 = 0, f = -s - 2*s - 9. Suppose -4*b = -4*y + 32, 3*y = -5*b - 0*b - 8. Solve -y = -f*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1. Let q be 3\/(-9) + 42\/18. Suppose -q = -y + 2*y. Sort r, y, 0 in increasing order.\nAnswer: y, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 1:44 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 311 + 103?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = 10*u + 200 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23240 and 123368.\nAnswer: 51197720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-514)\/(-2570)*(0 - 0). Solve g = 2*h - 38*v + 40*v, -2*h - 5*v - 9 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.4 + -16. Let a = 1.96 + -2.045. Sort l, a, -1\/3 in ascending order.\nAnswer: -1\/3, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12266313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 4*q - 5*q)*(35 - q**3 - 35)*(3 - 3 - 3*q) - 4*q**4 + 3*q**5 + 4*q**4.\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + -1.2. Let t = -6.7 + 7. Let g = 0 - -1. What is the closest to v in t, g, -3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 288.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74275688, 148551377, 222827066?\nAnswer: 297102755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16071 - 14385. What is the smallest common multiple of 5058 and x?\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.478 + 2.478. What is the nearest to -15.8 in -4, w, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {k: 14, j: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1)\/((-10)\/(-70)). What is the greatest common divisor of 63 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(4235) + -3*sqrt(4235))\/((sqrt(1008) + -3*sqrt(1008) - sqrt(1008)) + sqrt(1008)).\nAnswer: 2 + 11*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50916, 50919, 50922, 50925, 50928, 50931?\n\"Answer: 3*t + 50913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1705 = 5*u, 2*s + 691 = 4*s + u. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -248*o**3 - o**2 - 1638*o + 4. Let h(r) = -994*r**3 - 3*r**2 - 6553*r + 18. Let x(n) = -2*h(n) + 9*j(n). Find the second derivative of x(g) wrt g.\nAnswer: -1464*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673 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: Solve c - 4*x - 18 = -16, -x = -3*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123357332 + -54737332. Round w to the nearest one million.\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 83*v - 971. What is s(-65)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 32*y**2 + 3*y - 26. Let a be f(32). Calculate the highest common factor of 595 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29043 greater than -29043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from gghkndddktdthdttt.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 - -1.9. Let m = -1.04 + b. Round m to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 2)*(y - 513 + 513 + (2*y - 3*y + 2*y)*(0 + 3 - 1) - 5*y + 0*y + 0*y) to the form f + v*y and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + 3 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1*w*w)**(-49))**(1\/31)\/((w**2*w*w**1)\/((w\/w**7)\/(w**6\/w*w))) assuming w is positive.\nAnswer: w**(-692\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143244 = 5539*w - 5516*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11304 and 31086?\nAnswer: 124344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*o - 2360, 0 = -2*o - 5*c + 548 + 367. What are the prime factors of o?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 11180 = 12*n. Let d = 440 - n. Let y = -2\/21 + -53\/105. What is the biggest value in d, -2\/15, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*l + 1, -2*l + 1 = 3*d + 2. Sort l, 2, -2 in descending order.\nAnswer: 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/((-105)\/12) - ((-940080)\/56)\/5. Calculate the highest common divisor of 2774 and y.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8 - 3 - 5 - 6*a. Let l(u) = u**2 + 0*u**2 + 0*u**2. What is l(k(f))?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/6)\/(12\/2)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347384 is divided by 531?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -157*(8 - 23\/3). Let n = -158\/3 - j. Which is the biggest value? (a) -0.5 (b) -454 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 472686303 to the nearest integer?\nAnswer: 21741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -91400000 rounded to the nearest one million?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17208.11 + -19706?\nAnswer: -36914.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 14. Which is the third smallest value? (a) m (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**0)\/(h\/(h**(-2\/11)*h*h))*(h**(-1)\/h)**19)**(1\/70) assuming h is positive.\nAnswer: h**(-199\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 6*f - 8*f - 4*q, 79 = f + 41*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017514 to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 666?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 4*y + 3*q = 635, -y - 3*q + 115 = 0. Suppose 55 = x - 9. Let o = 77 - x. Calculate the highest common divisor of o and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.52730524 + -808.46228476. Let w = k + 810. What is w rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, -4, -5, 0.9, 4 in decreasing order.\nAnswer: 4, 0.9, 2\/19, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 19280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2781390*0.4.\nAnswer: 1112556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uutuhtputuupp. What is prob of picking 2 p, 1 h, and 1 u?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4395 and 354530?\nAnswer: 1063590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + s + 2522 = 0, 1433 = w - 5*s + 163. Suppose d = -d + 8280. Let r = w + d. What is r rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11307\/48997)\/((-1)\/(-143)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*x - 2)*(-x - 47*x**3 + 2*x**2 + 15*x**3 - x**2).\nAnswer: 64*x**4 - 2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 9. Let d be g(6). What is the third derivative of -4*n**2 + 26*n**3 - 26*n**d - 9*n**4 wrt n?\nAnswer: -216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 3*h**2 + 15*h + 68. Determine l(-8).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 412, 1364, 2864, 4912, 7508?\n\"Answer: 274*l**2 + 130*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -89 - 23?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 625 = 3*q - 632, 16 = 2*q + 3*m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -30 (c) -2\/7 (d) -1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**6\/360 + q**5\/120 + 11*q**4\/24 + 5*q**3\/3 + 1. Let p(s) be the third derivative of x(s). List the prime factors of p(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofoffoffooofooofff. Give prob of picking 4 o.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29675 and 255205?\nAnswer: 1276025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.264779 millimeters in kilometers?\nAnswer: 0.000000264779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 426316 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:55 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 885*n**2 - 3475*n - 2595.\nAnswer: -5*(n + 1)*(n + 3)*(n + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 1:31 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4\/7 + 9*w**3\/7 - 33*w**2\/7 - 9*w\/7 + 30\/7 = 0. Calculate w.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-2))\/(2\/16). Suppose x + l = 3*x. Let s(b) be the first derivative of -b**4\/4 + 7*b**3\/3 - 3*b**2 - 3*b + 29. What is s(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1480*p + 1433*p + 82427 + 966519 = 0. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*r + 9 = 13, 0 = -2*r + 8. Suppose w = 2*m + 1, -7*m = -w - c*m. Factor 4\/5*x**2 + 0 + 1\/5*x**w + 4\/5*x.\nAnswer: x*(x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -62 + 58 + 112*l + 226. Determine t(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1593)\/(-1)*3304\/(-89208)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00373338 rounded to five decimal places?\nAnswer: 0.00373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*s**6 + 307*s**2 - s**5 - 2*s**4 + 2870*s**2 - 703*s**6 + 1221*s**2 wrt s.\nAnswer: -78240*s**3 - 60*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 1. Suppose -6 + 1 = 5*a. Let d(t) = -6*t**2 - t. Let m be d(1). Let z = 6 + m. Let w(j) = 3*j. Calculate a*c(f) + z*w(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 427503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22.21 + 30.9\nAnswer: 8.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (sqrt(132)*2*-2 + sqrt(132)))\/(4*(sqrt(300) - sqrt(300)*2))*-1*4)**2.\nAnswer: 176\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21456 and 9387?\nAnswer: 150192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.188208431 + 5?\nAnswer: 108.188208431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*n = n - 5, 1 = -2*w + 5*n. Let s be 2\/w - 5\/(-3). Sort s, -1, 8 in descending order.\nAnswer: 8, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10 + 6 + 3 + 2*p - 11*p - 20 - 4. Let y(i) be the first derivative of 5*i**2\/2 + 2*i + 1. Calculate 6*l(o) + 11*y(o).\nAnswer: o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + 18. What is the highest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -5\/9*y**3 + 25\/3*y**2 - 125\/3*y - 92. Factor z(d).\nAnswer: -5*(d - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-12) + 96932\/(-48). Let w = -2030 - g. Let x = 582 - 11589\/20. Find the common denominator of x and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 0*j**3 - 11\/30*j**6 - 10*j - 3\/2*j**4 + 0*j**5 + 0*j**2 + 0. Find the third derivative of q(c) wrt c.\nAnswer: -264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-260)\/(-24))\/(-13)*(-15)\/25. Let q = 2.2 + -2. Sort v, q, -2\/7, 4 in decreasing order.\nAnswer: 4, v, q, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26813, -53613, -80413, -107213, -134013?\n\"Answer: -26800*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**4 - 1 + 7255*c + 473*c**5 + 7*c**4 - 6664*c wrt c.\nAnswer: 9460*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g + 65. Give b(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.143 + -68.857. Let k = b + 70. Which is smaller: -2\/3 or k?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -50*h - 222. Let d be y(-15). Let b = 534 - d. Let u(v) = 2*v. Let w(l) = 1. Determine b*w(r) + u(r).\nAnswer: 2*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nineteen quarters of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -0.01, -7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 115\/499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 3*r**2 - 2*r + 5. Let g be o(-4). Sort 3, g, -1 in descending order.\nAnswer: 3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.009 - -0.001. Which is the closest to -2\/3? (a) v (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82*l**4 - 169*l**4 + 85*l**4 - 3*l**3.\nAnswer: -l**3*(2*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-21) - -1)*-7. Let d be 13\/t - -2 - 0. Let u = 6 - 6.4. Which is the third biggest value? (a) u (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2249997?\nAnswer: 2249995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 26, 28, 26, 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81528 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -143*o**2 + 7*o + 63. Give g(-4).\nAnswer: -2253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843 is divided by 46.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 75*c**3 + 3*c + 142*c**3 - 69*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 14*z + 14. What is i(-10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2\/9, 1, 0.028, 1\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/81? (a) -1 (b) 10885.8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 13*k - 14*k + 6*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*i - 2957 = -2*i, -i - 2365 = -4*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 0. Let x = -1.8 - b. Let w = 2\/483 + -1453\/966. Sort 0.1, w, x.\nAnswer: w, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 110, 259\/5, 0.04?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7*k = -2874. Let c = k - 11972\/25. Which is bigger: c or -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83\/6 > -11\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001122331 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 36011.\nAnswer: 36009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 1. Let u be c(1). Suppose -3*k + 6*k - u*j - 1500004 = 0, 0 = 4*k + 4*j - 1999996. What is k rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.042 != 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102930 or 102846?\nAnswer: 102930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {q: 3, v: 5, g: 3, z: 5, l: 2}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 149.17 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 6:18 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 1. Let p be n(0). Let g be p - (0 - -3)*-3. Is 5\/g + 218\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00114777305 to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/30366 and 89\/7056?\nAnswer: 1700496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664*w + 163*w - 154*w.\nAnswer: 673*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/977275 and -32\/31.\nAnswer: 977275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**28*h)*h))\/((h**(-14)\/h)\/h)*h**(-25)*h*h*h\/((h*(h*h\/(h\/(h\/(h\/(h\/h**16)))*h))\/h)\/h) assuming h is positive.\nAnswer: h**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/9 - 11*w\/3 - 34\/9.\nAnswer: (w - 34)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 270, 400, 528?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 - -93. Let k = -22 + c. Solve 4*d = -n - 25, -3*n - 30 = d + k*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 5*s**2. Let o(m) = -m**3 + 6*m**2. Let g = 15 - 9. What is g*u(d) + 5*o(d)?\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 556727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -8. Suppose 0 = -h*g - 20 + 4. Suppose -20*r = -24*r - 24. Sort -2, r, g in descending order.\nAnswer: -2, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -39*n**2 - 11*n + 5. Let z(p) = 58*p**2 + 17*p - 8. Let b be (9 + -4)\/((17 - 14) + (-6 - -2)). Give b*z(o) - 8*i(o).\nAnswer: 22*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 13152*d + 2393666. Determine u(-182).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Suppose -11*u = 4*u - 60. Sort u, d, 2 in increasing order.\nAnswer: d, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 12 - -89 - (13 + -9 - -10)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001 (base 2) in base 15?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**8\/1680 + i**7\/2520 - i**5\/120 - 5*i**4\/2 - 34*i. Let b(z) be the third derivative of j(z). What is b(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8253 is divided by 8171.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 15*t = 55*t + 780 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6530\/35 + ((-3)\/(-7) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, g: 4, r: 1, j: 5}. Give prob of sequence grt.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -32)*104\/(-39)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1370849.\nAnswer: 47, 29167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 3 + -139 - (156 - 193).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-1265) + (-26367)\/(-11385).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.57254 millennia to years.\nAnswer: 86572.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166682 or 166671?\nAnswer: 166682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -340126*c**2*g**3 - 203*c**2*g**2 + 64*c + 2*g**4 wrt g.\nAnswer: -2040756*c**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*n - 6100*n + 178*n - 2165*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1625 divided by 2\nAnswer: 1625\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 - 14 - 3 - 9*r + 166.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/40*(-3)\/1*1540\/308.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + b. Let c = 6 - 6. Let d = -1 + c. Let n be m(d). Let t(j) = 2*j + 3. What is t(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22574 = 39*z - 1021. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b96 (base 14) to base 8\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/7, 215, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 greater than or equal to -1609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 4*i**2 + 3. Let u be c(4). Solve -3*n = 5*a + 10, 0*n = -u*n - a + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -760650 by 6.\nAnswer: -126775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 770*l**2*z + 797*l**2 + l*z - l - 2*z + 16685 wrt l.\nAnswer: 1540*z + 1594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 553820, 1107664, 1661508?\n\"Answer: 553844*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -511cd (base 14) in base 8?\nAnswer: -575201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8*j = -4*c, -3*j + 32 = 4*c. Solve 3*q - 7 = 4*l + 5, j*q - 16 = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -212200 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-2 + -3 + 4)*-1. Suppose 4*n + 5*w + 0*w = 17, -m*n - 11 = -w. Put -5, -6, n in increasing order.\nAnswer: -6, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*u**4 + 10*u**3 + 207 wrt u?\nAnswer: 32*u**3 + 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 2*s**3 + 0*s)*(7 - 7 - 16)*(3 - 2 - 2).\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*t + 6*t - 6 = 0, 5*t + 4 = -2*j. Let w be (-15)\/(-12) + -1 - (-19)\/4. Suppose 3*x = 4*v - 24, 7*v = j*v + w*x + 24. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148248.\nAnswer: 2, 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.056, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 2*v + 2*v)*(4*v + 3*v - 4*v) + v + 40264 - 4*v**2 - 40279 + 0*v in the form o*v + y + a*v**2 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5337 (base 10) to base 4.\nAnswer: -1103121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1451 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/13 and 8\/3653.\nAnswer: 3653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1266383 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114502 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 1. Let c(a) = 182. Let m(p) = -64. Let b(i) = 6*c(i) + 17*m(i). Let g be 8\/12*(-3)\/(-2). What is g*b(l) + 2*v(l)?\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 4539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696 times -1?\nAnswer: -1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1128269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 7*c**2 + 10*c + 6. Let w be n(5). What is the least common multiple of 9\/11 - w\/(-33) and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-20))\/(187\/85)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 20, -0.225228?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 0, 1\/2, 4040?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 265?\nAnswer: -5\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 229*t - 77*t - 64*t + (3 - 1 - 1)*(-109*t - 75*t + 130*t) - t - 2*t + 5*t in the form j + y*t and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.66 + 11.\nAnswer: 5.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*n + 4*i, -5*n - 3*i = -n - 3. Let x(t) be the second derivative of n*t**3 + 0*t**2 + 1\/36*t**4 + 0 + 2*t. Solve x(v) = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvn when three letters picked without replacement from nnnnnnnvnvnnnvnnvnnn.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*z - 1338, -2*u - 4*z + 333 + 559 = 0. Suppose -14*i + 4*x = -9*i - u, -4*x = -2*i + 176. Calculate the highest common factor of 60 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 1. Let u(z) = 454. Let o(p) = -40. Let j(c) = 12*o(c) + u(c). Determine -52*f(m) - 2*j(m).\nAnswer: -52*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, c: 2, k: 5, z: 2, b: 4}. What is prob of picking 3 b and 1 k?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 358162479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(-2*d**2 - 6*d**2 - 17*d**2 + 2*d**3)*(5 - 5 - 2*d).\nAnswer: -8*d**4 + 100*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19470*-81\nAnswer: 1577070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105292?\nAnswer: 2, 11, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*4\/(-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = -6. Let l be (-8)\/(-6)*(-9)\/(-6). Let g be -3*(4 - 2)\/l. Sort 4, v, g.\nAnswer: g, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.8973 - -26.94. Let q = -0.0427 + k. Which is the second biggest value? (a) q (b) -0.2 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 50*n + 53. What is l(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 5*v + 1. Suppose -9*q - 12 = -10*q. What is the remainder when q is divided by x(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (84\/18)\/(92\/(-138)). Put 3, -83, f in ascending order.\nAnswer: -83, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37382586949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 250*f**4 - 2350*f**3 - 22770*f**2 - 55418*f - 42592.\nAnswer: 2*(f - 16)*(5*f + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 26 - ((1 - 6) + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 105 = 6*r. Let m = 237 + r. Calculate the remainder when m is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, a: 7, q: 2}. What is prob of picking 1 a and 1 t?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 82 = 3*r - 521, 5*r = a - 71. Let b = -52 + a. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -43*l**7\/42 - 11*l**5\/20 - 5*l**3\/6 + 9*l**2 + 7. What is the third derivative of a(t) wrt t?\nAnswer: -5160*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**6\/180 - t**5\/30 - t**4\/12 - t**3\/3 - 7. Let w(m) be the third derivative of j(m). Factor w(g).\nAnswer: -2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.273 + -10.273. What is the second biggest value in n, 0.1, -42\/71?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7615 - -5274. Are r and -2341 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 10) in base 6?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -13 - ((52 + -8 - 6) + 14).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*o - 1003 = 631 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -11 (b) 0.3 (c) -450\/893\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6532729 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2580)\/638 + 4\/1. Let i = -4\/29 + u. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -377 + 22*p**4 - 2*p**5 + 375 - 2*p**3 + 2*p**3 + 56*p wrt p?\nAnswer: -40*p**3 + 264*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 949802 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10876 is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**2 + 5*f**2 + 3 + 0 as k*f**2 + o + r*f and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2 - 10*z - 14 + 5 - 2*z**2. List the prime factors of w(7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4 = 1. Let g be (-2)\/(j - (-3)\/(-2)). Suppose -g*p - 180 = 620. Round p to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f = -2*c + 20, -4*f - 10 = -c. Let g = c + -10. Let r be (-15)\/(-12)*1 + g. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:05 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 + 79 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let p(x) = 25*x - 1. Let b be p(1). Suppose 208*i - 1983 = 3009. What is the highest common factor of b and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*b - 133*b = 106*b - 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516900089 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -j + 31, -57 = -5*j - 5*h + 88. Let f = 31 - j. Suppose -f*a + 332 = -2*a. Does 34 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -219129 times 2.1\nAnswer: -460170.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (0 - 6)\/3. Let d be ((-69)\/(-1 - 2))\/w. Suppose 3*l - 101 = -d. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 22 + 7 + 8 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35960 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -108659502 divided by -263?\nAnswer: 413154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*q + 24, -4*k + 4*q - 3 - 21 = 0. Is (-10133)\/((-36)\/27 + k\/(-9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.998737984 - -0.998739134. Let r = w - -41. Round r to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*l = -48534, 0 = -5*p - 6*l + 55123 + 25768. What are the prime factors of p?\nAnswer: 7, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**4 + 11942*h**3 - 440620*h**2 + 1607274*h - 1178595 = 0.\nAnswer: 1, 3, 33, 11905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 10*y**2 - 909*y + 7191. Calculate q(8).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from boo. Give prob of sequence oob.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -500 and -7.8.\nAnswer: -507.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(84) + (sqrt(84) - (-1*sqrt(84) + sqrt(84))) + sqrt(84) - sqrt(84)) + sqrt(84)*1*-1)\/(sqrt(24)\/(sqrt(4)\/(sqrt(2) - sqrt(18))))*-1.\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2515*c**3*x**3 + c**3*x + 4*c**2*x**3 - 2*c**2*x**2 + 3416*c**2*x wrt c.\nAnswer: -15090*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -7*f**4\/4 + 5*f**3\/6 - 8*f**2 + 2*f. Let h(u) = 4*u**2 - u + 3. Calculate 11*h(z) + 2*s(z).\nAnswer: 2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/11 + 16\/(-154). Let u = 58 - 31. What is the third biggest value in u, 1\/6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6*(-1)\/(30\/(-25)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001004 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -2\/31 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.580203 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {c: 1, p: 2, o: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.058, 0.5, 0.3, 0.2?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y = 34*y + 36. Suppose 335 = -y*a + 1031. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + -10000001001111111010101?\nAnswer: -10000001001111111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.018312 times 5?\nAnswer: 30.09156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*r + 19 = -0, -3*r + 9 = 0. What is the tens digit of v\/(-5) + (-2 - -30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89103*y + 14855*y + 14838*y + 14852*y + 14852*y + 14854*y + 14851*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -0.25, 11.5 in increasing order.\nAnswer: -0.25, -2\/11, 11.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xadxensexeaadeaeaaan. Give prob of sequence sea.\nAnswer: 7\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 + -109. Suppose 2*x = 5*w - 22, 6*w = 3*w + x + g. Suppose 370 = 5*z + 2*c, -3*c = -z - 7*c + 92. What is the least common multiple of z and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(26)\/sqrt(2) + 5 + -2*sqrt(13).\nAnswer: -sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7903 divide 3483640638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 276 = 26*z. Solve -4*p + 5*i - z = 0, 3*p - 4*p - 2 = -i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1981127700 to the nearest one million.\nAnswer: -1981000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 4:56 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:18 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(78\/126)*(-2)\/(-6). Suppose 5*n = 8*n - 12. Does 4 divide 6\/t*(-84)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 1. Let f(v) = -2*v**2 + 2*v - 3. Suppose k = 4*k + 3. Let q(t) = k*f(t) + 3*l(t). What is g in q(g) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t - o - 2, t - 3 = -2*o. Let g be ((-9)\/45)\/(t - (-6)\/(-5)). What is the units digit of 6\/2*(g - 4\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 801435 divided by -115\nAnswer: -6969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/(a**(-16\/7)*a))\/(a**(1\/4)\/a**22) assuming a is positive.\nAnswer: a**(533\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151 + 15. What is the second derivative of 83*h + 84*h - x*h + 1 - 47*h**5 wrt h?\nAnswer: -940*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/242*-11)\/(-7 + 1452\/208)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -209 + 827\/4. What is the common denominator of y and (-738)\/80 + (-6)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**3 - 8*y**2 - 8*y + 8. Let q be (0 + (-1)\/(-5))\/(10\/100). Let p(m) = -q - m**2 + m**3 - 1 + 6 + 1 - 3 - m. Give -j(s) + 8*p(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 35 + 9 - (16 + 45\/(-9) - (-24)\/(-4))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9126 - -9126. What is the closest to -69 in i, -0.4, 2, 0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-300)*-8)\/(-1*6\/80).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 7}. What is prob of picking 2 l?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2515 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 333.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4506 and 102?\nAnswer: 76602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 8*y - 315 = 0. What is the highest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -91, -271, -615, -1177, -2011, -3171?\n\"Answer: -9*c**3 - c**2 - 4*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/20858 and -17\/268.\nAnswer: 2794972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -79, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -5 + 4)*(0 + -1). Suppose -c = -5*c + 20. Find the second derivative of 0 - c*v**3 - 2*v**3 - z*v + 0 wrt v.\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -332*f**2. Let d(r) = 9*r - 14. Let h(b) = -4*b + 6. Let i(l) = 3*d(l) + 7*h(l). Give x(i(m)).\nAnswer: -332*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -23 (b) -1\/2 (c) 1\/2 (d) 5 (e) 108 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 2377751\nAnswer: -237775.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-15)*(-666)\/(-37)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x. Let s(m) be the third derivative of -1\/6*m**4 - 3*m**2 + 0*m + 1\/30*m**5 + x + 0*m**3. Determine h so that s(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-1)\/(-1)*1344\/448.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*p - 11 = 0, -3*w = 2*w - 3*p + 10. Sort -17, w, -4 in descending order.\nAnswer: w, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.439975 + -7.51. Let v = -310.07 + 310. Let n = v - b. What is n rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let r(z) = -z - 1. Let a be r(8). Let n(p) = 3*p. Determine a*y(k) - 4*n(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 958*t**4\/3 + 104402*t**3\/3 - 106318*t**2 + 320870*t\/3 - 107276\/3 = 0. Calculate t.\nAnswer: -53638\/479, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(213\/42 - 5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 3.996.\nAnswer: 7.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205c (base 16) to base 13.\nAnswer: 3a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/(-595))\/(5\/(75\/2)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -474.1072474 + 474.7973. Let r = 0.69 - o. What is r rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2586831251?\nAnswer: 107, 24175993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q + 13*q + 65 = -18*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*o, 0*h = 2*h - 3*o - 9228. Let b = h + -2555. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-2 + -4) - (-2 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10451 > 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y + 3. Let l(q) = 2*q**2 + 14*q. Give l(j(x)).\nAnswer: 50*x**2 + 130*x + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 3. Let h be k(0). Suppose h*i + 0 - 12 = 0. Solve 2*s - 6 = -i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 6*h - 4*l, 5651 - 2810 - 2925 = -4*l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (1 + -8 + 4 + 1 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -187 + -65\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 39. Let v = -2 + 2. Sort 5, m, v in descending order.\nAnswer: 5, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4978467293 - 5?\nAnswer: -13.4978467293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-6))\/((-3)\/(-18)). Let n be -4*(-3 + 22\/q). Let y(z) = -z**3 - z**2 - z + 1. Determine y(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-10) - 1495*(-6851)\/26 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21850224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(7 + -1 + 0). Factor z**2 + 4 + 522*z - 521*z - j.\nAnswer: (z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 328047 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 702 = -8*v. What is the highest common factor of 39 and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3801 + 0.0453.\nAnswer: -3800.9547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -3*y + 20*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9158\/6 + 120\/180 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 9 + 33 + 2*b**3 as g + s*b**3 + u*b + d*b**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*d - 108*d - 250 = -175*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 316\/7, -10\/11, -0.4, 1 in decreasing order.\nAnswer: 316\/7, 1, -0.2, -0.4, -10\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lytlllt. What is prob of sequence ll?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 15*w**2 - 10. Give n(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 17. Let r be u(-13). What is the remainder when (r\/6)\/(2\/87) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 933440 and 8920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*y - 342. Calculate the remainder when y is divided by -2 + (-4)\/(-2) + (324\/12 - 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119010 and 238020?\nAnswer: 238020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2940 in -412, -0.1, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4\/2 + 373732*x**3 - 69836682707*x**2 - 419030187060*x - 1257100652025\/2 = 0.\nAnswer: -3, 373735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y - 66. Let m be h(12). Calculate the greatest common factor of 42 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 125 = -670. Let i = 547\/5 + f. What is the second smallest value in -4, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 0*s**4 - 3 - 3*s**2 - 2*s**4 to the form a*s**3 + m*s**2 + h + c*s**4 + b*s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 5*r - 854. Suppose -r = 5*l - 3399. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3\/5)*n)\/(n**(-2\/3)\/n*n))\/((n\/(n\/(n\/(n*n**(-1\/3))*n)))\/((n**(4\/9)\/n)\/n)) assuming n is positive.\nAnswer: n**(-37\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 273486 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 + 4. Let c(s) = 2*s**2 - 3. Let d(t) = -4*c(t) - 3*p(t). Let g(o) = -4*o + 4. What is g(d(y))?\nAnswer: -4*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/h**4)*h**15)**(-9\/7)\/((h**(-3))**(-5))**(-45) assuming h is positive.\nAnswer: h**(4545\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2 - m + 8*m**2 + 0*m**2 + 3*m. Let d be n(3). Suppose 0 = h, -30 = -3*w - h - 0*h. Calculate the greatest common divisor of d and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -207, -411, -615, -819, -1023?\n\"Answer: -204*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 4*h + d - 21, 0 = 5*h + 3*d - 180. Suppose -h*s = -41*s + 4. Factor -1\/2*q**4 - 5\/2*q**s + 0 - 2*q**3 - q.\nAnswer: -q*(q + 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 15483494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 90121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 605 = -11*v. Let t = v + -69. Does 23 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 458, 918, 1378, 1838, 2298, 2758?\nAnswer: 3218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0093 - -0.4433. Let o = -59.274 + d. Let h = o - -65. Round h to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11 = -2*z, -2*h - 4*z - 1 = -h. Suppose -h*f = -6*f - 13. Let d(u) = u**3 - 12*u**2 - 6*u - 14. What is the tens digit of d(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-64)*14)\/(7\/((-308)\/(-33)))\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-310)\/(-124)*(-8)\/30?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2571671767 plus 0.6?\nAnswer: 2571671767.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 1 + -20 + 26\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1396, 10485, 35158, 83209, 162432, 280621, 445570?\nAnswer: 665073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {v: 3, s: 2, g: 3, u: 2, r: 3}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330035 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1829690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-4) - (-1 + 2). Let i be (6\/f)\/((-1)\/2). Let g be i + 10\/8 + (-2)\/8. Solve -7 = -3*k + 4*m, 0 = -3*k + 2*k + g*m - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4388*m - 18*m**2 - 4 - 11*m**2 + m**2 + 4392*m + 2 to l*m + v*m**2 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpmot. What is prob of picking 1 m and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2135163*o**2. Let b(u) = -2*u**2. Calculate v(b(s)).\nAnswer: 8540652*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:14 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - 9*i**5 + i**5 + (2*i**4 + 0*i + 0*i)*(-2*i + i + 4*i) - 2*i**5 - 3*i + 3*i.\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p + 44*p = 3*f + 130969988, -4*p = -5*f + 523880020. Round p to the nearest one million.\nAnswer: -131000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -8160.\nAnswer: 13\/2720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/5706 and ((2352\/366135)\/56)\/((-4)\/(-145))?\nAnswer: 62766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**4\/6 + 89*r**2\/2 + 9120*r. Let o(i) = 46*i**2. Determine g(o(h)).\nAnswer: 4232*h**4 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*a + 3*c = 424*a - 15, 3*a = -3*c - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*a + 17, 0 = 3*y + a + 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -42 - -50 - (0 + (10 - -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y**2 - 38*y**2 + 14*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 11*t**2 + t - 1. Let w be i(11). Let r = w - -8. What is the remainder when 33 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001374 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67137.74 hours in nanoseconds?\nAnswer: 241695864000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 523 + 707. Calculate the greatest common factor of x and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 312 - 285. What is the remainder when 138 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a + -50?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4441257753 to the power of 1\/2, to the nearest integer?\nAnswer: 66643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 870912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32609890123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4)*(-4 + 5)*-2. Suppose b*q + 68 = -58. Let n be -1 + (-3 - q\/9). What is the second smallest value in -1, n, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 820 = 2*r. Suppose 18*a = 20*a + r. Is -81 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 748, 1695, 2616, 3499, 4332, 5103?\nAnswer: 5800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**3 + 1728*j**2 - 779*j - 30093. Give v(-346).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 7*v**2 + 6*v - 4. Let l(g) = -3*g**3 + 20*g**2 + 17*g - 11. Let h(t) = -6*l(t) + 17*r(t). Let y be h(2). Solve y = -5*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 268 - 283. Let d(v) = -v**2 + v - 1. Let z(n) = -16*n + 4. Let a(k) = d(k) + z(k). Let y be a(c). Solve -y*w = 9 - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 11 + -8 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2 + 6. Let t(y) = 9*y**2 - 77. Give t(l(r)).\nAnswer: 225*r**4 - 540*r**2 + 247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Suppose v = 19*i - 18*i + 4. What is the least common multiple of 18 and 8\/(5 - (8 + i))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/6 and 45\/2629.\nAnswer: 15774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (400000\/15)\/((-2)\/(-135)). Suppose o = 5*o + n. What is o rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3732774 is divided by 624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4 - 15*m + 6 - 12*m + 26*m + 0. Let t(k) = -2*k**2 + k**2 + 4*k**2. Give t(v(p)).\nAnswer: 3*p**2 - 12*p + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 37*d - 118*d - 16*d**2 + 24*d**2 + 48*d + 34*d + 31*d**2.\nAnswer: 35*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/120 - c**5\/15 + 5*c**4\/24 + c**3\/3 + 9*c**2. Calculate d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1045357 is divided by 895?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.231085ms to seconds.\nAnswer: 0.009231085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 17 = -4*u + 4, 0 = -2*u + 3*v - 9. Let s(d) = -d - 10. Let b be s(-19). Let k be 2\/(-6) + 21\/b. Solve -u*f = -4*x + 1, -7 = k*f + x + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-116)\/638)\/(11\/(-2420)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1054\/8 + 2\/8. Suppose -3*a + 4*h - b = -7*a, 5*h = 25. Suppose 0*p + a = 2*p. Solve p = -5*y - 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**2 + 6*s + 536. Let r(j) = -8*j**2 + 4*j + 358. What is -5*b(f) + 7*r(f)?\nAnswer: -f**2 - 2*f - 174","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 1449*i**2 - 27906*i + 262. Calculate s(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 30*u + 33.\nAnswer: -3*(u - 1)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 12*i + 14. What is the remainder when 353 is divided by d(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4462474.193 and 0.3.\nAnswer: -4462473.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from hiqqhqqisiqq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-36)*-5*-6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3503452 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 994365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1361*l**2 - l + 3*l + 1351*l**2 + l**3 to g*l**2 + w*l**3 + u*l + b and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5363 = -15517. Suppose -4 = 2*f, 6*o + 3*f + 126 = u. Is o a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t + 380. Let a = -38953 - -38857. Does a = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 70. Suppose -v*p = -5*l - 341, 10 = -5*l - 10. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/225 and 53\/8.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 1086234?\nAnswer: -1086234.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 3)\/1*(7 - 7). Which is greater: 159 or r?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 914802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1433322*b**2*i*t**2 + 2*b*i*t**2 - 20*b*t**2 + 5783*i*t**2 + i wrt b.\nAnswer: -2866644*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -140 + 33 - -80 - -125?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21934 and 3052814?\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 1, m: 2, h: 1}. Give prob of picking 2 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -3. Let y = 10 - w. Let q(v) = -2 - 3 + 0 + 3*v. Give q(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {a: 1, b: 1, l: 4, m: 7, p: 3}.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 472\/295*15\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 26843 = -g + 302301, 0 = g - 9. What is the ten thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -17.93. Let h = 274 + -274.1. Sort g, h, 1 in descending order.\nAnswer: 1, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 42 = -4*l. Let j = 67 - 117. Let f = l - j. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m**2 - 7*m**2 + 24*m**2.\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 d, and 1 t when four letters picked without replacement from {e: 3, t: 1, p: 1, u: 1, d: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - 6*v**2 + 2*v**2 + (-3*v + 5*v + 0*v)*(-4*v + v + 2*v) + 0*v + 0*v - 2*v**2 - 2*v**2 + 5*v**2 + 0*v**2 + 6 + v**2 - 6.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3303169, -13212683, -29728533, -52850713, -82579217, -118914039, -161855173, -211402613?\n\"Answer: f**3 - 3303174*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -618 + 737. 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: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*s**3 - 2763890*s + 2763890*s.\nAnswer: -146*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*m**2*t**3 + 2*h**2*m + 7*h*m**2*t**3 - 2*h*m*t**3 - 2*m*t**3 wrt m?\nAnswer: 2*h**2*t**3 + 14*h*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 9\/16*v**2 + 1\/40*v**5 + 7 - 5\/32*v**4 + 0*v + 1\/8*v**3. Factor l(s).\nAnswer: s*(s - 3)**2*(s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - t + 0*t)*(-506 - 10313 - 12) to m + q*t and give q.\nAnswer: 21662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(7\/4))**(-7\/3)*((j*j**(-2\/5))**3)**(-30) assuming j is positive.\nAnswer: j**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/192 - (-5041)\/8. Let a(v) = -4 + 4 - 631*v**2 + f*v**2. Let q(u) = 3*u - 8. Determine a(q(s)).\nAnswer: -9*s**2 + 48*s - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -506\/126097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 55 - f**2 - 2942*f + 32.\nAnswer: -f**2 - 2942*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2697936 divided by -6\nAnswer: -449656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppbppppbbp. Give prob of picking 3 b.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 1:43 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 622 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 56*r - 308. Let i be s(100). What is the highest common factor of i and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15504 + -15503.86994. Round g to 3 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 5:22 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2202*t**3 + t**2 - 196. Let g(n) = 2202*n**3 + n**2 - 213. Let u(v) = -12*g(v) + 13*r(v). Find the third derivative of u(x) wrt x.\nAnswer: 13212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/(-14) - (-6)\/21. Suppose -w - 3 = -a*r + 1, 4*w - 2*r - 74 = 0. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 4192070*h + 25152600.\nAnswer: -5*(h - 838420)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1 + 3*q - q**2 + 0 - 12*q + 2*q. What is b(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -103 (b) 0 (c) -14 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -5*s**4\/12 + 2420*s**3\/3 + 4845*s**2\/2 + 5167*s. Factor g(u).\nAnswer: -5*(u - 969)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(605)*3 + 3 - ((-2*sqrt(605))**2 + -2)).\nAnswer: -66*sqrt(5) + 4830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from qbxbgxv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 less than or equal to -134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 262 - -955?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k**(-1)*k)\/k)\/k)**(-7)\/(k**0*k**(-1)))**(-11\/3) assuming k is positive.\nAnswer: k**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.075 + -0.085. Which is the nearest to -1\/8? (a) 2 (b) r (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 76260, 0.3, 4 in descending order.\nAnswer: 76260, 4, 0.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -175 divided by 4765\nAnswer: -35\/953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -0.5, -1, 1\/48?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u + 8 + 15*u**2 - 9*u**3 - 8.\nAnswer: -3*u*(u - 1)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11449371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 4*r + 0*r + (r - 3*r + r)*(1 - 4 + 2) - 1 - 2*r + 1 + (0 + 1 - 2)*(-2*r - r + 2*r) - r + 3*r + 0*r + r - 2*r - 3*r as a + t*r and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 381*s - 5416. Give f(14).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*a - 551 + 583, -5*a + 5*v = -40. Calculate the lowest common multiple of 15147 and a.\nAnswer: 15147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1293 - -1299. Put 9, 8, t in descending order.\nAnswer: 9, 8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 13. Let v = 45 - 35. Calculate the highest common factor of x and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -2, 11, 28, 49, 74, 103?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - d + 39. Calculate the remainder when m(0) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.26 - -1.04. What is the third smallest value in u, -5, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*b + 125*b = -108. Solve -55*w - b = -58*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -0.5, 1097, 0, 22\/19?\nAnswer: 22\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109 by 1257.\nAnswer: 109\/1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.043.\nAnswer: -0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 3*m**2 - 3*m - 2. Let j(n) = n**3 - 6*n**2 + 6*n. Calculate the smallest common multiple of j(5) and c(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 1 + 0)*(-1 + 3 - 4) + 4 + 3 + 1)*(1 - 2 + 4)*(3*p - 3*p + p) in the form c + t*p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.8 - -40.625. What is q rounded to 1 dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.8 + 4.8. Let q = p + 17. Let u = 13.1 + q. Which is smaller: u or 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y**3 + 2*y - 2. Let r(w) = 7*w**3 - 3*w + 3. Calculate 3*o(n) + 2*r(n).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21231121231 (base 4) in base 5?\nAnswer: -1122422021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((1 - 4) + 4)\/(-1). Calculate the common denominator of -149\/18 and r - (338\/(-12) - -3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1702 + -1496. Solve -194*r + 48 = -h*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 17. Let f = y + -8. Let d(a) = 2*a**2 - 3*a + 3. Calculate d(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2*(0 + (((sqrt(147) + sqrt(147)*-2)*1 - sqrt(147)) + sqrt(147) - -2*sqrt(147)*4)))*-4)**2.\nAnswer: -12544*sqrt(3) + 461248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2\/7 - 4*b\/7 - 128 = 0.\nAnswer: -28, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a = u - 18, 0 = -u + 3*a + 28. What is the third derivative of -176 + 26*l**3 + 176 - u*l**2 wrt l?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 140 + 20 = 3*w, -4*w = -2*u + 50. What is the remainder when 144 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(75) + -5)**2 + -2*(0 + (sqrt(75)*-1)**2) + -3 + 5.\nAnswer: 80*sqrt(3) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 27660.\nAnswer: 387240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/10 + 6203906*c\/5 + 19244224828418\/5 = 0. What is c?\nAnswer: -6203906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x + 1. Let a be k(-1). Let d(l) = l**2 - 2*l + 4. Let p be d(a). Suppose 0 = -5*i - 4 + p. What is the remainder when i is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13 + 8*h**2 - 4*h - h**3 + 0*h - 3*h - 5. Let b be f(7). Let x = b - 6. What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42455054 (base 6) to base 5\nAnswer: 310024004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177 and 1022175?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5168 and 8075?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31244801*a*h**3 + 3908*a - 6194 wrt h.\nAnswer: -93734403*a*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t + 4. Let z(o) = 7*o + 3. What is -6*v(d) + 7*z(d)?\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4, 3*b = 7*b + l - 64. Suppose 2*h + 0*h = 50. Let i = h - b. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*f = 25*f - 48 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/(186\/(-465))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g. Let x(b) = -1863*b**2 + 4*b + 4. Let q(k) = 1864*k**2 - 3*k - 3. Let d(c) = 4*q(c) + 3*x(c). Determine d(o(a)).\nAnswer: 7468*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8898007 and -10.\nAnswer: 8897997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/300302?\nAnswer: -3\/300302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 17 + 9*v + 11*v - 34 - 19*v.\nAnswer: v - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144.927 + -145. Let v = -5.173 - k. Let r = -5.12 - v. What is the biggest value in -2, 2\/9, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-5)\/(40\/(-6))). Let m(s) = -4*s + s + q*s. Let j(v) = 5*v. Determine j(m(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3162 is divided by 70?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 4*r**2. Let o be g(-4). Suppose o = 4*l + l - 5. Calculate the remainder when l is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1664898 + -304898. What is a rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**3 - 9*m**2 - 11*m - 7. Let h(v) = 3*v**3 - 8*v**2 - 10*v - 7. Let u(j) = 5*h(j) - 4*t(j). Let n be u(-3). Solve c = -n*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a day?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -54, -78, -98, -114, -126, -134?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10690 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361 - 8*t + 723 - 362.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1157904 is divided by 232?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.29 - 2.91. Let z = x + 3. Let s = -0.3 - z. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4133 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12371 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720))**2 - (sqrt(20)*1)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f + 1. Let m(h) = -13*h - 4. Let u(w) = 2*m(w) + 9*x(w). Let t(o) = -16*o - 18. Determine -2*t(d) - 36*u(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from lacgclaararllr?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2 = 6. Suppose -m*k + 44 = -k. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t**3 - t**2 - t - 1. Let a be x(-1). Calculate the common denominator of 85\/18 and a\/(-68) - 2090\/(-136).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -134724, -538894, -1212508, -2155566?\n\"Answer: -134722*f**2 - 4*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20191, 20189, 20187, 20185, 20183?\nAnswer: 20181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 8) to base 4\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/2 + 3*c**3 = 0. What is c?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 1:42 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 6:36 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19144 or 19143?\nAnswer: 19143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(133) + sqrt(133))*2 + sqrt(133)*-1*-1)\/(1*(sqrt(14)\/sqrt(2) - sqrt(7)) + sqrt(7)*-2*2).\nAnswer: -9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 502 and 706 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 62*u**3 - 2875. Let r(z) = -z**2 - 3*z. Let v(n) = -3*n**2 - 8*n. Let w(d) = -8*r(d) + 3*v(d). Calculate o(w(k)).\nAnswer: 186*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -2*s - 2*s. Suppose 72 = 2*p + s. Suppose 5*h - 3*h = 24. What is the highest common divisor of h and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -4 (b) 2 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8355.1 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let o = 7 - 4. Suppose j = -o*j + 8. Let f(w) = j*w + w - 4*w. Calculate f(p(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/3)\/y**(2\/9)*y*y**(-1\/9)*y\/y**2 assuming y is positive.\nAnswer: y**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 156\/5*t - 432\/5 - 4\/5*t**2.\nAnswer: -4*(t - 36)*(t - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/1225)\/((-1)\/(-45))*(-4)\/(-6)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4060013 is divided by 924.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/25 (b) 1\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0617 - -0.061700862. Round b to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - (2*sqrt(45))\/sqrt(5))\/(-4*1*sqrt(3) + sqrt(3) + sqrt(3)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 1 - 2 - 4. List the prime factors of m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4462.115 rounded to the nearest one hundred?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72899401?\nAnswer: 523, 139387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -25991*h. Let b(m) = -5*m. What is k(b(q))?\nAnswer: 129955*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(1\/5))\/l*l**3*l)**(-12)\/((l**(-1\/3)*l)**(2\/31))**(-3\/4) assuming l is positive.\nAnswer: l**(-8923\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 20*u**2 + 224*u + 44 = 0.\nAnswer: -11, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 21\/(-9))*-51. Let p = -12 - k. Suppose 6*t - p = t. Let l(z) = 4*z**3 + 2*z**2 - 2*z + 1. Calculate l(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1605 divided by 535?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*n + 5*m - 40, 3*n + 4*m - 24 = 0. Let a be n*(2\/(-1) + 3). Let l = 192 + -136. Calculate the greatest common factor of a and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*i**2 - 532 + 1044 - 512.\nAnswer: -216*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 11 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**2 - 8*z**2 - 4*z**2)*(14 - 1 - 3 - 2*z)*(5*z + z - z) to the form t*z + r*z**4 + p*z**2 + s*z**3 + k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -435*u**4 - 25*u**3 - 74021 wrt u?\nAnswer: -1740*u**3 - 75*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*g = -u - 11, -4*u = 5*g + 3. Let k(l) = 9*l + 19. Calculate the lowest common multiple of -1*1 + 7 + 0 and k(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22369310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11469348 is divided by 176451?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 341 + 243. Let t = -76 - k. What is the remainder when 129 is divided by t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**2. Let y(n) = 10*n - 6. Let r(g) = -7*g + 3. Let q(j) = 2*j - 1. Let w(s) = 4*q(s) + r(s). Let a(b) = -6*w(b) + y(b). Determine a(o(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4 - (-1)\/2. Let h = 0.9 - 1.3. What is the second biggest value in p, h, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 2896.2, 29.\nAnswer: 3\/5, 29, 2896.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**6\/24 - u**4\/24 - 2*u**2. Let r be m(1). Suppose q - 5*f + r = 2, 0 = -5*q - 2*f + 17. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1196 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 9\/(-2 + -1). Let o be (-1 - (2 + -4))\/1. Let r be (-2)\/b - o - -5. Solve r*l - 6 = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + s + 1. Let g = 3007 + -3001. Let p(a) = -a**2 + 11*a - 9. Let z be p(10). Let r(k) = -7*k**2 - 5*k - 2. Determine g*o(b) + z*r(b).\nAnswer: -b**2 + b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**3 - 8*t**4 + 6*t**4 + 5*t**4)*(-t + 0*t - 2*t).\nAnswer: -9*t**5 + 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7610, 7611, 7612, 7613, 7614, 7615?\nAnswer: 7616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: What is -0.11 times 2.76?\nAnswer: -0.3036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13222367 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**3 + 18*m**2 - 9*m - 6. Let b(h) = 82*h**2 - 399*h - 51. Let d be b(5). What is n(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*2 - (-14 + 14). Let g = -14 + 14. Which is the biggest value? (a) n (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 913, 604, 101, -584, -1439, -2452?\n\"Answer: 2*m**3 - 109*m**2 + 4*m + 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34036 and 1016.\nAnswer: 68072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -1.6, 0, -98?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*b - k - 19, 2*k + 26 = 5*b. Find the first derivative of -3*q**b - 53 + 42 - 132 - 60 - 3*q**4 wrt q.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**5 + a**5 - 6*a**5 + (28*a**2 + 25*a**4 - 28*a**2)*(0 + 2*a + 0) + (-5*a + 4*a + 6*a)*(-4*a**4 + a**4 + 2*a**4) - 2*a**5 + 0*a**3 + 0*a**3.\nAnswer: 42*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5430 - 5199 = 21*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 10*x - 6*x - 64, h + 15 = -2*x + 10 + 41 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 take away 140.56?\nAnswer: -141.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2736578 divided by 13?\nAnswer: -210506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7077, -14155, -21233, -28311, -35389, -42467?\nAnswer: -49545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0396503152 to 5 dps.\nAnswer: -0.03965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*o**4 + 26*o**4 - 1503 + 764*o**4 + 143*o**4 wrt o.\nAnswer: 3996*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j = 24. Suppose 2 - 14 = -3*y. Suppose j = 2*l - y. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*b + 12 = -3*s - 45*b, 0 = 5*b + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*s + k, -2*s - k = k + 14. Let v be s\/2*((-14)\/6 - 1). Suppose 154 + 467 = v*l - 3*w, 5*w - 15 = 0. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 + 251*u - 2674. Suppose 3*k = -s + 8, -3*k - 1 = 3*s - 19. What is the remainder when z(71) is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-2) - (12 + -51). Let p be y\/4 - (-9)\/(-12)*-1. Let z be 4\/p + (-18)\/45. Solve z*u = u - k, 0 = -2*u + k + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 130, 257, 384, 511, 638, 765?\n\"Answer: 127*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/28 + (-6)\/(-8). Let i be 7\/(t\/(-1) + 2). What is the greatest common factor of 70 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1862\/39 - 233374\/4875. What is the common denominator of h and -149\/1350?\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from khhhhkkkkkkhkhhkkhkh?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -6)*18\/27. Suppose -4*k + q = -0. Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1016840 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*x - 156, -2*y - 387 = -4*x - 99. Let a = 1779 + y. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6474*m**3 - 5 + 11 - 6.\nAnswer: -6474*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prrwwrrrrrubprh. What is prob of picking 1 h, 1 p, and 1 b?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 - 3*t**3 + 0*t**3 + 17*t**2 - 107*t**2 - t**3.\nAnswer: -9*t**3 - 90*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.9401.\nAnswer: -0.28203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - w. Let d(s) = -s + 1. Calculate the remainder when o(-2) is divided by d(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from iqycycilicw?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689737746 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.37 + -22.05. Let i = -1.68 - a. Sort -4, i, 0.1.\nAnswer: -4, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9354680 is divided by 372?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8224 - 74997.332.\nAnswer: -66773.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 14*n**2 + 16*n - 15. Let r be t(15). Solve 3*d - 3*a - 3 = r, -2*d = -0*a + 4*a - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - 2?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -8*z**2 + 25\/12*z**4 + 1\/10*z**5 + 0*z + 1 - 6*z**3. Factor x(m).\nAnswer: 2*(m + 9)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 7*q**2 + 5*q - 1. Let i be l(6). Let a be (-2)\/i + 452\/(-14). Let p = -19 - a. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 2 - (-2)\/4. Factor -b + 0*x + 1\/2*x**2.\nAnswer: (x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 710*x - 15*x**2 + 423*x**2 + 1920 - 184869*x**4 + 184870*x**4 - 2214*x - 42*x**3.\nAnswer: (x - 30)*(x - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1062082, 1062079, 1062074, 1062067, 1062058?\nAnswer: 1062047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.5 - -0.5. Let b = -11.99999 + z. Round b to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791931 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 214, -2644, -7320, -13808, -22102, -32196, -44084, -57760?\n\"Answer: x**3 - 915*x**2 - 120*x + 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 22. Let k be 1\/3*(y + 67). What is the greatest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 0*t**2 - 16 + 9*t + 11\/3*t**3. Differentiate v(a) wrt a.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6856.5054 - -1.5054. Let o = x - -6854.94009. Let r = o + 0.06. What is r rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 3 (c) 1\/4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50483?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 3:37 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2411 (base 5) to base 16.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.065 minus -42690058692?\nAnswer: 42690058696.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496922 is divided by 99383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4000 - 20?\nAnswer: -4020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.09 - -0.09. Let s = 2 - 17\/8. Which is the biggest value? (a) s (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213221030 (base 4) to base 7\nAnswer: 1244261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 11:36 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 + 222*b - 2*b**3 - 220*b - 22*b**3.\nAnswer: -34*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.154 + -0.346. Put -11, -3\/4, -1\/11, k in descending order.\nAnswer: -1\/11, k, -3\/4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-22))*(-768)\/(16256\/127).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11010211 (base 5) to base 2\nAnswer: 10111000011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3224 by 806.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + (-75)\/(-20))\/((-2)\/16). Let s be 15\/(-15) - (-7 + v). Solve 7*r - 9*r = s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*j - 3*o - 1, 3*j - 5*o - 16 = 0. Let l(b) = -4 + 4 + 2*b + 2 + j*b - 1. Determine l(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2*d + 153 - 3*d)*(d**2 - 4*d + 4*d).\nAnswer: 2*d**3 + 153*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.2+67991\nAnswer: 67988.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9616264 - 5921316. Suppose 0 = 11*p - 2058052 - m. What is p rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**3\/6 + k. Let h(s) be the third derivative of 1\/12*s**4 + 0 + 0*s + 0*s**3 + 9*s**2. Give h(f(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)\/(m*m**2))**(-4) assuming m is positive.\nAnswer: m**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-63*j - 4*j + 9*j)*((-1 + 1 - 2)*(-46 + 40 - 69) + 2 - 4 + 3 - 4 + 5 + 1) as u + m*j and give m.\nAnswer: -8874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 794 and 0.087041?\nAnswer: 793.912959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*z - 30 = 0, 13*a - 10*a = 2*z + 23. What is the remainder when 24 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3522425 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -5\/66*g**4 + 1\/55*g**5 - 14\/33*g**3 + 4*g + 8\/11*g**2 + 3. Let l(d) = 0. What is d?\nAnswer: -2, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205*l**2 + 3013*l**2 + 2330*l**2 to the form w*l + u*l**2 + a and give u.\nAnswer: 5138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 122549924 to the power of 1\/2, to the nearest integer?\nAnswer: 11070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 24*k + 10 - 22 to the form b + p*k and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7806617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -38*i + 3. Let z(b) = -533*b + 41. Let v(a) = -41*q(a) + 3*z(a). What is the remainder when v(-1) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (3 + -21) - (1 - 3 - 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61 - 16) + -8 + -13 + 22.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - j - 21 = -4*r, -4*j + 21 = 5*r. Suppose -3*v - 1 + 253 = 4*f, 2*f - 152 = r*v. Calculate the smallest common multiple of 20 and f.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 37. Sort -1, -4, 3, z in descending order.\nAnswer: 3, z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -6. Let d(f) = -f + 1. Let g be d(z). Calculate the greatest common divisor of 99 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460817 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -15*k + 11. Determine m(3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -12, 1.677, -0.1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 + -50. Suppose 891*a = 905*a. Suppose 4*u - 291 + y = a. Calculate the least common multiple of u and 22.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011100011110111010111 (base 2) in base 15?\nAnswer: 6b4479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 354\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -232 + 198?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 2*l - 4 + 0*l + 2*l. Suppose 37*f - 39 + 224 = 0. What is g(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**2. Let n be -12*((-8)\/(-2))\/(-16). Let v(b) be the first derivative of 0*b + 1\/3*b**n + 0*b**2 - 2. Determine f(v(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.239972 + -0.24. Round i to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -180585?\nAnswer: 180585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1546, -12248, -41252, -97708, -190766, -329576, -523288?\nAnswer: -781052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 52, 4, -2 in decreasing order.\nAnswer: 52, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*l - 6*l. Let i(k) = 2 - 3 - k**2 + l - 2*k - 5. Determine i(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**1)\/w**(-4)*w*w**(1\/2)*w**(-1\/5))\/((w\/(w**(2\/7)\/w*w))\/w**(-2\/3))**(-8) assuming w is positive.\nAnswer: w**(3433\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*f*i**5 + 1720*f*i**3 + 3*f*i**2 + 25*i**2 - 4*i - 17 wrt i.\nAnswer: -3240*f*i**2 + 10320*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 564*c + 584*c + 14 - 1691*c + 563*c.\nAnswer: 20*c + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -154*(-7 + (-9)\/((-54)\/39)) and 3878?\nAnswer: 42658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5008)\/(-144) + -29)\/((-4)\/3)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 2*o - 5. Let d be v(-5). Let h be (5 - -1)*5\/d. Solve -7 = 4*k + h*u, 5*u = -0*k + 4*k + 31 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29043*u**3*w**2 + 340*u**3 - 116*u**2 - 2*w**2 with respect to w.\nAnswer: 58086*u**3*w - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1001*u**2 + 959*u?\nAnswer: -2002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.3234 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 14, b: 5}. Give prob of picking 2 i.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from gvsgdssvsgr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**4\/3 - 376*k**3\/3 - 15832*k**2\/3 + 33184*k\/3 = 0?\nAnswer: -122, -68, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 267*r + 1869. What is x(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29686 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 46*s - 86. Let w be r(8). Suppose -w*h + 278*h + 12 = 0. Let b be 0*(-3 + 16\/6). Solve b = -h*i - 2*i + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 726679.9 millilitres?\nAnswer: 726.6799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/34 in 0.01, -4, 59?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*2*sqrt(275) - sqrt(275)))**2 - ((sqrt(275) - (1*sqrt(275) - sqrt(275))*5) + 1*sqrt(275)*5)**2.\nAnswer: 79200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -18*t + 17*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/6 - 1\/(-2). Let f(z) = -40*z + m - 2 - 1. Is f(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from fdfdfdddkkdkkkk?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x**3 + 3*x**3 + 9*x**3 + (810 + 771 - 1643)*(-2*x**3 + x**3 + 3*x**3) as z*x**2 + n*x + i + g*x**3 and give g.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = d + d. Let g = 0.14 - -3.86. Which is the biggest value? (a) 3 (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-593 + 989 - 514)*(-2 + 3 - 3)*(2*i - 6*i + 2*i).\nAnswer: -472*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34224 = -11*r + 350815. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 13*v - 8. Let n be a(-11). Suppose i + n = 3*i. Suppose 2*s = 4*o + 38, -i*s + 3*s + 4*o = -64. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 504 = p. Suppose p*g = -24 - 32. Which is the nearest to -177? (a) -3 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 245*j**2 + 45*j - 45. Let p(y) = 11*y**2 + 2*y - 2. Let w(z) = -2*g(z) + 45*p(z). Let x(h) = 78*h. Give x(w(a)).\nAnswer: 390*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 1, l: 1, e: 1}. Give prob of picking 1 d and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 84*d**4 + 10713*d**3 - 8324496*d**2 + 5937477*d + 2376222 = 0.\nAnswer: -1541\/4, -2\/7, 1, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 1. Let u(p) = 2*p. Let v be u(-1). Let t(o) = 3*o**3 + o + 1. Suppose 124*l - 116*l = -16. What is l*t(h) + v*m(h)?\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - 1) + (15 - 14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -529 (base 10) to base 15.\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1 + 1)*0. Let n(v) = 11 + 0*v**2 + k*v - 9*v + v**2. What are the prime factors of n(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6*0\/(-10). Let o be w - (-15)\/((-25)\/(-5)). Let n be 10\/o*33\/22. Solve n*z - 3 = -3*q, -5*z + 0*q + q = -19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + -1 + sqrt(1216) + -4.\nAnswer: -5 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 909 equal to 931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/20)\/(1\/130).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(68) - 2*sqrt(833))**2.\nAnswer: -72*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -12*q. Let a be u(1). Calculate the common denominator of ((-59)\/(-40))\/((-2)\/5) and (-3)\/a - 97\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17034 greater than or equal to -17036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*u + u + 5, -17 = -w + 5*u. Solve -w*z + 4 = -2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4 + 0*f - 10*f + 11*f**2 + f - f**3. Let j be q(8). Suppose 4*r = -2*x + j, 0*x - 277 = -4*x + r. Calculate the highest common divisor of x and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*-525\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + k + 13 = 4*h, -2*h + 4*k + 28 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40536450 + 40536445.99999952. Let a = -41 - -45. Let u = a + p. Round u to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21361, 21362, 21363, 21364?\nAnswer: 21365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(352\/9680 - 3\/(-495)*-171).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 11:55 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afnyyuyauayy. Give prob of sequence yyna.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10*h + 660 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1. Let a(b) = -b - 3. Let l(j) = -a(j) + 3*i(j). Let c be (-10)\/6 - (-2)\/(-6). Let r(n) = -n**3 + 2*n. What is c*l(x) + r(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 85 - u + 34 + u**2.\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -970 = -18*s + 398. What is the remainder when 221 is divided by s?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 396 and 3204?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46.694 and -0.5.\nAnswer: -23.347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9222496 is divided by 2108?\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j - 2753*j**5 + 8*j + 2743*j**5 wrt j?\nAnswer: -200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-29 + 36 - (5 - 1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20111 + 3?\nAnswer: -20103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 2*u**2 + 1. Let s be a(-3). Solve -5*f + 3*m = -3*f - 11, 4*f - 2*m = s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 27*p - 8. What is c(-5)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1879\/662 or -17?\nAnswer: -1879\/662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, p: 6, w: 4}. Give prob of picking 4 w.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -688?\nAnswer: -35\/688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 40 = -4*m, 2*v + 160 = 6*v - m. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -301 + 541. Let t = 1091 - a. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 - 17 + 51)*(-54*v + 87*v + 89*v) in the form i + m*v and give m.\nAnswer: 12810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 8.3. Which is the biggest value? (a) z (b) 0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15106 - -15105. Let o = 2.93 + -0.03. Let d = -0.9 + o. Which is the third smallest value? (a) w (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 31091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -3*z + 12, 5*w - 909 = -2*z. Find the common denominator of -1*(w\/36 - (2 - 0)) and (-56)\/(-9)*36\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 800 = -8*m. Is 38 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -2\/13 (c) -22148 (d) 0 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3464540\/181 at least as big as 19140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4, -28, -46, -40, 8, 116?\n\"Answer: 3*q**3 - 15*q**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9508 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-12.7449.\nAnswer: -2.54898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 96916, 194289, 291662, 389035?\n\"Answer: 97373*a - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 10*b = -14995. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*p = 27, i + 2*p = 3*i - 16. Let f(r) = r + i*r - r. Is f(3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 321132b + -2?\nAnswer: 3211329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 4*t + 100, -3*t - 1402*p + 1400*p - 75 = 0 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**42*w)\/w*w**(-23\/2)*w*w assuming w is positive.\nAnswer: w**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:58 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 8 = 2*z, -4*u = 3*z - 0*u - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 21. Is (-2)\/g + 440\/24 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yttyytyott. What is prob of picking 4 t?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.4 + -1.4. Let r = 68 - 59.6. Let m = r - x. Which is the third smallest value? (a) 1\/4 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**4\/12 - 13*w**2. Let v(h) = -7*h. Determine r(v(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.16 + -0.29. Let o = 1.81 - a. What is o rounded to 1 dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2395.8143 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -3*d + 48, -d - n - 660025 = -660032 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-720)\/(-30)*3*(-2)\/(-8). Let a(v) = 5*v - g*v + 12*v. Let p(f) be the first derivative of -11*f**2\/2 + 33. Calculate p(a(s)).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 71348832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a meter in millimeters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from wob?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 28 = d, 2*d = -5*c + 7*d + 35. Suppose c*w - w = 48. Let k be w + -10 + 17\/5 + -1. Is -19 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-774)*(-1)\/10*-8.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001097311378285 less than 0?\nAnswer: -0.001097311378285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-7))\/(312\/36309*19)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 50, 36, 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 28 + 8*r - 28. Let k(x) = 7*x. Let n(o) = -6*k(o) + 5*z(o). Let h(b) = -b + 1 - 1. Give n(h(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 10:11 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/7 + 22394*c\/7 - 583596\/7 = 0. What is c?\nAnswer: -11223, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*m + 16 - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-2\/21)\/m*m*m**1\/m*m assuming m is positive.\nAnswer: m**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 26199.\nAnswer: 52398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 9*x + 7835. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 27 = n, 9 = -11*k + 10*k - 2*n. Put 4, k, 1192 in increasing order.\nAnswer: k, 4, 1192","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 56, 51, 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -2*c - 3*o - 9, o = -2*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -52*d + 357 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.29 - 3.122. Let b = k + 0.8. Round b to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*x - 48, x = 3*w + 4*x + 126. Suppose 0 = -q + 156 - 27. Calculate the remainder when q is divided by (-1328)\/w - 2\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31\/2 - -77\/5. Is m greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (0 + 7 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(343) + -2 + 1 + sqrt(343)*-2)*1 - 1*(sqrt(343) + sqrt(343)*-2 + sqrt(343) + 5 + sqrt(343) - (5 + sqrt(343) + -2)))**2.\nAnswer: 14*sqrt(7) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6021697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 561.9994 + -562. Round a to five dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 1 = -9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 995*f\/2 - 11707.\nAnswer: (f - 23)*(f + 1018)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/3494 or 1\/225?\nAnswer: -9\/3494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -506 (base 7) to base 11.\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 15) to base 6\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 9:35 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -26*o**3 - 5*o**2 - 5*o - 26. What is the remainder when v(-5) is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/21)\/(48\/28). Let g = 79\/252 + n. Solve -2\/7*d + 2\/7*d**4 + 0 + 2\/7*d**3 - g*d**2 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3 + 0)\/(7\/63).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 3*m + 1. Let r(w) = w**3 - w. Let o(c) = -4*c**2 + 5*c - 3. Let i(b) = -o(b) - r(b). Let n be i(2). What is the units digit of x(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m + 1. Let u be l(1). Let p = u - -9. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 333628, 1, 0.1, -4\/3.\nAnswer: -4\/3, 0.1, 1, 333628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (-2 + (-1*sqrt(245))**2))*4 - (1*(sqrt(45) + 4) + 0)**2.\nAnswer: -1033 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 2904831*d - 2904828.\nAnswer: -3*(d - 968276)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h**(-1\/3)*h)\/h)\/(h*h**(-26)))\/(h**(-18))**(1\/30) assuming h is positive.\nAnswer: h**(409\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 8, 3*p + p = 3*n - 22. Let v be (8\/(-24))\/(n\/28)*-3. Let q be v + (0 - 1) - (3 + 0). What is the greatest common divisor of q and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from vqqqqqqqvqq?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.2, -872, -0.8, -5, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-115)\/(-10) - 9). Which is the fourth smallest value? (a) 9 (b) 4 (c) m (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 10*j**3 + 13*j**2 - 10*j - 1. Let b(a) = 7*a**3 + 9*a**2 - 7*a - 1. Let s(h) = 7*b(h) - 5*g(h). Calculate s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f + 348 = -63*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2. Let j(i) = -2344*i**2. Calculate r(j(k)).\nAnswer: 10988672*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6635378293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000352164 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - g**2 + 3*g**2)*(-5 - 15*g - 16 + 26).\nAnswer: -45*g**3 + 15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 482054 and 4?\nAnswer: 964108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 3*h**2 + 7*h - 72. Let x be g(5). Solve -3*d = -1 + x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*z - 5367 = 0, -5*z + 9*z = 4*b - 4296. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*p - 142, 4*p + h - 188 = -h. Suppose 3*b - p = -2*i - i, 4*i - 70 = -2*b. What is the greatest common divisor of i and 266?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 3 - 12\/7. What is the smallest value in -3\/2, 5, 0.1, z?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14167680 divided by 177096.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*(-2)\/4)\/1 - 9. Put -3, -0.3, 5, l in decreasing order.\nAnswer: 5, -0.3, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**3\/3 - 39*k**2\/2 - 12*k. Let u be l(21). Suppose -10 = -8*y + u*y. Solve 0*o - y*b + 3 = -o, -2 = -2*b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 18.75816 decades?\nAnswer: 0.1875816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4208\/63120 + (-79)\/60 + 1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x + 0 - 1\/156*x**4 + 4*x**2 - 1\/39*x**3 + 1\/390*x**6 - 1\/2184*x**8 - 1\/1365*x**7 + 1\/195*x**5. Factor h(z).\nAnswer: -2*(z - 1)**2*(z + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -6 - (-2 + (1 - -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275 divided by 5.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1472*y - 17 = -1456*y + w - 1, 0 = -3*y + 2*w - 38 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10*(8\/20)\/((-828)\/345)*(-216)\/(-10)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhhhhehhhhehhhhh?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65247 and 69?\nAnswer: 1500681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -3*r + 7 + 49 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-495)\/10)\/(31 + (-2210)\/68)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g. Let x(q) = -268*q**2 + 24*q - 10. Let v(o) = -19*o**2 + o - 1. Let j(h) = 10*v(h) - x(h). Calculate j(k(l)).\nAnswer: 312*l**2 - 28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 14*f**3 - 8*f**2. Let o(d) = -d**3 + d**2. Suppose 0 = -12*y + 10*y + 2. Calculate y*b(l) + 8*o(l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252958 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -118055, -118056, -118057, -118058?\n\"Answer: -n - 118054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8968965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p - p**2 - 2*p**3 + p**2 + 12 - 13 in the form z*p**2 + g*p + c + y*p**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-88)\/16 + 1\/(-2). Let j(k) = 9*k - 21. Let h(z) = 1 + 1 + 4 + 4 + 1 - 5*z. Give y*j(w) - 11*h(w).\nAnswer: w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m - 38*m = 210. Let w = m - -78. Calculate the least common multiple of 22 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -48649*x**6\/120 + x**4\/24 - x**3\/6 - 181*x**2. Is q(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**2 + 117428*p - 88047960 = 0?\nAnswer: 770, 28587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millisecond in nanoseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -5, 3, 1, -247 in ascending order.\nAnswer: -247, -76, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 0.4. Let c = 0.1 - p. Let v = c - -0.5. Round v to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t + a - 33, 0 = -5*t + 5*a + 35. Suppose 184 = -t*i + 752. Let b = i - 17. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6.33 (b) -6 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (0 - (-5 - -3))) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + -4*(sqrt(931) + -3))**2.\nAnswer: -560*sqrt(19) + 14991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 26. Let m(y) = y**3 - 11*y**2 + 10*y + 10. Let r be m(w). Is r - -3 - 1*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1056*g - 1051*g - 5 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 2*s. Let k be 4 - 1\/2*2. Let p be y(k). Solve -3*x + p = 4*h, 2*x - 3*x = -2*h + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 4*x**2 + 3. Let t be 1 - 7\/(-1) - (4 + 0). Let f be r(t). What is the units digit of (-1*(-249)\/f)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 499\/10. Let s = 1\/15 + v. Let x = 6.0202 + -0.0202. Which is the fourth smallest value? (a) 2 (b) x (c) -0.4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c**2 - 4*c**2 + 2*c**2)*(-20*c + 16*c + 60*c)*(-5*c + 8 - 3*c + 5*c) to the form d*c**4 + u + q*c**3 + p*c + a*c**2 and give q.\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 y, and 1 x when four letters picked without replacement from {q: 2, x: 1, y: 1, o: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 122465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -14\/11 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g - 1. Let o be (-35)\/20 + 1\/(-4). What is h(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 8 + 5)*(-159 - 22*r + 159) + 4*r - 2*r + 0*r.\nAnswer: 200*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-1 - 0 - (-37 + (35 - 0)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/9964 and -23\/2444.\nAnswer: 129532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**2 + 2*c + 1038. Let v(n) = -4*n - 5. Suppose 5*o - 25 = -0*o. Let k be 16\/9 + 2\/9. Give k*v(t) + o*p(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + t + 54. Let c(d) = -d**2 + 4*d - 3. Let b be c(3). What is the units digit of i(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-2)*(-1 - 1). Let s = a + 15. Suppose -s*i = -3*f + f, 0 = 2*i. Solve f = -2*x - 2*o + 2, 4*x = 3*x - 3*o + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 6. Let c be 14\/(-16) - 2\/16. What is the third smallest value in c, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-428)\/40 + 10)*-2. Which is the nearest to 3\/11? (a) j (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-4) + 2\/4. Let z = 14 + 8. Suppose 5*j - 2*w + x = 23, -3*j + 4*w + z = 0. Solve j + 4 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**1\/k)\/k)**(-3\/2))**(-26) assuming k is positive.\nAnswer: k**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 4*w**2 + 3*w**2 + (-2*w - w**2 + 2*w)*(3 + 0 - 2))*(-7*w**2 + 2*w**3 + 7*w**2).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2002 and 37\/332332.\nAnswer: 332332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b = 98. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 10:07 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, y: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 2*b + 3. Let z be a(3). Let k(d) = -d**3 - 13*d**2 - 11*d + 12. Let h be k(z). Suppose -2*l + 90 = -h*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 4830670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -239, -515, -895, -1379, -1967, -2659?\nAnswer: -3455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151\/4 + -38. Let p = -8 - -3. Let j(d) = -d**3 + 6*d**2 - 4*d - 4. Let w be j(5). Put p, w, i in ascending order.\nAnswer: p, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z = 43*z - 135. Suppose 3*m + 3*p - z = -0*p, 0 = 2*p. What is the highest common factor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62, -65, -64, -53, -26, 23?\n\"Answer: j**3 - 4*j**2 + 2*j - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 2*o - 8, 2*o = -j + 4 + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + m**3 + 2*m**3)*(-3 - 3*m + 3) + 0*m**4 - 2*m**4 + 3*m**4.\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*((1000\/(-288) - -3) + (-16)\/(-72)). What is the nearest to -54 in 0.8, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*n - 24, -q + 4*q = -4*n - 31. What is the third biggest value in 0.3, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 + -5 + (4 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (370\/(-10))\/(-7*(-3)\/21).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-9)*((-133)\/5 + 27). Let q = 3 - 5. Let o be ((-4)\/6)\/(q\/9). What is the biggest value in l, o, -0.12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 4*h**2 - 4*h - 2. Let a = 140 + -142. Let o = 10 - 14. Let c be o + 1\/(a + 1). Give u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 11) in base 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/5 - 21*i\/5.\nAnswer: -3*i*(i + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*-2 + sqrt(1728) - sqrt(48)*-1)\/(sqrt(486)*-1).\nAnswer: 10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*f - 2*f + 5*v, 3*v + 1 = f. Let r = 5 - f. Let w(m) be the second derivative of -3*m**5\/20 - m**4\/12 + 8*m. Calculate w(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, -30, -111, -224, -369, -546?\n\"Answer: -16*o**2 - o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, e: 6}. Give prob of sequence ee.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -12*v. Let p(c) = c. Let q(m) = -15*m. Let g be (2\/5)\/(13\/(-390)). Let h(k) = g*p(k) - q(k). Determine 9*h(i) + 2*x(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 (base 7) in base 3?\nAnswer: 100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 154 (b) 2 (c) 3\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 9:40 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 2*p + 3*d, 2*d + 2*d = -3*p - 113. Let v = 105 + p. Let h = v + -71. What is the closest to h in -0.4, 1, 0.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - (2 - 4)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 31 = 2*t + t, 3*i - 25 = -5*t. Suppose -j - t = -6*j - 4*d, 0 = 3*j - 5*d - 16. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 271 - 190. Let p be (-14)\/(-3) - 54\/m. Solve -1 = f + b, -p*f - b = -7*f - 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24*18\/1296*1\/3\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273734967?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 2\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0 - 9*k + 1\/12*k**4 + 0*k**2 + 1\/6*k**3. Let t(g) = -8*g**2 + 7*g - 5. Let x(n) = -3*d(n) - t(n). Factor x(b).\nAnswer: 5*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 564133 - -5?\nAnswer: 564140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89732*f**3 - f**2 - 89732*f**3 + 4*f**4 + f + f**4 - 3*f**3 + 3*f**3 + (-2*f**3 + 3*f**3 + 0*f**3)*(3*f + f - 2*f) + f**4 + 0*f + 0*f.\nAnswer: 8*f**4 - f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 10. Let k(w) = 9*w**2 + 144. Determine f(k(p)).\nAnswer: -18*p**2 - 278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*d + 75 = 81, 8 = 2*o + 5*d for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, a: 1, t: 1, i: 2, p: 3, y: 3}. Give prob of picking 1 a, 1 t, 1 n, and 1 i.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-257871)\/(-86) + 2\/4. Suppose 7*c - 1327 = s. What are the prime factors of c?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (((-1 - 1 + 3)*(h + 0*h + 0*h) + 35 - 35 - 7*h)*(-2 + 1 + 0) + 2*h + 3*h - 3*h)*(2 - 6 + 0).\nAnswer: -32*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 548 divided by -6103\nAnswer: -548\/6103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**2 + 6*b**2 + 2*b**4)*(-3 + 4 + 0) - b**4 + b**4 - b**4 + 722*b**4 - 1306*b**4 - 155*b**4 - 1345*b**4 + b**3.\nAnswer: -2083*b**4 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6161 = 13*j - 4161. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5170*b*l - 23*b*y - 42*b + 2*l*y - 3*y wrt l.\nAnswer: -5170*b + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 84 - d1?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i + 1. Calculate the lowest common multiple of o(-1) and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddaddddadddddddd. Give prob of sequence ad.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/3)*u**(-9))\/(u\/u**(-4)*u)**(11\/7))**(-11) assuming u is positive.\nAnswer: u**(4565\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, g: 9}. What is prob of picking 2 o?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 - 13 = -q. Let d = -421\/4 - q. Which is the second smallest value? (a) d (b) 27 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(sqrt(1728) + 0 - sqrt(1728)))**2 - -4*-4*-2*(-1 + sqrt(300))**2.\nAnswer: -640*sqrt(3) + 9632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2046*m - 12 = 2050*m + 5*f, 4*m - 24 = 4*f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -5) + (-6 - -1) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((12 - 6) + -6)\/(-3 - -1). Let f be (-1 + 1)\/((-4)\/(-2)). Determine n so that 0 - 4\/7*n**3 + 2\/7*n + 2\/7*n**5 + p*n**2 + f*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**5*u + 10*a**2*u**3 - 6*a*u + 3*a + 2*u**3 wrt a.\nAnswer: -40*a**3*u + 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -123121?\nAnswer: -123104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p = -72. Let x = 52 + p. Let g = x + 22. Solve 3*r - 6 = v - g*r, -5*r + 4 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/25, -4.6, 1, 3, 0.5, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from llqqlq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 11) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 26 = -4*m, 10 = -0*o + 3*o + 4*m. Let i = o - 2. Let x be 2\/(i\/12800006) + -3. What is x rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {r: 8, b: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6e15 (base 15) to base 13\nAnswer: -a877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.13 equal to -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 10. Let f be (q*44\/(-8))\/(-1). Let d = f + -9. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 178*s + 6*s**2 - 177 + 179 - s**3 - 184*s. Calculate t(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((-2400)\/56)*(-2)\/7?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13957039?\nAnswer: 19, 97, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b = -40. Let x be (b - 5) + 0\/(-1). Suppose -6 - 14 = -x*d. What is the remainder when 8 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) 20 (c) -0.4 (d) -3\/4 (e) 0.5 (f) -269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -501990.5 rounded to the nearest one thousand?\nAnswer: -502000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0, 2\/8981, -4, 6, 3\/4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 140857315829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 5*g**2 + 4*g. Let d be v(-4). Let s be d + -14*(-3)\/(-6). Calculate the remainder when 14 is divided by 24*(-2)\/(s - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/(-10))\/4)\/((-32)\/80).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + -86.9. What is the nearest to l in 2, -12, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -62995*n - 65. Let i be z(13). Round i to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 4*a + 66, -2*r + 26 = 4*a. What is the greatest common factor of 184 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 = -27*q + 58 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 - 472 = -5*b. Suppose 6*j = j + b. Suppose 0 = -0*c + 2*c - 150. Calculate the highest common factor of j and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-55*z + 216*z - 46*z).\nAnswer: -230*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29734543963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**4 + 3*d**2 - 13*d - 3. Let z(c) = 3*c**4 + 4*c**2 - 14*c - 4. Let o(v) = 4*t(v) - 3*z(v). Find the second derivative of o(h) wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -2*f + 2, 0 = -4*j + 5*f + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1807389 is divided by 1030?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + r. Let w(c) = 18*c**3 + 6*c + 1. Let o(z) = 6*g(z) - w(z). What is the first derivative of o(i) wrt i?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1 + 12533*p**2 - 8*p + 7*p - 12532*p**2. Let i(x) = 2*x**2 + 12*x + 12. Give 12*d(m) + i(m).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*m = -4*m - 8, -2*i - 3*m - 7 = 0. Let c be -2 + 0 - 13 - (-2 + -1). Let y = c + 15. Solve -y*s + i = 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5526678 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 765 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 823*(-120)\/(0 - 6). Is 14 a factor of r\/28 + 11\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138962264 by -251288.\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 3\/7, 6\/41, 0.037, 0.29 in decreasing order.\nAnswer: 3\/7, 0.29, 6\/41, 0.037, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 12666416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**4\/24 + 2*i**3\/3 + 2*i**2. Let d be x(-2). Suppose d*c - 88 = -4*k - k, k - 145 = -3*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 - 212*z**3 - 5826*z**2 - 11024*z - 5408.\nAnswer: -2*(z + 1)**2*(z + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1332 - 5486*b - 662 - 670.\nAnswer: -5486*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2*3 + (1*sqrt(76) + sqrt(76))*-4)\/(sqrt(360)\/(sqrt(10)*-1)).\nAnswer: 14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n. Let r be y(7). Calculate the greatest common factor of 28 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(88\/30)*(-28)\/(-11)*(-726)\/(-330).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 4, -1 in increasing order.\nAnswer: -56, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.8 + 7. Suppose 2*v = 3*v + 3*u - 16, -2*u = 3*v - 20. Sort 0.1, t, v in increasing order.\nAnswer: 0.1, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*o + 178*o + 3*o**2 - 103*o - 5*o**2 - 25*o + 25*o + (-o + 0*o + 0*o)*(3 + 2*o - 3) in the form j + i*o + b*o**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.18 and -1359.01.\nAnswer: -1359.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 447 - 504.4. Let x = k - -53. Let y = x - -4. Sort y, 4, -0.01.\nAnswer: y, -0.01, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 21*l**2 + 97*l - 86. Determine w(-25).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a - 16. Suppose 5*h - 85 + 20 = 0. Let m be n(h). Let o = 55 - m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-42) + 74\/7. Suppose -x + 3*x = k*x. Sort 1, -3, x, 5 in decreasing order.\nAnswer: 5, 1, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = q - 19, 3*t = -4*q + 38. Let f = 8 - q. Does 10 divide (-18)\/(-4)*(-20)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451820 <= 451821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 376 and 352453.\nAnswer: 2819624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -21, -1\/5, -2\/7, 5, -0.08?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - g**2 - 203*g + 1314. Give h(7).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phtt when four letters picked without replacement from gktphttiigtkppi?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**3 - 2*a**3 - a**3)*(a + 4*a - 6*a)*(4 + 5 - 3).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136988407?\nAnswer: 136988407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llliiiilruiiiliii. Give prob of picking 3 l.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 17 = q. Calculate the remainder when q is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/((-33)\/(-99))*(-2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g**2 + 5*g + 8. Let u be p(-4). Suppose 3*m + 3*d = -m + u, -4*d = m - 45. What is the greatest common factor of m and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1293755 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 4*x**3\/3 + 24. Let p(y) = -82*y**2. What is p(u(b))?\nAnswer: -1312*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.49079 millennia in years?\nAnswer: 32490.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i - i + 36. Let m be 3\/(-6)*i + (-2 - -20). List the prime factors of (m\/(-6))\/(-1 + 474\/486).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 8*j. Let c be 6\/4*(6 + -4). Let w(q) = -4*q - 6*q**2 + 2*q**2 + 5*q**2 + 7*q. Calculate c*p(i) + 8*w(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.1 + 5. What is the nearest to y in 3\/4, -5, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, l: 1, j: 1, h: 1}. What is prob of sequence yly?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - n**3 + 4 - 3 to v + a*n**3 + u*n**2 + b*n and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -14, -72, -1, 8, 2 in ascending order.\nAnswer: -72, -14, -1, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d**(-1)\/d*d)\/d)\/d))**(-33)\/(d**(-1\/11)*d*d\/d**8*d) assuming d is positive.\nAnswer: d**(-1396\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-456)\/324*-9)\/((-4)\/(-6))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -22.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 - w + 1. Let z be i(-1). Let v(s) = -s**3 + 7*s**2 - 5. Let l be v(z). Let a(h) = -6*h - 9. What is the remainder when 79 is divided by a(l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12683\/9 - 1407. Let o = 1.03 + -0.93. What is the third biggest value in -3, k, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -699 + 258 + 441 + 1248*z.\nAnswer: 1248*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 - 322313301?\nAnswer: -322313122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193143347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 1. Suppose -3*s - 8 = t + 12, 0 = -t + s. Give g(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0151576 * -139\nAnswer: 2.1069064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m**2 + 58*m + 39. Determine b(11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7228.71 grams in nanograms?\nAnswer: 7228710000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4964308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41696554618 plus -531?\nAnswer: 41696554087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 170 = 3*n - 172, 3*n + 3 = -6*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 38*g**2 - 4*g - 79. Let l be q(-19). Suppose 4*p - 5*v + 4 = -6, -5*p = -v + 2. Let c(r) = 0 + 0*r + 3*r + p + 4. Determine c(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by -1170\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urriwikwwurikwki. What is prob of sequence iuu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 62 = 2*r - 10 + 63, 5*r = -3*j + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -19. Suppose 4*q - 5*q - 7 = j. Let f(k) = 4*k**2 - 9. Let z(u) = -2*u**2 + 4. Give q*z(y) - 3*f(y).\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9827990721454 + -0.4.\nAnswer: -9827990721454.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152 - 100. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 - 3*a**3 - 8*a**3 - a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13650 divided by 455\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3 + 2075*d**2 - 216315*d + 214245 = 0. What is d?\nAnswer: 1, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -181?\nAnswer: 6\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwf when three letters picked without replacement from fduwm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 556328285 to the nearest integer?\nAnswer: 23587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 - 308*u - 505. Let o be i(-101). Solve o = -2*q + 35*q + 231 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99860?\nAnswer: 2, 5, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 16*h. Suppose h = 3*f + 4*f - 21. Solve 7 = -2*o + f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -468 by -18.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4140 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1133 - 1136 - 15*t**2 + 11*t - 4*t in the form c*t + x + w*t**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7323*f + 3638*f + 3664*f.\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 388310431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -905*j**3 - 11*j + 32. Let f(g) = 2*g**3 - g + 3. What is 10*f(s) - z(s)?\nAnswer: 925*s**3 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5 + (5\/(-20)*-1242)\/((-18)\/(-528))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47408901?\nAnswer: 3, 71, 73, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b - -c8b0?\nAnswer: c8eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*(588\/2450 - (-156)\/(-25)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - d + 177, -3*d = 5*i - 580 + 140. What is the third derivative of -5052*m - i*m**5 + 5052*m + 9*m**2 wrt m?\nAnswer: -5460*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*v**5 - 2157*v**4 + 2*v**3 - v**2 - 1165910.\nAnswer: 4680*v**2 - 51768*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-4 + (-1 + sqrt(847) - sqrt(847))*-6*-1 + (sqrt(847) - 6*(sqrt(847) + 0)) + sqrt(847) + 2 + sqrt(847) + sqrt(847)*-1)*-1)**2.\nAnswer: 704*sqrt(7) + 13611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7621\/14 - 3792\/7. What is the common denominator of 1 + (-110)\/(-36) + -3 + 1 and p?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21740*h**3 + 10871*h**3 + 10866*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 + 317 = 119*p + 166 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 - -109. Let w be 16\/12 + -4 + x\/(-3). Solve -4 = a + 5*s, -2*s - w = -a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/246 and -3\/4?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*m**4 - 13*m**3 + 11*m - 13 wrt m?\nAnswer: 60*m**2 - 78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(190\/15 - -6). Let x be (90\/(-60))\/(3\/s). Solve 8*p = p - x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2389782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/((-4592)\/(-96)) + (-14)\/((-14)\/(-2)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 2:35 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 4*t. Let c be o(4). Suppose c*g = -4*g + 52. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 8*t**2 + 4*t - 18. Let s be r(8). What is the derivative of 7 - 48*q**3 - 4 - s*q**4 + 48*q**3 wrt q?\nAnswer: -56*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 37 = -3*g, 6*q - 257*g = -262*g - 99 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -383 - -390. Let l = 0.8 + -4.1. Let r = l + j. What is r rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*j = 1006, 200 = x + 2*j - 3*j. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i + 6. Let l be x(14). Let k = -77 - l. Let z(a) = -a**3 + 11*a**2 + 13*a - 7. Let c be z(12). Solve c = 3*w - k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from txjjpjitjthtj.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 + 132. Let f be (19\/38*u\/(-2))\/(-2). Determine q, given that -1\/2*q**2 + f*q**5 + 3\/2*q**3 - 3\/2*q**4 + 0 + 0*q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 5:20 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 7 + 77 = 0. Let z be 9\/(3 + m\/(308\/(-128))). Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 16. Let d = -25 - -57. Let c be 32\/3*144\/d. What is the highest common divisor of c and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2674, -2526, -2286, -1954?\nAnswer: -1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-2 + 1 + -2). Let h(s) = s**3 + 45. Let g be h(u). Let z(f) = -9*f - 6. Let x be z(-4). What is the highest common divisor of g and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 324 and 12.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + h**2 + 4. Let u be m(0). Suppose -o + 32 = -5*i + 5, 0 = u*o + 5*i + 17. Let q = -23.9 - -24. Sort q, 1, o in descending order.\nAnswer: o, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(-2*sqrt(1274) - sqrt(1274) - sqrt(1274)))\/(2*sqrt(32) - sqrt(72)*-1).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 8:49 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 = 0, 2*l - c - 33 = -3*l. Suppose 2*g = l*g - 8. Suppose 3*w + 2*z = 22, w + w + 7 = 3*z. Solve 1 = g*o + v + 8, 5*o + w*v = -16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/4)\/i**(5\/6)*i\/((i**(-6)\/i)\/i)*i*i**(-8) assuming i is positive.\nAnswer: i**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 11*i + 2. Let g be s(-9). Let p = g + -16. Solve -5*v + p + 6 = 4*a, a - 3*v = 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9779 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-6) - (-17)\/(-30). Let t = -3 - -1. Let l = t - -4. Which is the third biggest value? (a) h (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 61*h - 624.\nAnswer: -(h - 48)*(h - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9010? (a) 0.7 (b) 3\/5 (c) 0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Let r(n) = 6. Let a(v) = 7. Let i(c) = -5*a(c) + 6*r(c). Let k(o) = -o + 8. Let m(w) = l*k(w) - 2*i(w). What is the derivative of m(y) wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**7\/105 + h**6\/60 - h**5\/15 - 9*h**2. Suppose t(i) = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(84)*3 + 4*(1*sqrt(84) - sqrt(84)) + sqrt(84))*-5)\/((sqrt(72)\/sqrt(6) + sqrt(12))*-2 + 1*sqrt(588)).\nAnswer: -20*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-11)\/242)\/((-4)\/(-16)). What is the closest to 0 in 149, c, -3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -311, -5.\nAnswer: -311, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(126)\/sqrt(2))\/sqrt(9))*3.\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1945 is divided by 719?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27288)\/(-684) - 40 - ((-22)\/(-209))\/(2\/1157).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmpj when four letters picked without replacement from {m: 1, t: 2, p: 1, j: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711\/75660 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.58 - 2.44. Round n to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**2*v**2 - 269*l*v**2 - 3166*v**2 - 2*v + 23 wrt l?\nAnswer: -2*l*v**2 - 269*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-157)\/10990)\/(29\/(-33292))?\nAnswer: 82\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 22.6. Let b = 1 + m. Let x = -4 + 3.6. What is the nearest to 0.2 in x, b, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/(-216)*15\/10. Let k be 13\/21 - (-4)\/(-14). What is the nearest to 2 in k, x, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b - 4*b**2 - 1 + 2\/3*b**3. Factor a(j).\nAnswer: 2*j*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3945797292 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 679, 381, -123, -839, -1773, -2931, -4319, -5943?\nAnswer: -7809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2156)*-2 + -3)**2.\nAnswer: 392*sqrt(11) + 8673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13535?\nAnswer: 5, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q**2 + 14*q**2 + 2*q**2 - 4*q**2.\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g + 909. Let n(m) = -26*m + 2726. What is -7*b(o) + 2*n(o)?\nAnswer: -3*o - 911","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 511.3 + -511. Suppose 0 = 3*u - q - 1, 3*u = 2*q - 0*q + 5. Which is the closest to u? (a) -4 (b) 0.02 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*j + 3*j - 167, 4*j - 139 = 3*q. Suppose -3*r = 2*r - 15. Suppose -g + 4*o = o - j, 3*g - 54 = -r*o. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18282201 - 7?\nAnswer: -18282208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 7 + -4 + -2 - -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -54632279375 - -8852\nAnswer: -54632270523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/13312 + -24494071\/39936. Let w = m + 607. Let x = w + 6. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (-14 + 14 + 1 + (-6 - 0))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(18\/12 - 1). Let j be -3 + x*(-5 + 6). Solve -m - 15 = 5*s - j*m, 0 = -4*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/64 and 9\/6416.\nAnswer: 25664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 199 = 2*q, 0 = 5*q - 12*g + 7*g - 435. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -11. Let i = 22 + -16. Let q = i + 4. What is the remainder when q is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2)*(-50 - -10238). Suppose -16*l = -r - 746. List the prime factors of l.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21*(-2)\/15)\/((-39)\/(16965\/58)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 5\/6*z**3 + 1\/6*z**4 - 3\/2*z**2 + 7*z + 0. List the prime factors of r(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 536 and 118054?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1423 + -432. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 2, b: 1, v: 1, i: 2, t: 8}. Give prob of picking 1 b and 1 v.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 251911 - 6187 = -1621748. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n**2. Let w be (-5)\/2*(-54)\/45. Let q(g) = 4464 - 4464 + w*g**2. Determine q(s(a)).\nAnswer: 108*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -134, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c + 3?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1602228?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x**2 + 1408*x**3 + x - 23*x**4 + 25*x**4 - 1409*x**3 in the form z*x**2 + p + u*x**4 + m*x**3 + v*x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -2, 3, -7, 8 in ascending order.\nAnswer: -54, -7, -2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 169*a**4 + 1 + 95*a + 2*a**3 + 6*a**3 + 143*a + 2*a**2 - 239*a to v*a + j*a**4 + g*a**3 + t + s*a**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23794 is divided by 11736?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4749 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 5*d + 2*d + (d - 3*d + d)*(-1 - 1 + 0) - 2*d + d - 11*d - 4*d + 6*d - d + (-6*d - 2*d + 5*d)*(1 - 1 - 1) in the form x + v*d and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1135 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(sqrt(60)\/(sqrt(12)*-2*-5) + 1).\nAnswer: sqrt(5)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13234130 (base 5) to base 11\nAnswer: -91474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-234)*(-123)\/82*3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 48841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4415 and 30.\nAnswer: 26490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 1. Let l be d(2). Let y = 5 + l. Suppose y = 3*p + 9 + 6. Which is the third smallest value? (a) -1 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*y + 2*g + 92, -4*y = -3*g - 182. Let f = 69 - y. Solve 5*j - m = 2*m - 5, -f = -5*m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 3*l**5\/20 - l**4\/12 + 83*l**2\/2 + 146*l. What is the derivative of a(s) wrt s?\nAnswer: 9*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*y - 4*n + 2158, 0 = 2*n - 4. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q - 4, -u + q = 1. Let j = -0.038 - 24.562. Let d = j - -25. Sort 3, d, u.\nAnswer: u, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/16 and -91\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*o**2 + 278*o**2 - 752*o**2 + 137*o**2 + 123*o**2.\nAnswer: -119*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60171, -59945, -59563, -59019, -58307, -57421, -56355, -55103?\nAnswer: -53659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*m - 59561, -r + 9454 = 5*m - 2489. Calculate the least common multiple of 8 and r.\nAnswer: 23816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 63, 74, 109, 180, 299, 478?\n\"Answer: 2*s**3 - 3*s + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2907 >= 2831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 10 = 6*j. Suppose -j*w - 29 = -15. Let r = 265 - w. Is 42 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*q**2 - 13934*q + 6963*q + 6971*q.\nAnswer: 47*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w**4 + 12*w**2 + 15*w - 154. Let o(g) = -g**4 + 2*g**2 - 1. Let h(i) = b(i) - 6*o(i). Differentiate h(p) with respect to p.\nAnswer: -12*p**3 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 2374.\nAnswer: -5\/2374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 109*r**3 + 4*r**2 - 3*r - 11. Let l(t) = 2*t**3 - t**2 + t + 3. Give c(a) + 3*l(a).\nAnswer: 115*a**3 + a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*i + 4. Suppose -5*n - 14 = 3*r, -i = r - n + 7. What is the units digit of 24\/r - (-8 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242631771 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: Simplify ((sqrt(275) + 1*sqrt(275))*-5*-1)**2.\nAnswer: 27500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/(0 - (-2)\/(-1)). Let j be c\/(-39) + (-36)\/234. Suppose -j*i + 1\/3*i**3 + 1\/3*i**2 - 1\/3 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106597 + -35146. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d + 20 = 0. Suppose 0 = -3*s - v + 18 + 22, -s + 3*v + 30 = 0. Solve d*n = s - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five quarters of a microgram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -0.17631\nAnswer: 0.17631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 8. Let k(i) be the third derivative of 0 - 3*i**2 + 0*i + 0*i**4 + 1\/30*i**h - 1\/300*i**5. Determine j, given that k(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2584698 divided by -6.\nAnswer: -430783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0.3. Let n = 247.14 - 247.64. Which is the closest to t? (a) n (b) -5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/6, 60, -1, 10, -0.2, -11 in increasing order.\nAnswer: -11, -7\/6, -1, -0.2, 10, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (7 + -7 + 11 - 12) - 30?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f + -4ce2d3?\nAnswer: -4ce2f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16619 + 16629. Solve -9*r + m*r = 5*g + 3, 3*r = 6*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005562 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 428 - 428. Factor -4\/3*q**2 + 0 + 2\/3*q**3 + z*q.\nAnswer: 2*q**2*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (102\/119)\/(1\/(-7))*(-4)\/(-44)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -465*k**2 + 4*k - 6. Let p(r) = 2*r**2 - r + 1. Calculate a(u) + 4*p(u).\nAnswer: -457*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*1 + (4 - 0). Suppose -w + 6 - 2 = 0. Suppose w = -0*z + f*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.7030506 to 2 dps.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3584439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3037*((-32)\/28 - -1). Let m = 433 - h. Let s(q) = -q**3 + 8*q**2 + 9*q - 2. Let p be s(9). Which is smaller: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210599422 and 1166.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7282, 9484, 11686?\n\"Answer: 2202*v + 5080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -15*t + 189. Let f be d(13). What are the prime factors of (-6)\/(5 + f) - -519?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 9. Suppose 5*l - 4*o - 41 = 0, -12 = -l + c*o + 5. Suppose 5*i - 35 + l = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 54.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 - 46. Suppose -j + 5*j + 4*u = b, 4*u - 5 = -j. Let s be ((-564)\/(-5))\/(8\/100*j). What is s rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -326716 - -5?\nAnswer: -326711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 48.3. Let l = -47.5 + d. What is l rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 149, 339, 605, 947, 1365, 1859?\nAnswer: 2429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 11:43 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 10 = 2*w. Suppose 49 + 26 = 5*q. Suppose 0*m - 3*h = -m + q, m - 4*h - 18 = 0. What is the greatest common factor of m and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = o + 6. Let l = -32 - o. Solve l = 3*f - 3*c, -3*f + 5 = -f - c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*i - 5*i - 48 = 0, 5*i = y - 16. Suppose -s = -3*s + 26. Suppose y*t - s*t - 6 = 0. Solve a + t*f + 1 = -2*f, 0 = -4*a - 3*f - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/3 - 2660*n**2 - 21344*n - 128192\/3.\nAnswer: 4*(n - 2003)*(n + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t. Let w(l) = 11*l**2 + 3139224. Determine o(w(i)).\nAnswer: 44*i**2 + 12556896","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.00794515 (b) -3 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/7 + (-12)\/42. Let k(c) = -c**3 - 3*c**2 - c + 4. Let l(n) = 3 + 2 - 3 - 1. Let q(d) = a*k(d) - 5*l(d). Give q(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -69 + (2 - -15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((16 - 16 - 4*u)*(1 + 3 - 3) + 5*u - 3*u + 7*u)*(5*u - 2*u + 0*u).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.074683259 to five dps.\nAnswer: 0.07468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1107 and 594?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b**2 - 2*b)*(1 - 5 + 2)*(-8*b + 18*b + 53*b).\nAnswer: 126*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 176, 0.3, 2, -1\/2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 64*g - 8. Let w(d) = -31*d + 3. Let u(y) = -2*l(y) - 5*w(y). Let j(x) = 11*x**2. Determine j(u(a)).\nAnswer: 8019*a**2 + 594*a + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2515.2 to the nearest 10.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110374 - -4?\nAnswer: 110400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/(-16) + (-6)\/(-4). Let p(m) = m**3 - 2*m - 3. Determine p(i).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 37, -17 in decreasing order.\nAnswer: 37, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -26*z**3 - 40*z**2 - 1979*z - 20. Let v(m) = -9*m**3 - 14*m**2 - 659*m - 7. What is 6*q(w) - 17*v(w)?\nAnswer: -3*w**3 - 2*w**2 - 671*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -426 + 426. Let h = 12 - 9. What is the nearest to 3 in a, -7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 17 + 89. Let a(j) = -16*j. Let g be a(-2). Let o = n + g. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 = -7*c - 7*c. Calculate the lowest common multiple of c and 11.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 39*x + 175. Let a be y(-43). Find s, given that -83 - 96*s**4 + 39 - 225*s**2 - 56 + 91*s**4 + 70*s**a + 260*s = 0.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - ((-6 - -2) + 3). Suppose -27 = -g*l - 7. What is the greatest common factor of l and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -163. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4472 = 5*o + 4412 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 79 from -6310.561.\nAnswer: -6389.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 + 5369?\nAnswer: 5131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38699 divided by -5?\nAnswer: -38699\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141557, 283105, 424643, 566165, 707665?\nAnswer: 849137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/88*8\/(-6). Let j be (-456)\/(-266) - 34\/21. What is the third smallest value in j, n, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, t: 1, z: 2, c: 2}. What is prob of sequence qqt?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 5, 4, 0.5 in increasing order.\nAnswer: 1\/8, 0.5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z - 10. Let s be a(2). Solve 2*j = -s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (419 - 697 + 2205 + 693)*(-2*m + 0 + 0).\nAnswer: -5240*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -4 + 6 + (289 - 20\/4) and 77.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3305 + -17?\nAnswer: 32ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - h**2 - 5. Let z be m(0). Let x(a) = a**3 + 9*a**2 + 2*a + 1. Let b be x(z). What is the highest common divisor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-317)\/(-7) + 2 + 16\/(-7). Suppose -39*w**4 - 28*w**2 - 10*w**4 - 8*w - r*w**3 + 157*w**3 + w**4 = 0. What is w?\nAnswer: -1\/6, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-24) - (-71)\/2. Let g = -5 - -8. Calculate the least common multiple of g and (-4 - h\/(-5)) + 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 6*n + 4. Let b be l(6). Differentiate 326 + 3*j**3 - b*j**3 - 344 with respect to j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)*a)**(1\/41)*a**(2\/11)*a**(-2\/11)*((a**0)**(14\/5))**37 assuming a is positive.\nAnswer: a**(5\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -58*f - 3. Sort -2\/5, -4, 16, f in increasing order.\nAnswer: -4, -2\/5, f, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**3*v**2 - 2*j**3*v - 7*j*v**3 - 6457*j*v + 41*v**2 wrt v.\nAnswer: 6*j**3 - 42*j*v + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 5:56 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8365*h**2 - 4809.\nAnswer: -16730*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 2:06 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 156534 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/17040 and 161\/23712.\nAnswer: 8417760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 18}. Give prob of sequence rr.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1541*44.\nAnswer: 6.7804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**6 - u**3 + u**2 + u + 1. Let a(v) = 50*v**6 + 5*v**3 + 5*v**2 - 7*v - 5. Let n(x) = a(x) + 5*k(x). What is the third derivative of n(r) wrt r?\nAnswer: 6600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.69389733 to two decimal places.\nAnswer: 2.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*x - 2 + 1 + 2.\nAnswer: -65*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) -1 (c) -0.1 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2009.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/8 (b) -144 (c) 0 (d) 1.7 (e) 0.17 (f) 0.5 (g) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 1 - (5 + -12 + (-11 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*b**2*n + 2*b**2 - b*n + 692*n - 1 with respect to b.\nAnswer: 224*b*n + 4*b - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 + -153. Solve -2*h - u = -4, 6 = 4*u - k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c + 43. Let g(r) = 8*r + 130. Let u(k) = 5*g(k) - 14*j(k). Let t be u(12). What is the greatest common factor of 84 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 11:40 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16566 and 194.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 12:23 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1281994*h*q - h + 3*q + 433150 wrt h?\nAnswer: -1281994*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -24 (c) 0.3 (d) 2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/418 and 51\/2090.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3663*f**3 - 92 + 3661*f**3 - 611 + 703.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (-3 + 28\/(-1)). Suppose -o - 6*o = -i. Solve -6*h**3 + 3*h + 11 + 3*h**2 + 3*h**5 - 15*h**2 + 6*h**4 - o = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z, 9*z - 8*z + 20 = 4*m. What is the second derivative of -1922 - u**m + u + 1913 - 53*u**5 wrt u?\nAnswer: -1080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26d92 + 9?\nAnswer: 26d9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 759, 1546, 2333, 3120, 3907?\n\"Answer: 787*s - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554, 593, 632, 671, 710?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372680?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 30*v - 900. Let j be h(30). Solve -3*b - i + 11 = j, 0 = 4*b - b - 5*i + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24005 is divided by 7740?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/10*(-1 + (-2 - -3)). Suppose 5*l + 15 = 5*p, -2*l - 2*l - 5*p + 24 = k. Calculate the remainder when 3 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - -4. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -110?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16301 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 43*r**5\/60 - 29*r**4\/24 + 127*r**3\/6 + 11*r**2 - 3*r. List the prime factors of t(4).\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 17*t**2 + 2. Let w be m(-2). Is (-20)\/w + (-163)\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8115 - -8367. What is the remainder when s is divided by 36?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260967 is divided by 3299?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 + 13*l + 53. Let v be h(-5). Calculate the highest common divisor of v and 378.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383.7853 years in months?\nAnswer: 4605.4236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -288, -344, -438, -570?\n\"Answer: -19*x**2 + x - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61 or 0.070054?\nAnswer: 0.070054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -25. Sort j, 5, 1 in ascending order.\nAnswer: 1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3.6. Let p = 3 - 2.9. Let k = p - 0. Which is the nearest to z? (a) -5 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-9 - -7) + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - 3*r**3 - 2*r + 0*r**3 + 0 + 2*r**3 + 14 + 4 + (3*r - 23 + 23)*(5*r**2 - r**2 + 0*r**2) in the form a*r**3 + q + b*r + f*r**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -0.02, 2, -11\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*n + 67*n + 18. Let y(x) = -12*x - 19. Let k be y(n). Solve 0 = k*v - 0 - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4320, -7398, -10476, -13554, -16632, -19710?\nAnswer: -22788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1512901038 is divided by 461?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 375549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 425874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - a8?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p + 1. Let h = 9545 + -57265\/6. Let v(q) be the second derivative of -q**2 + 13*q - h*q**3 + 0. Calculate -7*i(o) - 4*v(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n + 5. Let q(s) = -39*s. What is q(m(h))?\nAnswer: -312*h - 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (107 - 54 + 106)*(-7 + 6*x + 7)*(5*x - 4*x - 2*x)*(3 - 2 - 3)*(0*x + x + x) in the form f*x**2 + m*x**3 + l + u*x and give m.\nAnswer: 3816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let y(h) = -5*h**2 - 103*h - 60. Let g be y(-20). Is 2\/25583 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - 2*g**3 - 2*g**3)*(-g - g - g).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:08 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*n + 46*n + 100. Let z = n - 47. What is the derivative of 23*t**z + 3 - 1 - 1 - 3 wrt t?\nAnswer: 69*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -186, -365, -544, -723, -902, -1081?\n\"Answer: -179*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(385) - sqrt(385)*-4))\/sqrt(11))\/(-1*2*sqrt(405)).\nAnswer: -5*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47267145*d*i**3*q**2 - 588525*d*i + 34*i**3*q wrt q?\nAnswer: -94534290*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmw when three letters picked without replacement from wwtemmwtettt.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84\/13 + -827\/130. Let k(m) be the second derivative of 0*m**3 + 1\/6*m**4 - d*m**5 - 1\/4*m**6 + 2*m + 0*m**2 + 0. Suppose k(f) = 0. What is f?\nAnswer: -2\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + o - 6*o - 12, -4*k + 5*o + 27 = 0. What are the prime factors of (12\/k)\/((-4)\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*i + 63 = 22 - 269 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4063 divide 46797634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 99547016099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*y + 1 + 1, 31 = -4*z - y. Let b = z - -8. Let a = -8 + 3. Put a, b, 3 in decreasing order.\nAnswer: 3, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016 less than -188\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggqggggqqgqqgggggg. Give prob of picking 2 g and 2 q.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -20*a**3 + 2*a**2 + 6*a - 7. Is k(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35 + 7 + 76 + 56*g**4 + 29*g**4 + 21 wrt g.\nAnswer: 340*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*t - 7*t - 7*t)*(12*t**2 + 23*t**2 + 5*t**2).\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 14. Let s be v(-4). Let b(w) = w**2 - 10*w + 19. Is b(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from uquuuquqqq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6549 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2303223042 (base 5) to base 3\nAnswer: -100122210000022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1769 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-3))\/((-8)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -2)*(0 + 5). Let n(l) = 6*l. Let s(o) be the third derivative of -o**4\/24 - 2*o**2. Calculate w*s(g) + n(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - ((-16 - -12) + (-76 - -7))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4346693353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-6 + 12 + -16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14852 + -14849. Let p = -7 + 11. Factor 0 + 6\/7*q**y + 3\/7*q**2 + 0*q + 3\/7*q**p.\nAnswer: 3*q**2*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r + 89*r - 448 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*n - 30247 - 19649 = 7*n + 261*n for n.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 15 = 5*j, 43*w = 59*w - 2*j + 82 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 65?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-2\/43)*c)*c*c*c*c**33)\/(c**(-2\/43))**(-31) assuming c is positive.\nAnswer: c**(1488\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53\/5 of a decade?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/3 + 9290*i**2\/3 + 3597552*i + 3594456 = 0. Calculate i.\nAnswer: -2322, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 17 - 13 - -10) + 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 111*c - 98. Calculate o(-110).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:45 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-16)*h*((h*h*h\/(h\/(h\/(h**(-2\/31)*h)))*h)\/h)\/h assuming h is positive.\nAnswer: h**(-401\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/9 (b) 0.4 (c) 16984 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = -6, 3*b + 4*l = 245. Let z be -1 + 7 + b\/(-15). Calculate the common denominator of -17\/33 and 9\/36*((-100)\/(-9))\/z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 588 and 637?\nAnswer: 7644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3102882.3 hours?\nAnswer: 18469.5375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2025\/(-90)*(-41 - (0 + 1)). Suppose -3*t = -10*t + v. Calculate the remainder when t is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3685111 plus 0.2?\nAnswer: -3685110.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b - 16*b + 49*b - 15*b - 12*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s**2 + 22. Let q(a) = -a**2 + 4. Let z(i) = 2*p(i) - 11*q(i). Let b(x) = -6*x + 36. Give b(z(n)).\nAnswer: 6*n**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {u: 2, b: 1, v: 1, x: 1, m: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 307783 divided by 1?\nAnswer: 307783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0 - 5\/6*z**3 + 1\/4*z**5 + 0*z**2 + 22*z + 0*z**4. Find the second derivative of l(w) wrt w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85374)\/(-342))\/(-17) - (-17 - -2)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 507074281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64262466.\nAnswer: 2, 3, 443, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3 + 1920*o**2 - 27174*o + 95452 = 0 for o.\nAnswer: -974, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(4\/5)*g*g)\/g**(-1))**(-3\/5)*(g**(-1))**(-26)\/(g**(-6)\/g**(-5)) assuming g is positive.\nAnswer: g**(618\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 90*m**2 - 1012*m.\nAnswer: -2*m*(m - 23)*(m - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o + 0 + 0 - 10 + 0. What is the units digit of y(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a century in decades?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2232241 to the nearest integer?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1581*q**3 - 57*q**2 + 68*q - 12. What is u(1)?\nAnswer: -1582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = l + 20*l. Sort -5, 4, l, -3 in decreasing order.\nAnswer: 4, -3, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673611.\nAnswer: 3, 151, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -681.78*0.8\nAnswer: -545.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67869 and 9637398.\nAnswer: 9637398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 3*l**2 + 2*l**2)*(-5 - 2 - 4)*(l**2 - 3*l**2 - 4*l**2).\nAnswer: -198*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1424999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, 2\/11, -29509, -3\/7, 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, v: 1, g: 2}. Give prob of sequence geeg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*j - 151. Let b(k) = k**2 - 185. Calculate the remainder when b(-15) is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 + -122. Suppose -n - 5*y = -5, 0 = 3*n - 5*n - 3*y + 3. Suppose 2*m + 2*b - 16 = -0*b, 5*m - 3*b - 8 = n. Sort r, m, 3.\nAnswer: r, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - y**2 + 2. Let s be p(1). Is s less than -2\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91390?\nAnswer: 2, 5, 13, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjjj when four letters picked without replacement from {w: 11, j: 5}.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.042 - -0.058. Let s = t + -0.07. Let l = -1.5 - 0.5. What is the second smallest value in l, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8011 - -8021. Let b = -0.1 - -0.2. What is the closest to b in s, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-77)\/(-21)*2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 106820*n**2 + 6619957*n + 102594438.\nAnswer: (n + 31)**2*(n + 106758)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 9, 4*i = -0*l + 5*l + 7. Let h(n) = -n**2 - n + 1. Let c(a) = -a**3 - 3*a**2 - 4*a + 2. Let p(f) = l*c(f) - 6*h(f). Determine p(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b**2 + 6*b - 6. Let g be 1\/(-3) - 152\/(-24). Let a(p) = 7*p**2 + 5*p - 5. Let z(t) = g*a(t) - 5*n(t). Let c(v) = 4*v**2. Calculate z(c(y)).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - n + 2*n + 4, 0 = -2*g + 3*n + 6. Let j be (g\/(-5))\/(45\/2400). Let a = 66 + j. Solve -a*p = -1 - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 12*g**2 - 36*g + 2. Let a be y(6). Let m(d) be the second derivative of 1\/5*d**5 + 2*d**3 + d**4 - d + a*d**2 + 0. Solve m(w) = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 74\/5 of a microgram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23227 is divided by 176.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -353276 and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8101502 and -9323?\nAnswer: 8110825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Let n(f) be the third derivative of 0*f**3 + 17\/24*f**4 - 2*f**2 + 0*f + 0. Calculate o(n(m)).\nAnswer: -289*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 210\/28*(-8)\/10. Let o(l) be the second derivative of l**5\/20 + l**4\/2 + l**3\/6 + 2*l**2 + l. Give o(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227805 is divided by 6807.\nAnswer: 3174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Suppose -4*q + 0 = -4, -2*o = -4*q. Suppose o*s - 5*s = -3. Let m(h) be the second derivative of h**4\/6 + h**3 + h. Calculate s*m(w) - 6*x(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-3*1)**2 + 1 + sqrt(200) + sqrt(200) + 1.\nAnswer: 20*sqrt(2) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 1.3 (c) -5 (d) -55 (e) -0.39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -14*z**2 - 3*z - 2. What is p(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14879 - -1293. List the prime factors of n.\nAnswer: 2, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 1335633594804.9?\nAnswer: 1335633594804.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10816)\/4732)\/((-6)\/7)*(-57)\/4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/384 and (-3085)\/480 + 3 + (-8)\/(16\/(-10)).\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 4513146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2772562 (base 8) to base 14.\nAnswer: 16588a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 4717?\nAnswer: -4717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/2 of a decade?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/8 - 13\/56. Sort 0.5, -0.4, k in ascending order.\nAnswer: -0.4, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*j + 34 - 48 = 0, j = -4*f + 5. Solve -13*d + f = 54 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -306 + 305. What is the hundreds digit of 9\/(-36) + i\/((-4)\/2945)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10664*w**3 - 33*w**2 + 7*w + 792726?\nAnswer: 63984*w - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 20\/7*h**3 + 12\/7*h + 2\/7 + 24\/7*h**2 + 6\/7*h**4 = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17024 and 1682792?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.25 + -15.25. What is the nearest to 4 in b, 5, 4, -34?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -2. Let v = i + 17.0042. What is v rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 + 13*y**2 + 135*y - 821. Determine t(5).\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 2. Let b(q) = 7*q - 11. Let p(d) = 6*b(d) - 39*x(d). Let v be p(-4). Solve v = -5*u - 0 + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s = -k - 36, s - 2*k = 2. Calculate the highest common divisor of s and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**3 + 5*i**2 + 7*i + 6. Let a(w) = -w**3 - w**2 - w - 1. Suppose -37*z = -46*z + 693. Suppose 0 = 7*c - 70 + z. Give c*j(y) - 6*a(y).\nAnswer: -y**3 + y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 4*r**4 - 5*r**4 - 3 + 0 + 17*r**2 - 14*r**2 to o*r**2 + w*r**4 + d + z*r**3 + c*r and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 9*c - 11. Let u be w(8). Let x(m) = -m**3 - 3*m**2 - m - 3. Let j be x(u). Solve 3*i - 24 = -3*r, 4*r + j = 2*i + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -902, 8, -0.3 in decreasing order.\nAnswer: 8, -2\/19, -0.3, -902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37\/69 - 3\/23. Let f = 0.341 - -0.059. What is the closest to -0.1 in 0.3, c, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 4*n + 3*s, 5 = 2*n + 3*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34294 + 34290. Let q = -13 - -9. Let o = 39\/85 - 1\/17. What is the closest to y in o, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(76) + sqrt(76))*1*-1)\/(1*sqrt(324) + sqrt(324) - sqrt(900)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (5 - 11) - -3. Let k(c) = -c**3 + 12*c**2 - 12*c + 10. Let v be k(11). Sort g, -2, v in decreasing order.\nAnswer: g, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-153))\/(26\/(-39)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11744 - 11743.97. What is the closest to o in -2\/3, -0.01, -2, -73?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1137\/7 <= -161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3.02 * -59\nAnswer: 178.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -28, 9, -4, -0.1, 8, 17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 393727 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 24*q**3 - 2*q**2 + q + 1. Let i be p(-1). Let t = i - -27. Solve 3*l = -v + t, -3*v - v + 5*l = -21 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 14. Let a(w) = -w**2 - 21*w - 62. Let t be a(-4). Determine l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42429 is divided by 2100?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18784675 and 7802865.\nAnswer: 507186225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exge when four letters picked without replacement from xegexg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -15. Let w be (4 + (2 - 5))*(2 + 358 + 6). Calculate the highest common factor of b and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 314*m - 151*m - 155*m to the form c + l*m and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.5111 - 8.4427. Let r = i + 52.9. Round r to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -6\/11 (b) 0.4 (c) -3\/8 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29805516 is divided by 11716?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0 + 2*m)*(-528*m + 1143*m - 540*m)*(0 + 4 - 3).\nAnswer: 150*m**2 + 225*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-12)*2*-30. Solve -3*n = -4*o + f, -4*n + 3*o + 0*o - 13 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 990 divided by -5.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2507 divided by 2.\nAnswer: 2507\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 641\/4147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 844327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:34 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 59. Let w be q(-24). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -734*i + 2063404244 - 2063404244.\nAnswer: -734*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**2 - h - 3*h**2 + 0*h + 2 - 3. Does 2 divide t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 861169, 861252, 861335, 861418, 861501, 861584?\n\"Answer: 83*w + 861086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*o - 4784 = -1091*o + 241*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 15*n + 46. Let o be y(-11). Let v be (((-55)\/(-15))\/11)\/(o\/(-3)). Which is smaller: -2\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/(-792)*-136*5\/50?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3 + 1)\/(-36))\/(1\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + d + 2. Let q be n(7). Find the common denominator of 55\/16 and (-1)\/(q\/74) - -1.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -31. Let u = -12733\/2088 + -3\/232. Calculate the common denominator of (-8)\/(-54)*(-459)\/j and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/72896 and -64\/11373.\nAnswer: 48767424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 13*g**2 + 152*g + 71. Does 79 divide d(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + c**2 + 1. Let r(b) = b**3 - b**2 - 2*b. Suppose -6*p - 35*p + 52 = -67*p. Determine p*j(n) - r(n).\nAnswer: -3*n**3 - n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 55. Which is bigger: 2\/407 or m?\nAnswer: 2\/407","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 5 (b) 0 (c) -0.01 (d) 103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u**3 - 5*u**2 + 7*u + 7. Let g(d) = d**3 - 2*d**2 - 6*d - 3. Let i be g(-2). Let r(z) = 5*z**3 + 3*z**2 - 4*z - 4. What is i*r(s) - 4*t(s)?\nAnswer: s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*d + 14, -2*y - 89*d + 86*d - 8 = 0. Suppose -3*l = -5*l. Solve -2 = z, -3*s - y*z + z - 17 = l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -93, -187, -283, -381, -481?\n\"Answer: -p**2 - 91*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 192?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*j - 25 = -j, 5 = -d - 5*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 638 - 642. What is the third smallest value in -2\/9, g, -4\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-4)*m*m*m)\/m)\/(m**(-9)\/m))**(-3\/13)\/(((m**(-2\/9)*m)\/(m\/((m**(-1\/10)*m)\/m)))\/(m**(2\/3))**28) assuming m is positive.\nAnswer: m**(20057\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i - 594 = 3*o, -4*i - 3*o = -582. Let w = i + -125. Calculate the lowest common multiple of w and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59.7156 and -0.4?\nAnswer: 23.88624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 82, 401, -8, -1\/4 in descending order.\nAnswer: 401, 82, 0, -1\/4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 0, -2, 4 in decreasing order.\nAnswer: 4, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25065233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 146.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 + 13*m - 10. Let d(b) = -7*b**2 + 27*b - 20. Let l(i) = -2*d(i) + 5*k(i). Calculate the remainder when 53 is divided by l(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2069.00006432 + 2069. What is l rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.037 - -0.013. Let v = -493 - -492.7. Which is the closest to 0? (a) v (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 g, and 1 w when four letters picked without replacement from qqwwrrrrrrqwg?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -154819*y**4 - 163900.\nAnswer: -619276*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/(((i*i\/(i\/(i**(-5)\/i))*i*i*i*i)\/i)\/i))\/(i**(1\/7)*i)**(-1\/39) assuming i is positive.\nAnswer: i**(2738\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 0.1, 5, -4, 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*s - 125814*a - 344326*s with respect to s.\nAnswer: -2*a - 344326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*10\/780*169\/156\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -5*o + 3*r - 161, 4*o - r - 670 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/11)\/l**(-1\/6))\/((l*(l**(-1\/10)\/l)\/l)\/l**(-3\/4)) assuming l is positive.\nAnswer: l**(281\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 plus 5.993005?\nAnswer: -300.006995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 9 + -7 + 0\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53314215 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103730.3 rounded to the nearest 100?\nAnswer: 103700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -7*o - 8*o - 1 - 3*o - 7*o + 26*o. Let c(z) = 12*z - 15. Determine -c(x) + 15*i(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9248*y + 3071. Is x(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -216*m**2 - 1319*m - 2226587?\nAnswer: -432*m - 1319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -1462 (c) -2\/7 (d) 1 (e) -12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (17 - -2) - -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**2*k*r - 4*j**2*r - 8*j**2 - 59*j*k**4*r - k**4 wrt k.\nAnswer: j**2*r - 236*j*k**3*r - 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*t = 2 - 4, -r - 3*t = -5. Suppose -3*v = -r*v. Let j = -177 - -173. Sort v, 4, j in ascending order.\nAnswer: j, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n**4 - 2*n**2 + 4*n - 242 - 4*n**4 + 3*n**2 + 6*n - 7*n to the form z + d*n**4 + k*n**2 + t*n + j*n**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -195416 + -61?\nAnswer: -195477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12694207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1804167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -51, 2\/37, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vgggvvgvvvvggvvvvvv.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*u + 29, 3*u + 2*c + 0*c - 54 = 0. Let h = 94 - 46. What is the greatest common divisor of h and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 5*n + 7, 4*f - 4*n = 11 + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 786 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -m + 2, -2*m + 5*g = 3*m - 20. Solve 4*v - 10 = m*x, 0*x - 2*v = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456816 to the power of 1\/2, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, -115, 0.\nAnswer: -115, 0, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -2, 331, 2\/19, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8087*c - 9587 with respect to c.\nAnswer: 8087","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, 0, -63 in descending order.\nAnswer: 0, -2, -4, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1753 + 7057\/4. Let i be (7 - (-642)\/(-90)) + 38008\/3360. Let t = z - i. Is t at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 353, 946, 1953, 3386, 5257, 7578, 10361, 13618?\n\"Answer: 2*g**3 + 195*g**2 - 6*g + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 239*j**2 - 592*j**2 - 224*j**2 - 2747*j**2 - 1400*j**2 to z*j**2 + o*j + m and give z.\nAnswer: -4724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56\/3 + 19. Let r be 16\/12 + (-93)\/189*3. What is the second biggest value in r, -5, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -39. Let n(h) = h + 5. Let o be n(-3). Calculate the greatest common divisor of t and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -282 - 180. What is the highest common factor of v and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*t**2 - 2603*t**2 - 7*t**3 + 352*t**2.\nAnswer: -7*t**3 - 2153*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 28*x - 16. Let r(y) = -9*y + 5. Let t(o) = 16*r(o) + 5*s(o). Let f(a) be the second derivative of -a**4\/12 + 71*a. Give f(t(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b + -13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -268.93 - -0.0473\nAnswer: -268.8827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 272*d**2*h**3 - 2*d**2*h + 7*d**2 + 10*d*h**3 + 2*d*h**2 - 12*h**2 - 2*h wrt d.\nAnswer: 544*h**3 - 4*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/((-13134)\/198 + 66)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 - 0.1. Let l = 0.18 + 0.02. Which is the nearest to 0? (a) j (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -8 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2)*23\/((-161)\/(-798)). Let u = 226 - v. What is the remainder when u is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47810 and 0.0473.\nAnswer: -2261.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48048 divided by 3003.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-220)\/770)\/(100\/(-63)))\/((-30)\/(-50)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 303 - 211. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 1. Let a be (-2998)\/(-1590) + 1 + k. Let p = a - 1\/53. What is the closest to -2 in -1, p, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, n: 3, u: 1}. Give prob of sequence rn.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**5\/20 - 7*b**4\/12 - b**3 + 5*b**2 + 67*b + 3. Calculate i(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 75.171.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42160\/(-3720))\/(170\/(-540))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 4:58 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1269 - -1269.2. Which is the third biggest value? (a) 1\/4 (b) 142\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242920.2 micrometers in nanometers?\nAnswer: 242920200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + (sqrt(432)*-2)**2*4*-4.\nAnswer: -27648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 547988 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05854082 - -0.02654109. Let b = r + 0.032. What is b rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 6*p**2 - 7*p - 6. Let a be q(-5). Suppose 3*s = 4*h + h + 15, -a*s = 4*h + 12. Suppose 4*l - l = -6. Which is smaller: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18701 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*((-11)\/(-3) - 3). Suppose -x + s*x - 14 = 0. Suppose 0 = -0*u - x*u - 6. Sort 5, -1, u in increasing order.\nAnswer: u, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**3 - 2*v**2 + 7*v + 4. Let d(p) = 21*p**3 - 11*p**2 + 36*p + 21. Calculate 2*d(k) - 11*i(k).\nAnswer: -2*k**3 - 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 90. Calculate w(19).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (41 + -17 - 33) + -19\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(70\/(-4))*2\/(30780\/(-378)).\nAnswer: -2\/285","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l**2 - 3 + 1 + 0 + (-8*l - 5*l + l)*(l - 2*l - l) to the form w*l + h + r*l**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 244 and 24.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*f = 5*x - 5, -4*f + 26 = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 8) to base 10\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 + 197 = -3*y. Suppose w - 1 = 2. Find the second derivative of 2*d - 4 + y*d + 4 - 2*d**w wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 22 + 2*x - 11)*(-2 - 3 + 6) + (0*x + x + x)*((2 - 2 - 2)*(0 - 2 + 0) - 1 + 4 - 1 + 2 - 3 - 3).\nAnswer: 6*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336044?\nAnswer: 2, 84011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x + 36. Let a be p(11). Suppose 0 = -51*g + 55*g - a. What is the remainder when g is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -191146, -191147, -191146, -191143, -191138?\n\"Answer: m**2 - 4*m - 191143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1610?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -407893.6304 - -10?\nAnswer: -407883.6304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + 13*o**2 - 18*o**2 - 13*o**2 - 18*o**2 - 3 to the form c + d*o + u*o**2 and give u.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 2*j**2 + 1 + 4*j - 6*j. Let a(d) = 3*d**2 + 2*d. Let z(q) = 3*a(q) + 2*r(q). What is the units digit of z(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.57 in -0.3, -2\/3, -4, -2\/5, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3860640 a multiple of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640 = 3*t + 2*m, 2*t + 5*m - 2*m = 435. Let g be 0 - 4 - t\/(-40). Factor -g*z**2 - 1 - 3*z.\nAnswer: -(z + 2)*(5*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i. Suppose v = -1 + 11. Suppose -4*d + 3*l = -8, 2*d + 3*d - v = -l. Let q(a) = 2 - 5*a - d. Determine u(q(p)).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1172*y + 571*y + 597*y + 34. What is c(-5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(117) + 3) + sqrt(156)\/(sqrt(60)\/(sqrt(20)\/sqrt(4))))**2.\nAnswer: 480*sqrt(13) + 3553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d = 6. What is the smallest common multiple of 27 and d?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6)\/16 - (-8 + 1441\/(-88)) and 156?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.0385 + 0.0015. Let x = 24 - y. Let v = 4.05 + -3.05. Which is the smallest value? (a) x (b) -4 (c) 0.3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 7*f + 3*f + f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32147 is divided by 188?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 395*x - 18736. Give j(74).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5))**44 assuming l is positive.\nAnswer: l**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1153 - -12?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b. Suppose 0 = 20*s - 9*s + 66. Let k(c) = -c. Give s*k(g) + m(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1156517, 1156524, 1156531?\nAnswer: 1156538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmzootz. Give prob of sequence zoq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-190)\/(-76)*4\/5. Suppose 23 = -g*k + n + 166, -3*n - 360 = -5*k. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2. Let s(a) = -a**2 + 36. What is q(s(c))?\nAnswer: c**4 - 72*c**2 + 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -415, 0.3, -0.5, 1\/8 in increasing order.\nAnswer: -415, -0.5, 1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59455915 at least 59455915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 13*s**2 + 11*s + 59. Let j be l(14). Suppose 0 = j*z + 17 - 17. Solve z*t - t = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 149 and -1.2.\nAnswer: -178.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 2, -2\/7, -17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 3*i + i)*(-2 - 2 + 6) + i - 2*i + 3*i + 2 - 2 + i + (2*i - 67*i + 24*i)*(-1 + 2 + 1) - 4*i - 2*i + 4*i.\nAnswer: -77*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4362262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167 - 158. Calculate the least common multiple of 30 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 477551319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -49, -1, -2795, -1\/3 in descending order.\nAnswer: 1, -1\/3, -1, -2, -49, -2795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/2*p**2 + 1\/2*p**3 + 35\/2 - 33\/2*p = 0. Calculate p.\nAnswer: -5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 19*q**2 - q - 75. Let c(k) = 20*k**2 - 2*k - 79. Let s(z) = 6*b(z) - 5*c(z). Is s(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1332482 and 14\/5235?\nAnswer: 19987230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*c**3 - 344339 + 344339 - 19*c**3 + 8*c.\nAnswer: 27*c**3 + 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -11*i**3 - 6*i**2 - 67*i - 4. Let p(f) = 5*f**3 + 3*f**2 + 34*f + 2. Determine -7*p(q) - 3*u(q).\nAnswer: -2*q**3 - 3*q**2 - 37*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 8. Which is the closest to 1? (a) x (b) -4\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19.2 (b) 0.01 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.32 less than -713?\nAnswer: -664.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w**2 - 9*w**3 + 13*w**3 + 18*w**2.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23207447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 13*g - 23 = -14*g, -2*g - 122 = -5*h. What is the lowest common multiple of h and 108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -527\/8 + 6869\/104. Calculate the common denominator of -32\/351 and j.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29, 83, 181, 329, 533, 799?\n\"Answer: z**3 + 16*z**2 - z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328246?\nAnswer: 2, 41, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2380\/3, -3, -1\/15 in descending order.\nAnswer: 3, -1\/15, -3, -2380\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhbbhhhhwhwwwwww. What is prob of picking 3 w?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1 + 7*t - 59*t + 0. Is z(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h**3 + 2*h**2 - 3*h - 3. Is u(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) 28702\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -5\/3 (c) 10.006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 7. Let c be 71\/3 - 85\/51. Let h = c + -7. What is the remainder when m is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 2, p: 4, c: 3}. What is prob of sequence kpk?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 - (-20 + (-11 - -29) - 78)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8197\/96983?\nAnswer: -8197\/96983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*((-1665)\/30)\/37?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 9 = 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.700573ml to litres.\nAnswer: 0.001700573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20122101002100 - -2121?\nAnswer: -20122100222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 9*d + 11. Suppose 27 = -3*i - 7*c + 4*c, 4*c + 4 = 0. Let r be s(i). Let y(x) = x**r + x**2 - 2*x**3 + 2 + 3*x**2. What is y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 - 20 = 0. Suppose -2*a - x = a. Let z(j) = j - 1. Let v be z(-1). Is v not equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**4 - 10*s**3 + 50*s**2 - 76*s + 33. Let q(d) = -2*d**4 - 2*d**3 + d**2 - d. Let l(f) = -5*i(f) + 10*q(f). Solve l(x) = 0.\nAnswer: -11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (13 + -12 - 11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 7, -3\/2, 13, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from dddj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*p**5 - 11535*p**4 - 3539595*p wrt p.\nAnswer: 640*p**3 - 138420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 7. Let w be s(-2). Let i = 21 - w. Let m(b) = -b**3 - 2*b**2 + b - 1. Let x be m(-3). Put 4, 3, i, x in descending order.\nAnswer: i, x, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*m - 8 + 23, -3*u - 11 = -m. Suppose -2 = -z - m. Let g = z + 30. Calculate the remainder when 51 is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*y - 2044 - 3616 = -495*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 16*w + 7. Let u be d(0). Solve 8*s = u*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 173096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*h + 42 + 31, l = -2*h + 16. Let p(g) = 12*g**3 - 19*g**2 - 10*g + 12. Calculate the least common multiple of p(2) and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -14842 bigger than 310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + k + k + 1 = 10*u - 11*u - 0*k + 2*k, -228 = 57*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.4 - 39.4. Let j = 0.118 - -14.582. Let m = v + j. Which is the smallest value? (a) 0.3 (b) -1\/6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/4*21\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t**3 + 5*t**2 + 5*t - 3. Calculate b(2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 + 3*s**2 - 3*s**2)*(-6 + 4 + 0)*(121*s + 9*s - 9*s) to the form i*s**2 + d + r*s**3 + k*s and give r.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -i + 3*k, -7*i = -2*i + 3*k + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -158, 0.5, -69?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 + 26 = 0. Let t = u + 3. Let s(j) = -j**2 + 17*j - 10. List the prime factors of s(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-20)\/(-5)))\/((-10)\/(3520\/77))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3852436 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d + 4*d + 4 - 4 to the form a*d + y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 10*h - 15. Let d be (h\/(-2))\/(3\/9)*1. Let p(r) = -r**3 - 2*r**2 - 2*r - 2. Calculate p(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 10*w**2 - 5*w + 6. Let g be c(-8). Let m = g + 18. Suppose -z - 2*t + 1332 = m, -3*t - 1747 = -2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3432462 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3771894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-10) - 7\/(-35))*-1761. Determine g, given that 1761 + 25*g - p + 5*g**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 17898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 22 = 8. Let z = a + 5. What are the prime factors of (2 - (0 + -3)) + z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 7*k**2 - 6. Let p be u(-4). Suppose 2*d - 4*t - 24 = 0, 0 = 5*d - 0*d - t - p. Calculate the remainder when 14 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*(9 - (3 + 0)). Let i = -0.2 + 1.2. Which is the nearest to u? (a) i (b) 0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*c - 9 = -65, 3*r - 2*c - 34 = 0. Suppose -u - 5 = -r. Solve 4*k - u*t = 6*k + 17, 4*t = -3*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 114, 0, -39.32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 6*j + 3*j)*(-3 - 4 + 1) - 4*j - 2*j + 4*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -m + 4*s, 0*m = -m + 5*s + 42. Is m less than or equal to 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 - 59. Let p = 21 - s. Which is the fourth smallest value? (a) -0.4 (b) 1 (c) p (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -577040*p**5 + 352674*p**2?\nAnswer: -34622400*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 17. Let r = -7 + 3. Let b = r - -3.6. What is the closest to 0.3 in 0, b, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(441) - -2*sqrt(441)) + sqrt(441) + sqrt(441))\/((1*sqrt(70)*-6 + sqrt(70))\/sqrt(10))*1.\nAnswer: 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 1)*(-5*a - 9 + 9)*(-1 + 3 + 0).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-3 - -5 - 4). Let d = 11 - c. What is the third derivative of 9*r**3 + 5*r**2 + d*r**2 - 3*r**2 wrt r?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 4:02 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2243 + 24707\/11. What is the common denominator of 19\/11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*d + 5*u, 3*u - 20 = -5*d + 17. Suppose -d*s = -28*s + 160180. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + -1 + -2 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 710450 (base 13) to base 14\nAnswer: 4c5bd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 20 = -4*n, -20*y - 3 = 5*n - 23*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i - 7. Let g(u) = -2*u + 6. Let n(t) = 7*g(t) + 6*v(t). Let d(k) = k - 16. Let p(z) = -12*z + 160. Let b(a) = -10*d(a) - p(a). What is n(b(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1460401543298 + 0.5.\nAnswer: -1460401543297.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/80 and -1\/172.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - -305. Calculate the common denominator of 20\/100 + o\/(-260) - 3 and 13\/98.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.506325 weeks to seconds.\nAnswer: 3330225.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 8*r**2 + 6*r + 5. Suppose -15 - 1 = -2*y. Is s(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 8*x - 12. Determine u(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/8 + 13*a**3\/8 - 9*a**2\/4 - 20*a - 16.\nAnswer: -(a - 8)**2*(a + 1)*(a + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70268 is divided by 1228.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 6*g**2 - 6*g + 11. Let f be d(5). Suppose -4*z - f = -2*x, 0 = -0*z - 3*z. Put x, -3, -2, 4 in ascending order.\nAnswer: -3, -2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by -48\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 5, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -2*v**5\/5 - v**4 - 2*v**3\/3 + 7. Let x(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) -19 (c) -2\/3 (d) -1\/3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6756, -27129, -61092, -108639, -169764, -244461, -332724?\nAnswer: -434547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -c597?\nAnswer: c596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -13. Suppose k - 5*p - 21 = 0, -p = -5*k - 0*p + 225. Let u = r + k. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2371538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6*(-9)\/108)\/(1\/26). Let q be (-368)\/(-52) + 1\/g. Solve -3*l - 10 + q = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from kkkkkbkbkb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -923, -1871, -2819, -3767, -4715?\nAnswer: -5663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a decade?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w**2 - 3*w + 4. Let m be x(3). Suppose 3*o = 4*q - m, -q + 2*o = -6*q + 44. What is the smallest common multiple of 3 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 0)\/2 + 540\/12. What is the greatest common divisor of 195 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b7 - -253ba?\nAnswer: 25103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2049, -8597, -19505, -34773, -54401, -78389?\n\"Answer: -2180*w**2 - 8*w + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5 + 252*k**4 - 4881*k**3 - 17244*k**2 + 123900*k + 273600 = 0. Calculate k.\nAnswer: -5, -2, 5, 38, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 141142?\nAnswer: 141203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/135)\/((-138367)\/11595)?\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - o = -26, -57 = -2*g - 11*o - 5*o + 7*o + 70 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -268426.8 to the nearest 100.\nAnswer: -268400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**5 - 150*d**4 + 285*d**3 - 140*d**2.\nAnswer: 5*d**2*(d - 28)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32135290 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 6. Let j be h(-4). Solve -2*w = -j + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 19 = -q, 2*q + 2*q = 3*r + 61. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d*d**(3\/17)))**(-15) assuming d is positive.\nAnswer: d**(555\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10019 + 0?\nAnswer: -10019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/sqrt(2)*-2)\/(-6*sqrt(80) - sqrt(5)).\nAnswer: 2*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.4, -5, -2\/9, -34\/53?\nAnswer: -34\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.16, 3, -1, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 11*r**2 + 11*r - 13. Suppose 109*l - 946 = 110*l. Let p be (-2)\/(-4) + l\/(-44). Suppose 11*x + 110 + p = 0. What is g(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + d - 1)*(-39 + 7*d**2 + 26*d - 6*d**2 + 37).\nAnswer: d**3 + 26*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 545, -2, 1\/4, 0.5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 6. Let d be m(5). Let u = 2.9 - -0.1. Let z(r) = -8*r + 147. Let g be z(18). Which is the nearest to u? (a) d (b) -3\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**3 + 558012*a**2 + 558008*a = 0.\nAnswer: -139502, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -5, 5*z - 3*z = 4*a - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/6*(-30)\/25. Solve 27 = t*v + 7, -r = v - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.493 + -0.007. Which is the nearest to 0? (a) 2\/5 (b) i (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtt when three letters picked without replacement from wgtwt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -518151 + 518155. Suppose -2*s - 64 = -4*s. Solve s = -l*x + 5*z + 12, 4*x - 3*z + 12 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/2)*q)**(6\/13))**(-2\/27) assuming q is positive.\nAnswer: q**(-10\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Suppose 0 = -3*a + 5 + 31. Suppose 4*w - 4*u - 12 = 0, 0 = 2*w + 4*u - 500 + 488. Solve w*b = 1 - 21, 0 = -f*q - 2*b - a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10451642?\nAnswer: 2, 5225821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - h - 34 + 33)*(-415 - 816 + 41).\nAnswer: -1190*h + 1190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8043722cm to millimeters.\nAnswer: 8.043722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + w = d - 1, -w = 4*d + 1. Suppose -4*z + 10 + 2 = 0. Solve d = l - z*u - 14, -u - 6 = 3*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 312.5384 millimeters?\nAnswer: 31.25384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(30\/3)\/(1*2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -178 in 1\/4, 2, -13\/2, 0, 4, -2\/13?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22313210 - -3?\nAnswer: -22313201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 5\/4 (c) -0.1 (d) -2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**4 - 2*q**3 + 70*q**2 - 71*q + 4 wrt q?\nAnswer: -48*q**2 - 12*q + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7487657 is divided by 133708.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32531112 - 32528102.6921. Let h = 3016 - q. Let o = -6.7 + h. What is o rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5830.6 rounded to the nearest 10?\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 2)*(-4 + 3 + 3) + 5 - 1 - 2)*(-10194*u - 10020*u + 22133*u + 2).\nAnswer: 7676*u + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -595*d + 10546. List the prime factors of b(-20).\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/10*(-3)\/(-12). Let d(u) be the third derivative of 0 - s*u**3 + 1\/40*u**6 - 1\/8*u**4 + 0*u + 1\/20*u**5 - 8*u**2. Suppose d(i) = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sllwvzlzzsy. Give prob of picking 1 l, 1 w, and 2 s.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4404, 17615, 39634, 70461, 110096, 158539?\n\"Answer: 4404*a**2 - a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + c - 27, 3*c = 4*x - 65 + 16. Let r(g) = 2 - 3*g + g - x. What are the prime factors of r(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -248243*l*v**3 - 62*l - 133358980*v**3 wrt l?\nAnswer: -248243*v**3 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-240)\/160*((-6)\/(-4))\/(5\/(-4740)). What is the greatest common factor of d and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(198*m + 402*m - 235*m).\nAnswer: -730*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 9589718.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -14236.5.\nAnswer: 99655.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - -0.37. Let b = -65115.1 - -65115. What is the second biggest value in -3\/5, 5, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 4*m - 2. Suppose -i + 2*h - 30 = -5*i, -5*h = 5*i - 45. Calculate the lowest common multiple of i and l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, -1\/2, -8, -37, 2, 1\/6.\nAnswer: -122, -37, -8, -1\/2, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -531.86713?\nAnswer: 534.86713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/3)\/h*h*h**14 assuming h is positive.\nAnswer: h**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 570 + -399. What is the highest common factor of 95 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3 + (-16)\/6). Let d be (-3 - 1)*b\/(-4). Do d and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-1\/4)*k*k\/k**(-5)*((k\/k**2)\/k*k)**(2\/3) assuming k is positive.\nAnswer: k**(97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 52481, 52502, 52533, 52574, 52625, 52686, 52757?\n\"Answer: 5*i**2 + 6*i + 52470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101426 is divided by 757.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1909743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 12*u**2 - 4*u - 11. Let p be k(11). Suppose -200 = -7*w - 46. Suppose -4*r + 3*r = -w. Calculate the highest common factor of p and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, p: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -32186816 divided by 8?\nAnswer: -4023352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**2\/2 - 5*f - 13952. Let d(m) = 2 - m - 11 + 2*m. Give -3*d(l) + 5*j(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153 - -7. Let k = o + 216. Is 25 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/26837 greater than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbvv when four letters picked without replacement from vvvvbvvb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8435.652 tonnes to grams.\nAnswer: 8435652000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-8) - 1\/2. Let p be (12\/(-3))\/(-4) - -3. Suppose -p*i + 2*f + 5 - 13 = 0, 3*i = -4*f + 5. Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -29*s**2 - 3*s - 165. Let j(r) = -77*r**2 - 7*r - 496. Calculate -8*g(b) + 3*j(b).\nAnswer: b**2 + 3*b - 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -481 in -5, 93, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q + 3. Let i(t) = -t. Let u(y) = c(y) - 5*i(y). Let f(h) = 1. Determine -5*f(v) + u(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 27*p - 66.\nAnswer: 3*(p - 11)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-96)\/(-56) + 2\/(-2) and -18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15384512 - -0.1?\nAnswer: -15384511.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000655 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 1867*n**4 - 3736*n**4 + 3*n + 1867*n**4 + n**2 + 36*n**3 - 3*n**2 in the form o*n**3 + m*n**2 + a*n**4 + k + y*n and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*q + 47*q - 1326 = 0. Let p be (q\/52)\/(2\/56). Is p greater than 237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/55? (a) -5 (b) 0.02 (c) 106\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -16, -38495, -4 in increasing order.\nAnswer: -38495, -16, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 18 = -5*a, -16*f + 18*f = -a - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -556, -560, -566, -574, -584?\nAnswer: -596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 768*b**3*g**3 - 22*b**3*g + 655856*b**2*g**3 + 118*b**2*g - 29609*b**2 wrt g.\nAnswer: 4608*b**3*g + 3935136*b**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q - 32. Let v be x(4). Let t be 9\/(-2)*(-8)\/6. Suppose 6 = -5*m + t*m. What is the highest common factor of m and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -181, 950 in decreasing order.\nAnswer: 950, 7, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0 + 3. Let p = k + 1. Suppose -p*w + 0*w + 3*h - 9 = 0, 0 = -3*w - h + 14. Solve 4*y + 2 = w*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 164 in -6, 20, -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.605 + 36. Let z = w - -0.005. Which is the fourth biggest value? (a) z (b) 1\/5 (c) -2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(2 - (-8)\/(-3)). Let m(p) be the second derivative of -p**5\/20 - 5*p**4\/12 - 7*p**3\/6 - 3*p**2 - 6*p. List the prime factors of m(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*c - 22*c + 45*c)*(4*c - 4*c**3 + 2*c - 4*c) to the form p*c**4 + v*c**3 + s*c**2 + t*c + h and give p.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -55467, 291?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16892 at most 118248\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 10:12 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 535.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0033085217 to four decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5015646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 990.5 (c) 10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -313 - -318. Which is the closest to 1? (a) z (b) 0.4 (c) -5 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {l: 1, c: 2, g: 2, p: 1, n: 1, m: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4691\/3 - -1435. Which is bigger: y or -130?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (66 + 6 + 61)*(2 + 4 - 4)*(999 - 999 + 47*f**2) as i*f**2 + k + d*f and give i.\nAnswer: 12502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121074 is divided by 1591.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -341 + -11307?\nAnswer: -11648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o - 3. Let v(a) be the second derivative of a**4\/12 + 5*a**3\/6 + 5*a**2\/2 + a + 18. What is -5*h(f) - 3*v(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/2 - 43*i - 87\/2 = 0. What is i?\nAnswer: -1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9187 - 63*o + 9187 - 54*o + o**2 to n*o**2 + t + k*o and give k.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11 - 12)*(-4 - 1158). Suppose -1165*h + l*h = -42. Solve -d + 4*x - 1 = 0, h + 0 = -3*d + x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26159.\nAnswer: 7, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 373*v + 3197. What is the hundreds digit of j(131)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -39*f + 37*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**3*y*y*y**(8\/3)*((y\/(y**0*y))\/y)**(-2\/15) assuming y is positive.\nAnswer: y**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 + y**2 + y - 2. Let u be n(2). Suppose 2*h = 3*k - 7, 15 = -0*k + 3*k. Calculate the highest common factor of u and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 24317643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/85)\/(28\/(-3920)*-4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/25480 and -32\/1001.\nAnswer: 280280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, 2, -1\/5, -4.\nAnswer: -4, -7\/2, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -24 (b) 0.3 (c) -1809\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 74*w + 70*w + 18, 2*y - 2*w + 14 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-2\/13)*u*u)\/u**4*u\/(u\/u**7)*u*u*u**(6\/7)*u*u*u\/u**(6\/11)*u*(u*u*u**2)\/u*u*u\/u**(5\/7)*u*u*u\/(u*u\/(u\/u**(2\/5))*u) assuming u is positive.\nAnswer: u**(90308\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3223 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37.09126 litres?\nAnswer: 37091.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*a - 6, 0*w - 5*w - 5*a + 15 = 0. Let i(r) = -r**3 + 4*r**2 - 4*r + 3. Let h be i(w). Is 2\/h*477\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 7*b**2 - 12*b**2 + (-b + 0*b - b)*(4 - 4 + 2*b) + 1 + b**2 - 1 + 2*b**2 - 2*b**2 + b**2.\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3*z - 1 - 1)*(3*z + 2*z**3 - 3*z).\nAnswer: -4*z**4 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3051 (base 6) to base 10.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**2 + 312*s - 4046. Let i(o) = 3*o**2 - 156*o + 2022. Suppose -5*r + 0*w + 5*w - 5 = 0, -4*w = 3*r + 17. Let j(x) = r*u(x) - 5*i(x). Factor j(f).\nAnswer: 3*(f - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-483))\/(-2)*87528\/62520?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 49 = 3*x + 35 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6417 - -6417.0000005742. What is m rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpepvoppeoez. What is prob of sequence ev?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.51 - -3.51. Which is the closest to 1? (a) 0.3 (b) h (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6435\/780)\/((-18)\/(-48))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.265 and -76.\nAnswer: -75.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 7. Let o(g) be the first derivative of -2\/3*g**3 + 3\/2*g**2 - 2 + 2*g - 1\/2*g**4. Calculate o(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = 0, 12*r = 14*r - j - 110. Calculate the greatest common factor of 102 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216571 divided by 3.\nAnswer: 216571\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 6:30 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0062476 rounded to five decimal places?\nAnswer: -0.00625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17\/11 + 123\/44. Let c = -2 + 0. Put k, -2\/5, c in ascending order.\nAnswer: c, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*i - 22*i + 5 - 4)*(-i**2 + 2*i**2 - 3*i**2) as o*i + f*i**3 + x*i**2 + t and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -113498, 3 in ascending order.\nAnswer: -113498, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/(-5))\/(11\/(-330)) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4690.7 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**2*p**3*w**3 - 36*m**2*p**3 - 29*m*w**2 + p**3*w**3 - 5*p**3 wrt m?\nAnswer: 8*p**3*w**3 - 72*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 420766844 or 420766843?\nAnswer: 420766844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -21, -41, -81, -147?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 - 237356566.\nAnswer: -237356590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -21*o + 12*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 53\/42*z**4 - 3\/70*z**6 - 20\/21*z**3 + 3*z**2 + 0 - 34\/105*z**5 - 6*z. Determine u so that b(u) = 0.\nAnswer: -5, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*t*v**5 - t - v**6 + 2*v**4 + 56*v**2 + 2*v wrt v?\nAnswer: 1500*t*v**2 - 120*v**3 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -199d160 (base 14) to base 7\nAnswer: -213246550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -q - 4, 11 = -5*n + 2*q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 5*n - 12 + 19 + 0*n**2. Suppose 0 = 6*w - 3*w - 2*r - 8, 3*r + 12 = 5*w. Suppose w*s - 15 = -3*s. Determine b(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 1. Let k(t) = 6*t - 2. Give 2*k(j) + 6*p(j).\nAnswer: 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1346333 (base 8) to base 13.\nAnswer: 104033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, s: 1, q: 4}. What is prob of picking 3 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45.66, 10, 0.3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 < -527\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5533, -5540, -5547, -5554?\nAnswer: -5561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 27. Let o = 3 + 2. Let y(d) = d**2 + o + 7*d + d - 3*d - 4. Let v(p) = p**2 + 4*p + 1. What is w*v(t) - 5*y(t)?\nAnswer: t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2633 = -937. Let s = -492 + b. Is s a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286 + -289)*(-24)\/198?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67495663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 15*i + 14. Let y be g(16). Let m be 3\/(3\/y) + 7. Suppose -195 = -m*v - 0*v. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 15 = -5*k. Let p be ((-9)\/(6 - 3))\/k. Let x(i) = 5*i - 10. Let d be x(p). Solve -2*y - 2*n = -n, -d*y - 6 = n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -11 - -2) + -13 + 2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 234160 to the nearest one thousand.\nAnswer: 234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46 - -12?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4, 5*p + 2*n - 6166 = p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*g + 1. Let l be g\/10 + 6\/(-15). Let q be 2 + -4 + (-3 - -7). Solve -v - 1 - q = l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7096 and 16587787.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 909*y**2 - 16686*y + 12. Calculate h(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 - 289*q + 289. What is m(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - a = 421, 7 = -a + 6. Let b = -66 - t. What is the highest common divisor of 12 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(3 - (-8)\/(-2)). Let u be (-2 - -1) + (7 - 3). Let v(g) = 0 - u + 1 + 1. Let k(c) = 3*c. What is f*k(o) - 2*v(o)?\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93, -121, -937, -2655, -5575, -9997?\n\"Answer: -50*p**3 - p**2 + 139*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106663905 divided by -5.\nAnswer: -21332781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 9:46 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25355915447404 + 0.2?\nAnswer: 0.45355915447404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 630*k - 632*k - 9*k**2 + 59*k**2 + 2*k**3 as z*k**3 + b*k + q + u*k**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-7) - 6*(-543)\/21 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 - 2 + 2 + ((-11 - 4 + 2)*(3*k - 4*k - 3*k) - k - k + k)*(-3*k - 2*k + k).\nAnswer: -206*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 2*u**5\/75 - u**4\/3 + 74*u**3\/45 - 4*u**2 + 24*u\/5 - 74. Factor l(w).\nAnswer: 2*(w - 3)**2*(w - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 5*z + 58 + 23*z + 63 - 240 + 55.\nAnswer: 28*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57 + 63 - (90 + 1)) + -77 + 94.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 628 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 861269.9 litres in millilitres?\nAnswer: 861269900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, 0.4, 3, 113, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60357*m**4 - 13*m**3 - 10*m**2 - 196254795*m.\nAnswer: -724284*m**2 - 78*m - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4*k - 451*b**4 - b**3*k + b**3 + b**2*k + 2*b*k - 148 wrt b?\nAnswer: 24*b*k - 10824*b - 6*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(192) + sqrt(192) + (sqrt(192) + 5 + 2 - sqrt(192)))*-4)**2.\nAnswer: 5632*sqrt(3) + 14224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**3 - 140*b**2 + 36*b + 1260 = 0. What is b?\nAnswer: -35, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/5*m + 9\/5*m**3 - 9\/5*m**2 + 0 - 3\/5*m**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 12780?\nAnswer: 89460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, d: 8}. What is prob of picking 4 p?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(833) + (sqrt(833) - -4*sqrt(833))))**2.\nAnswer: 749700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = t, 68*t - 69*t = 4*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*a**2 - 4 + 2*a + 24*a**2 - 6*a - a**3 + 9 in the form o*a**3 + v + b*a + h*a**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*t - 1 + 320*t - 638*t + 5*t.\nAnswer: 6*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = 2730. Let a = k + 12753\/14. Find the common denominator of a and (-1)\/(-6) - (-6579)\/459.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04453434 to 4 decimal places.\nAnswer: 0.0445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a + 25 + 18 + a - 4*a + 5*a**2. Is n(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942171 is divided by 69.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 877175140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ca27 + -4?\nAnswer: -2ca2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -1. Find the common denominator of p\/(-6) - (-94)\/(-8) and 39\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357385672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 3 (c) 0.157 (d) -0.1 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + sqrt(76)*-4)**2*6 + -1 + -1*(5 + sqrt(76))*3.\nAnswer: -6*sqrt(19) + 1808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 8:14 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkgk when four letters picked without replacement from kggggkgggkgggkkgkg.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -9*u**5\/2 - 912*u**4 + 6159*u**3\/2 - 2169*u**2 - 1230*u + 1236 = 0?\nAnswer: -206, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/58 < -0.037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*l**6 + l**2 + 151*l.\nAnswer: 18360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*(sqrt(121) + sqrt(121)*-2 + sqrt(121))\/sqrt(11) - (-2*sqrt(132)*-2 + sqrt(132))\/sqrt(12)))**2.\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-7)*56\/12. Suppose 3*t = -s*t - 30. Suppose -14 = 7*j + 21. Which is the smallest value? (a) t (b) 0.4 (c) j (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 105 = -3*v. Let b = v + -37. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3629 - -3675. What is the remainder when 318 is divided by c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/(-6))\/(-2))\/((-3)\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**0\/m))**(-8\/3) assuming m is positive.\nAnswer: m**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -4*y, 3*y = -0*u + 4*u - 8. Let d be 6\/(-6)*(y - 24). Let g be 4\/(2 + 3\/(-2)). Calculate the highest common factor of d and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.216 + 1.016. Let x = w + -0.9. Which is the nearest to 10? (a) -0.5 (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 905620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 p, 1 q, and 1 o when four letters picked without replacement from {u: 5, p: 1, q: 5, v: 4, o: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -8) + -4*3 + -1956*8\/(-1824)\nAnswer: 30\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467*m**2 + 2148 - 4*m + 2072 + 7*m - 4220.\nAnswer: 467*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/(3\/9). Let f(x) = 0*x**2 + x**2 - 10 - 3*x + 9*x. Let s be f(-7). Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 359811571*u**2 - 451073629*u?\nAnswer: 719623142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 22. Let h be (-9)\/(-30)*(-10)\/q. Let j = -26 - -207\/8. Put 0.1, j, h in increasing order.\nAnswer: h, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 + -3 + 0 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/(-7))\/(16 + -2). Suppose 1 = 4*h - 3. Let f be -1 + (-14)\/(-8) - h. Which is the third smallest value? (a) v (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0 - 7)\/(-64 + 62)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let z = x + 2. Suppose 1 = -y - r, -5*y + 3*r + 19 = z*r. Solve u - 3*k = -0*u - 9, u - k + y = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 plus -0.05?\nAnswer: -184.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 304*x - 14. Give k(-152).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + -133335?\nAnswer: -133410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 608, 1218, 1828?\n\"Answer: 610*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -10985073?\nAnswer: -10985079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -1\/2*f**3 + 0 + 5\/2*f**2 + 25*f = 0.\nAnswer: -5, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-930*h - 2 - 2051*h + 292*h + 2)*(3*h**4 + 0*h**4 - h**4).\nAnswer: -5378*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 29961*d + 29685*d - 2 to p*d + y and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1298 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 1. Let a be i(14). Let v = -18 + a. Put 5, -6, v in decreasing order.\nAnswer: 5, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6*(-3 - -15)\/4. Let r be (0\/(-3) + j)*(-132)\/(-3). Is 6\/(-33) - 2832\/r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265408 divided by 10208?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10\/2679 (b) 0 (c) 4\/5 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(225) - (sqrt(225) - sqrt(225)*1)))\/((sqrt(5) + sqrt(20))*4 - (sqrt(5) - ((sqrt(5) - -2*sqrt(5))*-6 + sqrt(5)))))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*l + 5*x, 0*l + 2*l = x + 32. Let p = -11 + l. Solve p = s - 4*y, 4*s + 10 = 4*y + 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4\/5 - 4803*w**3\/5 + 112206*w**2\/5 + 48720*w = 0. Calculate w.\nAnswer: -1624, -2, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 3. Let b = 32.4 - 19.1. Let q = -13.6 + b. What is the second smallest value in q, m, 3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184422, 184384, 184346, 184308?\nAnswer: 184270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 1:41 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 2048?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50533847 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 13*b - 3803 = -4*c, c - 2*b = 952. Suppose 4*g = 3*m + 8*g - 941, 3*m - c = 5*g. Is 24 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16641 = -5*j + 25119. Suppose -12*t - 4*t + j = 0. Is 29 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**3 - 3*o**2 - 3*o - 1. Determine n(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 31, 17, -3?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b. Let r(x) = 2*x**2 - x. Let l(c) = -5*r(c) - 5*w(c). Let h(g) = 3*g + 24. Determine l(h(v)).\nAnswer: -90*v**2 - 1440*v - 5760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) -6 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15\/2 - -8. Suppose 5*h + 2*q - 3*q = -20, 10 = -5*h + 3*q. Which is the nearest to -0.1? (a) x (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -700 + 1325. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -439789520*k - 354440938?\nAnswer: -439789520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 5. Let t be b(-6). Let c be ((-1)\/t)\/(4\/8). Suppose -c*j - 2*i - 19 = -3*j, 0 = 3*j + 5*i - 13. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 4. Let f be u(4). Suppose -2*o - 8 + 20 = f. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118.19 - 115.19. What is the nearest to i in -47, -5, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g. Let x(w) be the third derivative of w**6\/40 + w**3\/2 - w**2. Let k(t) be the first derivative of x(t). Determine y(k(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4475?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9876 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 670*o**3\/21 + 37384*o**2\/21 + 73952*o\/3 - 15232\/3 = 0.\nAnswer: -28, 68\/335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -43061 divided by 2533\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 842 and 538612.\nAnswer: 539454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 12:23 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:08 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 321719032 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + -1 + sqrt(117) + sqrt(117))*-2) + -5*sqrt(117)*1)**2 + (-4*(5 + sqrt(117) + -1 + sqrt(117) + sqrt(117))*1)**2 + 5.\nAnswer: 1128*sqrt(13) + 17581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, j: 2, o: 2}. Give prob of sequence jn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 25. Calculate the highest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119403115 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -710.06 and -19.\nAnswer: 13491.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.62011 to 1 decimal place.\nAnswer: 40.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 242.43 + -127.32. Let k = 117 - y. Round k to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 575992 + -875772. Round q to the nearest 1000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13537 + -13538. Let v(h) = 16*h - 10. Let z = 10 + -20. Let f(s) = -s + 1. Give a*v(q) + z*f(q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22224 is divided by 3172?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 735086?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -383, -374, -353, -314, -251, -158, -29, 142?\n\"Answer: h**3 + 2*h - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-21) + 161\/49. Let q(h) = 2*h + 3. Let b be (-2)\/(-2*1) - -1. Let u(a) = -3 + b + 3*a + 5. What is v*u(w) - 4*q(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2 + 5*s + 2. Suppose -3 = 6*u + 3. Let l be x(u). Is (2327\/26)\/((l\/(-12))\/(-1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 0.7 (b) -12 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2371*r**2 - 2373*r**2 - 2*r**3 - r**3 + 2*r**4 - 2 in the form k*r + m*r**2 + w*r**4 + l + g*r**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -7*l - 8. Let c = 7 + l. Solve 5*z - 4*a + 11 = -7*a, c*z - a + 23 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -28, -41, -54, -67, -80?\n\"Answer: -13*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a**2 + 199*a + 20. Calculate w(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1580954 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25\/184 + 6\/23. Let k(u) = 11*u**2 + 67*u + 4. Let l be k(-6). What is the second smallest value in -7, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232, -486, -762, -1054, -1356, -1662, -1966?\nAnswer: -2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 13*x**2 - 7. Is c(6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -50*b + 2476. Determine p(49).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 10*d = -15*d + 28, 3*c - 23*d + 100 = 0 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -51, -2\/11, 0.7?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2599794, -5199608, -7799438, -10399284, -12999146?\n\"Answer: -8*s**2 - 2599790*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p**2 - p)*(3*p**3 + p**3 - p**3) + (-6*p**4 + 68*p**3 - 412*p**3 + 127*p**3)*(p + 2*p - p).\nAnswer: -18*p**5 - 434*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -217 + 216.7. Which is the biggest value? (a) -2 (b) -13 (c) 1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 r when four letters picked without replacement from {c: 7, b: 2, d: 1, r: 4, h: 1}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 1, o: 1}. What is prob of sequence two?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1 + 205*c**2 + c + 113*c**2 + 188*c**2. Is h(-1) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.39414 decades in centuries?\nAnswer: 0.739414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13, 5 in descending order.\nAnswer: 5, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g - 2*g)*(3*g**2 - 5*g**2 + g**2) + 3*g**3 - 5*g - g + 8*g.\nAnswer: 6*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1122124996*i**2 - 389668429.\nAnswer: 2244249992*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2. Let t(n) = -42*n**2 - 7*n + 2. Give 3*l(b) - t(b).\nAnswer: 45*b**2 + 7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 665 and 40.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 361 divided by 13113?\nAnswer: 361\/13113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*n = 23*n + 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 151212207 and 4370295.\nAnswer: 756061035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4111.1 - 4029.1. Which is the third smallest value? (a) -1 (b) -5\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19156 * 5.\nAnswer: 95780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1006 and -12.\nAnswer: -12072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sas when three letters picked without replacement from {s: 2, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**5 + 15*c**4 - 21*c**3 - 3*c**2 + 24*c - 12 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-2)\/(-4))\/((-63)\/(-105)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 261*k**2 + 3*k + 4. Let m be n(3). Let w = m - 14207\/6. Find the common denominator of (3 - 55\/7)\/4 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 926 - 2067. Do k and -1140 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 23*h = -3*j - 2, 0 = 4*h + 4*j - 4. Which is the nearest to 0.1? (a) h (b) 2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 + 2 - -6)\/(1\/(-1)). Suppose f = -t + 5*r + 139, 3*t - 224 = -2*r + 125. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qojsllllooljls. What is prob of picking 1 l and 1 o?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/12 - h**3\/6 + 4*h. Let p be b(-2). Factor -p + 2*x**2 - 3*x**2 - 9*x + 4*x**2 - 6*x**2.\nAnswer: -3*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -15*o + 502. Determine c(35).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001422096 to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**2\/2 + 6. Let w(u) be the first derivative of u**2 + 56*u + 95. Calculate g(w(l)).\nAnswer: -2*l - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 12) to base 11\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(13) + 1)**2 - sqrt(624)\/sqrt(3))*5.\nAnswer: -420 - 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 0*i**2 - 1\/2*i**3 - 2*i - 1\/4*i**4 + 0. What is the second derivative of g(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/643700 and 149\/450590?\nAnswer: 4505900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 77353732 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/14 + (-36)\/112.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o - 127*o + 891 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -36. Let r = 15 - u. Which is the smallest value? (a) r (b) 0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22137531*g**2 + g + 325939?\nAnswer: 44275062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421116 (base 14) to base 8.\nAnswer: 10405460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(484))\/sqrt(11).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1123129014 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8898860.\nAnswer: 2, 5, 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 0.3, -0.4, -16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, 1, -3, 1717, 0.3, 2\/21, -1.8?\nAnswer: 1717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20423633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 6:15 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Suppose 0 = -l*a + w + 36 - 4, -w = 5. Suppose 98 = -920*f + 934*f. Is f > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14431, 28920, 43409?\n\"Answer: 14489*g - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y + 25. Determine a(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.291 to zero decimal places.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -62. Let c = 31 - 19. What is the remainder when p is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -32673512.795136.\nAnswer: -32673513.795136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 + 16*c - 352.\nAnswer: -2*(c - 44)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u + 5 = -s, 10 = -5*u - 2*s. Suppose u*z + 72 = 5*y - 2*z, 4*z - 48 = -2*y. Let w = y - 9. Solve w = 2*a - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*(sqrt(343) + 1)*-4.\nAnswer: 4 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 8) to base 15.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (sqrt(190) - sqrt(190)*1)*-2)\/(-1*-2*sqrt(10)) + (sqrt(2736) + 3*sqrt(2736) + sqrt(2736) - sqrt(2736) - sqrt(209)\/(-3*sqrt(11)))**2.\nAnswer: sqrt(19)\/2 + 399475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9 from -428336933.38.\nAnswer: -428336924.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 579*g - 578. Calculate v(2).\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5 - 2*i**4 - 42*i**3 + 44*i**2 + 41*i - 42 = 0. Calculate i.\nAnswer: -6, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 (base 13) in base 8?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) + 27\/12. Suppose 2*k + 108 = -0*t + j*t, 0 = 5*t + 5*k - 300. Calculate the greatest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - 41. Let k = 80 + s. Suppose -i - k = -0*i. Calculate the common denominator of i and -45\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29703 is divided by 1430?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 14) to base 10.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6460861*a**3 + 158*a**2 + 73*a + 106 wrt a?\nAnswer: -38765166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 47*x - 52*x + 26, 0 = -3*x + 3*m - 6. Calculate the lowest common multiple of 164 and x.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwlw when four letters picked without replacement from {w: 2, v: 7, o: 1, l: 4}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**4 - 40*i - i**5 + 3 + 39*i + 4*i**3 - 2*i**3 - 6*i**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + 1.92. What is the nearest to -1\/4 in y, 2\/9, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Suppose -4*t + t = -69. Let p(n) = t*n**2 - 5*n**2 - n + n. What is p(q(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9445531, 9445540, 9445549, 9445558, 9445567, 9445576?\nAnswer: 9445585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 529374 and 0.114.\nAnswer: 60348.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 102369607?\nAnswer: -1637913712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474\/15 - (-2)\/5 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*u**4 - 10*a*u**3 + 17*a*u**2 - 202*a - 19*u**4 - 32*u**3 + u**2 wrt u.\nAnswer: -48*a*u - 60*a - 456*u - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932488 a multiple of 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 3:00 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 9:18 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -29*r + 13*r + 9*r - 4 + 6. What is s(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/9)*v)\/(v*(((v*(v*v*(v*v*v*v*v**(1\/13)*v*v)\/v)\/v)\/v)\/v)\/v*v*v)*v*v**(4\/7)*v*v*v**(-16))**48 assuming v is positive.\nAnswer: v**(-243952\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1784, 42, -1, 2 in decreasing order.\nAnswer: 42, 2, -1, -7, -1784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3052067152 to the power of 1\/2, to the nearest integer?\nAnswer: 55246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -12. Suppose -d*g + 9 = -1. Factor -4\/9*a - 14\/9*a**g + 0.\nAnswer: -2*a*(7*a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 56*z - 3307. What is y(59)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.7 + 2.7. What is the closest to -2\/7 in 5, z, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17857, -143865, -485883, -1151917, -2249973, -3888057, -6174175, -9216333?\nAnswer: -13122537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 686056?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 2 (c) 2\/9 (d) 1508\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 8*f**2 + 5*f - 4. Let q be x(-8). Let z be (-3)\/(-15) - q\/5. Let l = z + 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 11*l + 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/2 - 12*m + 2881\/2 = 0. Calculate m.\nAnswer: -67, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 83876.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1805 + -1813. Which is the third smallest value? (a) 4 (b) -3 (c) 2\/17 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -846 - -1294. Calculate the smallest common multiple of r and 392.\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -6718, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14553 and 14256?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 496997 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.92 plus 22619.5?\nAnswer: 22617.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 233 - 310 + 492 - 554 in the form y*g + o and give o.\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-975)\/(-130)*4\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10240 or 5\/141?\nAnswer: -10240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5 + 2 + 10*k + 2*k**2 + 13 + 2. Let i be y(-3). Solve 10 = -5*m - i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2 (b) -5 (c) 1\/45 (d) -1\/3 (e) -2\/19 (f) 15.75 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-27)*-2*(-2)\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -0.3, -5, -4, -1.018?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2207 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 529454 + 234220.\nAnswer: 763674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 6 - 6 - 2*t**2 - 4*t + 5*t**2. Let y = 141 - 135. Calculate the least common multiple of y and c(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -137 + 5?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 12:37 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - 14. Let b be (-8 - -3)*4\/i. What is the closest to b in 2, 1\/6, 4\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 2*z**2 + 8*z + 2. Let y(i) = -i**3 + 2*i**2 + 8*i + 3. Calculate 4*q(d) - 3*y(d).\nAnswer: -d**3 + 2*d**2 + 8*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*(128\/24 + -4). Let r(q) = -3*q - 6. Let p be r(-3). Suppose 0 = s + 3, 5*s + p = -3*i. Solve -f + i = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -208364, -208376, -208384, -208388, -208388, -208384, -208376?\n\"Answer: 2*s**2 - 18*s - 208348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3 - 4080*r**2 - 2068506*r + 12558348 = 0.\nAnswer: -1023, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + sqrt(80)*-2)**2*-5 + -2 + sqrt(45)*-2 + sqrt(5).\nAnswer: -402 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2)\/(-14 - -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16595623063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*f + 523*f = 259*f - 43512 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 9*l**2 + 5*l - 30. Let a be p(-10). Suppose 3*q + 4*m - 30 = 0, -4*m + 6*m + a = 2*q. Solve -3*n = -4*k + q, 4*n + 2*k = -k + 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 26*x**2 - 56*x + 6. Determine k(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*w + 11 = -3*c, 5*c - 16 = 4*w. Solve 0*f - f = -c*b + 17, 5 = b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d2 + 4?\nAnswer: d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -164\/53 or -4.11?\nAnswer: -164\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 9*d + 16. Let l be z(-8). What is the highest common divisor of 24 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*u + 35 - 100, 92 = -4*u - 4*s. Let j = -25 - u. Let c be (4\/j)\/((-12)\/9). Solve 0 = 2*z - z + c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95b (base 12) in base 3?\nAnswer: -1212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 101459061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/475095988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*(sqrt(2) + sqrt(20)\/(sqrt(10) - sqrt(490))) + (-2*sqrt(128))\/sqrt(4))**2.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, -5, 1808.\nAnswer: -14, -5, 1, 1808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -13, 11, 3 in ascending order.\nAnswer: -13, -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 953, -127 in increasing order.\nAnswer: -127, 2, 3, 953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 45 = -9*u. Suppose 0 = 4*y - 4*d - 20, 4*d + 29 = -2*y + u. Suppose -3*k = 3*z - 126, 2*k = -y*z - 4*z + 164. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26733 divided by 57?\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89 and -0.4?\nAnswer: 35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42426*s**4 - 5318*s wrt s.\nAnswer: -509112*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2086 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1 + 1 + 2*k**2. Let r(w) = 396*w**2 + 132*w - 88. Let l(m) = 2 + 11*m - 8*m - 18*m + 8 - 44*m**2. Let j(f) = 44*l(f) + 5*r(f). Calculate j(d(q)).\nAnswer: 176*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*f = -1, -16*f + 19*f = -6. Let u be (-11 + 1)*(-34)\/5. Suppose -n = -3*j - u, -q*n + 269 = -0*n + 4*j. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, k: 5, m: 3, x: 2, u: 5}. What is prob of picking 1 m and 1 x?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrwrwwr. Give prob of sequence rr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*a + 17*a = -220. Let l(g) = -3*g**2 - g + 4. Let o(v) = 4*v**2 + v - 5. Calculate a*o(h) - 5*l(h).\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 18 (b) 1 (c) 5 (d) -3\/5 (e) 1.9 (f) 1397\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 3:23 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:51 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1032.0456 months to centuries.\nAnswer: 0.860038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -23*j. Let b be (-1 + 2)*(-4 + 3). Is 14 a factor of z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 646*r**2 - 2*r + 632*r**2 in the form v*r**2 + y + d*r and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 612 divide 533199492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(o**3 - 2*o**3 + 2*o**3) + 17423*o**3 + 17825*o**3 - 34481*o**3.\nAnswer: 765*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 + 0*h**3 + 6*h**3 - 6*h**3 - 2*h**3.\nAnswer: -2*h**3 - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 537808367?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -229, 2, -3 in descending order.\nAnswer: 2, 0, -3, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 + 2644*f**2 - 139 - 78 - 20.\nAnswer: 2644*f**2 - 328","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + -2 + 0 + 85?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702506434 to the power of 1\/2, to the nearest integer?\nAnswer: 26505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + 9 + 8 - (-7 + 0)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**3\/21 - d**2\/14 - 2*d\/7 - 19. Suppose u(j) = 0. Calculate j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 5536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1216)\/(-1792) + (-105)\/(-980)\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5526991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - 75*c + 41. Let y be q(37). Suppose 3*g - 9 = 15. Put y, 1, g in increasing order.\nAnswer: 1, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 560 - 18b?\nAnswer: 3d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/((x\/(x\/x**2))\/x))\/x)\/x*x*x)\/x)\/x)**28\/(x\/x**0*x*x*x**(-1)*x) assuming x is positive.\nAnswer: x**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2 - 3*t + t**3 + 0 - 3*t**2 - 1. Let m = -17 + 21. Determine l(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -295160.\nAnswer: 1\/73790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(12*3\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 22)*((-9)\/(-6) - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4*d - 22, 10*d = r + 5*d - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + 0 + 0)*(-3 - 4 + 5) - s**3 + 2*s - 2*s**3 + 0*s**3.\nAnswer: -5*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(((3 + sqrt(245))*2)**2 - (0 + sqrt(500) + 1*sqrt(20))**2) + 2.\nAnswer: 889 + 504*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1284 divide 327524653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 257*v**8\/84 + v**4\/24 - 494*v**3\/3 - 1759*v**2. Find the second derivative of t(m) wrt m.\nAnswer: 20560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26539096 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 14*f + 35. Let l be n(5). Suppose 5*w - 5 - 25 = 0. Solve -w*b + b = l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -924*u + 20091. Let g be y(30). Do g and -7629 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnl. What is prob of sequence nx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 161 + -240. Let p = a + 89. Solve -6 = -p*f + 13*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 992\/(-60) + 168\/(-60) + 17?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 790\/7, 0.2, 4\/5, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19\/108 - 5\/108. Which is the nearest to 0.2? (a) -0.2 (b) -4 (c) 41 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-five halves of a gram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 676802?\nAnswer: -2030406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 + 2808*r + 6899256.\nAnswer: 2*(r + 4914)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/6 - 271*h**2\/3 + 18443*h\/2 + 28482.\nAnswer: (h - 404)*(h - 141)*(h + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/1822754978?\nAnswer: -3\/1822754978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 19 = -11. Factor -4*i**5 - 24*i + 3*i**4 - 3*i**2 - 12 + 2*i**5 - h*i**5 + i**5 + 15*i**3.\nAnswer: -3*(i - 2)**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(99) - (-5*sqrt(99) + sqrt(99))) - -5*3*sqrt(99))\/(((1*sqrt(360))\/sqrt(8))\/(sqrt(720)*-2)))**2.\nAnswer: 633600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7.6 or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 less than -1.87?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/20)\/((-11 + 26 - 14)\/(-92))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-4)\/(-22))\/(-1). Let u = -0.1 - 0. Let i = -807557.1 + 807557. What is the nearest to u in 4, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23888909 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -781524\/233 or -3355?\nAnswer: -3355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2146, -2160, -2236, -2374, -2574, -2836, -3160?\nAnswer: -3546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1414237 and -1414226 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/11 + 102*d\/11 - 40 = 0.\nAnswer: -55, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/33 + (68\/11 - -1). Suppose 4*v = 0, -2*d - 4*v + z*v - 16000000 = 0. What is d rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 23*z**3 + 5*z**2 + 25. Let o(c) = 11*c**3 + 2*c**2 + 12. Give 2*l(r) - 5*o(r).\nAnswer: -9*r**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -271847.\nAnswer: -815541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 10:28 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000926185521 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*u - 494 - 35, 3*v - u - 787 = 0. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3991600 divided by 85\nAnswer: -46960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3, -0.2, -34405, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-90)\/((-2)\/(6\/9) + 4). Let k = -86 - u. Let t(r) = r**2 - 4*r + 1. Let s(m) = -m**2 + m. Give k*s(g) + t(g).\nAnswer: -3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 78342421 to the power of 1\/3, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0295, -1, 1\/2, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -1\/33*p**3 + 2*p + 0*p**2 + 0 - 5\/66*p**4. Factor y(g).\nAnswer: -2*g*(5*g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335024?\nAnswer: 2, 20939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/1*(-9 + 8). Suppose -c = t*s + 4*c - 18, -4*c + 12 = 0. Is -58*s\/(-4) + (-4)\/(-8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4 - 125*n**3 - 1080*n**2 + 33200*n - 32000 = 0 for n.\nAnswer: -16, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 996 - 996 - 2*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 9:11 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -28. Suppose -b*v + 170 = -20*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x + 40 = 0. Suppose 0*t - 5*t = -25. Calculate the highest common factor of x and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -432 * -297.\nAnswer: 128304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4916 - -4916.2. Which is the closest to 16? (a) r (b) 4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 60 + 28 = 0. Suppose -3*y + z*n = -51, 0*y + 17 = y - 2*n. What is the remainder when 77 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1132, 2280, 3444, 4624, 5820, 7032, 8260?\nAnswer: 9504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -1\/4, -2\/7, 5, -4723, 2.\nAnswer: -4723, -2\/7, -1\/4, 2, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -19*y**2 + 448*y + 898. Calculate s(-2).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - r)*(5 - 6 + 0) + 17*r - 12*r + 0*r - 1 - 2*r + 1 + (-1 + 3 + 0)*(2 + 2*r - 2).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-13 + 4) + 0. Let y be (12\/z)\/(2\/(-126)*2). What is the least common multiple of 134 and ((-80)\/(-28) - 2)*y?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2248, -8933, -20064, -35647, -55688, -80193?\n\"Answer: -h**3 - 2217*h**2 - 27*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26481\/2794 + -29\/254. Sort -4, -3, -1, -2, o.\nAnswer: -4, -3, -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**9\/126 - 17*l**8\/336 + 7*l**5\/15 - 7*l**2 - 2*l. What is the third derivative of o(h) wrt h?\nAnswer: 480*h**3 - 1020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 2. Let d(f) = -38*f + 2537. Determine d(u(q)).\nAnswer: -38*q + 2613","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(((-2)\/(-88)*4)\/2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/19)\/n*n**(-13\/2))\/((n**(-2\/33)*n)\/n**(2\/67)) assuming n is positive.\nAnswer: n**(-733085\/84018)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*i + 2)*(274*i + 20*i**3 - 274*i).\nAnswer: 40*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 2*y - 3*y)*(-y**3 + 4*y**3 - y**3) + 85*y**4 + 15*y**4 + 27438*y**2 - 27439*y**2.\nAnswer: 104*y**4 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 2*f**6\/15 - 23*f**5\/15 + 13*f**4\/9 + 14*f**3\/9 - 2*f + 41. Determine o, given that n(o) = 0.\nAnswer: -1\/3, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gglg when four letters picked without replacement from llgg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18772 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, i: 12, u: 2}. What is prob of picking 3 i?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1010010 (base 2) to base 10\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 11*r**2 - 7*r - 13. Suppose 0 = 5*j - 0 - 50. Let p be g(j). Solve 4*n = -3 - p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293895657 take away -2?\nAnswer: -293895655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/45 and -52\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, 0.3, -2\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5573639418 rounded to two dps?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*x = 25, 5*l + x + 9 = 55. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4785?\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuuwwsqwq. Give prob of picking 1 w, 1 s, and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 133 (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 612*d - 574. Let p(z) = 613*z - 594. Let l(a) = 3*p(a) - 2*v(a). What is the derivative of l(h) wrt h?\nAnswer: 615","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-57 - 1)*3*-4. What are the prime factors of (a\/16)\/(3\/4)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -7. Suppose -2*s + 4 = -t, 0 = b*s - 3*t - 8. Let z = -3 + 3. Solve s*h - 23 + 3 = z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2930544378.\nAnswer: 2, 3, 162808021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44843960 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 402. Suppose 5*x = -2*r + c, r + 3*r - 5*x = 864. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 512039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -793, -3202, -7217, -12838, -20065, -28898, -39337?\n\"Answer: -803*g**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -307, -1285, -2907, -5167, -8059, -11577, -15715, -20467?\n\"Answer: s**3 - 328*s**2 - s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 46 = -26. Let z = -15 - f. Let m be 1 - 3 - (6 - z). What is the highest common divisor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w - 3 + 3 + (-w + 5*w - 3*w)*(0 - 4 + 2) + (1 - 4 + 2)*(5*w - 3*w - w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006316 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -23*n. Let k(m) = -m + 2. Let h be k(2). Suppose 6*l = -h*l + 144. Calculate the remainder when c(-2) is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 50*n**3 - 4*n**2 + 6*n + 3. Let z(t) = -11*t**3 + t**2 - t - 1. Let g(v) = -d(v) - 4*z(v). Calculate g(-2).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2613, 2080, 1193, -48, -1643, -3592?\nAnswer: -5895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-3)\/3)\/2. Let w be (l\/24)\/(2\/(-4)). Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180\/89 = 0.2658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1164*g**3 - 1148*g**3 + 3468*g**3 - 1154*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37271 + 1.724.\nAnswer: 37272.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**3\/6 + 9*z. Let s(y) = -25*y**2. Give g(s(b)).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/1)\/(-1 + 3). Suppose y*g + 15 = 3*g - n, 4*n + 12 = 0. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 197321968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7774, 15547, 23320, 31093, 38866, 46639?\n\"Answer: 7773*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 1, v: 1, i: 1, o: 1}. What is prob of picking 1 h and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:12 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50839 - 32620. What are the prime factors of t?\nAnswer: 3, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1470782337 to the nearest integer?\nAnswer: 38351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11204876 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*d*f**3*l**2 - 4*d*f**2 + d*f*l**2 + 3*d*l**2 - 67*f**3*l + 16*f**2 + 9*l**2 wrt f?\nAnswer: 114*d*l**2 - 402*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14970 and 1165.\nAnswer: 3488010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 2. Let q(p) = -1. Let n(t) = -g(t) + 2*q(t). Let y(m) = -16*m**2 + 18*m. Let d(x) = 5*n(x) + y(x). Find the second derivative of d(a) wrt a.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520425 (base 6) in base 13?\nAnswer: 15c47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b. Let i = 9 - 2. Suppose -i - 3 = -5*q. Let h(n) = q*n**2 + 4 - 4. Calculate h(z(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.38 * 0.04912.\nAnswer: 0.2151456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 3*i + 37. Let o(g) = g**2 + 2*g + 19. Let b(x) = -3*l(x) + 5*o(x). Let d be b(-13). What is the tens digit of (d\/4 - -3)*2\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, 12, -4, 368 in decreasing order.\nAnswer: 368, 12, 5, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.04, 2\/211, -1, 226, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/4 - x**4\/2 - 1065*x**3 + 60535*x**2\/2 - 428941*x\/4 + 78033 = 0. What is x?\nAnswer: -76, 1, 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 18. Let c = n + -26. What is the smallest common multiple of 16 and (c\/(-12))\/((-6)\/8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2232)\/(-6975))\/((-84)\/315).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -103527 - -3.6002047\nAnswer: -103523.3997953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350181361?\nAnswer: 107, 3272723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54361326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13951919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 100 = 34*k. Let f = 161 - 161. Solve k*c - 3*j - 29 = 0, 4*c - 14 = -2*j - f*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26544.6 + 26544. Sort 43, -9, x in descending order.\nAnswer: 43, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -213 + 222. Suppose -4*m = -0*m + 8. Sort -1, k, m in decreasing order.\nAnswer: k, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:52 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*d*s**3 + d + 5*s**3 - 2*s**2 - 30 wrt s.\nAnswer: 114*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10752173067*j**2 - 1436808*j - 48 = 0.\nAnswer: -4\/59867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -28531.73 * -0.1\nAnswer: 2853.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - sqrt(448)*-1 - sqrt(448))*6)\/(sqrt(64) - 1*sqrt(64) - 6*sqrt(36)).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 393 divide 3050859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, p: 1}. What is prob of picking 1 p and 1 z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 12*h**2 + 13*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 225815927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 16*k - 52. Let l be p(-11). What is the highest common factor of l and 1015?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 0 (c) -0.04 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414*z + 344*z + 581*z - 55*z + 20*z.\nAnswer: 1304*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 7*v**6\/30 + 3*v**4\/4 - 14*v. What is the third derivative of w(q) wrt q?\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/7)*(j*j\/(j**1\/j)*j*j)\/j*(j**(-1))**(4\/9)*(((j\/j**(1\/3))\/j)**(4\/19))**(2\/21) assuming j is positive.\nAnswer: j**(43\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01095289 (b) -1\/4 (c) -0.3 (d) 9 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.112 + 0.195705.\nAnswer: 1.307705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20646406 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-52)\/91 + 50*(-2)\/(-28). Let x(w) be the second derivative of 0 - 6*w - 1\/24*w**4 + 1\/40*w**5 + 1\/4*w**2 - 1\/12*w**n. Factor x(o).\nAnswer: (o - 1)**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j - 20 = 0. Let y be (3 + -2)*0\/1. Let u = j + y. Solve -u*z + 19 - 3 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) + 80\/(-14). Let j(f) = -f**2 - 8*f - 8. Let y be j(m). What is the highest common divisor of y and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42.28 - 42.48. Let n = -7.62 - -0.72. Let b = n + 7. Put 2, b, 1, f in decreasing order.\nAnswer: 2, 1, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 12:12 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 13*u**2 - 54*u - 178. What is l(17)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 q when four letters picked without replacement from {a: 2, q: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*2\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-16)*(2 + 0 + -17). Let p be (-2)\/((-10)\/30*3). Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24648784 < -24648784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/40)\/(25\/((-250)\/12))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 113*x**7\/105 + x**6\/120 + 25*x**3\/3 + 109*x**2. Differentiate n(u) wrt u.\nAnswer: 904*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108332851?\nAnswer: 11, 19, 27281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 10*b - 5 + (3 - 2 + 1)*(2 - 2*b - 2) - b + 4*b - b + (1 + 1 - 1)*(-b + 0 + 0) to p*b + g and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50\/17, 72\/5, 326 in decreasing order.\nAnswer: 326, 72\/5, 50\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12152 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1259918 millennia to years.\nAnswer: 125.9918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. Suppose h*j = 95 - 23. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -3283\/118?\nAnswer: -3283\/118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -84 and -106553.4.\nAnswer: -106637.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*j**3 + 10405*j**2 + 111*j + 43754211.\nAnswer: 12*j**2 + 20810*j + 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.592 - 1.408. Let m = 16184\/31 + -522. Sort m, 0.5, t, -4.\nAnswer: t, -4, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5936112 and 7280?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**2 + 7*w - 2. Let u(p) = 3*p**2 - 6*p + 2. Give -4*m(g) - 5*u(g).\nAnswer: g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (11 - 8 - 12) + 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33630484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*l - 28 + 28)*(-62*l**2 - 1241*l**3 - 348*l**3 + 62*l**2) as z*l**3 + y + k*l**2 + j*l + u*l**4 and give u.\nAnswer: 50848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 38*p - 5. Suppose 8*g + 77 - 29 = 0. Let q be u(g). Which is bigger: 116 or q?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*u + 0*u + 4*u)*(-12 + 15 - 3 - 31).\nAnswer: 186*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9*o - 10 = 0. Which is smaller: -16\/5 or o?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 4\/19 (b) -5\/3 (c) -1\/2 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-20)*(-8)\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 33*w**2 + w - 2. Calculate j(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2781.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 104?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 > -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71b (base 15) to base 9.\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 + 1.22. Let y = d + -0.02. Suppose 0*p = -5*p + 25. What is the closest to 1 in 1\/3, y, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f**2 + 4*f. Let u(z) = z + 4. Let h(s) = -3. Let i(t) = -4*h(t) - 3*u(t). Give i(k(d)).\nAnswer: -27*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 412132104 + 4040?\nAnswer: 412141144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-3))\/((-2)\/(-54)). Suppose 14 = 5*q - w. Calculate the highest common divisor of 25 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*g**2 - 5 + 73*g**2 - 34*g**2 + 5.\nAnswer: 93*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.20998cm to millimeters.\nAnswer: 12.0998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 1657*h**6\/60 + 3*h**4\/8 - 37*h**3\/2 - 10*h**2 - 6. What is the second derivative of i(f) wrt f?\nAnswer: 19884*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 + 2*z**4 + 0*z**4 + (-2 - 4 + 5)*(-z**4 - z + z) + 25*z**4 + 10*z**4 + 12*z**4 + 0*z + 0*z - 2*z**4.\nAnswer: 49*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9*w. Let j be f(-7). Suppose 3*m + 3 = 0, -4*t - 3*m + 138 + j = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 139925?\nAnswer: 559700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**3 - 31*z**2 - 69*z - 811. Calculate w(-10).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2 + 15*w + 11. Let q(a) = a**2 + 1. Let y(i) = o(i) - q(i). Determine x so that y(x) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from kpka?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/488 and -59\/1962.\nAnswer: 478728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/2))**9*(m**6*m*m)\/m**4)**(-6\/13))**(-3) assuming m is positive.\nAnswer: m**(-9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 675.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.05206 + 1.9\nAnswer: 1.95206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 2 - (-10 + -20 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9863897 years in decades?\nAnswer: 0.09863897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/14954481 and -19\/13866.\nAnswer: 29908962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-1 + -1) + (-4 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27335203 is divided by 854225.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 68*v - 20. Calculate b(-34).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3 - 25419*d**2 - 25416*d = 0. Calculate d.\nAnswer: -8472, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25721631 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6859896?\nAnswer: 2, 3, 53, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (1\/2)\/(274\/(-411)*6\/(-85472))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*-6*2\/10. Let v(q) be the first derivative of 3*q**2\/2 - 5*q - 6. Let d(l) = 2*l - 3. What is j*v(c) - 10*d(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uum when three letters picked without replacement from ummumumumm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30233 + -11311133?\nAnswer: -12002032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 6:47 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 59*l**4\/4 - l**2 - 1393*l + 1296. What is the second derivative of m(h) wrt h?\nAnswer: 354*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*a - 1)*(-9 - 4 + 4)*(-8*a**2 - 2*a**2 + 2*a**2).\nAnswer: -144*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/11 - 2500*h**2\/11 + 2506*h\/11 + 5004\/11 = 0. What is h?\nAnswer: -1251, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -13.95127?\nAnswer: 10.95127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 2, k: 1}. What is prob of picking 2 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 11 = -4*y + 3*y, 5*y - 50 = 5*d. Calculate the lowest common multiple of 8 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - t**2)*(4561*t**2 + 2944*t - 2944*t)*(2 - 2*t - 2).\nAnswer: 9122*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(308)*-1 + (2*sqrt(308) + sqrt(308))*-2)\/((-1*sqrt(66)*2)\/(sqrt(6)*1*3)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 14) to base 5.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 8. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 10*i - 11. Let c be b(8). Suppose 3*o - 2*d - 143 = -52, 3*d + 151 = c*o. Calculate the remainder when 85 is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8960512 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53242 + 43556?\nAnswer: 106808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 24. Determine k(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 222679*o*w**4 - 2*o*w**3 - 15*o*w**2 + 14*o*w + o - 10*w**3 - 236*w wrt w?\nAnswer: 5344296*o*w - 12*o - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.5 in 0.07, 23.54, -5, -1\/8?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3052471.\nAnswer: 3052471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*m + 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-24\/7)*(v**(-2))**(-25)*(v\/((v\/v**(2\/25))\/v))\/v**4*v\/((v*v**(2\/5)\/v)\/v)*v**2 assuming v is positive.\nAnswer: v**(8269\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -21462 + 10733 + 10729 + 4*c. Let i(a) = -25*a. Calculate i(b(l)).\nAnswer: -100*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*x = -6*x - 8, 5*q = -4*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 - -24355916901\nAnswer: 24355916901.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -719917 - 62*c**2 + 719847 - 108*c**2 in the form a + o*c**2 + x*c and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = 4. What is the remainder when 15 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b. Let d(w) = 2*w. Let o(i) = -33*i. Let t(p) = 102*d(p) + 6*o(p). Give 8*a(k) - 3*t(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + z + 93 = 16, 4*z - 100 = -5*g. Calculate the remainder when 93 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338 is divided by 90?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2271, 518, 0?\nAnswer: 1\/2271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 9:07 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34451*b**2 + 35055*b**2 - 68719*b**2 to the form n*b + t*b**2 + x and give t.\nAnswer: 787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*v + 211*v = 3220. Let f = v + 462. Factor 2\/3*x**f - 2\/3 + 0*x.\nAnswer: 2*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/84*29\/(3045\/(-84))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 829 = -2*a + a, -3*p + 3*a = -483. Let u(g) = g**3 + 19*g**2 + 11*g - 111. Let m be u(-18). What is the highest common factor of m and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6025229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l + 42 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48\/((-12)\/3)*10\/(-4). Let f = b + -61\/2. What is the nearest to 0 in -3, f, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 85579*j - 23 = -85574*j, 5*m - 2*j = 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x**2 + x + 1. Let n(u) = 3*u**3 + 11*u**2 + 2*u + 2. Let r(a) = n(a) - 2*z(a). What is the third derivative of r(h) wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/60 and -67\/44930.\nAnswer: 269580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2\/(-12) - 1750\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 83, -4\/65, -140?\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*t - 220 + 220 in the form j + q*t and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/2205 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + -4*-3*(-2 + sqrt(405))*5))**2*2.\nAnswer: -1071360*sqrt(5) + 11787008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20456, 20452, 20446, 20438, 20428, 20416?\n\"Answer: -c**2 - c + 20458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.158 + 0.158. Let l = 1.7 + x. Let j be 2\/8 - (-42)\/(-8). Which is the closest to 0? (a) l (b) 6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*w**2 + 4 + 47*w**2 - 4.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = -5*x - 420. Let a be (-4)\/(-6) - 20\/3. Does 8 divide (-398)\/(-10) + a\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 2082269664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - 0.2. Suppose 100*y = 99*y. Let q be 1\/(-10)*-9 + 10\/(-100). Which is the second smallest value? (a) 1 (b) q (c) h (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55, -54, -55, -58, -63, -70, -79?\n\"Answer: -y**2 + 4*y - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4554 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3)**(4\/35)*f**27*f*f**22\/f)**(-16) assuming f is positive.\nAnswer: f**(-27632\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (3 - 3) - 17 - -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/14*163\/(-1304)*1*-7.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 21*w. Let p(b) be the first derivative of -2*b**2 - 20. Determine p(c(h)).\nAnswer: -84*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*o + 38*o + 2162 - 286 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 1\/32*i**4 - 3*i**2 + 1\/12*i**3 + 0*i + 0 + 1\/240*i**5. Suppose g(p) = 0. Calculate p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*p**2 + 499*p**2 + 1 - 130*p**2.\nAnswer: 660*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 17\/36*q**4 + 1\/18*q**5 + 3\/2*q**2 + 0*q + 1 + 2\/3*q**3. Let z(s) be the second derivative of d(s). What is b in z(b) = 0?\nAnswer: -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71443*n**3 + 71437*n**3 - 214302*n**3 + 0*n + 0*n + 71434*n**3.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 2116, 7117, 16870, 32959?\nAnswer: 56968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*r = 163*r + 6, 0 = -4*i + 5*r + 86 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/5*2\/(-3)*4\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2273, 2279, 2299, 2333?\nAnswer: 2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1970.715 - 4\nAnswer: -1974.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 87, -8, 4.\nAnswer: -8, 0, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 716 and 22.\nAnswer: 15752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.565 and -3.\nAnswer: -7.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 127*m**3 + 10*m - 5. Let s(v) = 1969*v**3 + 154*v - 77. Determine 5*s(t) - 77*x(t).\nAnswer: 66*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 217496470108306 and 2.\nAnswer: 217496470108308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**3\/6 + 113*c - 1. Let g(h) = 14*h. What is g(b) + 10*y(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59801 - -1297571.\nAnswer: 1237770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 5. Give y(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0)\/(3*2\/3). Suppose f = 17*s - 2497 - 1022. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/165*(-2)\/(-4). Let t(k) be the first derivative of -q*k**3 - 5 + 1\/5*k**6 - 1\/2*k**4 + 2\/25*k**5 + 0*k + 2\/5*k**2. Let t(v) = 0. What is v?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -41*a**3 - 11*a - 3*a**2 + 25*a + 3 - 12 - 17*a. Is u(-3) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*w - 0*w. Let m = 4 - w. Let d be 1*4*m\/36. Calculate the greatest common factor of d and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65723249 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 6:25 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 23. Let m be -146 + 2 + -2 + n. Let x = 1298\/9 + m. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*o - 12 = -k, 0 = 3*k - o - 7. Let t = 1 - k. Solve -l - 3*l = t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) -509 (b) 26 (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u**2 - 5*u + 9. Suppose 5*v = -5*n - 10, 4*n = 5*v + 5 - 58. Let h(s) = -3*s**2 + 24*s**2 - 3*s**2 + 4*s - 13*s**2 - 8. Calculate n*h(g) - 6*d(g).\nAnswer: g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5146\/332*1*(31 + -1) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-10 - (21 + -14 + 3 + 0 + 58))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4284 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**20\/l)**(26\/5) assuming l is positive.\nAnswer: l**(494\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 584 = -9*x. Let o = x + 164. Solve 3*z + o = 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5153, 5165, 5177?\nAnswer: 5189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 3*o - 1. Let i be b(4). Suppose 0 = -13*x + 4*x + 18. Suppose -x*m + 21 = 5*m. Solve -i = 2*n + m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277.148 plus 277.4?\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + -87. Which is the closest to h? (a) 0.01 (b) -3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, k: 6, u: 1}. What is prob of sequence kue?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)*3)\/sqrt(5) + 2)*5.\nAnswer: 10 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**4\/19 + 52*g**3\/19 + 50*g**2\/19 = 0?\nAnswer: -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14a (base 12) to base 9.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 45. Suppose 4*i - 5 = 7. Calculate the remainder when i is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-1)\/(-7 - (-174792)\/24972)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2207?\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.848 + 2.048. What is the nearest to 2 in f, -4\/5, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - x**2 - x + 1510. Suppose 7 = 2*q - 3. Suppose -r = q*j + 10, -r - 2 - 2 = 2*j. Let m be u(r). Round m to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - g + 3. Let x be b(0). Let o be 20\/(4\/(-3) - (-90)\/27). Suppose 24 = o*k - 6*k. Solve -k = 2*t - x*m + 5, 3*t - 4*m = -16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*b**2 + 394 - 394 as s + t*b**2 + w*b and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)\/((i\/i**3)\/i)*(i\/i**1*i)**9)**(-9) assuming i is positive.\nAnswer: i**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 - -79. Let x(g) = 3*g + 1. Suppose 11*j + 5 = 16*j. Let l be x(j). Solve l*b + 0*b - s = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/6, 0.5, 6, -5, 326?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 1037?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8913*l - 668. Is d(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1716 + -1716. Solve -4*r + 4 = -13*v + 14*v, j = -3*v + 5*r + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12, 2, 4 in decreasing order.\nAnswer: 4, 2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**3\/5 - 54*t**2\/5 - 242*t\/5 - 186\/5 = 0.\nAnswer: -3, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 l when three letters picked without replacement from {u: 5, l: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 63892028 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8896, 9052, 9312, 9676, 10144?\n\"Answer: 52*s**2 + 8844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 1419, -24, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 - 15*k**2 + 14*k - 134. Give m(-7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, d: 6}. Give prob of sequence dd.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 19 = 2*i + 6, 2*z - 3*i = -2. Find the third derivative of 0*l**z + 4*l**2 + l**5 + l**5 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -680142 - -45\nAnswer: -680097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-21)\/98)\/(-9).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)*o**0)\/(((o\/(o*o**2*o*o)*o)\/o)\/(o*o*o\/((o**(-2\/11)\/o)\/o)*o)))\/((o**(-2\/9)\/o)\/(o*o**(-2\/13)\/o*o)*(o**1)**(-17\/5)) assuming o is positive.\nAnswer: o**(62099\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-1 - -8 - (12 - 10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2186.379ml in litres?\nAnswer: 2.186379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -121404.52429 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 4, -76?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29497 + 168503. What is a rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 - -61)*(-1)\/18 + 5\/5085*-217?\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 + 57. Let p(u) = -u**2 + s*u**2 + 216 + 0*u + 5*u - 211. Determine p(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5, 2, -2 in descending order.\nAnswer: 4, 2, 2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 6 = -7*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12773682?\nAnswer: 2, 3, 709649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m + 6. Let z(v) = 1. What is -n(x) + 2*z(x)?\nAnswer: -3*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 77. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1356*u**6 - 1569*u**2.\nAnswer: 162720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -11. Suppose 2*y + 3*q - 19 = 0, 14 = 4*y - 2*q - 0*q. Solve -27 = -3*p - y*u, -i = -4*u + 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795 = 3*h - 2*h - 4*k - 817, 0*h - 4*k - 18 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 5 = -2*z - 21*x + 6*x - 2, -2*x = 4*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125568 and 384?\nAnswer: 125568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 + 4*n**2\/5 + 6*n - 72\/5.\nAnswer: -2*(n - 3)**2*(n + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*l + 11*l + 32*l + (0 - 3 + 2)*(-5*l + 4*l + 0*l) + (0*l - 3*l + 5*l)*(-2 + 1 + 3) + 0 + 5*l + 0.\nAnswer: 69*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r. Let a(q) be the third derivative of q**4\/8 - 361*q**3\/3 + 41*q**2 - 7*q + 1. What is c(a(m))?\nAnswer: 3*m - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/25 - (-306)\/105 and 3\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -24, -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14117 and 7.\nAnswer: 14124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28215289681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199 - -252. Suppose -21*b + p = -1607. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24826 = 21*w + 3406. List the prime factors of w.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206293 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1925*k**3 - 10*k + 4?\nAnswer: 11550*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4838 and 1886.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 13. Which is smaller: 2\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 4) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, -5, -186 in decreasing order.\nAnswer: 3, 1, -4, -5, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 18*n + 26 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = k + 1109*r - 1105*r, 206*k = -r - 7207 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4\/5 + 609*g**3\/5 + 22636*g**2\/5 - 41811*g\/5 - 11858\/5 = 0. Calculate g.\nAnswer: -77, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -98 + -1 + -35 + 1210\/22\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -430 - 2344.\nAnswer: -2774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 357 + -105. Suppose -2*w - 2*w + 336 = -3*m, 3*w - m - y = 0. Suppose 4*c - 179 = -5*h, 2*c + 4*h - w = -2. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 857.2284 decades?\nAnswer: 102867.408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o = 12. Suppose -5*n + o*n - 28 = 0. Calculate the lowest common multiple of (-188)\/n - 4\/(-14) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 22 - 11*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m + 57. Let z(y) = -10*y + 57. Let a(f) = -5*h(f) + 4*z(f). Let t be a(6). Solve -o + 20 = t*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1016*q + 134010. Calculate f(132).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**4 + 1425*x**3 + 122946*x**2 + 915936*x + 1787040 = 0.\nAnswer: -365, -102, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35\/(-6) + (-12)\/72. Let n(b) = -b**3 - 6*b**2 - 3*b - 1. What is n(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -126*t + 852. What is g(7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2302 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 9:40 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-8618575564255\nAnswer: -8618575564255.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/152 and -19\/7644?\nAnswer: 290472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/7 + 44*y**2\/7 - 40*y + 400\/7 = 0. What is y?\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*1 + 2 + 4.\nAnswer: sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 160*h**2 - 165*h - 955. Let q be m(-159). Put 146, -0.01, -4, q, -0.2 in increasing order.\nAnswer: -4, q, -0.2, -0.01, 146","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -271 + 274. Let c(o) be the third derivative of 1\/30*o**5 + n*o**2 + 0 + 0*o - 1\/3*o**3 + 0*o**4. Factor c(k).\nAnswer: 2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 2:04 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 77*l**4 - 198 wrt l?\nAnswer: 308*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 2*f - 2 + 0*f + (-2 + 1 + 0)*(-f + f + f) + f - 3*f + 12*f - 2 + 3*f + 2)*(0*f**3 - 5*f**3 + 4*f**3)*(2 - 2*f - 2)*(-35 - 5 - 16).\nAnswer: -1232*f**5 + 224*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + 0*r**2 - 2*r**2 + (-3 + 12 - 57)*(2*r**2 + r**2 - r**2) + (-2*r + 3*r + 0*r)*(-r + 16*r - 3*r) to the form y*r**2 + j*r + q and give y.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -31, -66, -111, -172, -255?\n\"Answer: -y**3 + 4*y**2 - 36*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + 4*1*sqrt(3)) + 2)**2.\nAnswer: 160*sqrt(3) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 2*j - 141. Calculate the highest common divisor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/6 + (-13592635)\/(-987) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 12*s**2 + 6*s - 12. Let m be d(4). Let g = m + -102. What is the remainder when 185 is divided by g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 103. Suppose 2*t + 8 - v = 0. What is the third derivative of -39*g - 2*g**3 + 8*g**2 + t*g wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13821*f**3 + 6809*f**2 - 1?\nAnswer: -82926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*k - 8*k + 14*k - k + 9 - 9 + (3 + 3 - 4)*(-3*k - k + 5*k))*(2 - 3 + 11) as v + d*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140547 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*w - w. Suppose y = 3*y - w. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 563 + -569.631. Let n = k + -0.069. What is n rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 109 = 3*t + 4*x, -5*t = x - 129. Suppose -5*v = -5*h + t, -h = 2*v - 5*v - 3. Suppose 28 = -4*w + h*w. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2) + 1)*3 - ((sqrt(162)*1 + sqrt(162))**2 + sqrt(8)\/(sqrt(16) + sqrt(4))).\nAnswer: -647 + 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4058795 by -5.\nAnswer: -811759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-760)\/100 - (-9)\/15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16534 - 0.06349. What is k rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 771 = 3*o, -4*i + 620 = -19*o + 15*o. What is the remainder when i is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/9*-3)\/(1\/1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -403 and 162?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -4*r - 20, 0 = 3*r - 6*r - 4*h - 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 8. Let o = x + 81. What is the second biggest value in -8\/13, 1\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 3, 4, -3, -72 in descending order.\nAnswer: 4, 3, 2, -3, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -75, -148, -263, -414, -595, -800, -1023?\n\"Answer: q**3 - 27*q**2 + q - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1449 + -1451. Which is the fourth biggest value? (a) -12 (b) -5 (c) w (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1*1*0\/(-36). Let z(p) be the third derivative of -1\/4*p**4 + l*p - 1\/30*p**5 - 2\/3*p**3 + 0 - 4*p**2. Factor z(m).\nAnswer: -2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*u**5\/5 + 248*u**4\/5 + 1186*u**3\/5 + 2172*u**2\/5 + 896*u\/5 - 64 = 0. What is u?\nAnswer: -5, -4, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 1)*(h - 4*h + 5*h) + 3*h + 7*h - h)*(h - h - 3*h) - 16*h + 16*h + 18*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-15)\/20)\/3*-1\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 72 = -34*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5372 and 4898.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -4, -1\/14, 135, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/36 + (-1)\/(-6). Let x be (-1)\/4 + (-22)\/8. What is the closest to b in 1\/3, x, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102295, 409147, 920561, 1636531, 2557051, 3682115, 5011717?\nAnswer: 6545851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -503, -1009, -1517, -2027?\n\"Answer: -g**2 - 503*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 9 + 6. Suppose k*w = w. Let z be 0*2\/(-6) + w. Solve 2*x - 4*n = x - 1, -n = z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 21*l - 21. Let h be c(5). Let v(p) = 2 - h*p - 2 + 86*p. Let j(w) = 4*w**2. What is v(j(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12857\/4 less than or equal to -3214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192656487.\nAnswer: 3, 23, 2792123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27076270 is divided by 9025423.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 0*o**2 + o + 10 + 0*o**3 - 9\/4*o**4. What is the derivative of y(m) wrt m?\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000622 rounded to 6 dps?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 5*h = -20. Suppose -939656 = h*b - 33739688. Suppose 4*n - 2*f + 3*f = 32799996, n - b = 2*f. Round n to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, -8, 18058, 20?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 63, 99, 135?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128 is divided by 97?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 6000*c - 3000000.\nAnswer: -3*(c + 1000)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -5, -3, 0, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 5 = 9*j - 3*w, 5*j + 23 = w. Suppose 0*n - 15 = -5*n. Let d(x) = 5 + 5*x**2 + n - 3 + 5*x + x**3. Give d(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrbrrrblbbbbrbrlb. What is prob of picking 3 b?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110100 - 10110010?\nAnswer: -1001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322553?\nAnswer: 7, 11, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**4\/12 - 5*k**3\/2 - 119*k**2\/2 + 103*k. What is the first derivative of u(z) wrt z?\nAnswer: 2*z - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 6*z = 0. Which is smaller: z or -5\/14?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-63))\/(90\/63)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2230, 2546, 2862?\n\"Answer: 316*h + 1914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*o - 297869 = 66*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 5, -0.4, 0.15, 3155?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 24*w - 4490. Let b = -199 + w. Sort 5, 3, b in descending order.\nAnswer: 5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/((-3)\/(-18)*6498\/190).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*z**2 - 3*z - 103 wrt z?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**3 + 17*v**2 + 14*v + 3. Let a(x) = x**3 + x**2 + x - 1. Let d(i) = -6*a(i) + h(i). Let o be d(12). What is the units digit of 8\/(-6*1\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98736 or -98738?\nAnswer: -98738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 10*n**2 - 6. Let v(l) = -8*l**2 - 4*l**2 + 13*l**2 + 5*l**2 - 5*l**2 + 1. What is 2*p(t) + 22*v(t)?\nAnswer: 2*t**3 + 2*t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**4 + 2 - m - 69*m**3 + 17*m**2 + 136*m**3 - 4 - 69*m**3 to the form h*m**2 + u*m + x*m**3 + a*m**4 + y and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -20) + 18 + -86 + 46 + -57 + -1?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-9)*649\/(-19470).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/120683 and -81\/129115.\nAnswer: 29567335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*((-6)\/(-4) + -4). Solve -j + 3 - q = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 + 12*n**2 - 9*n - 7. Let p be y(-6). Let j = -30 + p. Let l(r) = -j - r**2 + 8 + 9. Let b(t) = -9*t**2. Give l(b(u)).\nAnswer: -81*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4 - 11. Let r = -3749 + 3760. Sort 3, r, j.\nAnswer: j, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129 - -130. Suppose -4*p + 8*p - 4*m = -16, -10 = 5*p - 3*m. What is the remainder when p is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 15 - (-2 + (-12 - -8 - (1 + 0))).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 5*d**2 + 6*d + 35. Let z be r(-5). Suppose 4*h = -0*h. Find the second derivative of z*c**5 - 10*c**5 + 3*c**5 + h*c + 3*c wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -218, -3, 1.\nAnswer: -218, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(-2*sqrt(800)) + 0 - (3*((sqrt(117) - (sqrt(117) - (sqrt(117) + -1*sqrt(117) - sqrt(117)))) + sqrt(117)))\/(4*sqrt(18)\/sqrt(2)))**2.\nAnswer: 13\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 2306, -9, 110, 5 in increasing order.\nAnswer: -9, -5, -1, 5, 110, 2306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20611653 is divided by 6870549.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8624 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 2053698?\nAnswer: 2053698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((-5)\/(-15)*3 + 1). Suppose -4*f - 16 - 8 = -r*m, 2*m + 3*f = 33. Calculate the highest common divisor of m and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/3)*s)\/((s**5*s)\/s)*(s**(-2\/3))**(-4) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-90))\/(16\/6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 13 = 2*m - 11, 0 = 5*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -24 - (-1 - 93 - (-107 - -104)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 + -46. Suppose i*b - 7 = 8. Let a be 0*-2*(-1)\/4. Solve -5*z = -4*n - b, 3*z + 3*n = -a*z + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -2\/7841369, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 749 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2. Let w(h) be the third derivative of 4*h**2 + 0*h**4 + 0*h + 0 - 1\/15*h**5 + 0*h**3. Give w(d(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416 divided by -59?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w - 2*w - w - 3*w as m + u*w and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 475\/(-19)*1196\/130*1\/(8\/4)\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*z - 2268 = -94*z. What is the remainder when 2554 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-14)\/(-4))*70\/15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 373820 - ((11 - 11)*(-2)\/(-4))\/3. Round p to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 16 + 0 + -11 + -1 + -18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 1 - 4*p + 92*p**2 - p.\nAnswer: 92*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 2*n**2 - 4*n - 8. Let j be p(2). Solve 0 = -4*i - i - j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27882 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -158 + 1424\/9. Let o = 0 + 0.1. Which is the closest to o? (a) l (b) -5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 35*r - 677. What is x(22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58974 + 272106037\/4614. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 2 + 3*w**3 - 3*w + 0*w + 4*w in the form u*w + j*w**3 + m*w**2 + h and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 5*v - 18*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 + 75. Put -3, 3, z in descending order.\nAnswer: z, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 5, 3*k - 3*y - 29 = y. Let c be ((-1)\/k)\/((-2)\/6). Solve -3*d - 2 = -4*t, -3*t - 3 = -4*d - c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 95 + 39*u - 153*u**2 - 2 + 150*u**2 - 8*u + 73 wrt u?\nAnswer: -6*u + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4)*-7)\/((-2)\/(-4)). Suppose 34 = x*p + 13. Calculate the highest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8*k - 63 = 0. Suppose 0 = k*d - 5*d - j - 552, 0 = 4*j. What are the prime factors of d?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76111 is divided by 12684?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 9. Let h = j + 22.04. Which is the closest to -0.1? (a) 3 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 4:56 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 35 = -2*z. Let s(a) = -a - 4. Let n be s(3). Let g(t) = 0*t - 2 - 2 - 5*t. Let p(c) = 2*c + 2. Determine n*p(q) + z*g(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2481*c + 2479*c - 4*a = -22, -3*c + 3*a = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -12. Suppose 2*h = -r*h + 5*j + 10, 0 = -3*h + 3*j + 9. Suppose 1 = -3*d + 7. Solve -d*a + h*a = 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.33869 litres to millilitres.\nAnswer: 4338.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.158 and -2702.1.\nAnswer: -2702.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 10 = -22. Let c be 95\/35 + (-4)\/(-14). Let q be -3*(0 - 5\/(-3)). Sort g, q, c.\nAnswer: q, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-3) - (-13 + 14). Let u = -1055287 + 471712985\/447. Let i = u - -2\/149. Put i, o, -0.3 in ascending order.\nAnswer: i, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 369 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Let x = -0.5 + 0.53. Let h = 0.43 - x. Which is the second biggest value? (a) 0.5 (b) s (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*9*(-1 + 987\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4783336472 + -0.013?\nAnswer: 4783336471.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 2*n - 4, -2*w - 41*n + 7 = -44*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61999048?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7799 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**4\/2 - 570*t**3 - 6809*t**2\/2 - 2829*t + 6804 = 0.\nAnswer: -1134, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 238 and 1568?\nAnswer: 26656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(2450))**2 - (sqrt(56)\/sqrt(7))\/sqrt(4))*-6.\nAnswer: -6*sqrt(2) + 14700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -274*m - 6748. Determine f(-25).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pusnk. Give prob of sequence knp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1317 and 44339.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -177*g**2 - 9184*g + 464. What is i(-52)?\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150609317 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -219.\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -29. Let o(l) = 2*l**2 + 19*l - 3. Let n be o(w). Put n, 1\/2, 5 in descending order.\nAnswer: n, 5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/72 and (-1174)\/(-2320) + ((-91)\/(-35))\/(-13)?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a + 20. Suppose 75 = a*c + c. What are the prime factors of (-6)\/(-15) - (-39)\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*f - 253*f + 0 + 0.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 323 = -0*s + 5*s, 0 = -4*q + 4*s - 1220. Let z = -139 - q. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4344*b. Let n(k) = -34*k**2 + 2*k. Determine n(q(o)).\nAnswer: -641591424*o**2 + 8688*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18 - 15)\/(3\/23). Suppose -202 = a*r - 1812. What is the remainder when r is divided by 52?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -228 + 231. What is the third derivative of -7*c**k - 2*c**4 - 5*c**5 - 11*c**3 - 25*c**2 + 18*c**3 wrt c?\nAnswer: -300*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 1814259?\nAnswer: -1814254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/(8\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 898057966984*d - 898057966984*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**3 + 11 - v**3 + 6*v**3 - 2*v**4 - 2*v - 7*v**3 to the form z*v + m*v**2 + o*v**4 + s + c*v**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5\/2, 4, 3\/16, 5, 1\/49.\nAnswer: 1\/49, 3\/16, 5\/2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2484262654?\nAnswer: 2, 19, 3440807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.99 + 0.01. Let q = 0.0469 + -0.9469. Let h = q + n. Round h to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -11*w**3 + 21. Let i(h) be the third derivative of h**6\/24 - 5*h**3\/3 + h**2 + 5*h. Give 13*i(p) + 6*q(p).\nAnswer: -p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93*r*t**2 + r*t - 2172*r wrt t.\nAnswer: -186*r*t + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 24\/6*(-2 - -94)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13638.157 to the nearest 10.\nAnswer: -13640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2385400?\nAnswer: 2, 5, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -6. Let v = o + 54. Suppose 7*f = 2*f + 20. Solve -3*w + f - v = d, 8 = -w - 3*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52532 - 26111. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3 = -o. Suppose -o*p + 2*p + 3 = 0. Solve d - 6 = p*m + 2*d, 2*m + 3*d + 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/10 and ((-6)\/64)\/((81\/282)\/9).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -190, -197, -208, -223, -242, -265, -292?\n\"Answer: -2*n**2 - n - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 4*n**2 + 2*n + 0 + 1\/5*n**6 - 4\/5*n**5 - 1\/2*n**4 + 4*n**3. Factor g(p).\nAnswer: 2*(p - 2)**2*(p + 1)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/(-50) + 701\/60 and -73\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.94 - -20.94000355. What is x rounded to 7 dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 132. Let l be 3*z\/(-90)*-73. Let x = l - -206. What is the nearest to -3 in -0.2, x, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a factor of 385633025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2. Suppose 0 = 5*d - 3*b - 29, 0 = d + 3*d - 2*b - 22. Suppose 2*h = 3*h - 44. Let m(r) = -h + d*r + 44. What is x(m(s))?\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/(-14) - (-4)\/(-14). Let g = 360545 + -360545.4. Put r, g, -12 in decreasing order.\nAnswer: g, r, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 363 + -331. Suppose -m*g = -29*g. Solve g = -0*q + 2*q - b + 11, -2*q + 2*b = 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-21))\/((-2)\/7). Suppose -2*s - u*s + 18 = -k, 5*s - 21 = 2*k. Solve 3*f - 6 = f + 4*c, s*f = c - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 4*z + 20505. Let x be u(0). Suppose -4*p = -2*i - 27340, 2*p + p + 3*i = x. Suppose y = 3*y - 8, 0 = -3*g + 5*y + p. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 + 0 + 1 + 0*h**2 + 0*h + 0*h - 3*h**2 + (4*h - 5*h - 5*h)*(0 + 0 + 2*h) + 4*h**2 - 4*h**2 + 2*h**2 + 2*h as l*h**2 + y + u*h and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(2\/25)))\/((y\/y**(1\/8))\/y))\/(((y\/(((y**(-2\/41)*y)\/y)\/y)*y)\/y*y)\/(y*y**(3\/7))) assuming y is positive.\nAnswer: y**(-90417\/57400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1184)\/1110 + (-4)\/(-6))*45. Put o, 4, 11 in decreasing order.\nAnswer: 11, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 5 - 1)*(16*t + 7*t + 9 - 24*t) as y + i*t and give y.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + -2 + sqrt(405))**2.\nAnswer: -72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 27*i**2 - 20*i - 22. What are the prime factors of h(26)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/3206 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 5. Let i(q) = -q - 9. Suppose -5 = -2*b + 1. Let z be 165\/21 + 4\/28. Suppose 5*l - z = 17. What is b*i(k) + l*w(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -635, -935, -1227, -1511, -1787, -2055?\nAnswer: -2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23147066, -46294134, -69441192, -92588234, -115735254, -138882246?\nAnswer: -162029204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**2 + 5*l + 1. Let x(d) = -10*d**2 - 8*d - 2. Let q(k) = -7*p(k) - 5*x(k). Suppose 2*s - 21 = s + 5*h, 0 = -2*s - 3*h - 23. Calculate q(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 + 3 + 11 + (-4 - 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26665 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + s**4 - 1 + 6*s**4)*(7 + 5*s - 5 - 4).\nAnswer: 25*s**5 - 10*s**4 - 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 96 + -3?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -311, -652, -983, -1298, -1591?\n\"Answer: a**3 - a**2 - 345*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -353 and -4.418?\nAnswer: 1559.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Suppose 3*v + 1 = b, 452*v - 449*v - 5*b + 29 = 0. Solve p + v = d*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-1)\/(-2 - -4). Suppose -x + 2*x = 2*d + 125, x + 5*d - 104 = l. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 3*(5 + sqrt(3) + 0))*-2 + (sqrt(240)*1)\/((sqrt(5) - sqrt(80)*6) + sqrt(5))*6)**2.\nAnswer: 4992*sqrt(3)\/11 + 142156\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27 and 99\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 - (10 - (49 + 83)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u*u**(-6))\/u*u**(3\/8))**(-6\/19) assuming u is positive.\nAnswer: u**(87\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64177 + 12708*t**3 + 64163 - 12702*t**3.\nAnswer: 6*t**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = -f - k + 27, 24*f - 564 = 14*k + 16*k - 26*k for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 12152*v - 58 + 25 + 20 in the form m*v + l and give m.\nAnswer: 12152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 132.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 8*q - 16. Let b be c(4). Suppose 5*y + b = 52. Differentiate y*t - 10 - 5*t - 14*t with respect to t.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1658.9 to the nearest 10.\nAnswer: -1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-3)*-36*(-1)\/8. Let v(q) = -q**2 - q + 1. Let a(h) = 15*h**2 + 6*h - 6. What is p*v(d) - a(d)?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193203 - s + 386374 - 2*s - 193196.\nAnswer: -3*s - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -143, -422, -889, -1544?\n\"Answer: -94*u**2 + 3*u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101276234029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p**2 + 13726*p + 27481. Calculate g(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -39*a - 13 - 33*a + 72*a - a**3. Let c(u) = -u - 2. Calculate w(c(m)).\nAnswer: -3*m**2 - 12*m - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -527579*g**5 + 6*g**2 + 69*g - 31.\nAnswer: -31654740*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 19*z - 1. Let r(k) = 31. Calculate 6*b(q) + r(q).\nAnswer: 114*q + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 1, 4, -7 in descending order.\nAnswer: 4, 1, -2\/15, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -3\/91 (b) 111 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2438, 10377, 23814, 42749, 67182?\n\"Answer: 2749*p**2 - 308*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -225, -1973, -6719, -15963, -31205, -53945, -85683, -127919?\n\"Answer: -250*b**3 + b**2 - b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19680?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -24 - -34 - 12\/2. Suppose u - 6*u + 3*r + 10 = 0, a*u - 35 = -3*r. Put -4, u, 8 in decreasing order.\nAnswer: 8, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1261 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*f + 60 = -59*f. Calculate the lowest common multiple of 1024 and f.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1537*d - 6. Let c be g(-5). Suppose -18*p + 11*p = -c. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-20)*(5 + -2 - -131). Let k = -193 - n. Solve 9*j = 7*j - k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 1?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -459 + 264. Let b = t - -197. Solve b*c = -c, 3*v = -4*c - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 307521492 and 307521493 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = k - 185, 5*q = -0*k - 4*k + 615. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/130*-130 + 8\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 1\/5, 1, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 147685.556 to the nearest ten.\nAnswer: 147690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 661 - 651. What is the nearest to i in -2, -5\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-7*(-14)\/((-616)\/22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 34*i + 269. Give n(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/9 of a week?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*d**2*i**3 + 79075197*d**2*i**2 - 4*d*i**3 - 1266*i**3 wrt i.\nAnswer: -402*d**2 - 24*d - 7596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**2. Let w(a) = 14*a**2. Determine 11*m(z) + 4*w(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6 - 5*h**2 + 5*h**6 + 5*h**6 wrt h?\nAnswer: 1320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -13\/60*n**5 - 26\/3*n**3 + 0*n**4 + 2 + 0*n - 29*n**2. What is the first derivative of f(r) wrt r?\nAnswer: -26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -444 - -443. What is the closest to -4 in 1, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a + 15. Let r be (-2)\/a + 4\/10. Suppose 5*m = l - 0*l + 32, r = -3*m - l + 24. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47 + 102 - 45)*(3 - 3 + 3*w**4) in the form z + j*w**4 + p*w**2 + u*w**3 + g*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -30*n. Let m(f) = 110395*f**2. What is m(p(z))?\nAnswer: 99355500*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/8)*z*z*(z*z\/z**11)\/z*z*(z\/(z\/(z\/z**(-8))))**(2\/7) assuming z is positive.\nAnswer: z**(-269\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -158, -618 in descending order.\nAnswer: -14, -158, -618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6178*m - 6187*m = 45 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n - 5*f + 8, -2*f = -2*n + 4. Let b be -1*(n - 2) - -47. Let s = -18 + b. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1219*p + 1224*p + 2*n = 24609, 2*n + 24621 = 5*p. List the prime factors of p.\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-2)*144\/(-40). Suppose -4*q = 3*s - 28 + o, -5*q = 2*s - 15. Let y be 6 + (-15 + 14 - 8). Sort -2, y, s, -0.1 in ascending order.\nAnswer: y, -2, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.102, -2\/9, 8, 27, 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92197\/110 - -4206\/5. Suppose 3*w + 2*w - 360 = 0. Find the common denominator of k and 548\/2*2\/w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-26) + -2 + 108\/(-195)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 h, and 1 z when four letters picked without replacement from qqhzltt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 7, y: 1, w: 5}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in 0.5, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*l - 185*l - 7 = -7. Let l + 26\/3*i**2 + 4*i**3 + 4\/3*i = 0. Calculate i.\nAnswer: -2, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*z - 18048 = 26*z. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n - 3. Let p be u(2). Calculate the greatest common factor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1239533 + -17.1.\nAnswer: -1239550.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 91*a**2 + 1003*a - 77. Give i(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 191094532, 191094531, 191094530, 191094529, 191094528, 191094527?\n\"Answer: -u + 191094533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2860466693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 161*w**2 + 7 + 15429*w - 15429*w + 12 - 27 as d*w + b*w**2 + i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5\/2 - 9*w**4\/2 + 273*w**3 - 1390*w**2 - 3900*w = 0.\nAnswer: -30, -2, 0, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170.6 - 143. Let f = h + -25.54. What is f rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7510*i + 7488. Give w(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x + 7*x + 104*x**2 + 17*x.\nAnswer: 104*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from {r: 1, q: 5, w: 2, h: 1, v: 3}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0 + (1 + 0 + 1)*(-4 + 0 + 3) + 6 - 2 - 3)*(a + 0*a + 0 - 1)*(4*a - 5*a + 6*a).\nAnswer: 5*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1561626 times 10\nAnswer: -15616260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -145326\nAnswer: 1\/48442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(16\/12 + -3). Let n(i) = -i**3 - 4*i**2 + 4*i - 2. Let r be n(x). Solve -3 = s, 5*o = -r*s - 16 - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-3 - -3) + -7 + 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 851\/2 - 4251\/10. Let i(h) be the first derivative of j*h**5 + 0*h**2 + 0*h**4 - 5 + 0*h**3 + 15*h. Differentiate i(p) with respect to p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 7. Suppose 3*z - 4*s = -5, -4*s = -2*z - y*z. Suppose -3*f = 4*x - 3, 2*x = -z*f + 11 + 8. What is the highest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 4*c + 4. Let l be v(4). Suppose u + l = 12. Calculate the remainder when 19 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1 (c) 1\/5 (d) -1\/4 (e) -1\/3 (f) -3.51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-5 - (2 - (3 - -2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(6)\/sqrt(2)*4.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6*w)\/w*w\/(w*w\/w**9)*w**6\/w**(-8\/3) assuming w is positive.\nAnswer: w**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c. Let o(w) be the second derivative of 1\/12*w**4 + 0*w**3 + 0*w**2 - 173*w + 0. Give r(o(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*s - 4124331 - 3423653, 5*i + 3*s = -37739988. What is i rounded to the nearest 100000?\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/9 + 298*b**3\/3.\nAnswer: b**3*(b + 894)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 1\/40?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-132)\/330 + 112\/230)\/(3\/438). Is 13 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 336.9 + -337. Is 0.415 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -272663, 2 in decreasing order.\nAnswer: 3, 2, -272663","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4, -2*t - 2*g = t - 23. Suppose -5*j - 4*i = -t, -11 + 31 = 5*j + i. Suppose -3*k = j*n - 30, 4*n - 17 = -k - 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**2 + 3*x + 23. Calculate q(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrm when three letters picked without replacement from rrrrrrmrmrrrr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + 1 + sqrt(17))**2 - sqrt(17)) + sqrt(1700) + sqrt(1700) + 3*(sqrt(1700) + (0 + sqrt(1700))**2).\nAnswer: 38*sqrt(17) + 5172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3527, 3490, 3439, 3374?\n\"Answer: -7*s**2 - 16*s + 3550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(2 - (-5)\/((-60)\/44)). Suppose 5*a = -5*k + 180, -f*a - 9 = -8*a. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -31 - (1242 + -1175) - (0 + -14)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -164 + 163. Let p = -1 - 0. Let h = p + 1.2. Which is the closest to -1? (a) h (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, o: 5, q: 1, v: 1}. Give prob of sequence nn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -106679 divided by 4024?\nAnswer: -106679\/4024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 6*k + 7. Let c be s(-5). Suppose -j - c*j = -285. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13311 and 522?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 13 = -o, 3*w - 2*w + 2*o = 9. Suppose -p = -w*p + 68. Suppose -2*j + 39 + p = 0. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*w - 39, 3*w - a - 12 = a. Suppose 8*x - 34 = w*x. Round x to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*t + 288*t - 122*t + 13009 = 4351 for t.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141\/(-90)*(-6156)\/(-192888)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-134)\/(-1541)*828)\/((-8)\/(-6)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*o**4 + 4*o**3\/9 + 278*o**2 - 4*o\/9 = 0. What is o?\nAnswer: -1, 0, 2\/1251, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 + 693\/11. Suppose -s*p + 57*p + 15 = 0. Is 10 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 363495844 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.053442543 - 0.61893.\nAnswer: -0.672372543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(16\/10 + (-1435)\/350). Let w be 0 - (26\/10 + -2). Which is the fourth biggest value? (a) 1\/2 (b) -0.2 (c) w (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 1958, 6547, 15474, 30185, 52126?\nAnswer: 82743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*a**5 - 135*a**4 + 265*a**3 - 185*a**2 + 15*a + 20.\nAnswer: 5*(a - 4)*(a - 1)**3*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -454837 <= -454836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25433278*y**2 + 123721863 wrt y?\nAnswer: 50866556*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -3. Let w(c) = c**2 + 23*c + 80. Suppose 3*v = -5*y - 55, 2*y - 38 = 2*v + 4*y. What is the lowest common multiple of w(v) and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 5 - 1 + 2 - 3)*(-2012*q - 2016*q - 508*q**2 + 4025*q).\nAnswer: -508*q**3 - 1527*q**2 - 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/34 and 33\/102018226?\nAnswer: 1734309842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**3 + 4*s**3 - 53 + s**2 + 49 + 3*s**2 - 8*s. Let v = 4 + -9. Determine x(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30632 and 17808?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -9, 867 in ascending order.\nAnswer: -9, 20, 867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/6)\/b)\/b*b)\/((b\/(b*b**(-4)*b))\/b*b)*b**(-9)*b**(-9) assuming b is positive.\nAnswer: b**(-127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {g: 1, s: 1, z: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-8) + 3\/(-12). Let o = 29 - 22. Sort 4, q, o.\nAnswer: q, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m**3 - 5*m**3 - 21*m + 9*m**3 - 10 + 82 + 47*m**2. Calculate the remainder when f(23) is divided by 16 + 1*(-1 + 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 5, e: 3, q: 1}. What is prob of sequence qe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4*k - 116, -8*c + 6*c + 2*k = -54. Calculate the greatest common divisor of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1650692 is divided by 718?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.21269cm in micrometers?\nAnswer: 762126.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 952*y - 1 - 740*y)*(32 + 39 + 35) to u + h*y and give h.\nAnswer: 22472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2735*u - 1350*u - 1372*u. Let o(a) = a. Determine i(x) - 6*o(x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 50*t**2 - 31*t - 241. What is i(-50)?\nAnswer: 1309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5409750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 220*a - 220*a + a**4 + 12*a**3 - 5*a**4 + 4*a**4 + 0*a**4 + (-a + 10*a - 2*a)*(-3 + 3 + 4*a**3) as c + y*a**3 + m*a + v*a**4 + b*a**2 and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578 is divided by 492?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/14)\/(14\/28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**19*f**(25\/2))\/(f**14\/(f**(1\/9)*f)) assuming f is positive.\nAnswer: f**(335\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60 - 97) + -17 + -1 + -6 - (-11 + 10).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 - 12 = 0. Let l = -40.9 - -6.9. Let k = 38 + l. Sort r, k, -1 in increasing order.\nAnswer: -1, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 1\/10*y**6 + 0*y**5 + 2*y + 0*y**3 + 0 + 1\/112*y**8 + 13*y**2 + 0*y**4 - 2\/35*y**7. Suppose l(t) = 0. What is t?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 3*r + 3. Let a be s(-3). Let n(h) = -1 + 0 + h**2 - a*h**3 + 2 - 2*h**2. Calculate n(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 9 = -0. Let j = p - -2. Let g = -2 + j. Solve -3*z = -g - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + x + 518 = 0, 0*x - 4*x = 0. Let y be d\/42 - (-1)\/(-3). Find the common denominator of 23\/3 and -11 - -11 - (-34)\/y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + z + 2 = -2*z, 4*r + 5*z = 4. Solve -r = -2*y - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5. Let u be (1 - y)\/((-5)\/(-45)). List the prime factors of ((-15)\/u)\/(3\/(-18)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + 0. Let p = f + -0.5. Suppose 3*x - 5*b = -20, 3*x = -0*b - 3*b - 12. What is the nearest to 0.1 in p, x, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.01 (c) -13\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(847) + -1 + sqrt(847)) + -2)**2 - (-2 + sqrt(77)\/(-3*sqrt(11)*2)).\nAnswer: 265*sqrt(7)\/6 + 3391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -542 + 542. Suppose n = -62*v + 47*v + 11055. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y + 23 - 23 - 3*y + y + y + (0 - 1 + 3)*(0*y - 2*y + y) as g + c*y and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 9\/(-1*3). Let w = 25.01 - 23.01. Which is the closest to 0.2? (a) 0.03 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 11 + 11 - 49*b in the form c*b + u and give c.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, -3, 51, 10, 5, 0 in increasing order.\nAnswer: -103, -3, 0, 5, 10, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 994742818?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 2:22 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -38, 3\/14, 5.\nAnswer: -38, 0.2, 3\/14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 22. Let v be y(19). Let h be 1\/v + 3\/(12 + -3). Solve h*n = -5*n + 5*f - 25, -5*f + 9 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1101?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**3 - 6*f**2 - 4*f - 6. Let j be ((-11)\/(-4) + -3)\/(3\/(-24)). Let l(s) = -s + 5 + 0*s + 0 + 5*s**j + 4*s + 3*s**3. Calculate -6*l(x) - 5*v(x).\nAnswer: 2*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/277 and -29\/4986.\nAnswer: 4986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*a - 13 + 2*a - 17*a)*(207*a - 417*a + 470*a) as y*a + c + u*a**2 and give u.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -32754799000 rounded to the nearest 1000000?\nAnswer: -32755000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from {t: 6, m: 3, e: 1, b: 1, x: 6}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -22. Let o be (-2)\/((-2)\/3) - 9. Put n, o, 3 in increasing order.\nAnswer: o, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1539) - (-1 + sqrt(1539)))*4 - (((sqrt(171)*-1)**2 - sqrt(171)) + 5*(sqrt(19) + 0))).\nAnswer: -167 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*z + 6573 + 9559 = 48*z. Suppose -715 = -5*s + 4*l, 0 = s - l - 46 - 96. Which is greater: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49.9 - 50. Let l = 6 + -6.08. Let f = -178\/15 + 56\/5. Sort m, f, l in decreasing order.\nAnswer: l, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14409?\nAnswer: 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 785974 divided by 7\nAnswer: 112282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1120.6 * 0.08.\nAnswer: 89.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*s = -3*d - 126*s + 78, -2*s = -3*d + 72 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583315.29ms in days?\nAnswer: 0.006751334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/3)*m**(-17))\/(m**(-20)*m**(3\/14)))**(8\/5) assuming m is positive.\nAnswer: m**(692\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 4*b - 42. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**3 - 9*h**2 + 16*h. Let g(p) = p**3 + 2*p**2 - 4*p. Let r = -22 - -13. Suppose -13*s + 6 = 32. Calculate r*g(l) + s*c(l).\nAnswer: l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 98 = 2*b, -64*h - 18 - 7 = -63*h - 7*b for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -9, -0.2, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059067988 rounded to 5 decimal places?\nAnswer: 0.05907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 11*t + 14*t + 7*t.\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 71 = -5*d - 22, 4*o + 7675 = -451*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1026 = -356. Is 139 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1118290724 - 1118290665.9503827. Let c = x + -0.0497373. Let z = -58 + c. What is z rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -473 + 7569\/16. Which is the nearest to -1\/4? (a) q (b) 0.2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41426 by 7.\nAnswer: -5918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 1:25 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**2. Let v be d(2). Solve 3*l + l + v = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 7:28 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) - ((-348)\/(-20) + -4). Let f = -26 - a. What is the common denominator of (f\/(-4))\/(27\/(-36)) and 61\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001001 (base 2) to base 9.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**5 + 2*b - 2*b)*(-2 - 3 + 7)*(-361 - 16 - 81).\nAnswer: -916*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j + 11. Suppose 2*f + 2*f - 8 = -4*r, 4*f - 26 = 5*r. Let k = -7 - f. Let h(d) = 3*d + 4. Determine k*h(l) + 4*u(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Suppose 0 = -t*q - 4*q + 4. Solve -4*s + q = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 461 * -13773\nAnswer: -6349353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 24*z - 22*z. Suppose s - 4 = -j - z, j = -2*s + 6. Suppose 49 = 3*i + s*i. What is the highest common divisor of i and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -8, 60, 2, 1 in increasing order.\nAnswer: -8, 0, 1, 2, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22177236 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-5)*(-65)\/13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -1573264, -1, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1998*n + 40015. Give k(19).\nAnswer: 2053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 69589442923+2458\nAnswer: 69589445381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-24))\/((-50)\/(-280)*7)*(-318)\/(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 32, 166 in descending order.\nAnswer: 166, 32, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2096 in 12.6, -2, 0.3, -4\/9?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3 + -2 + sqrt(304))*-2.\nAnswer: -8*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579026 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4, -87, 3 in descending order.\nAnswer: 3, -4, -17, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 449304 divided by -582?\nAnswer: -772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 4 = 2*s - 2*g, 4*s - 29 = -5*g. Put s, 15, -4 in decreasing order.\nAnswer: 15, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 654\/30 + 1\/5. Let g = -5 + t. Suppose 5*v + 25 = 0, -4*p + 3*p + 2*v = -g. Calculate the remainder when 12 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (9 - 27) + 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31996408 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 9*k - 1521. Let w be n(32). Put 4, -2, w, 2, -5 in decreasing order.\nAnswer: 4, 2, -2, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 90384.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(187)*2)\/(sqrt(539)*-1*4 - sqrt(539)).\nAnswer: 4*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from {o: 5, p: 1, w: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67 + 1113*r**2 - 26*r**4 - 3*r**3 + 66*r**4 + 2*r**3 - 67 wrt r?\nAnswer: 960*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -32, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12424 divided by 622?\nAnswer: -6212\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 564 + 470. Let m = -286 - k. Does 47 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 190*l**2 - 192*l**2 - 4*l + 4*l. Let s(r) be the second derivative of -4*r**3\/3 - r. What is s(u(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.774427 + -1.\nAnswer: -42.774427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3382 is divided by 3339.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.044\nAnswer: 0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 919.627ug to grams.\nAnswer: 0.000919627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1245646 by 4.\nAnswer: 622823\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33244, -33247, -33252, -33259, -33268?\nAnswer: -33279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11100010111101 (base 2) to base 4\nAnswer: -3202331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/3)*f)\/(f*f**9))\/(f**(2\/3))**(4\/11))**22 assuming f is positive.\nAnswer: f**(-196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 121?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-1 + 10 + 8 - 38)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7506392?\nAnswer: 2, 919, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(63)\/(sqrt(12)\/sqrt(4)))\/(sqrt(700)*-1*2))**2.\nAnswer: 3\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -11*c**5\/60 + 22*c**3 + 139*c**2. Let l(k) be the first derivative of m(k). Let o(f) = 2*f**2. Calculate l(o(p)).\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 114512?\nAnswer: 114503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*k - 5*k. What is the common denominator of 2 + (-59)\/(-84) + k\/(-21) and 101\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**3)\/s*s)\/(s**(-5)\/s)*((s\/(s*s**(-1))*s)\/s*s)\/(s\/(s**1*s)) assuming s is positive.\nAnswer: s**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640323 (base 11) to base 5.\nAnswer: 230302013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*p + 4*u - 14, 2*p = -u + 10. Let l(j) = p*j - 2*j - 3*j + 6*j. Let t(s) = s**2. What is l(t(h))?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*s + 72, 0*a + s = -3*a + 40. Let b be (((-66)\/a)\/(-11))\/((-2)\/(-16)). Factor b*f + 9 + 4*f - 9 + 4*f**2.\nAnswer: 4*f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/60 - 25*k**4\/8 - 223*k**3\/3 - 58*k**2. Find the first derivative of f(z) wrt z.\nAnswer: 2*z - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-2\/7)))**(-44)*t**5*t\/(t\/(t**(-3)\/t))*t*t assuming t is positive.\nAnswer: t**(-67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 51*j + 719. Let r be u(26). Calculate the greatest common factor of r and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73914*u - 74396*u - 2 + 5 - 2.\nAnswer: -482*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355796190.\nAnswer: 2, 3, 5, 43, 89, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 346828949 to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**(-1\/7)*((k*k*k\/k**(1\/4))\/k)\/k**(3\/2) assuming k is positive.\nAnswer: k**(25\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 22.6, 2\/3, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s**2 + 13*s**2 - 25*s**2 - 2*s**3 - 2*s**4 - 2*s + 8*s**2 + 4*s**2 - 65 as l*s**3 + n*s**2 + w*s + i + k*s**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 - -53. Let z = d + 36. What is the third biggest value in -0.2, 0.4, 2, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158.75 - 138. Let u = c + -21.6536. Let g = 0.9 + u. What is g rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*n = -8*m + 12 - 6, 32*m - 9*m + 3*n - 94 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 13) in base 9?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.40026 - 0.00026. Which is the nearest to 181? (a) 5\/3 (b) z (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + 1022\/56. Calculate the remainder when (-3416)\/(-72) + (-8)\/w is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, 29, 80, 151, 242?\n\"Answer: 10*s**2 + s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 192*o = -197*o + 12, -4*r - 3*o + 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3892565 divided by 5\nAnswer: -778513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -427600, -427603, -427606, -427609?\n\"Answer: -3*v - 427597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 10. Let x(d) be the first derivative of -d**3\/3 + 3*d**2 - 5*d - 14. Let w be x(6). Calculate g(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/4 of a microgram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41500462 by 133442.\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/87986 and -103\/33374?\nAnswer: 967846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -125336 - 5?\nAnswer: -125344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 109599*t**2 + 876936*t + 1753968.\nAnswer: -3*(t - 36541)*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let l = -39 + 34. Let b(j) = -j. Let m(f) = l*b(f) + 6*q(f). Let r(p) be the first derivative of -2*p**2 + 1. Calculate r(m(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/18*6*1314882\/3. Suppose -3*l + 2*l + 4*c - 48692 = 0, c - u = 3*l. Round l to the nearest one thousand.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -9 (b) 0.2 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.3206 and -4.\nAnswer: 9.2824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 24594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 5*z + 2. Let f(v) = 6*v**2 + 24*v - 11. Let b(p) = -2*f(p) - 11*r(p). Let t be b(3). Suppose 358 = 5*w - t. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8945188 divided by -1169?\nAnswer: 7652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/28 and -7\/7020.\nAnswer: 49140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -64, -60, -56, -52, -48?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 3*n - 1. Let f be x(3). Let c(j) = -j + 15. Let d be c(f). Solve 22 - 5 = -3*g - 5*w, -3*w = 5*g + d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -93*f**5\/5 - f**4\/2 + f**3\/3 + 35*f**2\/2 + 305. What is the third derivative of v(h) wrt h?\nAnswer: -2232*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 2, c: 1}. What is prob of sequence lh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 319*m + 22463. Give i(-214).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 - 4*z + 3. Let r be c(1). Put 11, 4, r in decreasing order.\nAnswer: 11, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 + (-9 - -22 - -2) + (10 - -3).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(-1)*(-5)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 139, -3.\nAnswer: -3, 1\/3, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1371*-0.3\nAnswer: -411.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(6\/5)*p**(-2\/5)*p assuming p is positive.\nAnswer: p**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 3*g**2 + g. Let b be i(3). Suppose 91 = 4*m - 69. Let p = m - 27. Solve -b = 5*j - p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**3\/12 + 9*v**2 - 324*v + 76. Let f(p) = 0. Calculate p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*d + y, -5*d - 3*y + 78 = 17. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0312 - 0.0502. Let a = s + 10.879. What is a rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423901051.\nAnswer: 7, 60557293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*y + 1. Let z(f) be the third derivative of f**6\/12 + f**5\/60 - f**4\/8 - f**3\/2 - 6*f**2. Is z(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13754040.47 rounded to the nearest 100000?\nAnswer: -13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v + 12. Let d be 80\/(-36) + (-4)\/(-18). Let u be g(d). Solve 0 = -4*s - u + 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930385?\nAnswer: 5, 73, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -679\/3? (a) -65 (b) -0.2 (c) 5\/3 (d) 5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5*t - 2\/5*t**2 + 0.\nAnswer: -2*t*(t + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 52 + 32 + 45 = b, -2*b = -4*z + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2503*r + 2507*r - 9993*r + 2491*r + 2511*r.\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (sqrt(288)*1*-4 - (((sqrt(288) - (-3 + sqrt(288)))*5 - sqrt(288)) + sqrt(288))) + 4).\nAnswer: -48*sqrt(2) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 8. Let p be g(-8). Let z be (-70 - p)*(-180)\/50. Let s = z - 172. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 18*k + 9. Calculate b(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -29*q**7\/105 + q**6\/120 + 21*q**3 + 136*q**2 + 2. What is the derivative of o(h) wrt h?\nAnswer: -232*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -213041359*p**3 + 298712981?\nAnswer: -639124077*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(1*(-1)\/(-2)). Suppose 6*a + 15 = j*r + a, 15 = 3*r - 5*a. Let u = 34 - 848\/25. Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 71, 139, 207, 275, 343, 411?\n\"Answer: 68*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:56 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/15 and 77\/216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15077721 to the power of 1\/2, to the nearest integer?\nAnswer: 3883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0*z - 5*y - 79, 0 = -5*z + 2*y + 418. Let i be (-1)\/4 + z\/16. What is the second derivative of -7*d + 5*d + 3*d**i - 4*d**5 wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 83.65056 decades?\nAnswer: 0.8365056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 10 - 2*w**2 + 0*w**2 + 4.\nAnswer: w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, -3\/10, 3.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16974492 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1310.56407 nanoseconds to days.\nAnswer: 0.000000000015168565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 323137415, 323137411, 323137407, 323137403, 323137399?\n\"Answer: -4*h + 323137419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1573) + 2 + sqrt(1573) - sqrt(91)\/(sqrt(7)*-4)).\nAnswer: -89*sqrt(13)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 700440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 11517?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - z**2 - z + 6615. Let o be x(0). Let i = 13615 - o. What is i rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from goggo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*t - 3*s + 64, -t + 2*s = -32. Solve -4*y - 4*f + t = 0, -2*f = 4*y + y - 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-1)))**(-42))**(-32)*((k**(2\/13))**(-14))**6 assuming k is positive.\nAnswer: k**(-17640\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 245682?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1068 - 171*h - 160*h - 165*h + 488*h.\nAnswer: -8*h - 1068","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 668556.\nAnswer: 668556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 98\/(-21) + (-4)\/3 - (5 - 8). Let x be (-7)\/2 - 2\/4. Is 12 a factor of ((-180)\/(-5))\/(d\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.059 and 0.0572.\nAnswer: 0.1162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11647 take away -0.1402?\nAnswer: 11647.1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13530609?\nAnswer: 3, 1503401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/13 + 22076*k**3\/13 - 4711424*k**2 + 1817640960*k\/13 = 0. Calculate k.\nAnswer: 0, 30, 5504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-4))\/(3 + 12285\/(-4088)). Suppose -29298 = -28*o + v. List the prime factors of o.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 - ((0 - 6) + 9 + -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t - 84 = -10*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + -4 + -2 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 21*y**2. Let r(n) = n**2. Let b(u) = 6*r(u) - s(u). Let q(z) = -4*z**2. Give 2*b(h) - 9*q(h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -adaee1 (base 16) to base 5.\nAnswer: -10403214442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 38. Let p be j + 10 - (23 + 2). Let c = p - -36. What is the greatest common divisor of c and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -11. Let i(p) be the first derivative of p**2 - 2*p + 1. What are the prime factors of i(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 35. Let p be (-10)\/(-4)*h\/15. Suppose z = -2*d - p*z + 142, -4*d + 316 = -2*z. Is 31 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = m + p, 8*p + 77 = 840*m - 837*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 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: Let n = -60 + 767. List the prime factors of n.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -882530*s + 3*s**2 + 882530*s. Let w(f) = -f + 7. Let t be w(7). Let v(q) = t*q - q + 0*q. What is j(v(d))?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from kklklk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**5 - 2*n**5 - 13*n**5 + (-n**4 + n - n)*(0*n + 0*n + n).\nAnswer: -21*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 1. Let n be f(-3). Let t(s) = -1667*s + 3353. Let j be t(2). What is the closest to n in j, -0.3, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-80) - (-5 + 408\/80).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g - 21*g + 16*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/11, 0.24, -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*r + 63*r + 1078 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*t - 468*t - 5*l = -29, -3*l = 2*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 19*t**4 + 3*t**3 + 22*t**2 - 3*t. Let v(y) = 20*y**4 + 4*y**3 + 23*y**2 - 4*y. Let a(p) = -4*i(p) + 3*v(p). Find the third derivative of a(l) wrt l.\nAnswer: -384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 6*i - 308. Let w = 40 - i. Let y(k) = -2*k + 7. Let l(b) = b - 1. Calculate w*l(o) - y(o).\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 plus 152.4?\nAnswer: 152.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 13*v**2 - 18002*v + 4*v**3 + 17758*v + 43*v**2 - 680 = 0.\nAnswer: -17, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*r - 54*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 324*a - 4719.\nAnswer: 3*(a - 121)*(a + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15850 or 15848?\nAnswer: 15848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (2 + 14 + -8) - (-4 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1517057 - 904686. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9064.205 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 13*w + 4. Let j be m(20). Suppose -5*b + 502 = 4*z, -z + j = -3*b + 10. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27500763 + 7?\nAnswer: 27500772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 + 234108 - 234108.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -575\/1418 - 67\/709. Let o be ((-10)\/25)\/((-14)\/(-20)). Which is the closest to o? (a) -3\/2 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6156 + 2*a + 5032 + 17140.\nAnswer: 2*a + 28328","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -3*q**5\/20 + 821*q**4\/4 - 84460*q**3 + 252150*q**2 + 13754*q. Find b, given that c(b) = 0.\nAnswer: 1, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than -279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.508 to 1 decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5771850293 to the nearest integer?\nAnswer: 1794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*m - 303, -2*y = -2*m + y + 201. Is ((-24)\/m)\/(1\/(-8)) + 388 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -165, -163, -161, -159?\n\"Answer: 2*f - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*c + 50*c + 35*c + (2*c - 7*c + c)*(3 + 2 + 5).\nAnswer: 55*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*c = 426, -2*c - 144 = 2*b + 28. What is the tens digit of 9\/12 - b\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -37*g**2. Let j(l) = 2948002*l**2. Calculate y(j(k)).\nAnswer: -321556484304148*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078)*-1 + (2*sqrt(154) + sqrt(154))\/sqrt(7))\/(sqrt(88)\/sqrt(32) + sqrt(11) + (sqrt(11) - (sqrt(11) - (sqrt(66)\/sqrt(3))\/sqrt(2)) - sqrt(11))).\nAnswer: -8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*s - 1143 + 3463. Let y be (-1)\/(4 + s\/35). Solve -4*f - 5 = -3*t - 0, f + 2*t - y = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2865, 5727, 8589, 11451?\n\"Answer: 2862*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 0.7, -1\/7, -0.4, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76261, -76292, -76293, -76258, -76181, -76056?\nAnswer: -75877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 77. What is the lowest common multiple of j and 15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*2 + 1 + 0. Suppose -x + 3*g = -l, 4*g = 6*g. What is the remainder when x is divided by 21\/4 + 4\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 12*s**2 - 14*s - 17. Give a(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 93\/5624594?\nAnswer: 93\/5624594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 3*n**2 - 2*n**2)*(0 + 0 - n)*(68 - 88 + 25).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2849772478?\nAnswer: 2, 7, 29079311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*c + 6676 = 5983 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -43*l + 6. Let b(a) = -2*a + 3 + 0 - 3 + 1. Let r(w) = -6*b(w) + j(w). Let t(v) = 13*v. Determine t(r(h)).\nAnswer: -403*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 247*u + 2 + 11*u - 2 to y + z*u and give z.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 20 + g**2 - 87*g + 165*g - 83*g. Let v(m) = m + 6. Calculate the remainder when b(-5) is divided by v(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349152 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 7. Let l be g(5). What is the greatest common factor of 22 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -60*q**2 - 700*q - 1440. Calculate i(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14789 - -20770. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.6279 minutes in hours?\nAnswer: 5.660465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 - 3702*l**2 - 6*l**3 + 3702*l**2.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -4*k**3\/3 - 3*k**2\/2 + k. Let y(c) = 8*c + 4. Suppose -m = 2*f - 3, 15*f - 18*f - 6 = -2*m. Give m*y(l) + 4*i(l).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*u + 26, 2*u - 4*u - 8 = -l. Solve 0 = -l*q - 12 - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1681743882.\nAnswer: 2, 3, 7, 13, 3080117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (202\/5050)\/((-6)\/40)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 5*i - 2. Give k(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*g + 5*c + 5 = -44*g, -3*g - 9*c - 21 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 19 = y, 0 = -c + 3*y - 0*y - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(((-252)\/(-12))\/(-378))\/(1\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27, -2\/15, 0, -12, -6\/7, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - -10 - 15) + (1 - 20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 12848 = -3*s, 4313 - 41 = s + 4*i. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121\/22*6\/(-12)*2\/(-11).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2327628 to the power of 1\/2, to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2854*n + 573*n - 1111*n)*(2*n - 6*n + 3*n)*(3 - 12 + 2) to o*n**2 + z + a*n and give o.\nAnswer: -23744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1 + 3*y - 3 - 2*y + 0*y**2 + y**2. Let h be v(-3). Suppose -h*r + 223 = -237. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 705, 898, 971, 924, 757, 470?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.3, -2\/393, -0.037, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - (-45)\/(-9) - (-169 + -1). Calculate the highest common factor of j and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((128\/48)\/2)\/((-2)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + j)*(-j + 4*j + 2*j)*((-3 + 1 + 1)*(-1 + 1 - 1) + 1 - 4 + 1 + 3 - 2 - 2 - 5 + 5 - 13 + (5 + 0 - 4)*(-6 + 3 + 5) + 4 - 2 - 3).\nAnswer: -70*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2555 + 2556. Let p = -0.13 - 8.87. What is the nearest to p in c, -3\/5, 0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -954 - -972. Sort 1, z, -2 in descending order.\nAnswer: z, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 1, 469\/13 in increasing order.\nAnswer: 4\/9, 1, 469\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2362, -3, 5.\nAnswer: -2362, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -303957*l**4 - 816390?\nAnswer: -1215828*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 - -0.58. Let q = 0.6 - w. Let v = 861 - 861. What is the closest to v in q, 0.5, -2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1231\/79 or -16?\nAnswer: -1231\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (-1*sqrt(117) - sqrt(13))**2.\nAnswer: 4*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, -3, 251, 43?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 7*b - 3. Let x be m(3). Let v(a) = -a**2 + 11*a - 3. What is v(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -4*f - 392, 0 = -3*v - 2*f + 55 - 196 - 55 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 5*m + 55 = 0. Let t(h) = -2*h - 7. Let u(l) = l + 4. Let d be 8\/(-44) + (-93)\/33. Give d*t(c) + m*u(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 + 0.5. Let t = 70 + -73.1. Let f = t - 0.9. Sort -2\/9, x, f in descending order.\nAnswer: x, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*1 + -4 - (-2 + (sqrt(133)*1)\/sqrt(7)))**2.\nAnswer: -44*sqrt(19) + 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*a - 2292, 3*q + 1709 = 3*a - 2*q. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 25, -3*v - 2*i + 0*i = 26. Let o be 14\/(2002\/39)*(1 - (2 - -1)). Suppose -9 = 2*r - 5. Which is the nearest to v? (a) r (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -18*b**3 - 5*b**2 - 3. Let t(q) be the second derivative of 3*q**5\/10 + q**4\/6 + q**2\/2 - 19*q. Let i(x) = -11*t(x) - 4*u(x). What is i(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6100?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -40 - (170 + -123)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 2 + 0*z + 2*z**3 + 2*z**2 - 6\/5*z**5 - 1\/3*z**6 - 1\/2*z**4. Solve q(c) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.3, 7, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 231.6 + -229.126. Let o = -2.5 + a. What is o rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -2, 94\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-10)*(-416)\/(-156)*5. Let f be (3\/9)\/((-1)\/(-39)). Suppose b = 4*q, f = 2*w + 5*q - 62. Is 35 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from yeeidba?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21\/73691 + -12026123\/50846790. Calculate the common denominator of -85\/1518 and j.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-8)*(-104)\/(-42) and 217*650\/45864 - (-2)\/7.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, e: 2, w: 1, p: 1, a: 2}. Give prob of sequence meme.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 5*z - 16. Suppose 0 = -4*t - 4, -272 = -12*p + 8*p - 4*t. What is the remainder when p is divided by w(11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**3 + 0*s**3 + 2*s**3 + (-4 + 4 + 2)*(5*s**3 - 4*s**3 + 0*s**3).\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*j + 22, -5*j = i + 23. Suppose 4*n - 5*n + 3 = 2*g, 0 = -4*n + i*g + 32. Solve 5*h + 3 = -4*w - 10, -3*h - 2*w = n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 11 = v. Suppose 4*f + 12 = v*f. Let l(t) = t - 4*t**2 + 4 - 1 + 0*t + f*t**2. What is l(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3\/4 + 207*k**2 - 10933*k\/4 = 0. Calculate k.\nAnswer: -841, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29, -65, -111, -173, -257, -369, -515?\n\"Answer: -o**3 + o**2 - 32*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 744 - 282. Let x = a + -248. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34778295 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**4 + 2*r**2 - 1 + 9*r - r**3 - 14*r - 5*r**4 in the form f*r**4 + m*r**3 + c + d*r**2 + v*r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13056, -13059, -13060, -13059, -13056, -13051?\nAnswer: -13044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 6, s: 3, m: 11}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 13*a**2 + a + 14. Let k be b(-13). Let w(d) = -321*d + 1. Let l be w(k). What is the tens digit of ((-21)\/5 + 3)*l\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12*(-1)\/((-9)\/3). Suppose -c = -0*w - w. Solve -5*a - 26 = w*r, -4*a - 4 = 3*r - 4*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 30 = -5*y, 4*d + 3*y + 22 = 2*d. Calculate the remainder when 3\/(-2)*50\/(-15) is divided by 95\/76 - 6\/d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -13*i**3 - 2*i**2 - 9. Let a(y) = 6*y**3 + y**2 + 5. Let h(s) = 11*a(s) + 6*o(s). Give h(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5 + 280*a**4 + 10554*a**3 + 49580*a**2 - 143648*a = 0.\nAnswer: -67, -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w + 9. Let b be l(-9). Suppose -r + b = 2*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.045 (b) 0 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from fpppfppfpppfpppf.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p + 1. Determine l(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 372714 and 36774448.\nAnswer: 110323344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 7)*(-4 + 0 + 5)*(5169 - 235*r - 5169) to v + d*r and give d.\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(132\/11))\/((-1)\/4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 36*x**2 + 14*x - 12. Let v(w) = -35*w**2 - 15*w + 10. Let p(h) = 6*l(h) + 7*v(h). What is the second derivative of p(c) wrt c?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z = 27*z - 15. Solve w + 2 = 0, k + 0*k = -w - z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 1, u: 1, q: 1, r: 1}. Give prob of picking 1 q and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14593 is divided by 292?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 1:15 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1020 = -11*z. Suppose 0 = 3*k + 2*y - 2300, -5*y - 1459 - z = -2*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -4*((sqrt(77) - (sqrt(77) + 3*sqrt(77) + sqrt(77))) + sqrt(77)))*6)\/(-2*sqrt(275) - sqrt(99)\/sqrt(36)).\nAnswer: -52*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.5, -1.86, -19?\nAnswer: -1.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - (1 - (-8 - (4 - 17))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*v + 9, -4*s + 2*v = -2*v - 20. What is the third derivative of -s*l**2 - 3*l**2 + 0*l**2 + 6*l**2 - 3*l**3 wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*d + 3*i, -3*d + 0*i = i - 24. Let l = 117 + -109. Calculate the smallest common multiple of l and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -2*u + 8*b + 2*b - 73 + 199, 4*b - 4 = -0*b for u.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 9:19 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/98*((-385)\/30)\/(-11)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 64 = 5*p. Let k = p - 23. What is the greatest common factor of k and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7306 = -62*u + 2036. What is the tens digit of (13 - u) + (-2*1 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a - 11*a + 11*a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20221245 (base 6) to base 15.\nAnswer: -b6558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 12*t + 22. Let c be d(-15). Let b = c - -23. Is -1 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05918, -0.15, -1.3.\nAnswer: -1.3, -0.15, -0.05918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2770 = g. Suppose 3*w = g - 104. Let p be w\/1 + 1 + -1. Calculate the highest common divisor of 60 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3301 + 5399. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -20*z + 3. Let w be j(-1). Suppose -w*u = -4*b - 27*u + 104, -2*u - 64 = -2*b. Let k = -25 - -30. Calculate the remainder when b is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1132 + -4?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435260 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3858984 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 12:18 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2261 is divided by 2225.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*y + 345. What are the prime factors of y?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 46, -12, 3.\nAnswer: -12, -4, 1, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6571?\nAnswer: 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14033008.\nAnswer: 2, 11, 71, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 + -58. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/13, -2\/3, 20\/3, 93479?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 6, l: 11}. Give prob of picking 2 l and 1 t.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 100*m + 100*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**1*w*w)*(w**(-15)*w)\/w)**26\/(((w\/((w\/(w\/w**(-1\/8)))\/w))\/w)\/w*w*w*w**(-2\/15)*(w\/w**1)**(9\/2)) assuming w is positive.\nAnswer: w**(-56399\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 284 + -278. Suppose -4*p - 2*b + 26 = -d*p, -3*p - 5*b = 63. What is the common denominator of 56\/5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 - 60 - 1836*j to the form q + u*j and give u.\nAnswer: -1836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -18*y - 2. Sort -5, y, 5, 4 in decreasing order.\nAnswer: 5, 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67746643 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a - 43. Let r be x(-9). Let f be (38\/(-5))\/((-1)\/5). Suppose -r*n + 80 = -j, -2*n + f + 50 = -3*j. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40087897?\nAnswer: 40087897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h + h + 2*h**2 + 10*h in the form n*h**2 + j*h + m and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008131036 rounded to 7 decimal places?\nAnswer: -0.0000813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*m + 11508 = -507*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 62 + 102. Let v be 29 + (l - (6 + -10)). What is the greatest common factor of v and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**19\/w**16)**(-7\/12))**(2\/97) assuming w is positive.\nAnswer: w**(-7\/194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) -74 (c) -0.8 (d) 0.3 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001462 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 8:49 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000220335 to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1410 and 79\/1866?\nAnswer: 438510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ttoootootooottot.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = y - 3, 0 = q + 7*y - 10*y - 19. Solve j = -j + q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.883193 * 0.01.\nAnswer: 0.16883193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1446 - 1449. What is the second biggest value in -71, 1\/2, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*t = -46, 3*t + 6 = 5*q - 139. What is the remainder when q is divided by (13\/(-3) - -2)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(2736) - (sqrt(2736) + sqrt(2736) + 3)**2*5 - (sqrt(2736) - (sqrt(2736) + (sqrt(2736) - (sqrt(2736) - -3*sqrt(2736)*3))))**2) + -4).\nAnswer: -276383 - 708*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32048109?\nAnswer: 3, 557, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/9*102\/1768. Sort x, -2.2, -1\/3, -1 in decreasing order.\nAnswer: x, -1\/3, -1, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-13364)\/6)\/((-3)\/9). Let a = -53391\/8 + i. Let d = -92663\/217 - -5997\/14. What is the common denominator of a and d?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*y = -97*y + 936. Let p = y + -287. Are p and -132 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 1110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -5*d + 883000. Round d to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3487 and -178197103.\nAnswer: -178193616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*i - 3, -4*i + i - 1 = -z. Is (2 + 1 - -8)\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.7 + -2.5. Let x = -2.20592 + m. Round x to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/6060 and 61\/35350.\nAnswer: 212100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -55\/6 (c) -2484 (d) 2\/13 (e) 3\/8 (f) 0.3 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167687\/5 or 33536?\nAnswer: 33536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9523, -0.6, -1\/8 in descending order.\nAnswer: 0.9523, -1\/8, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-10))\/(6\/15). Let l = 3 + n. Let i = 225016 - 225005. Solve 9 = l*j - i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 3*d**3 + 3*d**2 - d**2 + 2*d**3 - 4. Let k be x(3). Round k to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 182620*a**2 - 2374326*a - 6575256.\nAnswer: 2*(a - 91323)*(a + 4)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109 - 329\/3. What is the nearest to 0.1 in 0.068, -0.5, j?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 0, 4\/3, 1\/2, -5\/7, -498?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**5\/10 + q**4\/2 + 5*q**3\/6 + q**2\/2 - 14. Factor m(g).\nAnswer: g*(g + 1)**2*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3 = h, 4*t - t = -4*h + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-408)\/88 + 5 - 10444\/286. Which is smaller: i or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.4, -2, 2\/61, 5, 0.8 in increasing order.\nAnswer: -12.4, -2, 2\/61, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/(3 - 3\/3) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22846440 and 2040.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 406.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522560*h + 9*h**3 - 522560*h.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b**3 + 202*b**2 - 479*b - 1098. Calculate j(26).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/27 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u*(u**5\/u)\/u)\/u)\/u))**(12\/5) assuming u is positive.\nAnswer: u**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 33994.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 206 (b) 4 (c) 257 (d) -4\/5 (e) -27\/17 (f) -3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4 + 3*r**2 - 15*r - 4*r**2 + 0*r**2. Calculate the remainder when q(-14) is divided by (-4)\/(-16) - 23\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 9*v + 8345884 = 0. Let k = v + 6028500. Let a = 2602558 - k. Round a to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*a)**(20\/3)\/(a**(-1))**(1\/20) assuming a is positive.\nAnswer: a**(-397\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22670 - 62?\nAnswer: -22752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(6\/(-4)*1). Find the third derivative of 2*t**6 - t**2 + 0*t**2 + 0*t**6 + 0*t**m wrt t.\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -597*b - 614*b + 1210*b - 2156*b**2 as g + l*b**2 + s*b and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/71 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693762694 to the power of 1\/3, to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027515515 rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*h - 41 - 27 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58597 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3687733 is divided by 63?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3541 times -0.2?\nAnswer: 708.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((102 - 102) + (-24)\/(-5))*11\/44.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*h**2 - 5*h**2 - 3*h + 3*h**3 - 2*h**4 - 9*h**2 - 7 + 6 - 15*h**2 to l*h**2 + i + q*h**4 + r*h**3 + o*h and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -26. Suppose -19*h + 408 = 15*h. Calculate the highest common divisor of h and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4457 - 3?\nAnswer: -4462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/96 (b) -1\/5 (c) 46 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 + 10*r. Let d(a) = a**2 + 3*a. Give 11*d(q) - 4*h(q).\nAnswer: -q**2 - 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/7 + 2089*y**2\/7 - 4171*y\/7 - 6261\/7.\nAnswer: -(y - 2087)*(y - 3)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 100581.\nAnswer: 804648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzlq. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245416 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -575699, -575695, -575691, -575687?\nAnswer: -575683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80891 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 63693, 1\/3, 3, 1\/6 in descending order.\nAnswer: 63693, 3, 1\/3, 1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 979986.3 litres?\nAnswer: 979986300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:16 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.818 millilitres in litres?\nAnswer: 0.260818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558 = -84*b + 22*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 207093891949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*z = -6, -4*h = -5*z - 2 - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2338 + 2338.1. What is the fifth smallest value in -3\/7, -0.2, 3, d, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18437 and 34189.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/(153\/(-24)) - 1*6\/(-18). Let s(t) be the second derivative of 7*t**2 - 20\/3*t**u + 0 + 24*t. Differentiate s(f) with respect to f.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -673, -670, -667, -664?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + i + 1. Let o(w) = -12*w**2 - 15*w - 15. Suppose -7*h + 3*h + 95 = 5*c, -100 = -5*c - 5*h. What is c*m(l) + o(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*r + 132*r = 5*t + 10, 4*t - 49 = -9*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 833 and 357.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195626?\nAnswer: 2, 97813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g)\/g**(-8\/7)*(g\/(g**(1\/2)\/g))\/g**6 assuming g is positive.\nAnswer: g**(-75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-20) - 4781\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 53*h + 15. Calculate j(4).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -65, 1, -15, -2 in increasing order.\nAnswer: -65, -21, -15, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 2. Let q = 5 - 3. Suppose 0 = 5*u - r + 7, 3*u + r - q*r + 3 = 0. Calculate x(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -19*j**2. Let w(v) be the second derivative of -11\/12*v**4 + 0*v**2 + 0*v**3 + 2*v + 53. Determine w(b(t)).\nAnswer: -3971*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.2, -0.4, -3\/4, 159, -10, 2\/19, 2.9?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1016*g = 4*i - 1014*g + 18, 0 = -5*g + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 - 7*v**2 + 4*v + 3. Let n be t(4). Let a be (-4)\/(-7)*n\/10. Put -0.5, 1, a in ascending order.\nAnswer: -0.5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -729*w**5 - 94932*w**4 + 74619*w**3 + 44598*w**2 - 26700*w + 3144 = 0?\nAnswer: -131, -2\/3, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 24*q + 594. Determine l(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62321 (base 9) in base 16?\nAnswer: a07e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/1404)\/(6\/(-8)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4791 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.990236*-54.\nAnswer: -107.472744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-63)\/(-54)*(-15)\/4 and 79\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -13\/4443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + n + 5. Let u be ((-28)\/21)\/((-16)\/36). What is the remainder when 83 is divided by y(u)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2250155.\nAnswer: 5, 37, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1649295 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 35 = 2*q - a, 0 = -3*q + 5*a + 43. Suppose -49*g = -54*g + 45. Calculate the remainder when q is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 26 = 4*u + j, 15 = -3*j. Suppose 0 = -4*i + 20, 3*i - 112 = -u*t - 41. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 - x**5 + 5*x**5 + (-3 + 5 - 3)*(4*x**5 - 6*x**5 + 0*x**5) - 2*x**5 - x**5 - x**5 + (x**5 - 3*x**5 - 5*x**5)*(-1 + 4 - 1).\nAnswer: -14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 10*w - 12. Let m be j(9). Let b = 38 + m. Suppose b*x = 15*x + 1166. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66725 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120213132103 - -1?\nAnswer: -120213132102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggglglg. Give prob of sequence ll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-4 + 2)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o + 6*o + 845. Let j = 174 - o. Let g be -2 - (0 + -15) - -1. Sort -2, g, j.\nAnswer: -2, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223658 divided by -1976?\nAnswer: -111829\/988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g + 10. Suppose -9 - 6 = 3*u. Let j be n(u). Suppose -2*c + j = 4*a, -2*a + 2 = -0. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 1}. What is prob of sequence vvq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 53 - 35. Suppose 3*j - v*c = -6*c - 498, 0 = -j - 4*c - 169. Is -166 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 5. Suppose h = 2*z - 2 - 6. Suppose -2*r - z = 2*r. Do r and 0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15018181 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53332 - 51432 = -50*g for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22104?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/(-27280)*-48)\/(5\/75)?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -0.2 (b) 5 (c) -0.178\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 26*o - 176. Give q(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 24540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10080 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 38 and 1.21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(60)\/(sqrt(30)\/sqrt(3))) + -2 + 3*(sqrt(200) + -1 + 1))**2*1.\nAnswer: -124*sqrt(2) + 1926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppggggg. Give prob of sequence pggg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 14 = w, 2*w = -19*w - 3*c - 36 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5*k + 6)*(3 - 1 - 4)*(-5 + 2 + 1)*(-1 + 3 - 3) + (15 - 2*k - 15)*(-2 - 8 + 24).\nAnswer: -48*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.043 + -0.043. What is the fourth smallest value in 0, -5\/6, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*b - 2*b = 108, -a = 2*b - 96. Suppose 2*z - a = -z. 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: Let i(l) = -11*l**2 + 3*l - 2. Let d(z) = -22*z**2 + 7*z - 5. Let u(f) = -2*d(f) + 5*i(f). What is u(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 101*a - 47*a - 1 - 74*a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23128 + 23131 - 46259 - 34614*t**2)*(-t**2 + 2*t - 2*t).\nAnswer: 34614*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 10*k - 12. Let u be f(8). Let w(x) = 3*x + 3. Calculate the remainder when 28 is divided by w(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121202121211 (base 3) in base 12?\nAnswer: 13ab4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 105 = -5*c, -7*t + 8*t = -5*c + 93. Let f(v) = -3*v**2 + 57*v - 17. Calculate the remainder when 73 is divided by f(c).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/117 - (-40)\/(-78))*3. Let f be (5\/950)\/(-2*c\/10). Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxrgrrzpx. Give prob of sequence zr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 4. Let y = 4 + -7. Let x(r) = -15*r - 4. Calculate the remainder when x(y) is divided by l(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(sqrt(11) + sqrt(176)) - 6*sqrt(11)*-1) + (-4*2*sqrt(11) + sqrt(11) + -1 + -3 + sqrt(11))*-1.\nAnswer: -90*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + 10 - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724832823?\nAnswer: 3, 11, 13, 53, 71, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 44\/7 (b) -2 (c) 0.07 (d) -0.199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114 is divided by 66?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24703731 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 75 = 5*p - y, -2*p + 8 = -4*y. Calculate the lowest common multiple of p and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.02177 - -0.02177. Which is the nearest to -2? (a) 42 (b) 3 (c) -2 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(4\/17))\/i)\/((i**(-3)*i)\/i)*(i**(-1\/3)*i)\/((i*i**(-3\/4)*i)\/i))**(2\/117) assuming i is positive.\nAnswer: i**(649\/11934)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + l + (-2 + 4 + 8)*(13 - 13 - 12*l).\nAnswer: -119*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/629 and -49\/10.\nAnswer: 6290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgaqhgh. Give prob of sequence gch.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 51*v - 124*v - 52*v - 8400 = 0 for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 353*o + 9*o**2 - 2*o**3 - 356*o + 10*o**2 to the form f*o**3 + v*o + w*o**2 + a and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 18829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27675962, 55351921, 83027878, 110703833?\n\"Answer: -s**2 + 27675962*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/3*38\/(-456)*(-162)\/(-9)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 4*p + 3*d - 30, 12 = 4*p + 4*d. Suppose -2*u + p*o + 2688 + 1135 = 0, 0 = -3*u + o + 5702. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -571, 0 in decreasing order.\nAnswer: 6, 0, -571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2419*g - 8643 = -1298*g - 1322*g for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r - 5*r)*(-65*r**3 - 70581*r + 70581*r).\nAnswer: 520*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -761\/8 - -5651\/56. Find the common denominator of w and -77\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-1 - (6 - 2)). Let r(j) = 5*j**2 + 9*j - 6. Let a(l) = l**2 + l - 1. What is w*r(m) + 6*a(m)?\nAnswer: m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 809 = 161*o + 157*o + 446 - 4089 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239052*o - 239114*o + 1302 = 0 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5753*h**3 + 5387*h**3 - 2939*h + 815*h - 2*h**4 wrt h.\nAnswer: -24*h**2 - 2196*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (10 - (28 - 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2*r - 2*r)*(5*r - r - 3*r)*(-4*r + 4*r - 5*r).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4120834 is divided by 674.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**5\/30 - 3*t**3 - 100*t. Let x(p) be the second derivative of h(p). Let c(y) = y**2 + 3*y - 2*y - y. What is c(x(f))?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -42*r - 2. What is q(1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 + 209)\/6)\/((-368)\/(-96)*(-4)\/(-23)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7641102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -2. Let b = 2 - 0. Suppose -f*u - b*r - 1 = -8, -1 = -5*u + 2*r. Solve 0 = -4*p - u - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92404 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11922689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*1*818\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 5, -4, -1\/6, -4\/15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p. Suppose 5*n - 7 - 13 = p. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1165372 at least as big as -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218.459241 microseconds to weeks.\nAnswer: 0.0000000003612090625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 3*x + 4.\nAnswer: -(x - 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7786231448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2\/51 (c) -97 (d) 3 (e) -0.2 (f) -238\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (276\/(-184))\/(6\/(-48)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -2 + 0)\/((-243)\/(-648)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 15*u**2 + 4*u + 323. Let n be t(-16). Solve -n*s - c - 2 = 8, -6 = -3*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/15)\/1 + (-10206)\/(-11745)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-5))\/((-1176)\/20))\/(24\/(-9))?\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 179844 divided by 1\nAnswer: 179844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/8 and -22\/35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 351, 8522 in increasing order.\nAnswer: 0, 351, 8522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1, 5157, -2, -6 in ascending order.\nAnswer: -6, -2, -1, 2, 5, 5157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 73*k**4\/24 + 29*k**3\/3 - 42*k**2. Let l be x(-8). What is l rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmk when three letters picked without replacement from kmmmmkpmmkkmkk.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) + -22 + 855\/38\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (4 + sqrt(684) + sqrt(684)*5)**2)*1.\nAnswer: 288*sqrt(19) + 24645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - -73. Solve 12 = -2*a + r, -a + 6*a + m*r = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3210900 rounded to the nearest ten thousand?\nAnswer: 3210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (-57 - (-34 - -5))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**2 - 2*z**3 + 2*z**3 - 5 - z**3. Let x be i(-4). What are the prime factors of ((-135)\/(-6))\/x*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(6\/(-35) - 0). Let p = 0.48 + 0.02. Let y = 0 - -2. Which is the nearest to y? (a) t (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 16\/507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*o - 23 = 0, 22 = -5*t + o - 29. Let n = t + 7. Let q = 1 - n. Solve 30 = 5*a - 0*f + q*f, 0 = -5*a - 3*f + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/105132 + 141528101\/280352. Let u = -2021\/4 + h. What is the common denominator of u and 89\/112?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205109, 410200, 615291, 820382?\nAnswer: 1025473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.313 rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**3 + 8*u + 71. Let n(h) = -2*h + 1. Let r be (10\/(-6))\/(-2*10\/48). Let k(z) = r*n(z) + y(z). What is the first derivative of k(l) wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(100)\/sqrt(160) + sqrt(10)))\/((sqrt(140)\/sqrt(360))\/sqrt(7)).\nAnswer: -45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 205\/(-615) - (28\/(-6))\/(-1). Let q(p) = -12*p**2. Let s(d) = 11*d**2. Determine c*s(m) - 4*q(m).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6410 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2940) + (sqrt(2940) - 1*sqrt(2940))*3 - sqrt(2940))\/(sqrt(132)\/((sqrt(77)*1)\/sqrt(7))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190541 and 14657.\nAnswer: 190541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((140\/(-10))\/(-42))\/(1\/(-15))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 7. Let m be r(-4). Let v = -13 + 20. Is v not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78985 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1*(-8)\/(-12)*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by 50.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -3)*(-6)\/15. Suppose -3*b = -h*b - 3. Suppose 311 = 4*v - 3*u, -u + 61 = b*v - 169. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851 is divided by 681.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333 = 11*i - 48*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 + 4*u**3 - 2*u**3 + (4*u - 2*u**3 - 4*u)*(1 + 3 - 5) + u**3 - 2*u**3 - u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**6\/30 - j**5\/30 - j**4\/12 + 5*j**3\/6 + 6*j**2. Suppose -5*a + 3*c + 2 = 8, -5*a = -2*c + 9. Is 29 a factor of l(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1 - -5.1. Let g = 5.8 + -8.1. Let f = g + d. Which is smaller: f or 2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8631565 is divided by 2779?\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 + 47. Let x be 3216\/30 + (-12)\/y. Suppose -6*f + 3*f - x = 0. Round f to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -26*f**2 - 9*f. Let b(n) = -6*n**2 - 4*n. Let y(t) = 4*t**2 + 2*t. Let k(h) = b(h) + 2*y(h). Determine r(k(d)).\nAnswer: -104*d**4 - 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + (4*(sqrt(300)\/sqrt(5) + sqrt(60)))\/((sqrt(144) + sqrt(144)*3)\/sqrt(12)) + 2)**2.\nAnswer: 8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9132356*j**4 - j**2 - 41115*j + 80.\nAnswer: -109588272*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 10) to base 11.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848 is divided by 289?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006114 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 54628 + 27312 + 2*x + 27316 - x**2. Let r(d) be the second derivative of -d**3\/2 + d. What is r(h(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 4*n**2 - 4*n + 1. Let p(d) = -d**3 - 2*d**2 - 3*d - 5. Let v be p(-2). Let g be w(v). Solve -a - g - 4 = -5*r, a = r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*v**3 - 8*v**3 + 65*v**3)*(0*v + 2*v - 4*v) + 7*v**2 - 7*v**2 - 4*v**4 + (-5*v**3 + v**3 + 3*v**3)*(0 - 3 + 0)*(4*v + 7*v - 4*v).\nAnswer: -51*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12243530 (base 7) to base 6\nAnswer: -35352042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12027 and 291813?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -13. Differentiate h*p**3 + p**3 - 5*p**3 + 2 - 4*p**3 with respect to p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*u = 6714 + 14084, -10412 = -k + 4*u. Let w = -20104 + k. Round w to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49.052 - -0.052. Let x = f + 52. Sort x, 4, -3\/4 in increasing order.\nAnswer: -3\/4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/8))\/w)\/w**(-2\/5)*w*w*w\/w**0*w*w*w*w*w\/(((w*w**0\/w)\/w)\/w*w) assuming w is positive.\nAnswer: w**(381\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, 136, 5 in decreasing order.\nAnswer: 136, 12, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*f - 141*f + 251*f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6408885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-18)))\/b*b*(b\/b**(-3))\/b)\/(b\/(b**(7\/3)\/b*b)*(b**(-1\/6)\/b)\/b) assuming b is positive.\nAnswer: b**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 + 4*i**2 - i + 2. Let f be g(2). Solve 4*m - 2*m = f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59105902 a multiple of 1077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -804162.0927 to the nearest 10.\nAnswer: -804160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -109 - -74100?\nAnswer: 73aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1469 + 1470. What is the nearest to b in 4, 1, 2\/5, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 31*y - 130. Determine j(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**2 - 4565*h + 574000 = 0?\nAnswer: -1025, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 54? (a) 15 (b) 2\/5 (c) -495 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -51, 4\/9, -2\/17, 26?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 680064 and 3850?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26631, 26632, 26633?\n\"Answer: y + 26630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -22767387\/10 smaller than 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1681\/2 + -839. Let d = 3.08 - 3. Which is the closest to 0? (a) r (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -8*m**5 + 40*m**4 - 26*m**3 - 60*m**2 - 18*m = 0.\nAnswer: -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2)*(-18)\/(-15). Suppose -15 = -4*l - 3*u, -5*l + 3 = 3*u - 12. What is the second derivative of -3*s + 7*s**3 + m*s**3 + 4*s + l*s wrt s?\nAnswer: 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*u - 48485, -4*v - 38812 = 4*u - 0*u. What is u rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 804*w + 9. Let x(i) = i + 85. What is x(d(v))?\nAnswer: 804*v + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i - 9. Let y(h) = -7*h + 10. Let n(p) = -6*c(p) - 5*y(p). Let w(o) = -735913 - 735920 + 8*o - 735919 + 2207747. What is -6*n(m) - 5*w(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - 0) + (1044 - 1016).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 7) in base 14?\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2. Let o(x) = -8*x**2 - x - 1. Determine 6*c(i) - o(i).\nAnswer: 2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3135 + 3141. Solve -2*r - a = -y - 3*r, 16 = 4*y - 4*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 686, 2774, 6254, 11126?\nAnswer: 17390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14092783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01202252 rounded to four decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/(-30))\/(-4))\/((-61)\/(-305))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, i: 3, w: 4}. Give prob of sequence kiiw.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 5*x - 55, -25 = -3*d - 4*x + 11. Suppose -12 = -12*w + d*w. Find the third derivative of 7*t**2 - 8*t**3 - 17*t**w - 40*t**2 - t**2 wrt t.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 8*a - 1. Determine b(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**4 + x**3 - x**2 - 3*x - 1. Let s(w) = 5*w**4 - 14*w**3 + 15*w**2 + 90*w + 6. Let m(q) = s(q) + 6*y(q). Factor m(u).\nAnswer: -u*(u - 3)*(u + 3)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 6*x = 10*x + 4986, -4*d = 2*x - 3968. Let c = 1966 - d. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpkkwev. Give prob of picking 1 p and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2*-1)\/(35\/(-70)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 66*p - 56*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 1, c: 2, r: 5}. What is prob of picking 1 m and 1 t?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -380 + 247. Let y = f - -140. Calculate the greatest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 7:47 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -201*u**2 + 95*u**2 + 144*u**2 + 4*u + (1 - 3 - 2)*(-u**2 - 1 + 1).\nAnswer: 42*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 166, 321, 484, 661, 858, 1081, 1336?\n\"Answer: u**3 - 2*u**2 + 154*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 18 = 0, s - 10*f + 6*f - 20 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79.29 + 79.49. Which is the smallest value? (a) -1\/6 (b) -0.5 (c) -0.9 (d) 1 (e) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -17*w**5\/20 - 2965*w**2. Let l(i) = -12*i**2. Give x(l(b)).\nAnswer: -7344*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -335*c**4 + 1344*c**3 + 2*c**2 + 8*c + 1309 wrt c?\nAnswer: -8040*c + 8064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 + 711 = 9*o. Suppose -19*a = -20 - 2830. Which is smaller: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38238624.0999956 + 38238617. Let h = 7.1 + u. What is h rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 3*w)*(-250 + 255 + 245*w - 482*w) as j + u*w + k*w**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 14*a - 19. Is m(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 431*p**4 - 14800*p**3 - 2881*p**2 + 8*p + 7959.\nAnswer: 10344*p - 88800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 5*y - 4. Let w be (-2)\/8 + (-543)\/(-12). Suppose -y*j + w = j - 3*l, l = 5*j - 35. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 429*o**2 - 11352*o + 77. Determine k(25).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678\/2 + (-7)\/(28\/(-24))?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 4:45 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2755679699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002857603 rounded to seven decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -20*a. Let g be (-15*4\/8)\/((-6)\/4). Let o(p) = -20*p. Calculate g*k(i) - 6*o(i).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 - -66. Which is the second smallest value? (a) r (b) -2\/133 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**3\/2 + 3*u\/2 - 12. Factor g(r).\nAnswer: -3*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.57673 kilometers in nanometers?\nAnswer: 6576730000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 547699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 5*p**2 - 9*p - 8. Let s = 15 + 13. What is the remainder when s is divided by o(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 52\/(-4) - (3 - -2). Let z be o\/(-36) - (-13)\/2. Solve 3*t + 2*c - z = 0, 0 = 3*t - c + 5*c + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 16. Suppose -8*u - z = -9*u. Suppose 3*h - u = h. Is h < 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 97763318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26055312, 26055315, 26055318, 26055321, 26055324, 26055327?\nAnswer: 26055330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(72) + 0 - sqrt(72))*-1)**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from ppzpeppppiiipp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*y - 7*y. What is the second biggest value in y, -4, 0.4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-20)\/12*3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15303 + 22?\nAnswer: 15325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4*n = -24, -2*z - 3*n = -4*n + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 9. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 14. Let s(p) = p - 1. Let a(j) = -4*j + 3. Calculate u*a(d) + 2*s(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 17 = 141. Let i = 60 + j. Suppose -839 = -5*x - i. What is the greatest common factor of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4714691071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/16 - (-3)\/4. Is (-4)\/(-8)*(297 - b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*z + 24 = 0, a + 9442*z - 18 = 9440*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpw when three letters picked without replacement from zprzprxpwrwp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -26. Let a(k) = -k**3 + 11*k**2 - 7*k - 1. Suppose -6*s + 3*s - 18 = -3*w, 0 = 5*s - 20. What is the remainder when a(w) is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f + 363*f**2 - 335*f**2 - 25*f + 50*f.\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**0*g*g**(-1\/11)*(g*g\/(g**(-3\/7)\/g)*g*g)\/(g**(2\/7)\/g) assuming g is positive.\nAnswer: g**(543\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 - (2 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.24 in -0.5, 4, -7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1164 and 134733?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15343 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + 17*o**2 - 10386*o + 93501. What is s(9)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 17*f**2 - 19*f + 23. Determine h(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176 + -260. Let k be (0 + c)*5\/(-10). Suppose -4*z + 18 = -k. Solve -3*p - 3 = -z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/71439795 and -25\/62083.\nAnswer: 500078565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c - 5*c + 3*c - 2*c + 3 - 3 + (0 + 0 - c)*(-4 + 4 + 2) + (3 + 3 - 2)*(4*c + 0*c + 3*c)*(5 + 5 - 6)*(0 - 1 + 0) in the form x + q*c and give q.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 409\/223 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28430 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 14*n**3 + n**2. Suppose 0*d + 1 = -d. Determine b(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1900) + (4*sqrt(1900) + sqrt(1900))*5 + (-5 + sqrt(1900) + sqrt(1900))*-5)*-2)**2.\nAnswer: 800000*sqrt(19) + 48702500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51817 by 11.\nAnswer: 51817\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - 8. Let l = -13 - d. Solve c + 3 = -l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15781480374542 + -0.1?\nAnswer: -15781480374542.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 + 0*m**4 - 3*m**4)*(19 - 19 + 18*m) + ((-m + 5 - 5)*(-3*m - m**2 + 3*m) - m**3 + 2*m**3 - 3*m**3)*(-1 + 3 - 1)*(-4*m**2 + 2*m**2 + 3*m**2).\nAnswer: -55*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 911247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -1. Let a(i) = -i**3 - 3. Let o be a(u). Calculate the greatest common factor of o and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 386*o**3 + 1913*o**2 - 3052*o + 1524.\nAnswer: (o - 381)*(o - 2)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2752632394?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29193?\nAnswer: 3, 37, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c - 5*c + 0*c - 3*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**7)**(-49))**(1\/45) assuming c is positive.\nAnswer: c**(-343\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-36))\/(75\/(-40))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 7*b. Let u be r(7). Suppose u = 6*p - 5*p - 14. What is the least common multiple of p and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 0 + 21\/2*r**4 + r**5 + 31*r**2 + 1\/30*r**6 + 98\/3*r**3 + 0*r. What is o in l(o) = 0?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2068*s + 6286 - 20762 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 11*n**2 - 3*n - 70. Let h be p(10). Solve 0 = m + 3, h = 3*x - 7*x + m + 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 14861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2587 - -173360?\nAnswer: 170662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14535079 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 7. Let s be i(-1). Suppose 0*f = f - s. Solve 2*p + f = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -259840 = -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3783, 7565, 11347?\n\"Answer: 3782*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*f - 9. Suppose 3*y = -0*y + f. Suppose 0*w - 2*w - 4*w**3 + 6*w**2 + w**4 + 1 - y*w = 0. Calculate w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 9*q**2\/2 - 5*q + 9. List the prime factors of m(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -459 - -2a?\nAnswer: -42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 10. What is the smallest common multiple of 3 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.97 + 2.97. Which is the nearest to -1? (a) y (b) -0.1 (c) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6597.082 years to months.\nAnswer: 79164.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10c567 (base 16) to base 5\nAnswer: -240132421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3831 + 3883. What is the remainder when x is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1270 = -t, 2*t + 7*o - 2530 = 3*o. Suppose 0 = p - t - 310. List the prime factors of p.\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3751 - 3830.5?\nAnswer: -79.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39\/152 + 4581\/2584. What is the common denominator of 3*(434\/60)\/(-7) and r?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 4*i**2 - i + 78. Suppose -6*g = 235 - 271. Let r be o(g). Solve 6\/5*l**4 + 0*l - 8\/5*l**2 + 0*l**3 + r + 2\/5*l**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 5*i**2 - 7*i - 1. Let b be n(-6). Suppose 10*d = 6*d. Suppose p - b = -d*p. Solve -x + 0*x = p*a + 23, -2*a - 16 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 6*a - 6. Let f be v(7). Let z be (0\/(-2))\/(f - (-1 + 3)). List the prime factors of -78*2\/(-4) + (z - -2).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*o + 64 = 94, 0 = -g - 2*o + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278068676 is divided by 4663?\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + -57. Suppose -p = -h + 81. Which is bigger: 1\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(66)*1 - (sqrt(66) + (2*1*sqrt(66) - sqrt(66))))\/((sqrt(240)\/(sqrt(40)\/sqrt(4) + sqrt(10)))\/sqrt(4)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 43408022.85 to the nearest 10000.\nAnswer: 43410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 101*h - 1. Let v(c) = -7286*c**3 + 5*c**2 - 522*c - 128. Let j(k) = -5*g(k) - v(k). Find the second derivative of j(n) wrt n.\nAnswer: 43716*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1288.\nAnswer: -3\/1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116604 and 1804.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*3*26\/(-15). Let t(z) = -4*z**3 + 5*z**2 - 9*z + 21. Let o(s) = -s**3 + s**2 - 2*s + 5. Let y(c) = w*o(c) + 6*t(c). Determine r so that y(r) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 59*j**8\/168 + 7*j**5\/12 - 148*j**2. Find the third derivative of m(d) wrt d.\nAnswer: 7080*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**4 + 19*s**4 + 7*s**4 + (0*s + 0*s + s**2)*(-3*s**2 + 0*s**2 + s**2) to the form z + x*s + h*s**4 + j*s**3 + o*s**2 and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.066+560\nAnswer: 559.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 282844769 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, -5, -0.0574, 2 in descending order.\nAnswer: 2, -0.0574, -5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1619 and 4.52?\nAnswer: 1614.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q**2 + q + 12. Let a be d(0). Suppose -3*y - 115 = -4*v, -545*y + 135 = 5*v - 540*y. What is the greatest common divisor of v and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + (sqrt(3) + sqrt(36)\/(2*sqrt(12)))**2.\nAnswer: 27\/4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269788.\nAnswer: 2, 67447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10547*m**2 + 3054*m - 16298623 wrt m.\nAnswer: -21094*m + 3054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 3*v - 10. Let q be n(5). Let c be 1 - 3\/15*q. Let b(m) = -7*m**3 - 2*m + 1. Calculate b(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3177\/364 less than or equal to -393\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 10*f - 334. Let x be s(14). Let r(k) = -5*k**3 + 2*k**2 - 2*k + 4. Give r(x).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000040912402 rounded to six decimal places?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n + 2*n + (n - 3*n + 0*n)*(-4 + 3 + 4) + 3*n - 3 + 3 + 3*n + n - 6*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 3:05 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -1\/8, 2\/5, 2\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (126591\/36)\/((-6)\/(-4)). Let w = g - 2347. Let t = 114\/11 - 21\/2. Calculate the common denominator of w and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1337855042*1\nAnswer: 1337855042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1440998386.\nAnswer: 2, 720499193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t + 32. Let f(v) = 4780*v. What is p(f(h))?\nAnswer: 14340*h + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - 13100 = 0. Suppose 1330 = -5*n + g. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2342\/63 + -332\/9. What is the closest to -1 in 96, 0.5, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/w**2)\/w)\/((w\/w**2)\/w))\/(w*w**18)**(-2) assuming w is positive.\nAnswer: w**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -3) + -4 + (3 - 4). Let z(u) = u**3 + 7*u**2 + 5*u - 7. Let m be z(-6). Let f be (1\/(-1))\/(1\/m). What is the third biggest value in f, -1\/8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 32*r + 1883. Determine k(54).\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 530\/(-3710)*(-1 + 0 + -426). What is the greatest common divisor of 4 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -41*l + 44*l + 2*d, 2*d = -l - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1460205 divided by -2\nAnswer: 1460205\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-1\/11))\/g)\/g*g)\/(g*g**2\/g))**33*((g\/(g**(1\/8)*g))\/(g**(-4\/9)\/g))**(-15) assuming g is positive.\nAnswer: g**(-1987\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*b = 25, n - 3*b + 3 = -1. Suppose -4*d + 9 = -n*p + 86, -p = 4*d - 1. Let t = -9 + p. What is the least common multiple of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7069, 29, 15 in increasing order.\nAnswer: 15, 29, 7069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 311 in -2\/7, 0.06, -8?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(-1 + h + 1 + (5*h - h - 5*h)*(1 + 2 - 17))*(-h + h - 2*h**2)*(-4*h + 4*h + 6*h) in the form f*h**2 + t*h**4 + u*h + y + r*h**3 and give t.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 459*s - 419*s + 920 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhvhcchchvhh. What is prob of picking 2 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13684146.\nAnswer: 2, 3, 7, 325813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 4*h - 4. Let p be j(4). Let l be 2\/(-6) - p\/(-6). Let i be ((-1)\/l)\/(-1) - -2. Sort 2, -3, i in decreasing order.\nAnswer: 2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120 + 192. Let t = n + -75. What is the tens digit of t\/7 - 4823\/(-49)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -4. Let n be (-1)\/(4\/2 + c). Let v be -2 + (-1 - (-14500004 - n)). What is v rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*j - 54 = 0, -94 = -5*d + 3*j - 10. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 5*q + 15. Let x = 8894 - 8901. Sort 11, x, q in descending order.\nAnswer: 11, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2334.741 - 2334. What is w rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*i = 110 + 1500, 5*i = -u + 322. Suppose 2*d - 2*f = u, -473 = -3*d + 6*f - f. Calculate the common denominator of -71\/14 and -1 - (d\/(-16) - 2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1396129 and -0.7943.\nAnswer: -1396129.7943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13419)\/18)\/(-3) - 14\/(-28) a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 3*l**2 + 3*l - 2. Let j be g(2). Suppose -9*t + 8*t = j. Suppose 3*d = -t*d + 54. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888652?\nAnswer: 2, 222163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -0.615, 10, 5?\nAnswer: -0.615","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 35 = -5*y, 5*j - 4*j = -y + 6*j - 28 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a29e + 2?\nAnswer: 6a2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*d + 3*f, 3*d - 8*f = -9*f + 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4.8 (b) 3 (c) -0.3 (d) 31 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 442 and 11232.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -754.51 + 788.5. Let a = -34 + f. Is -0.1 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:07 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*c = 1, 4*c - 11 + 3 = 4*d. Let 6*w + 2*w**2 - d + 4 + w**2 = 0. What is w?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4 + 6*q**3 + 9*q**2 - 4*q - 12 = 0. Calculate q.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7 - 12 + 9*f + 2 - 2*f**2 - 6*f - 6*f. Let m(j) = j + 6. Let c be m(-4). Let l(i) = -c*i - 5*i + 3*i - 4 - 2*i**2. Calculate -3*l(p) + 4*s(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3 = 6*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 0*l**2 + 0 + 128*l - 4\/3*l**3. Let v(m) = 25*m**2. Determine v(a(o)).\nAnswer: 1600*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r = -91 - 17. Solve -5*f + 3*o = -12, -20 = -r*f - 4*o - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -j + 54. Let z = j - -287. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8*w = 130. Let m be ((-69)\/(-12) - 6) + w\/(-4). Solve u + y + 5 + 0 = 0, 0 = m*u - 4*y + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1486 minus 7865665?\nAnswer: -7867151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 3, n: 5, b: 3, s: 7}. Give prob of sequence otn.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 11.456 (c) -27 (d) -1\/102 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2747\/205 - 10\/25\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/4*48\/(-84). Which is bigger: c or 18\/35?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*s + 188 + 113 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 113*n - 425?\nAnswer: 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -484 + 487. Put 2, 1\/11, g, -2\/7 in ascending order.\nAnswer: -2\/7, 1\/11, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 11950*h**2 + 130 - 130.\nAnswer: -h**3 + 11950*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9079.42mg to kilograms.\nAnswer: 0.00907942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11434980 is divided by 242?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36927 and 297.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 0.06, -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**4\/6 - 24*c. Let y(p) = -p**2. Calculate y(h(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1711 is divided by 62.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1322118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 21*s - 11 = 0. Let d(y) = -y + 3. What is the remainder when s is divided by d(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385 a factor of 931772600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)*x**(5\/2)*(x\/(x\/x**(-1\/4)))**(1\/64))\/(x*x*x**(-1)*x*x**(-3)*(x**0)**(-33)) assuming x is positive.\nAnswer: x**(-129\/256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 5135?\nAnswer: -5133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (1 - (-1 + 58)). Suppose -t = 3*t - 20. What is the greatest common factor of t and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*q - 7 - 13*q**2 + 89*q + 0*q**2 to b*q + t + i*q**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 31*(1 - 0) - -1. Let q = 264 + -377. Let l = q - -117. Calculate the greatest common factor of r and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -8 - 22. Suppose -14 = -h + 2*m, -4*h = -s*m - 17 - 9. Solve 26 = h*p + 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1506*k - 591136 = -2516*k + 6371*k + 8207*k for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -6 (b) 1.24 (c) 2 (d) -1 (e) -12.73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10716 - -800.53579?\nAnswer: 800.42863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546810042?\nAnswer: 2, 3, 91135007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 + 202 + -92 - (-71 - -1).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 947, 10, 22 in decreasing order.\nAnswer: 947, 22, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s + 1. Give n(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 9664?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 991710.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18 - ((-48 - -113) + -8)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-4) + 147\/2. Let r = p + -44. Let z = r + -19. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7264*o - 2*o**2 - 3 + 3 + 7264*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 + -2 - 4) + (24 - (-1 + 3) - 33).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 7. Let m = k - -4. Suppose m = 2*q - 10. What is the highest common divisor of 4 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 15*s - 2 + 0)*(-s - s - s).\nAnswer: -45*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*y + 14 = 0, -4*g + 12*y - 11*y + 11 = 0. Let u = -15 + 29. Let l = u - 10. Sort g, -2, l in increasing order.\nAnswer: -2, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654584 is divided by 40904.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48441 + -48441.5. Let p = -23\/200 + -1\/100. What is the third smallest value in p, -1, a, -4\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 812 = -3*d, -8*d - 1372 = -13*d + s. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 2*q - 8, -9*q = l - 11*q + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*-2*5\/(-4)*(-43817)\/262902?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4860*t**2 + 1487 - 1487.\nAnswer: -4860*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*m - 110, 47 = 3*m + 5*n - 35. What is the greatest common divisor of 4794 and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -330c - -36?\nAnswer: -32a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4512.49 - -4583. What is q rounded to zero decimal places?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-22 - -24) + ((-33)\/(-15) - 4)). What is the fourth smallest value in 0, -4, -1\/6, 0.1, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35003585 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -98, 2, -5, 1 in increasing order.\nAnswer: -98, -5, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1441.5 or -2\/115?\nAnswer: 1441.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -128297668.67577 and -0.4.\nAnswer: -128297669.07577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -60\/913 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -283*z + 283*z - 77*z**2 + 60*z**2. Let j(t) = -202*t. What is j(n(w))?\nAnswer: 3434*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 20202?\nAnswer: -20200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:09 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111100111 - -10111?\nAnswer: -11111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7 = 5. Suppose -3*g + 5*h = -11, -3*g - w*h - h = 29. What is the units digit of (-5)\/((g - -4)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-13)\/k)\/(k*k**8)*((k*k\/(k\/(k\/(k\/k**(-5)))))\/k)\/k**8 assuming k is positive.\nAnswer: k**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*c**5\/13 - 5492*c**4\/13 - 11840*c**3\/13 - 4096*c**2\/13 = 0.\nAnswer: -16, -2, -64\/149, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2004 in -1, 3, 490, 9\/4, 0.5?\nAnswer: 490","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 527 + -527. Suppose 3*a + 4*z - 41 + 57 = p, 3*a - z = 4. Is 2\/2393 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -15*g - 3. Let a(p) = -105*p - 20. Suppose 0 = -95*h + 87*h - 160. Calculate h*s(t) + 3*a(t).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-138)\/4 + (3 - 8) and (-21 - 3679\/(-234))\/((-16)\/(-6))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*n - 18, 0 = n + n - 4*u + 12. What are the prime factors of 1\/3 + (-754)\/n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2015 + -2010. Let t(b) = -b**2 + 5*b. Suppose 3*l - 13 = 2. Let m be t(l). Solve -4*s + 3*n = 8*n + w, m = -s + 3*n + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from {l: 7, w: 5}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/11 and -31\/10331167.\nAnswer: 10331167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -588, -955, -1322?\nAnswer: -1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 11. Give d(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) 5 (c) 2\/7 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37776964.\nAnswer: 2, 307, 30763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let c(q) be the third derivative of -q**5\/10 - 2*q**2. Give f(c(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175080604.\nAnswer: 2, 71, 616481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 1160*d**2 + 75392*d - 1293824.\nAnswer: 4*(d - 14)*(d + 152)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*g + 2*g**2 + 17*g**4 + 93*g + g**2 - 2*g**3 - 2*g**2 as q*g**3 + d*g**2 + z + a*g**4 + l*g and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y. Let x(a) = a + 4. Let d be x(-2). Does 5 divide f(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*x + 16 = -x, b + 5*x - 22 = 0. Let o be b\/30 - (-6)\/(-15). Solve 2*p - p = o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4 = 5*v, 7*v = 3*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**3\/5 - 48048*o**2\/5 + 2297088*o\/5 = 0.\nAnswer: 0, 48, 11964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2706647.\nAnswer: 691, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250481 is divided by 50074?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 48*m**2 - 48*m - 50. Give k(49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/16 and 7\/(-28) + 150\/296.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/118612 and 5\/355836.\nAnswer: 355836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(-2 - (0 + -1)). Let u be (5 - 4)*(0 - -5). Let g(f) = -6 - 5*f - 4*f**2 + 9 + u*f**2. Calculate g(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -291363 less than or equal to -291367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -335 and 133398.\nAnswer: 133063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/62, -170, -1 in decreasing order.\nAnswer: 1\/62, -1, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + -3 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10879\/1518*(-6 + 12 + -12).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43988 + -43860. Solve -113*s + t*s = -90 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.112 - -0.212. Let h = r + 16.9. Let g = -9 - -6. What is the closest to h in -0.7, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a factor of 771358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 230975*a*y**3 + 2*a + 6*y**3 - 1954*y**2 - 2*y + 1 wrt a.\nAnswer: 230975*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (65940\/(-49))\/(-6) + 4\/(-14). Suppose 338*d = 342*d - n. What is the smallest common multiple of 70 and d?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 16) to base 10\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -167, -285, -463, -707, -1023?\nAnswer: -1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-6)\/(-12))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5800*0.027.\nAnswer: -156.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 478?\nAnswer: -12\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2171*z + 1814*z + 1660*z + 2*z + 3*z - 3*z + (2 + 0 + 0)*(2*z - 1 + 1) - z - z + 0*z to the form g + y*z and give y.\nAnswer: 1307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 80289.73km?\nAnswer: 80289730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*a + 2*k, 4*a + k = -2. Let f = 16 + -21. Sort 11, a, f, 1.\nAnswer: f, a, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/42 - (-4)\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.9 - -281.9. Let r = p - 285. Sort r, -1\/8, 1.\nAnswer: r, -1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 605 and 150.\nAnswer: 18150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -96 in -0.2, 3\/25, -0.09?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*k - 279920 = -1713*k - 1490*k for k.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2. Let j(y) = -388577*y + 256*y**2 + 388577*y - 1234*y**2. What is j(q(t))?\nAnswer: -3912*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - m = 5, -183*g + m = -188*g + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 0.732, 0.5, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432450, 865128, 1297792, 1730436, 2163054, 2595640, 3028188?\nAnswer: 3460692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -7)*1*(-1)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -1113?\nAnswer: 50\/1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 331463086 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1320*l + 1826. Let t(f) = -443*f + 609. Let k(j) = 2*m(j) - 7*t(j). What is the derivative of k(r) wrt r?\nAnswer: 461","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -35. Solve -2 = 2*b + w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - 639*(-92)\/(-1863)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30464 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z*(z**(16\/7)\/z)\/z*z)\/z*z*z**(-1\/6))\/(z**(2\/9)*z\/z**(-1\/3)*z) assuming z is positive.\nAnswer: z**(197\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 32*m**3 + 25*m**2 + 1663*m - 6. Let b(d) = -5*d**3 - 4*d**2 - 277*d + 1. Give -25*b(p) - 4*y(p).\nAnswer: -3*p**3 + 273*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 6.5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2273, -3, 5, 1 in ascending order.\nAnswer: -3, -1, 1, 5, 2273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 93 = 7*m - 11*g, 4*g + 4 = -15*m + m - 60 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o + 2. Let j be k(7). Let r = j - 46. Does 19 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 4, -2, -0.09?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j - 5*j)*(-1 - 1 + 1)*(15 - 8 + 8).\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + b = -11, -4*b + 4 + 0 = 0. Suppose -61*f - 51 = -417. Suppose 3 = -5*n + k, 0 = -f*n + n - 3*k + 9. Solve -y*w = -n*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 - -0.3. Let p = 0.04803 - 3.04803. Sort p, -9, j in descending order.\nAnswer: j, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by ((-10)\/(-135) + 18055\/(-621))\/(0 - 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 1, 4\/7, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 14*d**2 + 169*d + 366. Let h(c) = 5*c**2 + 57*c + 122. Let a(u) = -8*h(u) + 3*w(u). Let v be a(-23). Solve 0 = -7*j - 21 - v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 4. Let d = -3 + g. Suppose 2*z + 5*b = -d*z + 11, 0 = -z - b + 3. Solve -3 = 3*c, -z*h + 2*c - 2 + 8 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 1 (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - 7*u - u + (3*u + 2*u - 4*u)*(1 - 4 + 2) - 3 + 3 + 2*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1520 - 234?\nAnswer: 12a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aau when three letters picked without replacement from aauuzya.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = 3*b + 234, -919*b + 3*w + 80 = -915*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szrkvvu. Give prob of sequence zu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3 = 3*q - q, -5*h + q - 15 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:56 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 4:24 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4 + 75*s**3 + 84*s**2 - 1956*s - 3600 = 0.\nAnswer: -4, -2, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8864 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 7*i + 7 + 3*i + 6*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a factor of 5689223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from ppeeqk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31776 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 510.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 324744379 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-205073)\/(-25) - (-76)\/950. Suppose 407 + b = 14*m. List the prime factors of m.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 234692 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 197302, 5 in decreasing order.\nAnswer: 197302, 5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2311201 (base 4) to base 3.\nAnswer: -120221021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 295 + -292. Suppose -z*b + 4*w = 5, -5*w = 5*b - 13 - 37. Solve 5*l - l = b*i - 33, 5*i - 25 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1784.7 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -34*((-2078)\/(-10))\/(18 - (-273)\/(-15)).\nAnswer: 2, 17, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10\/31 - 19\/155. What is the nearest to -1 in u, -5, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2462.90384 to the nearest integer.\nAnswer: 2463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 5. Let h be a(8). Suppose -4*j = -6*w + h*w + 29, -3*j - 9 = 2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 277, 0.2, -2, 5, 2\/7?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*k**4 - 1\/4*k**3 - 1\/2*k + 5\/4*k**2 + 0 = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -18. Let n = -7 + u. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(240\/64))\/(13\/(-195)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302381130?\nAnswer: 2, 3, 5, 31, 541, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 37*s + 256. Let n be j(9). Solve 5*b - n*b - 3 = -k, 5*k - 15 = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1630553 and 222.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -194458317 rounded to the nearest 1000000?\nAnswer: -194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p - 6469120 = -53*p - 86*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**20)**(-33))**(-30) assuming m is positive.\nAnswer: m**19800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.33, -0.15, 0.2 in ascending order.\nAnswer: -0.15, 0.2, 0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -4*d - 7, v - 3*d - 10 = -0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -55*a**4 + a**3 - 5*a**2 + 42. Let p(h) = h**4 + h**2 - 1. Let q(d) = -5*p(d) - v(d). Find the first derivative of q(z) wrt z.\nAnswer: 200*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 17*i**2 + 6*i - 150. Let m be g(-16). Sort 0.4, 1\/9, 0, m in increasing order.\nAnswer: 0, 1\/9, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-276)\/(-32) - (-24)\/64. Calculate the highest common divisor of 135 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k + 17732 + 94864. Let v = k + 3649985\/389. Which is bigger: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.36 (b) 5 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - 1. Let s = 22 + v. What is the highest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3190 divided by -6\nAnswer: 1595\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-25)\/7)\/((-11)\/385*10). Solve -1 = -5*f + 2*r, -2*f + 9 = -5*f - u*r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1202 = -2*u + 1162. Sort -5, -10, u, 5, 3 in ascending order.\nAnswer: u, -10, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-13)*a*a)**(20\/3) assuming a is positive.\nAnswer: a**(-200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74? (a) 34 (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 8:33 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/106913358 and 19\/79422.\nAnswer: 748393506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -93. Suppose t = -3*t - s. Let k = 23 + t. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 12*u = -10*u + 9450. Is u a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 1 - (5 + sqrt(448) + sqrt(7)))**2 + -5.\nAnswer: 18 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -66*j**2 + 739*j + 72. What is m(11)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose 4*x - 18 = o*w, x = -3*w + 3 - 2. What is the first derivative of a**3 - 3 + x + 1 wrt a?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3690 and 190?\nAnswer: 70110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20999*h - 2*h**2 + 20999*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3)*o)\/o)\/o**(-3\/8))**(-24) assuming o is positive.\nAnswer: o**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 9920 = 1630. What is the remainder when b is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 3*v + 11 + 120 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fip when three letters picked without replacement from mippifpipmfffpppim.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -140073.70165 to the nearest 10.\nAnswer: -140070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 + 1 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -14764931.\nAnswer: 2\/14764931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v = -5*j - 29*v, -j + 5*v = j - 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by (2\/8)\/((-540)\/272 + 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-80))\/(-11)*(-1645)\/1974\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111011 - -11?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 5:02 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -246*z. Let k(i) = 18*i - 1. Give k(a(j)).\nAnswer: -4428*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -36\/2772719 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*c**4\/5 - 8163032*c**3\/5 - 2332352*c**2\/5 + 32652128*c\/5 + 9329184\/5 = 0. Calculate c.\nAnswer: -2, -2\/7, 2, 583074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + v**2 + 6*v. Let o(u) = u**3 + u**2 - u. Give -5*o(n) - x(n).\nAnswer: -3*n**3 - 6*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 15*v + 26. Calculate g(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**3 + 15*c**3 + 4*c**3)*(-3*c - 10*c + 4*c + 2) as d*c**4 + g*c**3 + u*c**2 + s*c + m and give d.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 8:01 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2 = -j + 11, 2*o + 5*j - 29 = 0. Suppose -k + 3*k + 2 = o*r, r + 7 = 3*k. Solve -b - r*s = -15, 5*b + 2*s - 5*s + 37 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.4 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160*g**3 - 19 - 2*g + 140*g**3 + 67 + 30 wrt g?\nAnswer: 1800*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4030 (base 6) to base 8\nAnswer: -1562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1038 and 917073.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-1)*i)**29 assuming i is positive.\nAnswer: i**116","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4 + 66*x**3 + 348*x**2 + 494*x + 213 = 0?\nAnswer: -3, -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/(-15) - (4 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in decades?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*g - 16. Suppose 44 - g = t. Suppose -b + t - 5 = 0. Does 30 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 13) to base 3.\nAnswer: -21202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18530.\nAnswer: 2, 5, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -17*q - 2. Let f be (24\/(-9) - -3)*-3. What is the remainder when (32\/(-10) - -2)\/(1\/(-60)) is divided by h(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.026 - -0.074. What is the biggest value in -4, -1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.28 times -1392?\nAnswer: 22661.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 10 - 8)*(-51*n + 99*n - 166*n).\nAnswer: 1062*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*m + m. Suppose -c - 4*c = 30. Let o be 33\/(-7) - c\/(-21). Sort m, o, 5 in decreasing order.\nAnswer: 5, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37\/20 + -5\/4. Let n = -1.3 + 1.2. Let p = -0.3 - n. What is the third biggest value in f, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 10 - 7. Let y be 0*c\/2*(0 + 1). Suppose -11*b + 14 + 30 = y. Solve 8 = j - l - b*l, 2*j = -5*l - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(5925 + 286*c - 5925) + c + 1 - 1 to the form k*c + q and give k.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -62\/209, 4, 0.665 in descending order.\nAnswer: 4, 0.665, 0.2, -62\/209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 932 + -431. Let v = w - 501.02752. What is v rounded to 3 dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 739, 740, 741, 742, 743?\n\"Answer: r + 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5066142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 53, 47, 41, 35, 29?\n\"Answer: -6*a + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19237311?\nAnswer: 3, 712493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 2*l + 1. Let c be z(-2). Suppose 17 = -5*o + c*t + 42, 2*t = 3*o - 14. Suppose -80 = -2*q - 2*q - 3*h, -7 = -q - o*h. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1. Let c(b) = -4*b. What is c(l) + 2*u(l)?\nAnswer: -4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.05626 to one decimal place.\nAnswer: -17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u + 3. Let a = -5502 + 5501. Let t(y) = y. Give a*h(c) + 3*t(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516393 is divided by 258178?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*t + 182. Let b = t - -68. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/455*-7*25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155*d**4 + 0*d**2 - 76071*d + d**2 + 39 + 0*d**2 + 76066*d wrt d?\nAnswer: 1860*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {y: 1, t: 1, u: 2, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.025252 - -1.108012. Let i = 48.48 - 49.56. Let k = p + i. What is k rounded to 4 dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/5*(-15)\/6. Let d be ((-8)\/(-10))\/(l\/(-50)). Let n(p) = -2*p**2 - 4*p - 3. Let c(u) = 4*u**2 + 7*u + 5. Give d*c(s) + 7*n(s).\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -12. Let p = 9.8 + u. Let f = 1 - p. Which is the third biggest value? (a) -0.3 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-1\/7)))\/(q*(q**0\/q)\/q))\/(q\/q**(-4))**(2\/11) assuming q is positive.\nAnswer: q**(18\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*k**2 - 150*k**2 - 147*k + 433*k + 410*k wrt k.\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l = 671 + 134. Let w(z) = 2*z**2 + 72*z + 106. Is 4 a factor of w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -369, -1516, -3431, -6114, -9565, -13784, -18771?\nAnswer: -24526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 + f - 2. Let o be v(3). Let p = o + -56. What is the derivative of -11 - 7 - p - 11*n + 4*n wrt n?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -278025902269\/3630 - -76591157. Let m = j - -19\/30. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*c - 12 = 0, 0*y - 13 = y - 5*c. Let x be (0\/((-4)\/4))\/1. Suppose 4*h + 39 - 15 = x. Is h smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d + d**2 - d - 1 + 0*d**2. Let w(l) = l**3 + 30*l**2 + 58*l + 48. Let b be w(-28). What is z(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -338*a**2 - 526*a?\nAnswer: -676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-24))\/(26*84\/2808).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -268.06 - -271. Let g = 1.1 - -0.5. Let t = g - k. What is t rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.6. Let r = 5 + -3. What is the smallest value in d, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 5*v**2 - 8*v + 3. Give g(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*m + 11 + 37 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2264, -2817, -3740, -5033, -6696, -8729, -11132?\nAnswer: -13905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -98 + 89*v**2 + 99 - 1408*v**3 - 90*v**2 in the form m*v + r*v**3 + b*v**2 + i and give r.\nAnswer: -1408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68800 and 920458.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -51*h + 267 + 130 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 9:28 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)\/sqrt(5))\/sqrt(7) + 0)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17879 - -17892. Let k(n) = -n + 4. Give k(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.4292733 to 1 dp.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40156 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 39*p**2 + 7*p + 78. Give m(-39).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 284, 1068, 2396, 4274, 6708?\n\"Answer: m**3 + 266*m**2 - 21*m + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (48346\/115)\/((-2)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3 - 4652*p**2 + 655640*p - 23853456 = 0. What is p?\nAnswer: 74, 2178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -333*k**2*q + 166*k**2 - k*q wrt q?\nAnswer: -333*k**2 - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 51 = -5*g + 6, -33 = -3*t + 4*g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 879201941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-1 - ((-21)\/6)\/(-7)). Solve 0 = -a*h + 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 4. What is the derivative of -3 + 0 - 4*u**2 - t wrt u?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 1364597.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1342.\nAnswer: 5368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/2350 and 57\/940?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z**3 - 7*z**2 + 1888*z + 19. Let g(n) = -7*n**3 - 5*n**2 + 1258*n + 13. What is -5*a(v) + 7*g(v)?\nAnswer: v**3 - 634*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/924 and 155\/2772.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 27*h**2. Let c(n) = -118*n. Calculate j(c(s)).\nAnswer: 375948*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1400966\/75 - -18679. Calculate the common denominator of t and -163\/90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 627*j**2 + 47*j**2 - 36 - 1314*j**2 + 639*j**2.\nAnswer: -j**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3229416*z**3 - 2*z**2 - 3*z + 2371511 wrt z?\nAnswer: -19376496*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23380199 + 771898990\/33. Let u = -10678 + g. Calculate the common denominator of (-79)\/(84\/(-1 - -3)) and u.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 22*y**2 + 108*y - 100. Let i be a(26). Let m = 11 + -7. Calculate the greatest common divisor of i and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -323, 3, -1, 5.\nAnswer: -323, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/7 + 50*t**3\/7 - 1434*t**2\/7 + 1426*t - 3080 = 0. What is t?\nAnswer: -44, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 + 60*g**2 - 57*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5, -2, 19, -4 in increasing order.\nAnswer: -4, -2, 5, 11, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 6 = 4*l. Suppose 0 = -6*k + l + 4. What is the lowest common multiple of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*g - 104*g - 42. Let y be g + 41 + (0 - -3). Factor 1\/3*j - 1\/3*j**3 + 1\/3*j**4 + 2\/3 - j**y.\nAnswer: (j - 2)*(j - 1)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4014 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -10 + (-12 - -49)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-8 - (4 - 8)) + 13 - 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/1*(-12)\/8. Suppose -10 = -2*f - t*f. Suppose f*h + i - 6 = 0, 3*h + i - 11 + 2 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -81993*o**2 - 906*o + 906. Let a(u) = -906*u**2 - 10*u + 10. What is -453*a(w) + 5*k(w)?\nAnswer: 453*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 0.1, 1\/7, -0.4, -2\/13?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14476 divided by 329\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**3\/3 + 5*i**2 - 11*i - 83. Determine h(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**2 - 200781*o + 166657620 = 0.\nAnswer: -67747, 820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 + -111 + 98 - 142?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -113 (b) 0 (c) -1441\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*(-115)\/20*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (124\/8)\/((-14)\/(-6)) and ((-34)\/(-595))\/((-6)\/200).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832 a factor of 453007489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 18*w = -21*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 175*i + 251. Let q(x) = -52*x - 84. Let z(b) = -10*q(b) - 3*w(b). Determine z(20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -233 or -0.013?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/4120489 and 11\/9570168.\nAnswer: 296675208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 4, 248828?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.52 (b) 2\/9 (c) 18 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -22. Let x(u) = u**2 + 8*u + 3. Let o be x(v). Suppose -w - o*w = 2*p - 116, 0 = -w - 3. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 250.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*y**5 + 36*y.\nAnswer: 4140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 8:58 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*y**2 - 46*y + 78*y**2 + 24 - 48*y - 24 to the form b*y**2 + s*y + v and give s.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**3 - 1285*o**2 + 72550*o - 140000 = 0?\nAnswer: 2, 80, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041655545 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100.78 * -54.\nAnswer: -5442.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y**2 + 5*y - 5. Let w(j) = -11*j**2 - 6*j + 6. Let f(h) = 6*v(h) + 5*w(h). Let d(r) = -71*r - 2. Calculate d(f(p)).\nAnswer: -781*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pggjgggjgggaaggj. Give prob of sequence ag.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5609*f + 11220. Calculate z(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3643, -3640, -3637?\n\"Answer: 3*o - 3646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/11 + -14\/33. Let p be 64\/(-132) - (-2)\/3. Which is the nearest to l? (a) 2\/15 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 - 23*t**2 + 26*t + 23. Let j(n) = -n**3 - 11*n**2 + 13*n + 11. Let m(p) = -7*j(p) + 3*z(p). Let k be m(-9). Is 27 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y + 29. Determine n(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*w = 5, 0*c - w - 29 = -5*c. Suppose 5*j - 36005 = -c*s, -j + s + 7198 = -s. Round j to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 - 31787.\nAnswer: -31786.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4979 and 237988157.\nAnswer: 3093846041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2512.46 milligrams to micrograms.\nAnswer: 2512460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 82*p + 44. Let g be t(-5). Let u = 558 + g. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**6*t**3 - 1522*c**6*t - 2*c**2*t**3 + 150*c**2*t**2 + 2*c**2*t - 3*c wrt c.\nAnswer: -120*c**3*t**3 - 182640*c**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 6*c**2 + 2*c + 5. Give j(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -214\/2007 - 1\/223. Suppose 47 - 26 = -3*t, -5*c - 3*t = 11. Let f = 1.2 + -0.2. What is the third biggest value in c, f, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + g**4 - 92*g**2 + 18*g**2 + 57*g**2 - 28*g**3 + 18*g**2 in the form b*g**3 + n*g**4 + m*g**2 + o*g + f and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.14 - -0.14. Let h = 6.4 + y. Which is the nearest to 2? (a) -4\/5 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/5 - 15102*g**3\/5 - 18777987*g**2\/5 + 114714792*g - 865488240.\nAnswer: -3*(g - 15)**2*(g + 2532)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, b: 2, j: 2, t: 4}. What is prob of sequence btjb?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238\/18 - ((-1)\/(-16)*2 + (-4375)\/(-45000))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) -0.06 (c) -3\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 2*y**2 + (0 + 2*y + 0)*(2 - 2 - y) - 88*y**2 - 42*y**2 + y**2 to t*y**2 + w + d*y and give t.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 0*s**3 + 0*s**4 - 81\/5*s**5 + 56 + 0*s**2 + 13*s. Differentiate o(i) wrt i.\nAnswer: -324*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 21*c**2 - 189*c + 1980. Calculate y(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 11*n**2 + 35*n + 46. Let u be y(-14). Suppose 37*v = 45*v - u. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 4*x - 3*x)*(4 - 4 - x**2) - 2*x**2 - 474*x + 474*x - 3*x**3.\nAnswer: -2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18543, -37089, -55643, -74211, -92799?\n\"Answer: -k**3 + 2*k**2 - 18545*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 4, x: 7}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + 1 + 3*c**3)*((0*c - 2*c + c)*(-2 + 4 - 4) + 2*c + 0*c - c + 0 + 2*c + 0 + 0*c - c + 4*c).\nAnswer: 24*c**4 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/5))**(-3\/14) assuming p is positive.\nAnswer: p**(-9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k - 20. Does 20 divide (15\/2)\/(k\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23631911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h = 3*h + 1406. Suppose 0*i + 3*i + 147 = 0. Let z = 69 + i. What is the remainder when h is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 3*l + 4. Suppose 5*u + 29*f - 35 = 34*f, 3*f = -2*u - 6. Give g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9 + 3 + 7 + 5 - 6*y. Let v be l(-5). Let h(n) = -24*n - 6. Let u be h(-4). What is the highest common divisor of v and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 8 (b) -0.3 (c) -0.5 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 25 - 9*q**2 - 16*q**2.\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93825 - -845881\/9. Let f = u - 162. Which is the closest to 0? (a) 2\/5 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**6\/24 + t**5\/5 - t**4\/8 - t**3 + 9*t**2\/8 + 2. Solve h(u) = 0 for u.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -130 (b) -23557 (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1012390591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v*v\/(v\/(((v*v*v*v\/v**(-38)*v)\/v)\/v*v))*v))\/v)\/v*v)\/v)\/v*v\/v**14*v**(-1\/47)\/v**(-23) assuming v is positive.\nAnswer: v**(-1740\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-12)\/(-3) + 3356. Let s = 1176 - v. Let m be (-50000)\/((12\/s)\/(-3)). Round m to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11888769, 11888768, 11888767, 11888766, 11888765?\nAnswer: 11888764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193412 is divided by 193370.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9182568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1, 0.4, 450?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 254 + -242. Suppose 3*l + i = -6*t + t, 2*t = -2*l - 4. Let x(m) = -m**3 + m + 1. Let q(d) = -2*d**3 + 2*d + 1. Determine t*q(n) + 5*x(n).\nAnswer: n**3 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4)\/((-52)\/37).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8546)\/(1 + (-12)\/4). Suppose -647 = -3*s - 3*m + 2557, -3*m + w = 4*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840352 divided by -38?\nAnswer: -420176\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-112)\/12 - (-4)\/(-6). What is the least common multiple of 8 and (-16)\/(-3)*(-15)\/o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 684 + -685. Let g = 39 + -155\/4. Sort w, g, 0.\nAnswer: w, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(19)*6)**2 + sqrt(19)*-6*-1.\nAnswer: 6*sqrt(19) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10156260 divided by -846355?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 15*h**2 - 42*h - 624. Give z(-14).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189950 and 30460382?\nAnswer: 7598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*3)\/sqrt(9) + (6*(sqrt(50) + sqrt(50)*-1 + sqrt(50)) - sqrt(50)))\/(1*(-6*(sqrt(90)*1 - sqrt(90) - sqrt(90)) + sqrt(90))\/sqrt(9)).\nAnswer: 8*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 4. Suppose -16 = y - d*y. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 15, 12, 4\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 19 = 5*u, o - 22 - 6 = -5*u. Suppose u*k + 14 = 4*f - 1, 2*k + 3*f - 17 = 0. Let i(v) = 73*v**2 - 2*v + 2. List the prime factors of i(k).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y + 42 = -27*y. Let f be 160\/(-25) + 6 + y\/15. Which is the third smallest value? (a) 0.1 (b) -2 (c) f (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(300)\/sqrt(4).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112120212 - -2112112?\nAnswer: -1110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26609904 and 18?\nAnswer: 26609904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 7*g**2 - 99*g + 267. What is the lowest common multiple of 56070 and a(3)?\nAnswer: 56070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**3 - 2*p + 1. Suppose 0 = 15*f - 233 + 68. Suppose 12*y - f*y - 9 = 0. Let b be -1 + ((-6)\/9)\/((-3)\/y). Determine i(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 47*s**2 - 59*s - 81. What are the prime factors of r(-46)?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 3*u**4\/4 - 20*u**3 + 57*u**2\/2 - 231. Factor f(s).\nAnswer: 3*s*(s - 19)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14999382 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5196 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*34\/663*2*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12088 = 1506*m - 18032 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157.64 - -158.64. What is the nearest to 2\/3 in -0.3, 5\/12, i?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-138)\/252 + (-2)\/7. Let h = -8 + 47\/6. Let t = q - h. Which is the second biggest value? (a) -1 (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 50*i**3 - 52*i**3 - 46 in the form v*i + p + z*i**3 + w*i**2 and give p.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2896348.4 times -0.03?\nAnswer: 86890.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 + 3*x**2 - x**3 + (x**3 + 3*x**3 - 3*x**3)*(49 - 40 + 113).\nAnswer: 121*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 202\/9 >= 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(273\/(-455))\/(2\/(-10)). Solve -866*n = -869*n + w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6816, -6861, -7074, -7539, -8340, -9561, -11286, -13599?\n\"Answer: -14*j**3 + 53*j - 6855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -152*l - 141. Is 3 a factor of t(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.2004, 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 + 60\/35. Suppose d*o + 3*g = 13, -2*o + 61 = 3*o - 2*g. Suppose t + a = -2*t + o, -a = -2. Solve t*x + 7 = -4*r, 5*x + 10 = -6*r + r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 600\/(-110) + 13 + 1 + -8\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144153 and 207?\nAnswer: 3315519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-40) - 14\/(-8). Determine m, given that 15 - 70*m**x - 170*m**3 + 125*m**5 - 7 + 75*m**4 + 45*m - 10 - 3 = 0.\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 7. Let b = -456 - -468. Calculate the least common multiple of b and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 124854359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -10*i - 12. What is the common denominator of -70\/3 and ((-1)\/3)\/(i + (-548)\/(-174))?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 4*v - 24. Let c be d(-10). Suppose -3*y + c = y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5313 and 6861429?\nAnswer: 528330033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 2c80?\nAnswer: -2c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o + 3. Let h be y(0). Suppose h*u + 16 = -4*w, 6*w - 3*u = 9*w + 12. Let m(v) = -3*v + 2. Let a(f) = 7*f - 5. Give w*a(g) - 9*m(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313*b + 122 = -252*b. Let k(i) be the second derivative of 1\/48*i**4 - 20*i - 1\/4*i**b + 0 + 1\/24*i**3. Factor k(r).\nAnswer: (r - 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1255361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -175\/6 + 119\/3. Let b be 21\/18*22 - 3\/(-9). Suppose -b = -2*u - 6. Is u smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 51*q - 236 = -22, 4*l + 2*l - 4*l = -4*q + 64 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**(-12\/19)*(i**(-2\/7)*i)**(-7\/4))**9 assuming i is positive.\nAnswer: i**(-963\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 10*x + 8. Suppose -5*d - 2*b = -82, d = -0*d - b + 17. Let m be z(d). What is m rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13537 + -13541. What is the closest to 0.07 in b, 4\/17, 6\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2557, 4402, 6247, 8092, 9937?\n\"Answer: 1845*k + 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 11 = -64. Suppose 0 = 3*i - 5*b - 2032, 0*b + 5*b = w*i - 3370. What are the prime factors of i?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4*h - 55, -6*h = -10*h. What is the remainder when (0 - 0)*1 - -43 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 70 = 14*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 741.\nAnswer: 2964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/17 - 1722132*z\/17 - 1722130\/17 = 0. Calculate z.\nAnswer: -861065, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yypyyypy. Give prob of picking 2 y and 2 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1 = -3*p + 5, 4*p + 5 = z. Let n be z\/(-1)*(-19 - -20). Suppose -5*o = -b - 125 - 899, n*o = -4*b + 619. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2079, -1350, -609, 144?\n\"Answer: 6*v**2 + 711*v - 2796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 11:05 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/18)\/(2\/276). Find the first derivative of -58 - 7*b**4 + x + 15*b**4 wrt b.\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5911279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10977192661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x + 2 - 233*x**2 + 13 + 235*x**2 to the form i*x + t + a*x**2 and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m**2 - m. Let r(c) = -c**2 + 2*c + 1. Let l be ((-3)\/(-1))\/(30\/20). Let v be r(l). Suppose -5*q - w - 2 = 5, w - v = 3*q. What is t(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 12*x - 1. What is the units digit of c(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 9*o**2 + 5*o - 10. Let f be k(-9). Let n = f - -221\/4. Put n, -12, -3 in descending order.\nAnswer: n, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02981 and 12387.381476.\nAnswer: 12387.411286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 3857?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccv when three letters picked without replacement from vicibbbvbici?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144 + 40 - 48)*(3*i + 0 + 0)*(-i - 4 + 4).\nAnswer: -408*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4*z, 0 = -6*q + 7*q + 5*z + 6. Find the common denominator of 8322\/5040 + q\/7 and -101\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -1995 (c) -0.2 (d) -307\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3*9\/1. Let f = 8 + u. Let s(d) = -d + 4*d - f*d + 3*d. Let i(t) = -t. Give i(s(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3.7, 456\/5, -1.\nAnswer: -3.7, -1, 5, 456\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 12*g - 3. Let c(j) = -6*j + 2. Let o(b) = -7*c(b) - 4*q(b). Let u be o(-1). Solve -s = u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211431 - 211432. Let x = 11 - 15. Let b = -0.06 - 2.94. What is the fourth biggest value in f, 3, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140424765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 17*k**2 - 16*k - 18. Determine x(16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 38\/6 - (3 + 0 + -4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1338 + -1337.6. Let t = 179 - 169. Which is the closest to -1? (a) 0.2 (b) 3 (c) t (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 820 and 32540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.0164, 2\/13 in descending order.\nAnswer: 2\/13, 0.1, 0.0164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + -2*sqrt(252) + sqrt(84)\/(sqrt(108) - sqrt(12)))**2.\nAnswer: -3803\/4 - 115*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*((-704)\/154)\/16?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**3*w**3*x - o**3*w**2*x - 2*o**2*w**2*x**2 - 7*o*w**3 - 2*o*w**2 - 52*w**3*x**2 + 30*x wrt w.\nAnswer: 6*o**3*x - 42*o - 312*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 9 + 9)*(2 + 4 - 5).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, h: 1, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 519629 to the power of 1\/2, to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19287 + -19162.37. Let m = 124 - u. Round m to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2 = -4*p, -2*y = -3*p + 6. Suppose z + z = y. Solve z*v + 6 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4043*h**2 - 8129*h**2 + 4072*h**2.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(144) + sqrt(4)))**2 - (sqrt(5)*-1 + 1 - sqrt(5)).\nAnswer: -44\/49 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -343337 + 115.846\nAnswer: -343221.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 5. Let r = c - -4. Let l = 0.2 - -0.2. What is the closest to -2\/3 in r, l, 1\/10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225255 = -3*i - 6255. What is i rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10344 and 72.\nAnswer: 31032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g. Let s(j) = 4*j - 15. Let x(o) = o. Let p(l) = -s(l) + 5*x(l). Let b be p(-8). Let a(n) = 6*n. What is b*k(m) + 2*a(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 4:55 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077037 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, z: 2, c: 2, r: 2}. Give prob of sequence drcz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obo when three letters picked without replacement from oboooqbqooobbowbrbo.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -8) + 13 + -52 + 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = 7 + 57. Let c be (o\/12)\/(4\/(-1758)). Let d = c + -14. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6795 and 1661?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-10))\/(21\/(6300\/30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/15)\/(-20*(-36)\/(-1800)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54470 and 4472?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 381 (b) -2 (c) 5 (d) 4 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1403 + -1364. Solve -j*q = -43*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3118, -5076, -7032, -8986, -10938, -12888, -14836?\nAnswer: -16782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-6)*-22 - -1. Suppose -6 = 3*v, j = f - 0*f + 4*v. Solve 0*n + f = -5*n - 2*w, -2*w = 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66358093 plus 10058893?\nAnswer: -56299200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 407347 < 407290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1469, 5860, 13171, 23396, 36529, 52564?\nAnswer: 71495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454.1738 days in minutes?\nAnswer: 654010.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4782, 19111, 43006, 76479, 119542?\nAnswer: 172207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/32 and 83\/264?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49934 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: Calculate prob of picking 1 w and 2 g when three letters picked without replacement from gwggw.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11633\/7050 + 107\/75. Let l = -1712018\/3 - -570679. What is the common denominator of l and k?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 488\/17, 0.15, 8\/11, -4?\nAnswer: 488\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4090492992 to the power of 1\/2, to the nearest integer?\nAnswer: 63957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c**(1\/8)\/c))*c*c**(2\/23)*c**(1\/5)\/(c\/c**(-2\/3)*c) assuming c is positive.\nAnswer: c**(-6223\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -3. Suppose z*p + 15 = 5*h - 0, 0 = p. Solve -h*w = -11 - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 57527?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 343\/42 + ((-10)\/12)\/5. Let i be 833\/35 - u\/10. Suppose 3*c = 8 - i. Put -29, -3, c in descending order.\nAnswer: -3, c, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3001 - -3000.98133. Round b to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904304 is divided by 301361.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Suppose 24 = t*v + v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40028988883786 - 40028988883786 - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 58491*h**3 + 17*h**2 - 17*h + 2. What is the thousands digit of o(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1081 equal to 584.47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 s when three letters picked without replacement from uusssssuusuu.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w. Let x(o) = 6*o**3 - o - 1. Let l be x(-1). Let m(a) be the second derivative of 11*a**3\/6 + 34*a. Calculate l*m(v) - 34*c(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*c - 12 = -142*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9735 - 0.5735. What is the closest to 0.2 in o, -66.9, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 1. Suppose -14 = -4*g + 10. Let w(t) = -t**2 + 8*t - 9. Let m be w(g). What is the smallest value in -1, m, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890 divided by -518?\nAnswer: -445\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -34*y + 3\/2*y**3 + 3\/8*y**4 - 2*y**2 + 0. Give h(-6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5 - 54412*y**4 - 1362524*y**3 - 3761060*y**2 - 3652216*y - 1199264 = 0.\nAnswer: -22, -1, 13628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1072\/3 - 352. Calculate the common denominator of g and 31\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**2*q**2 + l**2*q - 3*l*q + 902*q**2 wrt l?\nAnswer: 2*l*q**2 + 2*l*q - 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 609 + -630 - (0 + -12 + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 840 divided by 20\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/924 and 71\/2772.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from ssfsffsffwffsffffsfs.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.062, -0.22 in ascending order.\nAnswer: -0.22, 0.062, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 t when four letters picked without replacement from tctcctcttt.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1334120 + 2213110?\nAnswer: 4102230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 c when three letters picked without replacement from {s: 3, c: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from dcddpmvdndmcc?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 1:15 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(567) + 0 - sqrt(1008)\/sqrt(9))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9}. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -m - 11, -2*m + 3*h = -5*m - 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*d - 2. Let h be -2 - ((-34)\/6 + 40\/(-30)). Suppose -h*m + d*m = -102. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*u + 1, -5*b + u - 14 = -3*u. What are the prime factors of 2\/(3\/b - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 4. Let a = p + 2. Solve -t - 3*v - 6 = 0, 5*t + 3*v - 6 = -a*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -266 - -168. Let u = 199 - 395. Let r = c - u. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-114)\/9 + -2)*-3. Let t = 60 - i. Find the third derivative of -10*d**2 - 4*d**2 + t*d**4 + 49*d**2 wrt d.\nAnswer: 384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 4*d + 2. Let x = -19 + 16. Let s be z(x). Let t = 4 + s. Solve -2*o + t = -4*v + 2*o, 8 = 4*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 11*d**3 - d**3 - 1 - 9*d**3 - 3*d**2 - 2*d**3. Suppose t = -h - 2*t - 2, -4*t = 0. What is l(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111292 is divided by 88.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -1.2525527.\nAnswer: 2.7474473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286302 is divided by 143123?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145621200.\nAnswer: 2, 3, 5, 121351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 greater than 3135\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -295167648279 minus -1.81?\nAnswer: -295167648277.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1000000001?\nAnswer: 1000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 8 = -3. Suppose -4*n + 28 = 5*z - z, n - 15 = -3*z. Suppose -2 + 18 = z*l. Put l, i, -4 in ascending order.\nAnswer: i, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdfqdqff. What is prob of sequence qq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 546 - 102?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + d = -0*h + 23, 2*d = 4*h - 14. Let j be h\/(-2*((-10)\/(-12))\/5). What are the prime factors of (9\/j)\/(0 - (-1)\/(-46))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10064\/(-89947) - 2\/(-39) - (-358)\/462?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11*w - 1089223. Let h(m) = -4*m. Calculate l(h(g)).\nAnswer: -44*g - 1089223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 83*l**3\/3 + 394*l**2 + l + 398. What is the first derivative of p(d) wrt d?\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.648913 kilograms to micrograms.\nAnswer: 9648913000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.3 + 16. Let p = b - -2.29991. What is p rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299636851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1520.998 and -0.09802005?\nAnswer: 1521.09602005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f - 20. Let h be p(8). Let r(n) = n**2 + 3*n + 4. What is the remainder when r(h) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -625 + 20*m + 625 in the form f*m + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1642894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c**3 + c**2 + 7*c + 32. Let t be z(-12). Let g = 24307 - t. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 7*g + 13. Let t(b) = -2*b**3 + b**2 + 2*b. Let l be t(2). Give y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19098666139 and 3603.\nAnswer: -19098662536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28578 + 6a?\nAnswer: -2850a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50 and -4?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*x**4\/3 - 8708*x**3\/9 + 176*x**2\/3 = 0. Calculate x.\nAnswer: -132, 0, 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -558 + 561. Solve 0 = -2*r - 2*z - 6, f*r - 3*z - 2*z = 31 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2276*p + 2. Let c be u(-1). Let h be 2\/(-8) + 9066\/(-4). Let k = c + h. Find the common denominator of k and -107\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 19394*f**2 + 7562412*f - 744797592.\nAnswer: (f - 18998)*(f - 198)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86990 is divided by 1021.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6359.255 litres to millilitres.\nAnswer: 6359255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*l = -91, 2*l = 2 + 4. Let j = v - -50. Let y be (2\/4 + j\/1)*0. Is -9\/7 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 3:50 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 571 + -328. Let k = -47 + h. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 53*n = 58*n + 47194, 2*k + 4*n - 47158 = 0. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**4\/12 + q**3 + q**2\/2 - q. Let y be u(-6). What is the units digit of 4\/(4\/3) + y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 10. Suppose 0 = s + 3 - 8, 3*s + 33 = -4*l. Let m be (-14)\/(-3)*18\/l. Give p(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -68?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 706 or -397?\nAnswer: 706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/45)\/(4\/30))\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(9\/6)*3\/(-2). Let f be (4 + -1)*b - 8. Let d(j) = 3*j**3 + 5*j**2 + 5*j - 5. Let y(z) = -2*z**3 - 4*z**2 - 4*z + 4. Calculate f*y(c) - 4*d(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a = -134*a + 2896 - 828 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1402, 2629, 3856, 5083, 6310?\n\"Answer: 1227*u + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (308\/11)\/(49\/(-56)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -638440, -638442, -638444, -638446, -638448?\n\"Answer: -2*a - 638438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 4. What is j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 259?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 5 - 2)*(j**4 - 3*j**3 - 4*j**4 + 4*j**4) + 16 - 16 + 4*j**4)*(-3 + 3 + 3) to i + g*j + x*j**4 + o*j**2 + p*j**3 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/(21\/66672*8).\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -679 - -640.72. Let y = -0.28 - u. Let l = 37 - y. Which is the nearest to 2? (a) -2 (b) l (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**6\/720 + p**5\/40 - p**4\/6 - p. Let o(z) be the third derivative of a(z). Find the first derivative of o(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 5*q - 6.\nAnswer: (q - 1)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (30900\/1545)\/(((-16)\/(-10))\/(-2))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1110 = -4*a, 3*u = a + 1302 - 177. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 75 = j, 2*c = -16*j + 17*j + 39. Are 19 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-0.0184.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m - 100. What is u(-9)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5887 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14155*p - 536*p + 1103139 for p.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (396\/(-462))\/(4\/14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 8680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**4\/8 + 8*f**2 - 8. Let b(g) = -4*g. What is a(b(o))?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 2*k + 6. Suppose -63*p + 12 = -59*p. Give t(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79*-6843854\nAnswer: 540664466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 6*c**2 + 7*c - 6. Let o be v(5). Let l(z) = -z**3 + z + 4. Let w be l(o). Let q = 114 + w. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40320\/(-220))\/16)\/(3*1\/(-22)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4537632 nanometers in kilometers?\nAnswer: 0.0000000000004537632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3124 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 3. Let j be q(5). Suppose 5*x = -4*v - v, 2*v - 6 = 4*x. Sort j, x, 3.\nAnswer: j, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 679941.99 and -463981.\nAnswer: 215960.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.92 + -0.28. Let j = -54 + 54.1. What is the fourth biggest value in z, -0.5, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = -4*r + 22*n + 3292, -5*n = 5*r - 4120. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + 25. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 3*q - 27 = 15*v, -4*v = 4*q - 4. Solve -9 = g + 2*z, -g + 4 = v*z + 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181549 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 47*y**2 - 49*y**2 - 1)*(0 - 2*y + 0) + (3*y**2 + y**2 - 3*y**2)*(8*y + 0*y - 5*y) + y**3 + y + 0*y**2 + 0*y**2.\nAnswer: 8*y**3 + 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/10*(-25)\/10. List the prime factors of h - (-39)\/(9\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 15*z - 18. Suppose -4*h = -z*h - 34. Suppose 2*d + h = 4*d. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h - 2*p + p + 709230 = 0, 8 = 4*p. What is the ten thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -ca9?\nAnswer: -ca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9253474.\nAnswer: 2, 17, 127, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - ((2 - 3) + -10). Find the third derivative of -w*v**4 + 3 + 3*v**2 + 11*v**4 - 3 wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*r = 462*r + 17119 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2 - 37*x - 34. Let c be u(-7). Calculate the highest common factor of c and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 216384.\nAnswer: 1947456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 528? (a) -3 (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -311013222330 (base 4) in base 7?\nAnswer: -226234551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 3:43 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 3*o**3 + 4*o**3)*(-312*o**2 + 9038*o - 9038*o) + 0*o**5 + 5*o**5 - o**5.\nAnswer: 316*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -888*m + 904*m = 6419937 - 1633649. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 11:46 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*y + 324*y**2 - 2*y + 30*y to the form b + p*y**2 + g*y and give p.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -210. What is the highest common divisor of 63 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.34 and -19.\nAnswer: -44.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1253*z**3 + 130668 + 130675 - 261343.\nAnswer: -1253*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -5. Let x(h) = 12*h - 14*h - 1 - 3. Calculate x(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/13 - 2333748*a**3\/13 - 4667480*a**2\/13 + 9334992*a\/13 + 18669952\/13 = 0. Calculate a.\nAnswer: -1166872, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -247 + (0 - -1) + -4. List the prime factors of (0 - o\/4) + (-4)\/(-8).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -216 (b) -4 (c) -2\/11 (d) -2\/21 (e) -12\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by 112.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-5))\/(2\/(-4)). Let y = 831.1 - 831. Which is the closest to y? (a) h (b) -5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w + 24*w + 6*w - 117*w - 108*w in the form c*w + i and give c.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6734 + -0.3334. What is the closest to 1 in 1\/4, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 17*j**2 + 170*j + 59. Let w be r(-24). Solve 10 - 54 = -w*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -414 - -436. Suppose 4 = 26*q - x*q. What is the smallest common multiple of q and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/28*-15)\/((-1119)\/(-1492)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j. Suppose j*q + 15 = 5*q. Let t = -13 + 22. Solve 0 = -q*s + t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324302613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4507*a**2 + 2*a - 16. Let s(q) = -5*q**2 + q - 8. Calculate -2*n(y) + 4*s(y).\nAnswer: 8994*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -11 - 7. Suppose 3*z - z - 5*n + d = 0, 3*n = -3*z + 18. Let v be 53\/4 + z\/4. Solve 5*j + 1 = -v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6163 + -1664. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 71585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -2. Suppose 3*t = 3*f - 0*t - 3, a*f + 2*t = 40. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/15)\/y)\/y*y*y**38*y**(-1\/4)\/(y\/(y*y**(1\/12)*y)) assuming y is positive.\nAnswer: y**(377\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/10*((-5825400)\/(-266))\/219.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 6. Let q be n(-6). Suppose 0*g - g - 5*v - 7 = 0, -g - 4*v - 5 = q. Find the second derivative of -2*y**3 + 3*y**g + y**3 + 3*y**3 + 24*y wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**3\/3 - 2*s**2 + 5*s + 2. What is the units digit of x(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3123 + -2167. What are the prime factors of p?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 6 + 41)*(-4 + 2*s - s + 3).\nAnswer: 44*s - 44","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*a = 24, -4*a - 57 = -3*b - 3*a. Let w = b - 17. Suppose 0*n - 6 = -3*n. Solve -w = n*y + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 12:25 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 143, -79, -307, -541, -781?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/23))\/p*p\/(p*p*p**(-10)))\/((p\/(p*p**(-4)))\/p**(-1\/13)) assuming p is positive.\nAnswer: p**(1459\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 d, and 1 p when three letters picked without replacement from {p: 8, l: 4, e: 1, k: 1, d: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) + 15\/6. Suppose u*q - 3*q + 5 = 0. Find the first derivative of 0*d**2 + 2*d**2 - 3 + q wrt d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 12:58 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/9, -10.2, -5, -2\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182 - -11.099.\nAnswer: -170.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005411751 rounded to seven decimal places?\nAnswer: 0.0005412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -2. What is the closest to 13 in q, -3\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from ryooirgoroodyy?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(9\/(-21)))\/(3\/324). Calculate the highest common divisor of 63 and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxey when four letters picked without replacement from {x: 2, f: 6, n: 1, m: 5, y: 3, e: 2}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 1baa0eda?\nAnswer: -1baa0ed9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 72306898787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + (1 - -5) - (8 + 0)) + (-3 - 34).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20600, -83551, -188850, -336497, -526492, -758835?\n\"Answer: -21174*f**2 + 571*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1005624328?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*u - 3*u**2 - 51*u + 94*u - 2 in the form f + s*u + c*u**2 and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) + 242\/66. Suppose 4*y + 0*c - 26 = 2*c, f*y - 3*c = 25. Solve 3*u = -4*d + y, 3*u - 19 + 6 = -d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-7 - 0) + (7 + -15 - -18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t + 4*t - 1 - 69 - 43 + 6 in the form m*t + z and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.612 + 0.048. Let f = -81 - -80.54. Let m = u + f. What is the nearest to 1 in 3, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1226 - -2699. What is x rounded to the nearest ten?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75529957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + (-83 - (-140 + -76))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -593757, -593756, -593755?\n\"Answer: j - 593758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:13 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1230 and 697?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12247, 12235, 12223?\n\"Answer: -12*c + 12259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/60 + o**4\/6 - 5*o**3\/6 - 3*o**2. Let f = -14 - 1. Let j = f - -9. What is z(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/5 + 159*z**2\/5 - 3119*z\/5 + 2877.\nAnswer: -(z - 137)*(z - 15)*(z - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4909478.6 - 10963.4.\nAnswer: 4898515.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 6*c**2 + 65.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 17.97. Let h = 0.17 + p. Let k = -26.6 - -27. What is the second smallest value in h, k, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5059*v**2 + 10*v**3 - 2*v**3 - 3*v**4 + 5011*v**2 wrt v?\nAnswer: -72*v + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 11142312423?\nAnswer: 11142312413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -60. Let q = p - -9. Let h = q - 22. What is the highest common factor of 187 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 6 = -9*f, -419*f = -415*f + n - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4458*x**2 - 3122*x**2 + 7582*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, 7.99, -2, 0, 5, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/4 - 7\/(-28). Suppose 3*h + 2*q - 425 = 3*q, 0 = i*h - 5*q - 292. Let f = h + -88. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102099349.8 milliseconds in weeks?\nAnswer: 0.1688150625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**3 - 26*r**2 - 4*r**3 + 27*r**2 - r**4 - 3*r to the form i*r**4 + v*r**3 + j*r + u + k*r**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74860149*k**3*p**2 - 748*k**3*p + 52852*k*p + p**2 wrt p.\nAnswer: 149720298*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a - 504 = -27*a - 56*a + 2330 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 0.044 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.453 - -2.453. What is the third smallest value in -2, z, -0.44?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5840 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 303*z**3.\nAnswer: 303*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*k*o**2 + 127*k*o - 172*k + o**2 - 368 wrt o?\nAnswer: -76*k*o + 127*k + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4446 + 62?\nAnswer: -4364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1416553531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-30) - 1017676\/(-10). Suppose -3*y = 5*d - k, 2*d + 3*d = -2*y + 101767. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 3562*a**7\/21 - a**4\/12 + 829*a**2 - 6228*a. What is the third derivative of b(g) wrt g?\nAnswer: 427440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1)*(-179 - 249 + 148)*(-2*m - m + m) to o*m + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(2*sqrt(200)).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4197, -2, 3?\nAnswer: 4197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence memf when four letters picked without replacement from {m: 2, f: 1, e: 1, d: 4}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105385882213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 6) in base 14?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d = -281 + 78. Let x(t) = t**3 - 8*t**2 + 7*t - 7. Give x(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k**2 - k)*(5 + 1 - 4) + (0*k + 14 + 4*k - 13)*(2 + 2*k - 2).\nAnswer: 10*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, -0.22, 2 in ascending order.\nAnswer: -0.22, 0, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96328477 is divided by 447.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 851 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-6 + 2) - (-11 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Find the third derivative of c*v**2 - v**2 + v**3 - 3*v**2 wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25.9 and 14?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 39*d + 45*d - 46.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 326 (b) 2\/13 (c) 9.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-68))\/((-5)\/280)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -113355*h**2 - 3 + 4 + 13355*h**2 - 3. Let k be p(6). What is k rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 0.002, -3, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 59, 101, 145, 185, 215?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77631548 to the nearest integer?\nAnswer: 8811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14*2\/8*(-1156)\/(-34391)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*x**2 - x**2 + 24*x**2)*((1 + 2 - 2)*(0 + 1 + 1) + (-7 - 6 + 22)*(2 + 1 - 1) + 3 - 1 + 0).\nAnswer: 792*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -26. Solve -o = r*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -40*i**2 - 15*i - 62. Let q(g) = -21*g**2 - 8*g - 31. Let c(w) = -6*o(w) + 11*q(w). What is the second derivative of c(l) wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q*q\/(q\/(q**6\/q))*q)))**(-9\/8)*q**8*q**(9\/2))**47 assuming q is positive.\nAnswer: q**(329\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4026253um to nanometers.\nAnswer: 402.6253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3773 + 3241. What are the prime factors of t?\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*a - 585, -4*a = 5*h - 2*h - 372. Let f be (14 - 11)\/((-9)\/h*1). Which is smaller: f or -165\/4?\nAnswer: -165\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from robtbroottbbbbort. What is prob of picking 1 b, 1 r, and 1 o?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 186840, 184929, 183018, 181107?\n\"Answer: -1911*v + 188751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40288 divided by -717.\nAnswer: -40288\/717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -8*f + 5*w - 53, -5*f = -w - 119. What is the remainder when 165 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/6 + q**3\/6 - 5*q**2\/2 + 5*q. Let o be c(-3). What is the second derivative of -l**2 - 2*l**2 - 17*l**2 + o*l wrt l?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Suppose 2 = -0*g - 4*g - 5*d, -w*d - 4 = 0. Differentiate n**2 - n**2 + n**g - 1 with respect to n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -11. Let f be -1 + m\/((-15)\/12). What is the second derivative of -2*w + 0*w + 7*w**5 + f*w**5 - 4*w**5 wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/11 + 20*f**3\/11 - 64*f**2\/11 + 76*f\/11 - 30\/11 = 0. Calculate f.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 0 - (-3 - 1). Suppose p*k = -u + 38, -k - 10 = -3*u + 111. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -15\/4*l**4 + 0*l + 14 + 19\/2*l**2 + 0*l**3. Find the second derivative of r(x) wrt x.\nAnswer: -90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svss when four letters picked without replacement from {h: 1, s: 3, r: 11, v: 1, a: 1, k: 2}?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53452437 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/120 + 2*i**5\/15 - i**3\/6 + i**2. Let l be c(-8). Let m = 3 + l. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1276906788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((5 + sqrt(9)\/sqrt(3) - sqrt(12)*-5)**2 - sqrt(768)*2).\nAnswer: 78*sqrt(3) + 385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5633 < -5631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158684237 to the nearest integer?\nAnswer: 12597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 3*m - 3*m - 75*m**2.\nAnswer: -75*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 327396478.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13, -51, -121, -229, -381, -583, -841, -1161?\n\"Answer: -c**3 - 10*c**2 - c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 33*t - 11. What is p(33)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127 - -130. Which is the nearest to 2? (a) 2 (b) -3 (c) f (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 7*y - 7. Let z be l(-5). Suppose 5*w - z*q + 29712 = 0, 10*q + 17828 = -3*w + 12*q. What is w rounded to the nearest 100?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**4\/8 - 38*t**2. Let n(s) = -24*s. What is c(n(m))?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -207.6 and 27329.\nAnswer: -5673500.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 2*v + 0*v)*(0 - 1 + 0) + 1 - 1 + v + (-244 + 138 + 139)*(-v - 4 + 4).\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*f - 7 = 0, -n = -4*n + 3*f + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*l - 103 = -87, -7 = -u + l for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5971 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 4, s: 4, i: 2}. Give prob of picking 1 p and 2 k.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 2*d**2 + 13 + 3*d**2 to the form n*d**2 + r + k*d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 395731*k**2 - 159110 wrt k?\nAnswer: 791462*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -10*v**2 + 23*v + 25. Let r be m(3). Which is the closest to 0? (a) 5 (b) r (c) 4\/9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 17*y**2 - y - 65. Suppose -4*j + d - 62 = -2*d, 3*j + 49 = d. Let u be i(j). Put -2, u, -1, 5 in decreasing order.\nAnswer: 5, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r**2 + 2*r**2 - r**2 + 1)*(-6000 + 2168 + 2958) to j*r + l*r**2 + k and give l.\nAnswer: -4370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a day in minutes?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*f**2 + 54*f**2 - 18*f**2 - 6 + 2*f**4 as a*f**2 + j*f**3 + p*f**4 + b*f + z and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4300)\/(-1125) + -5 + 1. Let b = v + -2\/9. What is the fourth smallest value in -3\/2, b, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 1109 = -223*i, -119*z - 3*i - 11 = -117*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -76\/3. Suppose 5*t + 3659 = 4*o + 3676, o + 23 = -5*t. Which is the third biggest value? (a) -2 (b) 0.3 (c) t (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11201200102 (base 3) in base 8?\nAnswer: -265630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 4. Let c be h(-3). Suppose 0*n = -c*n + 10. Solve -5 = m - n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -370870 + 642321. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ucdtcuxucccuuctxcx.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 28 = 2*x, -3*x - 4*o = -0*x - 70. Let j be (14\/x - -1) + -2. Is 2\/7 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = l + a + 23, -5*l = -5*a - 25. Let m = 13 - l. Solve -3*b = -5*b - f + 4, 6 = 3*b + m*f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-6))\/((-38)\/(-19)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from kqkk?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 133*q**2. Let r(u) = -3*u**2. Calculate r(x(h)).\nAnswer: -53067*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2 + (-2 - 3 + 4)*(-2 - 1 + 4) + 8350 - 6216 - 4181)*(z**2 + z**2 + 0*z**2) as u*z + y + c*z**2 and give c.\nAnswer: -4098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37551.\nAnswer: 3, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13142342001 (base 5) to base 16\nAnswer: -f9cf2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335160 = -6*q + 4*q. Suppose -21*p = -q + 3507. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51934?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 14*t**3\/3 - t**2\/2 - 266*t + 43. Differentiate g(w) with respect to w.\nAnswer: 28*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-11004)\/32 + (-2)\/(-8). Calculate the highest common divisor of 43 and r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22941 - 1353521\/59. What is the fourth smallest value in n, 0.5, -1\/3, -11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67130 = -9*z + 631837. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131 - 122. Suppose 0 = 2*m + 2*s - 3*s - 12, 28 = 5*m - 3*s. What is the lowest common multiple of u and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*r**3 + 5 + r**2 - 70*r**3 - r**2.\nAnswer: -134*r**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjjjjmsqjjqmmj. What is prob of picking 2 m?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 - 25*s + 39. What is the remainder when 495 is divided by z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 674 = -584 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -886055 + -2?\nAnswer: -886057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -9*j**5\/20 + 7*j**4\/4 - 5*j**3\/2 + 3*j**2\/2 - 7*j + 1. Let b(m) be the first derivative of l(m). Factor b(g).\nAnswer: -3*(g - 1)**2*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) + (-92)\/(-12). Let j(q) = 6*q + 44. Let u be j(-6). What is the highest common divisor of u and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1665\/2 - 7\/(-14). Let o = -27104 - -27121. Calculate the greatest common factor of x and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5484 - -5485. Which is greater: 66\/193 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 14325*r**2 + 426138*r - 4327440.\nAnswer: 3*(r - 8)*(r + 38)*(r + 4745)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u**3 + 8*u**3 - 53*u**3 + (-171 + 171 + 38*u)*(-2 + 2 - 2*u)*(0*u + 4*u - 2*u).\nAnswer: -191*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - f - 1 - 7, -2*x + 24 = 2*f. Let g be (-51)\/(-15) + x\/(-25). Factor 0*m**2 - 4\/7*m**4 - 2\/7*m**5 + 0 + 0*m - 2\/7*m**g.\nAnswer: -2*m**3*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10481299*g**5 + 3*g**2 + 2966*g + 138?\nAnswer: 628877940*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2\/19, 3, 1\/4, 36929, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, h: 1, r: 1, j: 5, e: 5}. What is prob of sequence ejr?\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 1 + 24 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -662.\nAnswer: -662.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/6*(-18)\/(-15). Suppose -z - u = -3*z. Solve 5 - 1 = z*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 + 240*p**3 + 244*p**2.\nAnswer: -4*p**2*(p - 61)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2034\/12*2\/3. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28270 - 28262. What is the smallest value in 1, -3, 0.2, b, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 315\/(-420) - (-18)\/40?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2, z + 0*q = -4*q + 6. Let l(b) = -b**3 + 13 - 3*b**2 + 24*b**2 - 13*b - z*b**2. Let j be l(4). Is 1\/3 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.033 in -4, 3, -2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -321*s**3 - 1139*s + 899*s**3 + 2 - 1145*s + 2284*s to p*s**2 + u*s**3 + k*s + m and give u.\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l**2. Let k(o) be the third derivative of 0 + 0*o - 2*o**2 - 1\/60*o**5 + 0*o**3 + 0*o**4. Calculate f(k(i)).\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 4*a = 4. Suppose -12 = 4*y, 0 = -6*x + x - 3*y + 6. Is x at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 3. Suppose -4*q - 5*s = -373, 3*s = -2*s + g. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 37*x + 396 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6999 + -3325. Suppose 5*i - 3675 = -5*x, 5 = 5*i + 4*x - w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 8472 + 8469 + 8469 - 33878 + 8468 - 13*z**2.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 2. Suppose 0 = 4*b + 3*v - 9, -4*b - 2*v = -2*b - c. Calculate the greatest common divisor of b and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597081480.\nAnswer: 2, 5, 19, 2101423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**4 - 2*v**4 - 2*v**4)*(280 + 107 - 32227*v + 32225*v).\nAnswer: -4*v**5 + 774*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**1*h**9\/h*h**(-15)*h*h**(-2\/49) assuming h is positive.\nAnswer: h**(-247\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 985.484061 to the nearest 10.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 - 31 + 171 - 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - 52. Suppose -5*t - 5*k = -4*k - i, 0 = -t + 3*k + 21. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -35, -78, -139?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/(-2)*20\/(11 - 1). Sort 5, k, 0 in descending order.\nAnswer: 5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m. Let i be c(5). Let z(n) = 196267 + 19*n - 196238 - 20*n. What is the remainder when 35 is divided by z(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 3*r**4 + 5*r**2 + 5. What is the second derivative of h(n) wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 - 38\/57. What is the third smallest value in -6, 1\/3, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfr when three letters picked without replacement from {r: 9, f: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(19) + sqrt(19)*1*2)*3)**2.\nAnswer: 18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a**2 + a**3 + 0*a**2)*(3 - 2 - 2) + 1 + 3*a**3 - 1 + a**3 - 2*a**3 + 2*a**3)*(-3 + 2 + 2).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4 - -8) + 0)\/2. What is the third derivative of 101*u**5 + 344*u**f - 14*u + 17*u - 351*u**2 wrt u?\nAnswer: 6060*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiwwiw. Give prob of sequence ii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 11*l + 4 + 0*l + 4*l + 5*l. Let n be s(4). What is the highest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21120211 (base 3) to base 12\nAnswer: 324a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1\/55 (c) 657\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08, -97, 43, -0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -5*w, -3*t = -0*w + 3*w + 15. Let y be 4*(-2 - 0)\/w. Suppose -28 = -x - 0*x + 3*g, y*g + 72 = 4*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -500486 by 2.\nAnswer: -250243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21048486 and 30562?\nAnswer: 4366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 58 = -3*g + 299, -2*l + 4 = 0. Calculate the highest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43563 is divided by 14331?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-7))\/4*(-5160)\/(-43).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2635 = 12*c - 5141. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 63\/4 - (-15)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31a (base 12) in base 8?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 + 9323705*k\/2.\nAnswer: k*(k + 9323705)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.12. Let o = w + -4.08. Let q be (-30)\/168 - 12\/(-28). Put o, q, 0.3 in increasing order.\nAnswer: o, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - sqrt(21)*1)*1 - (sqrt(21) - sqrt(105)\/sqrt(5)*1))\/(sqrt(27)*-4 + sqrt(3) - sqrt(75)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 6\/5*k**2 - 2\/5*k**3 + 8\/5*k + 0 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*t. Let s = 8 + t. Calculate the remainder when 28 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 12 = 5*t + s, 287246*t - 287242*t = -31*s + 162 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 16*u + 72. Determine i(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/78*159\/(-106). Which is the nearest to m? (a) 4 (b) -4 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -57. Suppose 0 = f - 3*r - 21 + 5, -2*f - r = -67. Calculate the remainder when f is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3823754, -3823739, -3823724?\n\"Answer: 15*x - 3823769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 5, 12, 21, 32, 45?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*(-12)\/40?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -33*r**3\/2 - 147*r**2 - 390*r - 324 = 0.\nAnswer: -54\/11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -730*p - 2898. What is z(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**5\/60 + 8*o**3\/3 + 765*o**2. Let x(a) = 15*a**2. Determine n(x(u)).\nAnswer: 225*u**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -33. Let l = u - -11. Suppose l = 4*t - 11*t + 15421. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l. Let p(y) be the second derivative of y**6\/180 + y**3\/3 + y**2\/2 + 4*y + 11. Let x(m) be the second derivative of p(m). Give x(f(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let j = 1.6 + -2. Which is the smallest value? (a) j (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 2120.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18334221 a multiple of 684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*k - 52, -k = -9*n + 12*n + 32. Let z(r) = -39*r - 5. Let v(j) = -20*j - 2. Let o(q) = -5*v(q) + 3*z(q). What is the units digit of o(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4107864 to the nearest integer?\nAnswer: 2027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143676 is divided by 2612?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**3)\/a**0)**(-32))**(-1\/10) assuming a is positive.\nAnswer: a**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-110)\/(-8) + -2)*8. Suppose -i = -x - 92, -i + v - 6 = x. Suppose -36*k - i = -38*k. What is the highest common divisor of 60 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -892 = 149*l + 1293 + 348 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -38. Suppose 3*x - 3 = 3*p, 4*p = -x + 4*x - m. Let f(o) be the first derivative of 2*o**3\/3 + o + 7. Let n(h) = h**2. Calculate x*f(w) - n(w).\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a. Let s be (5 + -4)*-1*1. Let x be t(s). Solve j = -4*g - 24, x*j = -2*g - j - 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89\/42 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -11 - 7. Let p(b) = -b**2 + 4*b + 7. Let y be p(6). Let x = y + i. Solve 3*f + 3 = 2*l + 11, -l + x = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + b?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5095, -5341, -5771, -6403, -7255, -8345, -9691?\nAnswer: -11311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 217*a**3 - 215*a**3 + 0*a**2 + 2*a**2 + (0*a**2 + 3*a**2 - 5*a**2)*(0*a - 2*a - a) as w*a**3 + v*a + p + y*a**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-40) - (-3)\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/14*2 + (-25)\/7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1050045 (base 8) to base 14.\nAnswer: -75021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 19*l**2 - 7*l - 7. Let i be o(9). Calculate the highest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/((h**(-2\/5)*h)\/h))))**(1\/2)*(h\/(h*h**7))\/(h*h**(3\/7)*h) assuming h is positive.\nAnswer: h**(-611\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**8\/14 - 4*h**7\/21 - 5*h**4\/6 + h**3\/6 - 6*h + 4. What is the third derivative of k(t) wrt t?\nAnswer: 480*t**3 - 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/7 + (-3)\/14*2\/1. Suppose 2*x + 3*x = 0. Is l at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9686390 to the nearest integer?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -1\/6, 61?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 401197501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/24 + (-1)\/(84\/22)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8308 = 2*m - 2*d, 3*m - 4169 = 4*d + 8291. List the prime factors of m.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6)*0\/23.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2163111 to the nearest integer?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -19 - (12 + 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 32 = -3*m - 5*d, 3*m = 3*d + 48. Suppose -42 = 4*p + 30. Let a = -13 - p. What is the remainder when m is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (27\/6)\/(33\/88). Solve 3*y - 6*y + a = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -6*t + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5247\/689)\/((-744)\/(-3224))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3375607, 3375614, 3375635, 3375676, 3375743?\nAnswer: 3375842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 3*q + 87 = 0, -6*q + 11*q = -2*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 i when three letters picked without replacement from {y: 2, p: 2, h: 1, j: 1, i: 2, r: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3227909 is divided by 4678.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*c = 10, 10 + 9 = 3*d + c. Solve 4*m = -2*l - 24, 6*m - m + 35 = -d*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 40084?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*l*w**4 - 97*l*w - l + 2*w**4 - 3761 wrt w.\nAnswer: 24*l*w**3 - 97*l + 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a*a)**(-28)\/((a*a**6\/a)\/((a*a*a*a**2)\/a*a*a)))**(-46) assuming a is positive.\nAnswer: a**2576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(6\/5))**(-3\/13) assuming p is positive.\nAnswer: p**(-33\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101110000?\nAnswer: -101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.2. Let p = 17.1 - 16. Let o = p - -2.9. What is the closest to x in o, 1\/8, 0.4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*v - 21 = 0, -4*w + 124*v - 24 = 126*v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*d + 140*d = -616. Let p = 24946\/81 - d. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 0.022059574534142.\nAnswer: 0.322059574534142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p\/(p*p**(-5\/2))*p*p)\/p*p*p)\/(p*p**(3\/4)))\/(p**(1\/6)*(p\/p**(-4\/7)*p)\/p) assuming p is positive.\nAnswer: p**(337\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 4. Let m = 4168 + -4165. Give q(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 31, 1, 11, -1 in descending order.\nAnswer: 31, 11, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/320 and 91\/800?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 50 times -14\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*w + 23, 3*y - 16 - 3 = 5*w. Sort 2, -1, y, -258 in descending order.\nAnswer: y, 2, -1, -258","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/33 + 94\/165. Let t = -14891 + 15549.65. Let m = t + -659. Put m, 0.1, z in decreasing order.\nAnswer: z, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 859861859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -3 + (7 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -832475, -3329864, -7492179, -13319420, -20811587, -29968680?\nAnswer: -40790699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqv when three letters picked without replacement from {p: 3, r: 1, q: 3, b: 3, v: 1, a: 2}?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 = -2*n, 7*i = 3*n + 3*i + 4. Solve n = 6*u + 3*u + 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*v = -49*v + 28*v - 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2940, -3941, -3014, -165, 4600?\nAnswer: 11275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -3 (c) 1\/46 (d) -2 (e) 1.67 (f) -2\/9 (g) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggvvgrvgkg. Give prob of picking 1 g and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 35*v**2 - 2*v - 1. Let n be u(-1). Calculate the common denominator of 1 - 3\/(n\/165) and (-2)\/8 - 366\/(-40).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 68076 + 15856. Suppose -14*k - j = -18*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110 (base 6) in base 15?\nAnswer: 6d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 9:00 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3713 - -29619\/8. Find the common denominator of -35\/118 and r.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/684 + (-56)\/19\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001717253003 to 7 dps.\nAnswer: 0.0017173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = b + 4*p - 121, 0 = -b - 2*p + 158. What are the prime factors of b?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a hour?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 1, f: 2, e: 1}. Give prob of picking 1 f and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-288))\/((-700)\/(-75) + -9).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 5 - 4)*(-4216*o + 4216*o - 60*o**3) in the form k*o**2 + x + t*o**3 + z*o and give t.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 1:39 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 9)*(-85)\/51. Put j, 183, -5 in decreasing order.\nAnswer: 183, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l**2 - 131*l + 16. Let j(o) = -19*o**2 + 238*o - 29. Let w(m) = -6*j(m) - 11*s(m). Give w(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**4 + 27*b**2 - 35*b - 3.\nAnswer: 60*b**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i. Let r(m) be the third derivative of 55*m**4\/24 + 138*m**2. Calculate o(r(v)).\nAnswer: 165*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 148905*a**2*z**3 - 118255*a**2 with respect to z.\nAnswer: 446715*a**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/28*16\/(-48))\/((-192)\/336)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 53713580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + r - 4 = 0, 0 = 1978*o - 1977*o + 4*r + 41 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - y**2 + 5*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 8*m - 12. Let f be (-969)\/(-39) - 4\/(-26). Suppose 0 = -m*h + 20 + f. Calculate the highest common divisor of 105 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(-7) + (-204)\/238. Calculate the highest common divisor of k and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:00 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7652 is divided by 763.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -24*x**2 + 5*x + 44. Let g(o) = -19*o**2 + 7*o + 44. Let d(c) = 5*g(c) - 4*t(c). Determine m, given that d(m) = 0.\nAnswer: -11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1820 and 57820.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Let b = 5 - t. Let z be ((-1)\/18)\/((-3)\/12). Is b greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuooooooon. Give prob of sequence nooo.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/5)\/t)\/(t\/t**33)*t\/(t\/((t**(-41)*t)\/t)*t*t*t)*t**(-4\/21) assuming t is positive.\nAnswer: t**(-1469\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 441.15 + -445.15. What is the third smallest value in 0.04, d, 2, 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 525 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 54 - (1299 - 1282).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 407285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 2*p**2 + 5*p + 4. Is 7 a factor of l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57834 = 60*v - 106686. Calculate the remainder when v is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 555805 and 1335?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16354 = -5*j, 1 = j + 3. Let u = -2472 + m. Let q = 22591\/14 - u. What is the common denominator of 97\/10 and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + sqrt(147) + 1 + 3 - (3 + sqrt(147) + (sqrt(147) - -1*sqrt(147))))**2*1.\nAnswer: -14*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 5*y - 55. Suppose -3*q + y - 2 = 0. Solve 0 = -2*x + 7*x, -x = -3*k - q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -130, -179, -228, -277?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 631255277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 892685 - 667729675\/748. Let l = 3\/748 + d. Find the common denominator of l and 10\/17.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - y. Let x = -42 - -43. Let g(k) = 0*k - 2*k - k**2 - 6*k**2. Let n(a) = x*g(a) - 3*m(a). What is the second derivative of n(i) wrt i?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 27160.\nAnswer: 27160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 2*t + 12. Let i(y) = -6*y**2 + 11*y - 66. Let c(q) = -2*i(q) - 11*o(q). Let l(b) = 407*b**2. Give c(l(p)).\nAnswer: 165649*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11e (base 16) to base 5\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z = 2*v - 1459 + 1339, -z = -v + 2*v - 12 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/42)\/(1\/(-7)) + 21*11\/(-77)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108028553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (40\/(-6))\/(6\/(-27)). Let r = 80 - d. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 4452164*f.\nAnswer: 4*f*(f - 1113041)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44848446 divided by 6.\nAnswer: -7474741","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {a: 2, c: 7, r: 1, q: 10}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 45. Let r be (-33)\/u + 1\/2. Solve -4*x + 0 = k + 5, 0 = -r*x - k - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ddeaxaedkeee.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8705 or 8710?\nAnswer: 8705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 6416 + 7137 + 7537. List the prime factors of j.\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0 - (6 + 0)) + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30\/7*p**2 + 48\/7*p**3 + 4\/7*p + 0 + 32\/7*p**4.\nAnswer: 2*p*(p + 2)*(4*p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, q: 3}. What is prob of sequence qqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 236*t + 94853. What is r(448)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 61*v**2 + 9. Suppose -15*k + 94 = 4. Let a(g) = -30*g**2 - 4. Determine k*f(x) + 13*a(x).\nAnswer: -24*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (7 - 2) - 15. Let l(i) = i**2 + 7*i - 6. Determine l(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -10*n - 8. Give a(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 5. Let u = 27 - 133\/5. Which is the nearest to l? (a) 5 (b) u (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42598082?\nAnswer: 2, 21299041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 7*a + 4. Let l(y) = 20*y + 1 + 0 + 21*y**2 + 10 - 27*y**2. Let d(s) = s**3 + 10*s**2 + 10*s + 3. Let o be d(-9). What is o*l(q) + 17*x(q)?\nAnswer: 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.16 (b) -106 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132.98*-8473.\nAnswer: 1126739.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2330.9987696 - 2331. Round d to 5 decimal places.\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k**4 - 8560*k**3 - 6092*k**2 + 2440*k = 0. Calculate k.\nAnswer: -305, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 8*o**2 + 2*o + 7. Let d be v(-4). What is the second smallest value in d, 4, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 + 4*v**4 - 3*v**4 + (4*v + 0*v - v)*(-4*v**3 + 2*v**3 + 3*v**3))*(93331*v - 89878*v + 3 - 3).\nAnswer: 17265*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 926240 to the power of 1\/2, to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 f when four letters picked without replacement from {p: 2, f: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.2 + 0.2. Let r = -141.4 - -141. What is the nearest to 2.8 in -5, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 362 from -4829.75.\nAnswer: -5191.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-10))\/((-1)\/(-5)). Suppose 0 = -2*p + 2*g - 6*g, 32 = 2*p - n*g. Let o(s) = 2*s**2 - 9*s + 9. Is o(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2363.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/((-33)\/(-33))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 28 = -0*i. Let z = i + -26. Which is the nearest to 0.3? (a) -2 (b) -2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-590))\/(160\/(10 - 8)). Let r = y + -10609\/129800. Calculate the common denominator of -21\/121 and r.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 + 63 - (-9 + -17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 60\/16*(-2 + 6). Let f = w - 7. List the prime factors of ((-38)\/f)\/((-16)\/64).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(684) - (sqrt(684) + sqrt(684) + 5*1*sqrt(684)))*4.\nAnswer: 864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 309 + -413. Let x = 10 - 20. List the prime factors of (-12)\/30 + t\/x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32023 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2. Let t(w) = 830935 + 386*w - 830935. Give j(t(o)).\nAnswer: 148996*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4 + 1916*i**3 - 3852*i**2 - 1916*i + 3848 = 0.\nAnswer: -481, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000135213142 rounded to seven decimal places?\nAnswer: 0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 4*u + 4. Let t be n(4). Suppose 0 = j + t*r - 837, 3*j - 3*r = -4*r + 2544. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3223205016.\nAnswer: 2, 3, 134300209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3.4. Let i = -0.3 + z. Which is the nearest to 0? (a) 21 (b) 2\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/31770 and 67\/156?\nAnswer: 826020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxwlxxjx. Give prob of picking 1 s and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgbbbbgbbbb. What is prob of picking 2 b and 2 g?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1, 1\/6, -182?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37842976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (6 + 3 - (7 + 1)) + 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 450 + -439. What is the remainder when 120 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1991 times -3\nAnswer: 5973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14261 + 312?\nAnswer: 14573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/29)\/t)*(t\/(t**(2\/15)\/t)*t)\/t)\/(t**(-2\/7)*t\/(t*(t\/(t\/(t\/(t*t\/t**(-1\/9)))))\/t)) assuming t is positive.\nAnswer: t**(19277\/9135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(1\/3)*m*m*m)**7*((m**5*m)\/m)\/((((m\/((m*m\/m**(-3\/7)*m)\/m))\/m*m)\/m)\/m*m*m) assuming m is positive.\nAnswer: m**(919\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2 + 13. Let b(q) = -17*q**2. Calculate m(b(l)).\nAnswer: -1156*l**4 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 28*w**2 - 45*w - 1. Determine j(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2*(-2)\/(-10))\/(7\/(-1470)). Let q be 4\/(16\/z)*(-2)\/(-26). Is q greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/24 - 5685*w**2. Let b(n) = -8*n - 2. Let j = -20 + 30. Calculate j*c(z) + b(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-85))\/((-19)\/95) - (-3)\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**2 - 2*n**2 - 79*n**4 - 1 - 69*n**4 + 147*n**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.2988998 rounded to 1 decimal place?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.095869 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 5*l - 10. Let j be z(5). Sort -3, 3, j in ascending order.\nAnswer: j, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10 - 45. Calculate the greatest common factor of a and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*y = 402. Let p = -60 - y. Let b(m) = -2 + 3 + 0*m + 4*m. Let r(q) = -13*q - 4. Give p*b(j) + 2*r(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*r - 5*r + 0*r)*(-5*r + 2*r + r) in the form g*r + f + t*r**2 and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 42 = -6*c + 2*c, 2*c - 3*k - 28 = 0. Suppose a = c - 4. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 51. Suppose -l + 3 = 4*x, 2*c + 3*x + 9 = 0. Suppose c*z + 4*z - 140 = 0. What is the remainder when z is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15072 - -68065. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.971 - 208.6.\nAnswer: -209.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 54166073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 4125.\nAnswer: -1\/4125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60871 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1053948 and 59\/448?\nAnswer: 16863168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -8 (c) 20 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -18. Let a(p) = -10 + r - 9*p + 4. Let b(y) = -13*y - 6. Calculate -7*a(n) + 5*b(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*r - 20942 = 10*r, -r = 2*w - 10480. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2 + 4\/((-16)\/(-1142)). What is the highest common factor of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52691 - 517645. Let q = h - -134954. Round q to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5193, 5189, 5183, 5175, 5165?\nAnswer: 5153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 11:02 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4 + 1 - 6 - w**2 - w. Let f(l) = 20*l**2 + 15*l + 15. Suppose 8*n = 4*n + 60. Let g(j) = n*o(j) + f(j). Let z(h) = 2*h. What is z(g(v))?\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 25*t**8\/672 + t**7\/12 - 43*t**6\/80 + 13*t**5\/120 + 13*t**4\/6 - 4*t**3 - 992*t**2. Determine b, given that q(b) = 0.\nAnswer: -3, -1, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -6, 3\/5, -1\/2.\nAnswer: -6, -4, -1\/2, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -5630.24\nAnswer: -5630.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*r**2 - 142*r**2 + 614*r**2.\nAnswer: 765*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -46. Let g = -32 + d. Let s = 725 - 730. Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/5)*y)\/y**(1\/6))\/(y*y*y*(y*y**(1\/4)\/y*y)\/y)**25*((y**(-4)*y)\/((y\/(y**(-4)\/y))\/y))\/(y**(-7)\/y**3) assuming y is positive.\nAnswer: y**(-4657\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l + 13. Let g be o(5). Suppose 108 = 4*y + 8. Let c = y + g. Which is smaller: c or -23\/3?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -35*g - 10. Let v be y(-1). Let l = v + -127\/5. Put 2, l, 0, -1\/4 in ascending order.\nAnswer: l, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1248)\/(-234))\/(-2 - 114\/(-27) - 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*2\/(-16)*0. Suppose 4*v - 3*v - 9*v = u. Solve v + 0*r - 1\/2*r**3 - 1\/4*r**5 + 0*r**2 - 3\/4*r**4 = 0 for r.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 115*h. Let k(j) = -19*j. Calculate -4*i(y) - 23*k(y).\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 726802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15447 is divided by 129.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5247)\/583 + 214\/(-9) + 0. Which is smaller: r or -32?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2049 and -19\/2211.\nAnswer: 1510113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1833 - 1784. Let b be (3\/1 - 6) + 7. What is the remainder when b\/(-10) + 4362\/30 is divided by w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 292, 5, -1\/6, -273, -2.\nAnswer: -273, -2, -1\/6, 5, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*b**4 + 0*b - 2\/9*b**5 - 10\/9*b**3 + 0*b**2 + 0 = 0 for b.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/18*6\/8. Let y = -6.1 + 5.1. Put 0, r, y in decreasing order.\nAnswer: r, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414137629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -665042*r**4 - 30*r**3 + 8*r**2 - 7*r + 361809 wrt r.\nAnswer: -15961008*r - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.1, 75, 22, -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59975?\nAnswer: 5, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + 2285\/375 + 3\/(-9). Are u and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*z**5 + 7*z**4 - z + 133 wrt z?\nAnswer: -540*z**3 + 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -442.9 rounded to the nearest 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 22624380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 353, 346, 335, 320, 301, 278, 251?\n\"Answer: -2*z**2 - z + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r**2 - 8*r**2 + 12*r**2 + (-2 + r**2 + 2)*(-4 + 4 + 1) + r**2 + 3*r**2 + 2*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - 47. Let d = 3225 + -3221. Sort d, a, 2 in decreasing order.\nAnswer: d, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294295680 a multiple of 4055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-249 + 68 + 124)*(-5416 + 5416 - 86*u) as t*u + i and give t.\nAnswer: 4902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/249 and -55\/6.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -218 (base 13) to base 11\nAnswer: -2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57.9 + 58. Let u = -3061 + 3060.9. What is the closest to z in 1\/2, -0.048, u, -1?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.07 - 15. Let h = 4 + -9. What is the smallest value in -4, h, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - n - 1 = 0, -9*q - 2 = -5*q + 2*n. Solve q*f = -4*f - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 5:55 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*n**5 - 8513*n**4 + 8513*n**4 + 4*n**2 + 237*n wrt n.\nAnswer: 300*n**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316 a factor of 22614334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, -18, 0, -57 in descending order.\nAnswer: 99, 0, -18, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 23. Find the third derivative of -3*s**2 - 17*s**2 + 3*s**h - s**6 + 7*s**6 wrt s.\nAnswer: 1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 284 and -541.46?\nAnswer: -153774.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424, -428, -436, -448, -464, -484?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3381*l. Let x(r) = -217*r**2. Determine n(x(h)).\nAnswer: 733677*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419184463?\nAnswer: 419184463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4186 - 4185.999991312. Round f to 7 dps.\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16468, -32965, -49498, -66067, -82672, -99313?\n\"Answer: -18*t**2 - 16443*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 69*o - 852. Calculate c(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (9 - (-11 + 15)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 - -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 3*u = -3, 7 = -a - 2*u. Let y be (4 + 0)\/(-4 - a). What is the units digit of (-184)\/y - (-4 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 411029.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -7 + 4 + (-66)\/5*30\/(-12) and 666.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/(-20))\/(3\/10). Let b(o) = 2*o - 10. What is the units digit of b(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 28 - 13*o)*(3 + 3*o - 3) - 12*o + 4*o**2 + 12*o + (-o + 5*o - o)*(-2*o + 0 + 0) to the form x + w*o**2 + f*o and give w.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.012 (b) 0.3 (c) 0.4 (d) 1320.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 10:52 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 32244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121*y - 121*y + 102*y**2)*(-2 + 2 + 2*y)*((7 - 1 - 4)*(0*y - y + 2*y) + (-2 - 1 + 1)*(5*y + 14 - 14) - 3*y + 2*y - y).\nAnswer: -2040*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-6))\/(-12)*-6*2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3916.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 4. Let j be n(2). Calculate the least common multiple of 6 and (-11)\/j - (-2)\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + 0 + 0 - 2*r**2 + 4*r**2 - r**2 - 1 + 1 + r**2 + (-1 + 1 + r**2)*(-3 + 3 + 2) + 2*r**2 + 0*r**2 - 3*r**2 - 6*r**2 + r**2 - 3*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s - 24. Let p be ((-6)\/18)\/(1\/s). Solve v - 5*l - 27 = 0, -6*v + 5*l = -p*v - 33 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43671*j**2 + 3889*j - 3889*j.\nAnswer: -43671*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-181 - -175)\/(231\/(-12) + (-37 - -36))\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.107 - -0.193. Which is the closest to z? (a) 2 (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 856071, 856090, 856129, 856194, 856291, 856426, 856605?\n\"Answer: p**3 + 4*p**2 + 856066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -31 (c) 1\/4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**3 + 8*o + 6. Let x(h) = -5*h**3 - 7*h - 5. Let i be 5\/(-3)*480\/(-200). Calculate i*w(j) + 5*x(j).\nAnswer: -j**3 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -14, -5 in descending order.\nAnswer: 4, 2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831267 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.7 - 0.7. Let b = -8 + l. Let a = -0.099 - -0.119. What is the closest to b in a, 3\/2, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k. Let t(n) = -275433658*n. Calculate t(p(m)).\nAnswer: -550867316*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/4 + 11 + 0. Let d be (-8 - -3)*(2 + -3). Suppose 9 = 3*y, 2 - 7 = 2*x - d*y. What is the highest common factor of x and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 394002, 1 in descending order.\nAnswer: 394002, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(3*t**4 - 4*t**4 - 3*t**4)*(1 - 1 - 3) + (-t**4 + 4*t**2 - 4*t**2)*(0 + 3 - 4).\nAnswer: -11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*a - 38, 4 - 3 = -2*p + 3*a. Suppose 0 = -3*i - p*i + 1880. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 - 431*q**3 + 2*q**2 + 433*q**3 + 2*q - 4*q**2 as s*q**3 + w*q**4 + v + y*q + n*q**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, e: 2, n: 1, b: 1}. What is prob of picking 1 b and 3 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c**2 - 2*c - 3. Give o(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10783\/2271940 + 4\/2245. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, -4, 0, -7.\nAnswer: -7, -4, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2321 - -2354. What is the remainder when 150 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 6 = -9*k. What is the second biggest value in -1, k, 7, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 10*h - 7. What are the prime factors of i(-9)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/17? (a) -0.05 (b) 1924 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -30. Which is the smallest value? (a) 17 (b) 1 (c) -1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 - 2*p**2 + 2*p**2 + (-p**4 + 0*p**4 + 3*p**4)*(-1 + 1 - 2) + 18*p**4 - 2*p**2 - 9 + 3*p**2 + 12.\nAnswer: 13*p**4 + p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 419, 413, 403, 389?\n\"Answer: -2*i**2 + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -1 + 1 + sqrt(242) + 3)**2.\nAnswer: 72*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69018689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -7, 266, -5 in descending order.\nAnswer: 266, 3, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4797647, -4797611, -4797545, -4797449, -4797323?\nAnswer: -4797167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -70.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-31746)\/(-52) - 12)\/((-6)\/(-112))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 5*t. Let o(h) = -h**3 + 13*h**2 - 11*h - 7. Let i be o(12). Suppose 13 = 2*k + i. Is 2 a factor of u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16020043 to the nearest integer?\nAnswer: 4003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(5 + (-2*sqrt(1400))\/sqrt(2)).\nAnswer: -60*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226.801 rounded to the nearest integer?\nAnswer: 3227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (193 - 91 + 122)*(-6 + 4 + 1)*(-6 + 6 - 5 + (-1 + 3 - 1)*(3 + 2 - 4))*(-r**2 + 4*r**2 - 5*r**2).\nAnswer: -1792*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 659*q**2*y**3 - 40*q**2*y - 19*q**2 - 14675*q*y + 12*y**3 - 2 wrt q.\nAnswer: 1318*y**3 - 80*y - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/161175 and -29\/20874.\nAnswer: 160207950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a week?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 4*u - 20, 0 = -i + 24*u - 21*u - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*m**3 + 5\/4*m**2 + 7\/4*m + 3\/4 = 0. Calculate m.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*8 + 6\/(-3). Suppose -t - t = -h. Suppose -j + 3*l + 1 = -17, 0 = -t*j + 2*l + 19. Solve o = -j*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 178, 180, 184, 190?\n\"Answer: s**2 - s + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 178654218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 - -1) - (-1 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**2. Let h(a) = 2*a**2. Let j be (-6)\/10 - (-92)\/20. Suppose -9 = j*c - c. What is c*z(d) - 10*h(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 7 - (-12 + 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dndrrdzzzdndr. What is prob of picking 1 n, 1 z, and 2 d?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1043 + 962 = 116*a + 2587. Sort -3, -7, a, -4.\nAnswer: a, -7, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 12 - 3)*(-67*a + 15 + 7*a - 11) in the form b*a + u and give u.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 172322 + 51738287.\nAnswer: 51910609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = x + 4*a, -4*x + 325 = -65*a + 62*a. Solve x = -5*y + 105 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/28 and 77\/300.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n + 3 + 1 + 0*n. Let b be 1*(9 + -4 + -2). What is r(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2729\/1908 + -3\/212. What is the common denominator of h and -9\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -18*t - 20*t + 30*t + 14. Suppose -10 = -2*x - 28. What are the prime factors of s(x)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/14, 3, 398635 in increasing order.\nAnswer: -1, -1\/14, 3, 398635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 753 - 753. Let u(q) be the second derivative of b*q**3 + 1\/2*q**4 - q + 0 + 0*q**2. Let k(h) = 2*h. Calculate k(u(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -324, -502, -680?\n\"Answer: -178*a - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*(sqrt(1620) + 0 - sqrt(1620)))**2 - (-2*sqrt(1620))**2*-2).\nAnswer: 12965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 9*h**3 + 87*h**2 + 51*h - 27 = 0.\nAnswer: -9, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7686 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 5*m**2 + 28*m**2.\nAnswer: 23*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + sqrt(285)\/sqrt(125))\/(sqrt(363) + sqrt(363)*4)*-1.\nAnswer: -6*sqrt(19)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14019\/4 - -3522. Let o = w - 215\/12. What is the second smallest value in 5\/13, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lalghabogalglgogol. What is prob of sequence oobl?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l - 11 = -2*p, -p + l = -4. Sort 0.2, 8, p, 0 in decreasing order.\nAnswer: 8, p, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*l + 2*h = 1, 21*l - 4*h = -7*h + 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-52)\/(-39))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 61254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.1, 165?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 56*k**2 - 330*k + 170. Give u(20).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + 5 + 9*c - 3*c**3 - 11*c + 10*c**2 + 26*c**2 - 2 in the form f*c + s*c**2 + o + k*c**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 5*a + k, 3*k - 93 = -2*a - 99 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3994445.\nAnswer: 5, 7, 13, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = n + 2*a, -3*a = -2*n - 5*a - 6. Let m(i) be the third derivative of 0 + 0*i + i**2 + 1\/6*i**3 - 1\/60*i**5 + 1\/24*i**4. Give m(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. Suppose r - t - 12 = -5*u, r = -3*u + 7. What is the units digit of ((-20)\/16 + u)*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11*u**2 - 1. Let x(m) = -714*m**2. What is o(x(q))?\nAnswer: -5607756*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 3*g**2 + 4*g**2)*(-3*g - g - g) + 595*g**2 - 23*g**3 - 595*g**2.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170230 = 175*x - 512*x + 1856578. Calculate the least common multiple of 684 and x.\nAnswer: 95076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + f + f + 0*f**3)*(-628 + 84*f + 628)*(1 + 4 - 3).\nAnswer: -504*f**4 + 336*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v = 0. Determine y so that v*y - 4\/5*y**3 + 0 + 2\/5*y**2 - 6\/5*y**4 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -53, -111, -191, -293, -417?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20 = -3*t, 2*t - 22 = -t - 2*p. Let r = -1 - -3. Is r*(-4)\/t*-6 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. Suppose 2*b = r*g - 18, 2 = -3*b - 1. Sort g, 1, -4 in descending order.\nAnswer: g, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2)*b)\/b)**(3\/20)\/((b\/(b\/b**(-8))*b)\/(b**(-4)*b)) assuming b is positive.\nAnswer: b**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one fifths of a centimeter?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + 11.3. Let y = l - 17. What is the closest to 0.2 in -0.2, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-328)\/(-112) + -3)*(-14)\/2. Which is the biggest value? (a) 38\/11 (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1448, -4, 4, -3, 0 in decreasing order.\nAnswer: 1448, 6, 4, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4\/2 + 1015*s**3\/4 + 11409*s**2\/2 - 37513*s\/4 - 12167\/2 = 0.\nAnswer: -23, -1\/2, 2, 529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11893555.\nAnswer: 5, 2378711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46252 - 19786 = -53*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.33819+577\nAnswer: 577.33819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 237*l**5 - l - 50?\nAnswer: 4740*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1876 from -716.\nAnswer: -2592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 1033504?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-360)*-6 - 11\/(-15) - (-495)\/(-1425)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -5*q + 15 + 11 + 13, -75 = -13*q - 3*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + 7*i**2 - i - 2. Let s be q(3). Sort -11, 5, s in descending order.\nAnswer: 5, s, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 - l**3 + l**3 + (-4*l**3 + 3*l**3 + 3*l**3)*(68*l - 3*l**2 - 36*l - 41*l) + 2*l**5 - l**5 - 4*l**5.\nAnswer: -11*l**5 - 18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 13. Calculate the least common multiple of 4 and l\/3 + (1 - -12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/(-12) - 1\/(-4). Let r be 40\/(-6)*(-3)\/j. Let h(b) = 2*b**2 + 13*b + 10. Let i be h(r). Round i to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 207975 or 207973?\nAnswer: 207973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 3*y**2 - 12*y + 13. Does 63 divide x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17946.633 months to decades.\nAnswer: 149.555275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 9. Let n be c(5). Let g be 81\/45 + n\/(-5). Suppose t = -g*t + 9. Put -4, -1, t in decreasing order.\nAnswer: t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfzdjqjjd. Give prob of picking 1 z and 1 f.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-10*(-6)\/120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyllyl. What is prob of sequence ylly?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -723 times -0.52\nAnswer: 375.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9*29294\nAnswer: -263646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0.07, -1, -306?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7012 (base 9) in base 6?\nAnswer: 35402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 3 - 3)*(-q + 0*q + 0*q).\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 44*n + 783. Give r(-20).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38, 118, 272, 506, 826, 1238, 1748?\n\"Answer: d**3 + 31*d**2 - 20*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 20. Let i be k(9). Suppose -r - 2*x - 2*x = 11, -13 = i*r + 5*x. Let m(s) = 13*s + 1. List the prime factors of m(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18602, -36994, -55384, -73772, -92158?\nAnswer: -110542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-18\/7)\/(m\/m**36)*m*m*m**(-8)\/m*m*m*m**(-7\/12))**(-11\/5) assuming m is positive.\nAnswer: m**(-4961\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -260146?\nAnswer: 520292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 52 = 5*b, -2*m + 46 = 4*b - 0*m. Suppose 3*a - 9 = 0, -3*a + 25 = 4*o - 52. Suppose b = p - k - o, p - 5*k - 40 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**2 - 2*t - 40. Let y(m) = -6. Calculate q(j) - 5*y(j).\nAnswer: 7*j**2 - 2*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 3580?\nAnswer: 358b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 5*z - 2. Let t be d(-5). Let h(q) = -q**3 + q**2 + q - 1. Give h(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 - 9.19757\nAnswer: -9.15757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/(u*u**(-4\/5)*u))\/((u*u**1)\/u**10) assuming u is positive.\nAnswer: u**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/15 and 23\/110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/840 and -53\/2042945?\nAnswer: 343214760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*w = -96*w + 54873. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s - 15*s + 11*s**3 - 9*s**3 - 4*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**3\/3 - 5*c**2\/2 - c - 5. Let g be q(-4). Solve 2*p = p + g*x - 17, -x + 29 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(567)*5)**2 + sqrt(567)*4*-1 + sqrt(567).\nAnswer: -27*sqrt(7) + 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -1943, -5004, -10125, -17804, -28539, -42828, -61169?\nAnswer: -84060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2810 divided by 2\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 263 - 244. Suppose -4*g = 4*o, 2*o = q*g - 14*g. Let z(t) = -t + 3. Give z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*q**2 + 0)*(8*q**3 + 49 - 49).\nAnswer: 16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 214201 and 49049?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -93 (b) 2\/17 (c) -6745\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 148 + -144. Let q(l) = l + 18. Let i be q(-8). Suppose i*d - 4 = 9*d. Solve d*x = -2*j + 6, -8 - 4 = -4*j - h*x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k - 2. Let p be m(2). Suppose r - 5*s = -s - 17, p = 4*s. What is the least common multiple of r and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 143 + 2530 = 119*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169\/5 - 1789\/55. Calculate the common denominator of j and 2\/(((-176)\/156 + 1)*-4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 16. Suppose 4*m - 52 = 2*d, -26 - 84 = 4*d - 5*m. Let w = d + 41. Calculate the remainder when s is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 9. Suppose c*a - 9 = -0*a. Suppose 5*r = -4*l - 0*r, -4*r = -4*l. Solve s - 1 + a = l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + 11 + (0 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/3)*h)**(5\/4)\/((h\/(h*h**(-5)*h))\/((h*h\/h**(-5))\/h)) assuming h is positive.\nAnswer: h**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32895606 a multiple of 271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7732.829 - 84.2.\nAnswer: -7817.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2956092144 and 1992?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + 2*m**2 + 2*m + 1. What is the lowest common multiple of x(-1) and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hppppwwwpphppwpppww. Give prob of picking 3 w and 1 p.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4347?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 110838953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -93. Suppose -h*j = -58*j - 4. Is 22 + 59 - (-1 - j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18671097 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 25?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + (-6 - (-6 - -2))) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ififfiyiffffigigff?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 112?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/35, 1\/2, 2\/11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 21*o - 127. Let h be u(-5). Let v(q) = q**3 + q**2 + q + 1. Let r be v(-1). Suppose -y = -r*y - 4. Solve a = y*a - h, a - 4 = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -4*d + 23, -4*v - 35 = -3*d. Suppose 120 = 5*m - 5*g, -g + 4*g = d*m - 110. Let h = m + -12. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 1, 4*t + 4*s = 2*s - 2. Let z be (3 - 2) + (2 - t). Solve 0 = -z*h - h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 5, -0.03, -0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-25)*(-230)\/(-897)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*o = -35, 2*o + 2*o = 0. Solve k*l + 60 = 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 12 = -3*u. Let h(l) = -l**3 - 6*l**2 + 7*l - 7. Calculate h(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 510425 (base 6) to base 3\nAnswer: 2001022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 438.8 and -0.1?\nAnswer: -43.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9030\/(-126))\/43*2\/(-10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 116 = 0. Suppose i = 6*p - 32. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143\/(-390)*-18 + (2 - 9)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/1 - -1)*1. Let h(m) = 30*m - 147. Let r be h(5). Solve t*y + p - r*p = 8, -3*p = -2*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316 - 636 - 32 + 172 - 31*d.\nAnswer: -31*d - 812","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95\/12 - 31\/4. Let a(m) be the second derivative of 0*m**2 + m + 0 + d*m**3. Calculate a(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1951*u + 1947. Let c be t(-1). Let v(z) = z**3 + 2*z**2 - 5*z - 9. Let y(s) = -2*s**2 + 4*s + 8. What is c*v(j) - 5*y(j)?\nAnswer: -4*j**3 + 2*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/11 (b) 2\/531 (c) 0 (d) 5 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - 10)\/((-8)\/(-10) + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-343)\/42 + 4 - -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85136878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*u**2 - 32 + 16 + 16 to the form v*u**2 + t*u + z and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 14 = -16*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -0.3 (b) -6 (c) -2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-147)\/196 - (-35)\/4. Which is smaller: h or 9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-204)\/(-15) - 4*(-3)\/30. Let h(o) = 4 - v + 942*o - 888*o. What is the tens digit of h(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 455 + -450. Solve 4*i - 3 = u, 0*u - u = -h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71940 divided by 14388.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12442.4 times 2\nAnswer: 24884.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31\/242 + 2203\/1694. Which is the nearest to y? (a) -1 (b) -31 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 1:48 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5510*c - 5520*c + 20. Is 50\/73 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-12))\/(6\/(-297)). Solve t = -5*m - 22, -t + 4*m + z - 10 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - 1\/4*-4. Let k(c) = -36*c**2 - 36*c + 16. Let b(y) = -7*y**2 - 7*y + 3. Let f(s) = g*k(s) + 16*b(s). Determine o, given that f(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(9\/(-6)))\/(28\/14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3032*j**2 - j**3 - 9 - 6093*j**2 + 9 + 0*j**3 + 3061*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 893697*l**2 - 66556520085*l - 199677603609.\nAnswer: -3*(l - 148951)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -18 + 9)*(-3 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -16. Let p = a + 23. Suppose 7*n - 11*n + p = 0. What is the smallest common multiple of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 19038?\nAnswer: 209418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000164544759 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -35530 divided by 38?\nAnswer: -935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1688843*v**4 + 25*v**3 + 146943367*v?\nAnswer: 20266116*v**2 + 150*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 18885531?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*i + 22 = 4*a, -2*a + 6 = 4*i. Suppose -a*k = 4*t - 3*k - 26, -5*t + 25 = k. Calculate the lowest common multiple of t and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -10. Let m = 5 - o. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102267, 409058, 920375, 1636218, 2556587, 3681482, 5010903?\nAnswer: 6544850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*n + 144*n + 1240*n + 42640 = 0 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1151919\/140 + 8228. Let s(q) be the third derivative of 0 + 0*q - 1\/96*q**4 - 13\/480*q**6 + 0*q**3 + g*q**7 - 18*q**2 + 1\/30*q**5. Factor s(j).\nAnswer: j*(j - 1)**2*(6*j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6468 is divided by 816?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80412551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmummmvpmvmvmpmu. Give prob of sequence vvpm.\nAnswer: 13\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 217, 250, 305, 382, 481, 602, 745?\n\"Answer: 11*t**2 + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7188 and 317261548.\nAnswer: 2396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40 - -4?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 15*y + 3. Let x be g(-20). Suppose 14*o - 627 = x. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 10*u**2 - 2*u + 11. Let o be p(10). Let g = 12 + o. Solve 3*l = -r + 14, g*l = -0*r + 4*r + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, r: 7}. What is prob of sequence rr?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8712*g**2 - 8579*g**2 + 26008*g**2 - 8712*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432950648.\nAnswer: 2, 13, 331, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 - 2*r - 5. Let z(m) = m**3 + 13*m**2 - 14. Let d be z(-13). Is c(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (15 + -19 - -25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**7\/105 - 7*c**6\/10 + c**5\/60 - 4*c**3\/3 + 2*c**2 - 39. What is the third derivative of k(x) wrt x?\nAnswer: -48*x - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.23262 millilitres?\nAnswer: 0.00323262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5319 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 25 = -2*w - 29, -w - 2 = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 0*f + 6*f - 2*f. Let t(c) = 5*c. Let k(a) = 4*a. Let u be (0 - -1)*(-6)\/3. Let z(o) = u*t(o) + 3*k(o). Calculate z(r(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 1. Let i(q) = 7*q + 4. Let c(o) = -i(o) - 6*x(o). Let d = 113 - 239. Let g = d + 130. Calculate c(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 47*y**3 + 9*y**2 - 177*y - 22. Is x(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 33 - 9 - 12 - 12.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 8*t**3 - 4*t**2 - 6. Let n(z) = z**2 + 1. Let l(h) = -c(h) - 6*n(h). What is the third derivative of l(m) wrt m?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/7 + 2*q**3\/7 - 6*q**2\/7 - 2*q\/7 + 4\/7.\nAnswer: 2*(q - 1)**2*(q + 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 4713?\nAnswer: 4709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*l + 60 = -3*l, -3*p = 2*l + 90. Let y(h) = 6*h**2 - 15*h + 15. Let g(d) = -3 - 4*d - 3*d + 6*d + 4. Calculate p*g(c) + 2*y(c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 5*g - 1. Let z be i(6). Suppose 0 = 4*d + 8, -8*o + 3*o - z*d = -5. Let v = o - -30. Does 33 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 8. Let d(p) = -p + 5 - 6*p - p**2 - 2 + p. What are the prime factors of d(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -29*z**4\/4 + 10*z**3 + 23. Find the third derivative of v(l) wrt l.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, u: 1, e: 2, i: 4}. What is prob of picking 2 e and 1 z?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2715850089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -262124 or 0.1336?\nAnswer: -262124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269377?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -81, -163, -245?\n\"Answer: -82*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 202 - 26. What is the remainder when k is divided by 29 - 2\/4*-2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-36))\/((2079\/(-72))\/7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 15*q. Suppose -4*z + 24 + 24 = q. Let j be 5\/(-18) - (-6)\/z. What is the third biggest value in j, -1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s + 3. Let y be d(-2). Let g = 8 + y. What is the second derivative of -g*j - 3*j + 3*j**4 - j**4 + 4*j wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(2) - (sqrt(8)*2)**2.\nAnswer: -35 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a9 (base 11) to base 15.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*g - 5*d + 4*d, 4*d - 4 = 3*g. Suppose g = 5*z - 1. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105\/38 at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/5481 and -5\/504.\nAnswer: 43848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28892264.82095586885875 - -14.42095521885875. Let v = 28892251 + b. Let r = 0.6 - v. What is r rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k + 4. Suppose 25 = -3*m + 8*m. Let t be l(m). Let s = t + -34. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 215, 662, 1393, 2408, 3707?\n\"Answer: 142*o**2 + 21*o + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, b: 3, u: 2, l: 1, k: 3, q: 2}. Give prob of picking 2 b, 1 l, and 1 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 13*m**3 + 5*m**2 + 5*m + 7. Let x(w) = -14*w**3 - 6*w**2 - 6*w - 8. Suppose 172*q = 14*q + 272 - 1220. Give q*i(s) - 5*x(s).\nAnswer: -8*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -427*n**3 + 6*n + 1776.\nAnswer: -1281*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 15.29?\nAnswer: -61.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l - 37*l - 40 = 0. Let v(z) = 2*z**3 + 3*z**2 - 26*z + 35. What are the prime factors of v(l)?\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*o**2*u + 2*b*o + 2*b*u + 9554*o**2*u + o*u + 2749*o wrt o?\nAnswer: 2*b*u + 19108*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-120))\/(10\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 2*u. Let t be d(-2). Let h = 3 + -3.1. Which is the nearest to 0.2? (a) h (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -252*j + 11*j**2 + 5*j**2 + 250*j as t*j + p*j**2 + y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14121, 14723, 15327, 15933?\n\"Answer: k**2 + 599*k + 13521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 12. Let i(w) = 10*w. Let u = -28 + 29. Let t be i(u). Which is greater: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*l + 12 = 172*l. Suppose 2*s - 2*d - 58 = 0, 3*s - 131 + 16 = -4*d. Differentiate -1 + 5 + s*b**l + 13 wrt b.\nAnswer: 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -435*h**2 - 2682*h - 390. Calculate d(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3) + 2 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8187632 grams in milligrams?\nAnswer: 818.7632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 3*k**2 - 2*k - 4. Let i be c(4). Let x(h) = 81 - 81 - h**3 + i*h**2. Let p be x(4). Which is bigger: -4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321 + 307 = 7*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 2*i**2 + 2*i - 2. Give c(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*k**2 - 132*k**2 - 116886229*k**3 + 45*k**2 + 116886228*k**3 + 44*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 7*t + 228. Let i be a(17). Suppose -295 = 8*f - 3*f. Let s = f + i. Which is greater: s or -2\/147?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 527 - 527 - 58*x**3 + (-x**2 - x**2 + 4*x**2)*(2*x + 2*x - 2*x) - 33*x**3 + 20*x**3 - 43*x**3.\nAnswer: -110*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 145 = -281. Let k = x + 1902. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/9 - 26*m\/9 - 10\/3.\nAnswer: 2*(m + 1)*(2*m - 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1481000 to the nearest 10000.\nAnswer: 1480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233 (base 6) in base 9?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 + 489. Let q = 122 + r. List the prime factors of q.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**3\/6 + x**2\/2 + x. Let k be s(0). What is the third derivative of 1 + 3*j**2 + 4*j**3 - k wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + -3 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-110 - -86) + (-3 - 1) - (-5 - -7)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 15542*w + 714918. Give k(-46).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 + -83. Which is the nearest to -0.1? (a) 0.4 (b) g (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 14*l + 32. Determine j(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 4 - (3 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 7:49 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, s: 1, y: 11}. Give prob of picking 1 f and 2 y.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-17 - (16 - 21))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-3))\/(7\/42). Let h be y\/(-22) + (-10)\/(-55). What is the highest common divisor of 18 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 + 1306*u - 10 - 11 + (-1 - 1 + 3)*(5*u + 0*u - 4*u).\nAnswer: 1307*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10210100 (base 3) in base 7?\nAnswer: 11025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 6*a**2 + 4. Let j(p) = 2*p + 13. Suppose -5*i = 3 + 2. Let s(m) = m. Let g(u) = i*j(u) + 3*s(u). Let h be g(7). Determine q(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1548054 and 3096108.\nAnswer: 3096108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 4*d + 3*d)*(-4*d + 2*d + 0*d + (-6 + 0 + 2)*(-60 + 60 - 14*d)*(-3 + 3 + 3)) as z*d**2 + m*d + b and give z.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 4 (c) 9 (d) 0.04 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -10*d**2 - 194*d - 755. What is m(-30)?\nAnswer: -3935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 26.28 + 3586\nAnswer: 3612.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912023 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*t + 12. Suppose t*a + 42 = 5*r, 0 = -8*a + 3*a - 15. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73631796 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-8))\/((-27)\/(-12)). Let k = -31\/117 + n. Sort k, 0.5, 0.2.\nAnswer: k, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) + 14\/(-8). Let q = -18 - -10. Let l = t - q. Calculate the remainder when 11 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*l + 116 - 125 = 0, 0 = -4*a - l + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 1220986?\nAnswer: 1220986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*b - 5393316 + 5393316.\nAnswer: 144*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 5 + 26)*(-17*t**2 + 8*t**2 + 28*t**2) as g + d*t**2 + p*t and give d.\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1209 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22540.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a - 15. Suppose -2*u + 10 + 12 = 0. What is the tens digit of j(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 13) to base 15.\nAnswer: c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 118 = -3*d + g, -d - 4*g = -28. Suppose -6*i = -9*i + d. What is the greatest common factor of i and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 221*a - 444. What is y(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 18 + 27. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -7*w**4\/8 + 17*w**3\/6 - 11*w**2\/2 + 35*w. Let g(z) be the first derivative of i(z). Differentiate g(u) with respect to u.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1702531, -1702529, -1702527?\n\"Answer: 2*a - 1702533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z**2 - 2*z**2 + z**2)*(82 + 87 + 84 + 27) as d + s*z**2 + x*z and give s.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -395 (base 10) to base 16.\nAnswer: -18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (3 - (6 - 1)) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*((-16)\/6 - -3). Suppose -2*y + 3*j = 3*y, 0 = 3*y + 5*j + 34. Which is the closest to i? (a) y (b) 0.1 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -456831?\nAnswer: 456833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m + 6. Let y = -14 + 10. What is b(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 865, 1890, 3325, 5170?\nAnswer: 7425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 3\/4 (c) 1\/4 (d) -3 (e) 201\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2. Let s be ((-4)\/8 - 1)\/(1\/(-2)). Let j(h) = -34*h + 3. Let z(o) = 67*o - 5. Let q(w) = s*z(w) + 5*j(w). Calculate t(q(r)).\nAnswer: 1922*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (4 - 8) - -11294. Suppose 4*h = 2*t - 0*h - n, 2 = -h. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 38359632*u**2.\nAnswer: 4*u**2*(u - 9589908)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328842 (base 10) to base 16.\nAnswer: 5048a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 23 = 3*r, -4*i + r = -91 + 70 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*k + 3551 = 164*k - 494*k + 214*k for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100011 (base 2) to base 7.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 2:32 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -134281.39225 plus -0.5?\nAnswer: -134281.89225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -330883 greater than -330886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 1. Let q(m) = -163*m**3 - m**2 + 1 + 96*m**3 - 2*m + 88*m**3. Let a(v) = -q(v) + 4*y(v). Is a(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1223 + 124?\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -57746242750 to the nearest 1000000.\nAnswer: -57746000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mllmlmllmmnlmlnmmm. Give prob of picking 1 l and 1 n.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -14*v**3 + 13155*v**2 + 12*v - 216. Let f(j) = -j**3 + 1012*j**2 + j - 16. Give 2*b(h) - 27*f(h).\nAnswer: -h**3 - 1014*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 1. Let o = -11 + 13. Suppose o*s + 4 = -0*s, -5*s - 6 = -t. Give q(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccknkfq. Give prob of sequence ncf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 10*f + 11. Suppose 5*q - 15 = -2*x, f*q - x + 1 + 1 = 0. Let u = 21 - 37. Sort u, -0.4, q in decreasing order.\nAnswer: q, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)*t**(2\/11))**(-7\/4) assuming t is positive.\nAnswer: t**(525\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-456)*414\/92.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094693742 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8d - -365?\nAnswer: 3f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**5\/12 + 10*z**4\/3 - 160*z**3\/3 + 15*z**2\/2 + 33. Let d(g) be the second derivative of a(g). Factor d(s).\nAnswer: -5*(s - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622368068.\nAnswer: 2, 3, 97, 389, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 38*t - 122. What is the hundreds digit of h(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1722 (base 11) to base 5\nAnswer: 32302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Suppose -c*v - 2*v = -8. Let p(r) = -r**3 + 4*r**2 + 7*r - 3. Calculate the smallest common multiple of p(5) and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 1734 = 4*f. Suppose 2*n - 7*n + f = 4*c, 0 = -2*c - 10. What is the greatest common factor of n and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((5 - (-126)\/(-26)) + 285\/(-2106)). Is 119 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/2947, 49, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 + 36*v**3 + 6*v**3.\nAnswer: 36*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 12357\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(0 + 0 - 1). Suppose h - 12 = -2*x, x = 4*h - 3*x + 12. Let f(z) = z + 8 - h - 3*z. Calculate f(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -147 and -216.83.\nAnswer: 31874.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13544688 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 16) to base 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/1356)\/((-8)\/(-80058)). Let r = y - -276\/113. Calculate the common denominator of -37\/6 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114081 is divided by 114078.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*z**3\/9 + 5464*z**2\/9 - 98090*z\/3 + 424252 = 0. What is z?\nAnswer: -734, 51\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(4\/(-54)*54\/36*42\/84).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -62. Suppose -m*x + 5 = -13. Suppose x*n - d + 657 = 7*n, -5*d = 4*n - 2626. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*(k*k*k**(1\/6))\/k)*k*k)\/(k*k\/(k\/((k\/((k\/k**0)\/k))\/k))))**17\/((k\/k**(2\/13))\/k**5*k**(-1\/3)*k**(-3)) assuming k is positive.\nAnswer: k**(563\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 25 = -5*o, 4*o + 9 + 2 = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 1179?\nAnswer: -2358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16112)\/636)\/((-1)\/(27\/(-12)))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 6:29 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -4 (b) -13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o. Let n(b) be the third derivative of 11*b**4\/24 + b**3\/3 + 88*b**2 + 2*b. Give n(f(a)).\nAnswer: -33*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -2) + (-1 - -6) + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/4*(-3 + 1). What is the smallest common multiple of 204\/33 - 2\/j and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and 104.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 19582 = -3*x + 1412, 0 = 4*d + 15*x - 16896. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 9 + d**3 + 8 + 3. Let h(b) be the first derivative of -b**4 + 4*b**3\/3 - 7*b + 86. What is 4*h(n) + 14*j(n)?\nAnswer: -2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5246208 and 4048.\nAnswer: 5246208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/(4 - 75\/20)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 4. What is the units digit of 15\/j - 5\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1280 + -2150. Let z = s + 1777\/2. Calculate the common denominator of z and 67\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.1881 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 4*w + w + (0*w - 5*w + 4*w)*(-16317 - 1064 - 16867 - 35744).\nAnswer: 69991*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205864657 and 3035?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2 - 7570*j + 2855120 = 0. Calculate j.\nAnswer: 712, 802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w + 10. What is t(7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -10*a - 7. Let w(f) = 52*f + 36. Calculate 16*u(d) + 3*w(d).\nAnswer: -4*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3662 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1339, -2885, -4603, -6493, -8555, -10789, -13195?\nAnswer: -15773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 0. Let a = -6382 + 140369\/22. Find the common denominator of a and (-7)\/i*(-186)\/(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -14*a**3\/3 + 2122*a**2 - 1512*a - 1816\/3 = 0.\nAnswer: -2\/7, 1, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 3)*(0 + 2*p + 0)*(-3 - 7 - 2)*(-2 + 2 + 8*p) to the form o*p**2 + x*p + m and give o.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*c + 2. Suppose -13*v = -c*v - 2374. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8484 + -8415. What is the greatest common factor of 8832 and b?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 21 = -g, 0 = -2*g - g - 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.482723t in micrograms?\nAnswer: 6482723000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = 136 - 816. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 210 + -211. Which is the closest to -0.1? (a) g (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1712102638 divided by 2.\nAnswer: -856051319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 4, s: 2}. What is prob of sequence ll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20360 (base 7) to base 10\nAnswer: 4991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 30*w + 3. Let y(x) = 30*x + 4. Determine 2*y(i) - 3*z(i).\nAnswer: -30*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -160821979?\nAnswer: 160821979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 10*q**2 - 10*q - 6. Let n be o(-9). Suppose -2*p + 764 = -4*c, n*c + 6 = c. Is 70 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -40, -6, -2093.\nAnswer: -2093, -40, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 15 = o. Let p(z) = -4*z**2 + o*z**2 - 2 + z + 3*z + 9. Suppose 6*i = 3*i + 21. What is p(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 7:21 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -29, -74, -139, -224, -329?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2085436031?\nAnswer: 7, 42559919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 - t + 1. Let w be q(1). Suppose 18 = w*j + 2. Suppose j*s = 32 - 8. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 0*w - 2*w)*(5 - 3 - 3) + 0*w - 5*w + 3*w + 2*w + 3*w - 4*w - 2*w - 2*w + 8*w + (1 + 0 - 2)*(-2*w - 2*w + 2*w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fkkzf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 115578 divided by -6421?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.65908 grams to kilograms.\nAnswer: 0.03065908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abyvf. Give prob of sequence yavb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 353191962261+0.2\nAnswer: 353191962261.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5973*-0.1\nAnswer: 597.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26725530 and 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r + 8. Let x = 87 - 89. Let p = -4 - 1. Put x, r, p in decreasing order.\nAnswer: x, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 50*b + 384. Calculate s(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8346 - -8396. Let z(q) = -8*q**3 - 3*q**2 - 3*q - 2. What is the remainder when z(-2) is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26449956 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 522751 + 4?\nAnswer: 522755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46.9 - -43. Let m = r - -4. Let h = 1868\/11 + -170. What is the closest to 1 in h, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -52, -2, 22, 1799, -1\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 100636445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2094*s. Let n(m) = -2*m. What is n(u(y))?\nAnswer: 4188*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.8811 - 0.0189. What is u rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 89 = 85*u + 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80840 is divided by 6716?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 19*l - 60. Let v be j(-15). Suppose 3*k - 29*k - 130 = v. Let a(z) = 4*z + 17. Give a(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from bervbdrdeereqdedevd?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 10*s - 6. Suppose 5*f - 49 = 4*k, -2*f = -f + 2*k - 7. Determine v(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 7*g**2 + 20*g + 4. Calculate the remainder when 1149 is divided by l(7).\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 312, 314, 316?\n\"Answer: 2*r + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1651*c = 1652*c + 615, 3*i - 381 = 3*c. Calculate the highest common factor of 7198 and i.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -738590 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 11*p + 7. Suppose -3*h = q + 22, -8*h = -2*q - 3*h - 11. Let u be i(q). What is the highest common factor of u and 429?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (14 - 12) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.1 (c) -8\/201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfau when four letters picked without replacement from {h: 4, f: 4, u: 2, j: 4, a: 4, p: 2}.\nAnswer: 16\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 8*x**5 + 4052*x**4 - 18592*x**3 - 100372*x**2 - 110440*x - 32704 = 0?\nAnswer: -511, -2, -1, -1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**(-26)*((f*f\/(f*f**(1\/2)*f)*f)\/f)**(29\/4)*f**0*f*f*f**(1\/2)*(f*f\/(f**(1\/2)*f*f*f))**49 assuming f is positive.\nAnswer: f**(-1375\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138985381 and 398.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -1\/8*m**4 + 0*m**6 - m**2 + 0*m**3 + 0*m + 0 + 0*m**5 + 1\/336*m**8 + 0*m**7. What is the second derivative of p(k) wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 8, w: 6}. Give prob of sequence uk.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**3 + 2*u**2 - 6*u + 9. Let a(h) = h**3 - h**2 + h - 1. Let f(p) = -6*a(p) - j(p). Is f(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1255, -1242, -1227, -1210, -1191, -1170?\nAnswer: -1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -552459, 8\/3, -0.5 in ascending order.\nAnswer: -552459, -0.5, -0.4, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + (-8)\/3*3\/2. Suppose 5*a = -w*d + 4581, 0 = 4*d + a - 3*a - 4546. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - -4)\/((-2)\/582). Let h be (-4)\/6*c\/2. Let t = h + 245. List the prime factors of t.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -97 (b) 0.2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(700) + 1*sqrt(700)*1)*3 + -5)*2)**2.\nAnswer: -2400*sqrt(7) + 100900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 2*p**4 - 3*p**4 + (0*p**2 + p**2 - 2*p**2)*(4*p**2 - 15*p**2 - p**2).\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 18083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11799760 divided by -152\nAnswer: -77630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9557056.24999924 - 9557056. Let r = p - 0.25. What is r rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*x + 14, 4*o - 4*x - 12 = -4. Let a be o - -3 - 2 - 1. Let m = 5 + a. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1187826.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 153457\/32664 + 14\/1361. Find the common denominator of 113\/10 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155140 by -4.\nAnswer: 38785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4480 times 0.1\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/7)*m)*(m\/m**(-4))\/m)\/((m\/(m\/((m*m**(-7))\/m)))\/(m**6*m)) assuming m is positive.\nAnswer: m**(127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 81609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 2, z: 2, e: 9}. Give prob of picking 1 s and 1 e.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 296596 - 295350. Suppose a + 20 = -2*v + 108, 3*a - 209 = 5*v. Calculate the remainder when j is divided by a.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141884 (base 9) to base 16\nAnswer: 152da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s**3 - 6*s**2 - s + 4. Let z(l) = -6*l**3 + 6*l**2 - 3. Let y(m) = m - 13. Let x be y(17). Let p(v) = x*z(v) + 3*g(v). Solve p(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131613949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -711761 (base 8) in base 14?\nAnswer: -61649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 5. Let v be f(-2). Let r be 0 + -4 + (-315)\/v. Let n = -34 + r. Which is smaller: n or 25\/4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18319 is divided by 143.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 4, z: 2, u: 3, p: 3, k: 2}. Give prob of picking 1 p and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24255 divided by -3.\nAnswer: -8085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1197929 or 1197933?\nAnswer: 1197929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-6)*306\/(-24). Let w = d - 1. Is w a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 8*q + 4. Let h be z(8). Suppose 4*p = -j + 12, -5*p + 24 = -p + h*j. Solve 3*d + 4*s = d - 6, 3*d = p*s + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - 2*t**2 + 2*t**5 - 3*t**5 + 0*t**5 + t**5 + (-995*t + 1939*t - 1048*t)*(-4*t**4 + t**4 + 2*t**4) - 3*t**5 + 2*t**5 - t**5.\nAnswer: 102*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 a when three letters picked without replacement from kakkkaaakkkkakkakk?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6832*h**2. Let l(x) = -2*x**2. Determine l(w(g)).\nAnswer: -93352448*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26989129 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -24 + (19 - -11).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -163.\nAnswer: 16.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 1*5\/19. Let q = 59\/3 - 375\/19. Let y = q - f. Is -3 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f*f**14)\/f*f)\/f)\/f*f\/(f**(2\/3)\/f) assuming f is positive.\nAnswer: f**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 33 = -0*v - 5*n, -n = 2*v - 22. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39 and -0.162?\nAnswer: 6.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 14482251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 116538 divided by -38846\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 times -22.3?\nAnswer: 7202.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 1053.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -75, -83?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*y - 5 + 20 - 6 - 4 + 10 as q + x*y and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17, -32, -53, -80?\n\"Answer: -3*t**2 - 6*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 4*t**2 - 70*t + 418. Determine h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w + 4*w**2 + 10*w**2 - 3*w**2 - w**3 - 2. Let a(l) = -l**2 - 13*l + 90. Let d be a(-13). Suppose 358*c - 349*c - d = 0. Determine t(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124\/5*761\/3044.\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**9\/60480 - z**8\/6720 + z**5\/60 - 2*z**2. Let j(f) be the third derivative of k(f). Determine j(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 112 = 2*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 860688*q**2. Let y(a) = -5*a**2 + 8. What is y(n(c))?\nAnswer: -3703919166720*c**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32640\/2856 - ((-17)\/(-7) - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-11 - -6) + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1723, 2471, 3221, 3973, 4727, 5483, 6241?\n\"Answer: u**2 + 745*u + 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -649 by -1392.\nAnswer: 649\/1392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*v + 2*v**5 + 2*v**2 - 107*v + 10 - 18*v**5 + 204*v wrt v.\nAnswer: -960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7451501 centuries to decades.\nAnswer: 7.451501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13456080 to the power of 1\/2, to the nearest integer?\nAnswer: 3668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c + 201*c = 1050 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 312012 (base 4) to base 14\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stegegssselssg. What is prob of picking 3 g?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - a**2 - a + 15. Let x be i(0). Let m be 10\/x + (-14)\/(-6). Is (-7 - -4)*(-7)\/m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 928 and 3538.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -287264332*j**3 + 2196*j**2 - j + 6061 wrt j?\nAnswer: -1723585992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2 + 12*w + 15 = 0. Calculate w.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, x: 2}. Give prob of sequence xxv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78536 is divided by 11216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -325*z + 1307. Give b(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41 - -12?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 699 = -k - 4*k, 3*q - 1053 = -3*k. What is the highest common divisor of q and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3133142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140 - -96. Let k = x + 5735. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0085043 rounded to 4 dps?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.093*-3.\nAnswer: 0.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 + 58 = -5*s. Let u be (-12)\/(-30) - s\/5. Let f = 7 - 5. Solve f*d = a - u, 2*a + d - 8 = 4*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -40127\nAnswer: 13\/40127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:25 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 3*g - 4*d, -4*g - 114 = -7*g + 2*d. What is the derivative of -725*c**2 + 725*c**2 + 54 - g*c + 37 + c**3 wrt c?\nAnswer: 3*c**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/9 - -2 - (-397 - -403)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-3)*-12*(-8)\/80.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 11. Let b = c + -4. Let d = 83 - b. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*m - 2*s + 15, 2*m = 4*s - 16. Let i be ((-18)\/(-10))\/(-5 - 56\/(-7)). Which is bigger: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 92*q**3 + 248*q**2 + 160*q.\nAnswer: 4*q*(q + 1)*(q + 2)*(q + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 339759913?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t - 5 = 0. Let h = 2 + t. Solve 2 = w - 4*z - 1, -w - h = 2*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 677.003 grams to nanograms.\nAnswer: 677003000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163998 is divided by 2415?\nAnswer: 2193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 29*g - 11. Let a be p(-5). Let k be (-2 + a\/(-75))*-5. Let h(w) = -w - 1. Let j be h(-1). Which is smaller: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 218*j**2 - 4676*j + 70560.\nAnswer: -2*(j - 10)*(j + 56)*(j + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 720 and 75971328.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 0*m + m)*(0 - 2*m**3 + 0) - 9 + 14*m**4 + 9 + (-2*m + m - m)*(2*m**3 + 2*m**3 - 3*m**3) as g + s*m**4 + v*m**2 + y*m + f*m**3 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4 (c) 116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 4, w: 2, k: 1, c: 1}. Give prob of picking 2 n.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 32*t**2 - 17*t - 157. Let p be c(15). Solve p = 15*z - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5204 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 8) to base 2.\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 52. Calculate the least common multiple of h and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-9)\/(-6) - 2\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30176 and 78016?\nAnswer: 3198656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/12 - o**3\/3 + 57*o - 4. Let n(s) = 2*s**2 - 3*s. Suppose 0 = -3*t + 23 - 32. Determine t*w(j) + 2*n(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(5\/7)*z**(2\/19) assuming z is positive.\nAnswer: z**(109\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104.24366 - 103.5957123. Let h = z + -0.648. What is h rounded to 6 decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -356*l + 112146. Calculate d(315).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2. Let k(g) = 32*g**2 - 14*g + 7. Let j(u) = -21*u**2 + 10*u - 5. Let z(b) = -7*j(b) - 5*k(b). Determine h(z(n)).\nAnswer: 169*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 357626470 + 4?\nAnswer: 357626474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 22*f - 26. Let p be r(-13). Calculate the remainder when 17 is divided by 4\/p - (6 - 618\/39).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 193710724*f**3 + 1549769300*f**2 + 668073*f + 72.\nAnswer: (f + 8)*(13918*f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8333163 is divided by 124?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9760\/(-22220) + (-10)\/(-55). Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1193 - -1160. Which is the second biggest value? (a) r (b) 0.27 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 6280*h**2 - 31245*h - 37530.\nAnswer: -5*(h - 1251)*(h - 6)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, e: 1, y: 12}. Give prob of sequence uyey.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j + 8*j - 7 + 13 - 3 + j**2. Let b be y(-5). Let x be 1 + 2 + b\/(-1). Solve x*f = 3 + 12, 2*w - 5*f + 13 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2.2 (b) 2 (c) 0.1 (d) -4\/5 (e) -2\/3 (f) -899 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 6*r**2 + 3*r + 2159. List the prime factors of x(0).\nAnswer: 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**3\/2 + 3131*r**2\/2 + 10463*r\/2 + 7329\/2 = 0.\nAnswer: -7\/3, -1, 1047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22800 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1861095.3 months?\nAnswer: 155.091275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/3 - -6 - 16\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-5) + -2 - 28\/(-70). Let l(m) = 39*m - 5. Is 13 a factor of l(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*x + 0 + (3 - 6 + 2)*(4 - 4 + x) - 4*x + 8*x - 3*x - 3*x + x + x + 3*x - 6*x - 4*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6010114 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = -3*l, -7*l + 5*l = r - 4. Suppose -161 = -l*k + 3*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 3 - 3 - 5 + 5 + 57*q**2.\nAnswer: 57*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**5\/4 - 10*k**3\/3 + 12*k. Let c(x) = 0. Calculate x.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -1028*g**3 - 9*g**2 + 28*g + 1293. What is the second derivative of u(c) wrt c?\nAnswer: -6168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, i: 1, c: 1, k: 3, h: 11}. What is prob of picking 1 i and 2 d?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 13 = 7, 3*s = -2*g + 26. Suppose z + 45 = s*z. Let f = z - -7. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/5 - 141*b\/5 - 28.\nAnswer: -(b + 1)*(b + 140)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.1 - -24. Sort -0.7, z, -3 in descending order.\nAnswer: z, -0.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3477158 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1 + 5 + 3 + b - 6. Let x be f(1). Let p = 1 + x. Which is smaller: 8\/3 or p?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*z + 5*z = 6, 5*o - 9 = -3*z. Suppose -6*i - 3 + 939 = o. What are the prime factors of i?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*r + 3\/4*r**3 - 3\/4*r**2 + 0 - 1\/4*r**4.\nAnswer: -r*(r - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.1, 3\/5, 69.74?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13161 + -117?\nAnswer: 13042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 20, -m + 3*a = -2*m + 16. Let w(x) be the first derivative of -1 + 0*x**m + 0*x + 1\/3*x**3 + 0*x**2 - 1\/5*x**5. Suppose w(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*l**3*v**3 + 773*l**3 - 624*l**2*v**3 + 4*l**2 + 3*l*v**3 + 973*l*v**2 wrt v.\nAnswer: 108*l**3 - 3744*l**2 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334279?\nAnswer: 11, 30389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -150693*b - 1808322. What is g(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45282, -41816, -38350, -34884, -31418?\nAnswer: -27952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 884\/3 at least as big as 296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**(-2\/37)*(m**(2\/5))**(-4) assuming m is positive.\nAnswer: m**(-908\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11 + v - 2*v + 0*v. Let r be d(6). Suppose 2 + 6 = -4*o, -180 = -r*k + 5*o. What is the remainder when k is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363 = -40*z - 44 + 7 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4521509 and -2.\nAnswer: -4521511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5. Let t(k) be the second derivative of 0*k**3 + 1\/12*k**4 - 2*k - 7 - 3*k**2. Calculate -6*j(p) + 5*t(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 10*v + 38 = -5*r, 5*r - 3*v - 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96000840 and 89920.\nAnswer: 768006720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((3*(sqrt(672) + (sqrt(672) - 2*sqrt(672))))\/sqrt(12))\/((sqrt(3200) - (sqrt(3200)*2 + sqrt(3200)))\/sqrt(4))*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 87, 221, 353, 483?\n\"Answer: -q**2 + 137*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10079\/6066 + 17\/337. Calculate the common denominator of n and 83\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 142, 155, -102, -767, -1978, -3873, -6590?\n\"Answer: -23*s**3 + 3*s**2 + 165*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c - 21 - c**2 + c**4 - 3*c**3 - 13*c + 2*c**3 + 22 - 11*c as w + f*c**4 + q*c + l*c**2 + b*c**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2706\/820 - 6\/(1 - 0))*16\/(-6)\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372939042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196784.\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -8 - (-6 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794767.\nAnswer: 17, 46751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10345, -20677, -31009?\n\"Answer: -10332*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2094479 is divided by 283?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 14. Find the common denominator of 2\/v - (-25)\/(-6) and -61\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 406 + -253. Let l(d) = 100*d. Let f be l(-1). Let z = q + f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**3 - 5*c**2 - 3*c + 3. Let t(b) = 4*b**3 - 6*b**2 - 4*b + 4. Determine 4*a(x) - 3*t(x).\nAnswer: 4*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(6\/17)\/x*x\/(x**30*x) assuming x is positive.\nAnswer: x**(-521\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6529 - 8.6529. Which is the third smallest value? (a) 5 (b) q (c) 0.13 (d) 1\/75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2 + 0 = -2*t, v = 3*t + 4. Solve v = 4*b - 5*p, 0*p + 4*p = 4*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136450086 is divided by 371.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3370 divided by -337.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/2567?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eheeehrheeressreeese. What is prob of picking 1 r and 1 s?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*-3*((sqrt(12)\/sqrt(6) - sqrt(2)) + 1 - (0 + sqrt(10)\/sqrt(5))))**2.\nAnswer: -360*sqrt(2) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2347 (b) 7\/11 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*w + 8, 5*w - 4*x - 20 = 4*w. Suppose 3*s + 5*t = 13, 17 = -3*s + 4*t - 3*t. Sort s, w, 0.\nAnswer: s, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2866578952 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50802907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2 + u**3 - 7 + 8*u**2 - 4*u + 10*u. Calculate b(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -35*j**6\/12 - j**5\/30 + 19*j**4\/6 + 8*j**3\/3 - 2*j**2 + 1022*j. What is the second derivative of n(i) wrt i?\nAnswer: -2100*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.1. Let m = 0.7 - v. Let u = 6.2 + -6. What is the smallest value in u, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -17. Suppose 15 = 3*l, 3*v = -o*v - 3*l + 7810. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3146*t**3\/9 + 6310*t**2\/9 - 3182*t\/9 + 2 = 0.\nAnswer: 9\/1573, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*p - 170*p = 438*p + 1881 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12)*(-10773)\/5187*(-14)\/9*2.\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 112031 divided by -3\nAnswer: -112031\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 = -5*j, 0*o - 1 = -o - 5*j. Suppose 288 = o*t + 6*t. Solve 3*m = -5*i - t, 6*m = -4*i + 2*m - 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 1121*k**4\/3 - 315*k**3\/2 - k**2\/2 + 3*k - 51. Find the second derivative of w(d) wrt d.\nAnswer: 8968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/11)\/f)\/f*f)\/f)\/(f**5*f)*f**(4\/7)\/f*(f\/(f*f*f**(-5)\/f))\/f assuming f is positive.\nAnswer: f**(-348\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -56846.81976 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 10) to base 5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15300\/(-918) + 1\/(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18247\/7 - -2607. Sort 0.5, -0.5, 3, c, -3\/83 in ascending order.\nAnswer: -0.5, -3\/83, c, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: (14\/(420\/(-5)))\/(1\/2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 16037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 10*w**2 + 8*w + 5. Let d be q(9). Is -5 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61631953?\nAnswer: 17, 19, 190811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-46*o**2 - 43*o**2 + 16*o**2 + 2).\nAnswer: -146*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22393999403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 187.80493 + 0.19507. Let o = 0.04 - 0.14. Which is the third smallest value? (a) -0.4 (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.578 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0 - (-8 + 7)) + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1502 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s + 100. Suppose 7*w = -0*w + 266. What is the remainder when w is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 115*o. Let x(f) = 19*f. Give x(q(i)).\nAnswer: 2185*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/94 and -29\/188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:34 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 853282.9 days?\nAnswer: 73723642560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 15) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/7 - 848*c**3\/7 - 1690*c**2\/7 - 844*c\/7.\nAnswer: -2*c*(c + 1)**2*(c + 422)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 2*v + 1. Let t be f(5). Let w = t - -20. Suppose -3*y - w + 30 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(-77) + (-18)\/(-14). What is the nearest to x in 1, -2\/9, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, r: 1, v: 3, j: 4, e: 3}. Give prob of picking 1 e and 1 v.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9.009. Let j = y + -0.0143. What is j rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - t**2 - t + 1. Let h(x) = 10*x**2 + 10*x - 10. Let k = 5583 - 5585. Determine k*h(a) - 20*p(a).\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 3*r**2 - 29 + 13*r**2 - r**3 - 2*r**2. Calculate the remainder when 49 is divided by z(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 9. Let r be f(9). What is the units digit of (3\/r)\/(4\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.24 - -0.7. Let a = -0.26 + d. Sort 0, a, -1\/5 in decreasing order.\nAnswer: a, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 + 121 = -453*t + 363*t. Sort t, -4, -2, 0, 400 in ascending order.\nAnswer: -4, t, -2, 0, 400","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*j = j - 3, 3*h - 19 = -5*j. Let p be (h - 1)*38\/(-6). Solve w = -5*r - 3*w + p, 8 = r + 5*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b - -19?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 7b0?\nAnswer: 7b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 135138323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**6\/10 - 3*m**5\/5 + 3*m**4\/4 + 92*m - 2. Factor g(t).\nAnswer: 3*t**2*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23209 divided by -326\nAnswer: -23209\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 16*j**3\/3 + 25. Let u(m) = -4*m**2 - 6. Let f(p) = -9*p**2 - 13. Let b(t) = -6*f(t) + 13*u(t). What is b(w(y))?\nAnswer: 512*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 + 8 = 0. Suppose -9*p + 1918 = -s*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -12*t - 10. Suppose -3 = -g - 5*l + 7, -4*l - 136 = -4*g. Let k be (12\/36)\/((-2)\/g). Does 15 divide i(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 19*n**2 - 11*n - 2. Let x(p) = 10*p**2 - 6*p - 1. Determine -6*d(y) + 11*x(y).\nAnswer: -4*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*z**4 - 32*z**2 wrt z?\nAnswer: -1224*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19221.82 millennia in months?\nAnswer: 230661840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 6*n**2 + 7*n + 2. Let q be j(7). Let y be (35\/2 + 1)*-2. Let u be y\/(-7) + q\/(-7). Solve -h + u*h = 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 + 2*a**2 + 2*a - 2. Suppose -23 = 5*b + 12. Let s(w) = -w**2 - 10*w - 14. Calculate the remainder when p(2) is divided by s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1 + 0*x**2 + 7*x - 2 + 3*x**2 - 4*x**2. Let t be h(6). Suppose 0 = t*l + 6, 10 = 5*c + 3*l - 9. What is the greatest common factor of c and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**3 + 38*u + 1. Let s(t) = -t**3 + 3*t + 2. Calculate -2*s(n) + x(n).\nAnswer: 5*n**3 + 32*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.250821 rounded to three decimal places?\nAnswer: -0.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 + -120. Suppose -s + 3*n = 2*s - 30, 0 = 3*s + w*n - 54. Calculate the greatest common divisor of s and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.13438 from -0.1.\nAnswer: -0.23438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2057) - ((sqrt(2057)*4)**2 + 5 + sqrt(2057))).\nAnswer: -65834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3, j - 9 = n + 4*j. Let o be (1\/1)\/(n\/(-12)). Factor 37*v**2 - 5*v**3 - 27*v**o - 6*v + 21*v.\nAnswer: -5*v*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*a**4 - 70*a**3 + 12*a**2 + 14*a - 12 wrt a.\nAnswer: 216*a - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2759516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-920)\/(-1380)*1\/(-5)*3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*q**4*w - 111*c*q**2*w - 97*c*q**2 + c*q + c*w + 582*c - 3*q*w + 11*q wrt q?\nAnswer: 12*c*q**2*w - 222*c*w - 194*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - (0 + 7 + 9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/12 - (-6)\/(-3). Suppose -2*b = 4, -25 + 4 = 5*v - 2*b. Let s be (v + 4)\/((-5)\/3). What is the closest to a in s, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-260)\/585)\/((-20)\/45*(-22)\/(-12))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5 (b) 4 (c) -3 (d) -3445 (e) -343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from ppvppppvvpvppvpppp?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 9 = 2*f, -3*l - 25 = -4*f + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 751 divide 224891771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -4551524\nAnswer: -36412192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 2:45 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*j*y**4 - 3*j*y**3 - 9*j*y - 3*j + 64601*y**2 - 114099*y wrt y?\nAnswer: 96*j*y**2 - 18*j*y + 129202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -359*t + 20. Let r(x) = 10413*x - 585. Let f(u) = -117*i(u) - 4*r(u). Let g(o) = -5*o. What is f(g(l))?\nAnswer: -1755*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 10 + 1)*(-g + 4*g - 2*g)*(-46*g + 115*g - 6*g).\nAnswer: -3339*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219694499?\nAnswer: 1597, 137567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1817 + 425 = -49*q + 274 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271646?\nAnswer: 2, 3, 23549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -20 (b) 1 (c) 293\/3 (d) 3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*a - 2*c, 3*a + 167*c - 170*c = -6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -53 (b) 5 (c) 0.2 (d) 1\/2 (e) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 8*i**2 + 2*i + 5. Let h be l(8). Let g be 132\/h + (-2)\/7. Let p be 1 + -4 - g\/(-2). Solve 16 = -4*w - p*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-1\/15)*p**(1\/9)*(p**(3\/4)\/p)\/p**7 assuming p is positive.\nAnswer: p**(-1117\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*t + 12*t - 13 - 31*t)*(-2 - 1 + 1).\nAnswer: -8*t + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 367 - 14?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49 - -1aa?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a + 80 = 29*a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-6)*6\/(-2). Suppose -s - 2*j + 9 = 0, 18 = -s + 6*s + j. Let k be -6 - -5 - -1*(18 + s). What is the highest common factor of k and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*j + 4*q, 8 = 4*j + 5*q - 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a hour in seconds?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-9 - -9) + -3 + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/35, -3, 1\/4, 2\/11, -0.0856, 0, 3?\nAnswer: -0.0856","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(((-48)\/20)\/(-4))\/(1428\/510)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -4 (c) -1.45 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 112794.\nAnswer: 112799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 958 - 2155. Let w = 1744 + z. List the prime factors of w.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 7, 286 in descending order.\nAnswer: 286, 7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -50054071 and -178386?\nAnswer: 49875685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4432884757.\nAnswer: 7, 633269251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249282 divided by -1259.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*m - 40*m - 28. Solve -3*q - 7 = m*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 830400424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 92278.33 weeks in microseconds?\nAnswer: 55809933984000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 2*-1 - -4. Let i be (-3)\/(-5)*f - 1. Let j = 33 + -36. Sort j, i, 4 in increasing order.\nAnswer: j, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44410.91nm in micrometers?\nAnswer: 44.41091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, d: 3, i: 2, q: 4, w: 1}. Give prob of sequence ddid.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*873\/(-6596)*-102.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)\/(j*j*j\/(j*j**(-1\/2)))*j**(-1\/6)\/(j\/j**(-3\/7)) assuming j is positive.\nAnswer: j**(-170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -19*v**2 + 41*v + 165. What is z(-5)?\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8*-0.2319\nAnswer: 1.8552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11776 and 5224960?\nAnswer: 120174080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**4\/4 + r**3\/3 + r**2 + 2*r - 25. Determine o(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2508 - -2550. Is 3 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.3 (c) 0.1 (d) -3 (e) -3975 (f) -0.28\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62556 divided by 39.\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10011101101 (base 2) to base 3\nAnswer: 1201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-2 + 6 - 1)*(2 - 1 - 3)*(79*f - 200*f - 96*f).\nAnswer: -2604*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - ((-9 - (-10 + 11 - 2)) + 8 + 0).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2, 12, 3, 0 in ascending order.\nAnswer: -17, 0, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 + 147 + (-1 - (-10 - 2)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 + 66.6. What is the closest to -2\/7 in k, -7, -1\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -13306306.\nAnswer: -1\/1023562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 236999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2574.8544088 + -2743.8543. Let d = -169 - s. Round d to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1\/5, -5.24, -0.5, 10, 7.\nAnswer: -5.24, -0.5, 1\/5, 7, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/35 in 2\/11, -117, -503\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3893 - 3897. Let k = -9.77 - 0.23. Let h = k - -9. Sort 2\/7, h, -2.5, a in ascending order.\nAnswer: a, -2.5, h, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3022*f + 2458*f - 194335 = -116227 + 272612 for f.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 809608 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 5. Let s = 0 - -0.1. Let y = -131.3 + 131. Sort s, y, p in increasing order.\nAnswer: y, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-88)\/6)\/(7\/21). Let s be 1\/(-2) - b\/8. Let k(t) = 4*t**3 + 3*t**2 - 7*t + 1. Is k(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 48484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 949.4*3\nAnswer: 2848.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 377 * -705.9\nAnswer: -266124.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 5*c**2 - 4*c - 2. Let z be 1 + 3\/(4\/4). Let m = 12 - 22. Let y be z\/m + 16\/(-10). Determine i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 808041631?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 581567 by 1.\nAnswer: 581567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -5a1?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9139.5 rounded to the nearest one hundred?\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/988 and 165\/55 + (-4 - 10928\/(-10868)).\nAnswer: 10868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10e1 - -1?\nAnswer: -10e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4782073\/98 + -48796. What is the common denominator of 55\/42 and s?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241334, 482671, 724008?\nAnswer: 965345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 129367.05939 + -0.66\nAnswer: 129366.39939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 - 1\/(-4). Let y be -4 + -4*(6 + -7). What is the closest to -0.2 in y, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -74172, 5, -2, -1 in decreasing order.\nAnswer: 5, -1, -2, -74172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 209*c**4 - 6 + 13*c**2 - 4*c**3 - 101*c**4 - 110*c**4 in the form w*c**4 + g + n*c**3 + q*c + u*c**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 9043, -1, 176 in decreasing order.\nAnswer: 9043, 176, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*t - 31*t + 334*t**3 - 24*t + 77 - 73 in the form f*t**2 + y + u*t + x*t**3 and give x.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729915 is divided by 2141?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8494*a + 16 = -4*s + 8498*a, -5*a - 12 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410 divided by 2?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*j - 18 = 27, 4*s + 2*j = 54. Let q = s - -32. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 1. Let l(o) = -o**3 - 4*o**2 + 8*o + 2. Let s(z) = -2*h(z) + l(z). Let s(b) = 0. Calculate b.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 38*w**3 - 2*w**2 - 9 - 3*w - 50*w**3 - 12 + 4*w**2 as h + l*w**3 + x*w**2 + v*w and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l*l*((l*(l*l**2)\/l)\/l)\/l*l*l)\/l)*l**(2\/7))\/(l**(-6)*l*l**(2\/3))*(l**(3\/4)*l**(-4\/7)\/l)\/(l**(-2\/3))**13 assuming l is positive.\nAnswer: l**(237\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -71*g**3*k + g**3 - 38*g**2*q + 49*g*k*q + 8*g*q wrt k?\nAnswer: -71*g**3 + 49*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-8) + 8\/(-32)*19. Let x = 5.5 + -0.5. Put x, y, 3 in descending order.\nAnswer: x, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**4\/12 + z**3\/6 - 5*z**2 + 7*z. Let w be p(3). Solve 2*k = -b - 3, 0*k - 9 = -b + w*k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 450770627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*x + 2*u, 4*x - 4*u - 18 - 42 = 0. Let o be (-4)\/(-6) + 32\/(-60). Which is the third smallest value? (a) o (b) x (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 + 0*h**2 + 302*h**3 - 335*h**3 + h**2 - h**2 - 2*h to r*h**3 + l*h + d*h**4 + b + p*h**2 and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + 5*(0 + sqrt(200)) - 4*-2*sqrt(7200))*-6.\nAnswer: -3180*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669 = 89*h - 577 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 + 0*p**5 + 2*p**5 + (-3*p + 2*p + 0*p)*(-6*p**4 + 4*p**4 + 3*p**4) + 2*p - 2*p + 3*p**5 + 3 - 3 + p**5.\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u - 35 = -4*j, 0 = j - 5. Sort -4, 0, u, -1\/7 in increasing order.\nAnswer: -4, u, -1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(48)\/sqrt(6) + sqrt(2)*2*1 - (sqrt(56)\/sqrt(7) - (sqrt(8) + -2)))*-1)**2.\nAnswer: -256*sqrt(2) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -0.379, 0.79 in descending order.\nAnswer: 0.79, -0.379, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -195*l + 198*l - 69. Suppose -21*c = 2*c + l. Is -0.25 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11127404 and 3124.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.915758 to three decimal places.\nAnswer: 2.916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 43 + 2 + 6*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*g + 37*g - 294. Calculate the greatest common factor of g and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*n = -312 + 32. Let d be (-7*(-84)\/(-490))\/(11\/n). Find u, given that 6\/11*u**2 - 36\/11*u**3 + 36\/11*u - d*u**4 + 0 = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/((-12)\/(-9)) + 10\/(60\/(-126)). What is the second smallest value in 5, r, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220803*584.\nAnswer: 128948952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + 5*sqrt(77)*1)\/(-2*sqrt(1008)) - (((sqrt(110)*2)\/sqrt(10) - -5*(sqrt(11) + 1))*1)**2.\nAnswer: -564 - 281*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -5*d - 43, -d + 22*p + 5*p = 115 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2235 (base 7) to base 15\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l + 5*l - 4*l)*(-1 - 1 + 0) + 7*l + 5*l + 5*l)*(-1 + 4 - 2).\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 571 + -36.44.\nAnswer: 534.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v + 10. Let y be k(-2). Suppose -y*o + 5*o - 18 = 0. Calculate the lowest common multiple of o and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 11. Let f = -2 - r. Let w = 203 - 175. Calculate the greatest common factor of w and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**7\/1680 - h**6\/192 - h**5\/60 - h**4\/48 + 12*h**2. Let t(k) = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.281 - -0.681. Which is the nearest to -0.48? (a) -0.4 (b) 0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700987 rounded to the nearest one thousand?\nAnswer: 1701000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5156836 by -1289209.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1039? (a) -4 (b) 0.01 (c) -3 (d) -2 (e) 0.051\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 566\/(-522) - (-19096)\/15624?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 722920 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.1003282 rounded to one decimal place?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088662 to the power of 1\/2, to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -31550000 rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7095497699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*f = -42, -2*r - 913 + 425 = -5*f - 418 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-65))\/((-19)\/(-3 - -1200)) - 6\/(-39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 134 + 38 = 0. What is the remainder when w is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 757815 to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 20.13. What is x rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 43*a + 433. Does 56 divide c(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l - 1. Let p be o(-1). Suppose -p*w + 6*w = -3. Let v(a) = -a**3 - 5*a**2 - 3. Let u be v(-5). Sort 3, u, w in descending order.\nAnswer: 3, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6136 and 4944023.18.\nAnswer: 4937887.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 769*k - 29. Let g be f(-7). Is (-1)\/(-2)*(2 - g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(2) - -3*sqrt(10)\/sqrt(5)))\/(sqrt(512)*2 - (sqrt(8) + -3*sqrt(16)\/sqrt(2))).\nAnswer: sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 16571680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1313.7 times 135\nAnswer: 177349.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 457 + -4c?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a - 5. Let p be n(-5). What is the highest common divisor of 50 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10229)\/(-1737) - 2\/(-18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 6*j**2 + 7*j + 2. Let x(u) = 34*u**3 - 2*u**2 + 1. Calculate the remainder when x(1) is divided by k(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -153*p - 69. Is z(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 681 = -10*m + 5*m, -5*y + 3*m = -3493. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 4\/21*k**6 - 4\/7*k**3 + 8 + 1\/7*k**2 + 13\/14*k**4 + 0*k - 24\/35*k**5. What is v in h(v) = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2639*r**2. Let z(x) = 828*x**2. Give n(z(p)).\nAnswer: 1809256176*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -145, -291, -525, -877, -1377, -2055, -2941?\nAnswer: -4065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**2 - 4*v - 8. Let p be f(-4). Let q = -45 + p. Solve 4*h + h = -m - q, -2*h = -2*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/5 - 2064*y**2\/5 + 3742*y - 29148\/5 = 0.\nAnswer: -1041, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 8 + 6 + 8. Let j be r(6). Suppose p - j + 17 = 0. What is the nearest to 3\/4 in -5, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 2557*u**4\/4 + 2014*u + 1512. What is the derivative of g(z) wrt z?\nAnswer: 7671*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*k - 1775 - 1841 + 5778 = 0 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 5460?\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 i when four letters picked without replacement from iieippiepipi?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -6 + 2. Let b = 0 + -5. What is the second smallest value in b, n, -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1403734 to three decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -822, -3976, -9216, -16530, -25906?\n\"Answer: 2*r**3 - 1055*r**2 - 3*r + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*j + 5 = 3*j, 5*c + 2*j = 14. Suppose -292 = -2*w - 6*l + 2*l, -c*w + 560 = 2*l. Suppose 2*m - 10 = 0, 56 = 4*p + 2*m - w. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + b = 1779, 2*i - 1785 = -0*i + 5*b. Suppose -6*y + y + i = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**2 - 3*r - 7. Let q(j) = 34 - 186*j**2 + 14*j + 66*j**2 + 66*j**2 + 78*j**2. Determine 14*o(x) + 3*q(x).\nAnswer: 2*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71? (a) -2 (b) -3\/5 (c) -4 (d) -244 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 493*n + 71722\/3.\nAnswer: -(n - 1526)*(n + 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.346 + -0.346. Let d = -14 + x. Sort 1\/5, -9\/11, d, 0.3 in increasing order.\nAnswer: -9\/11, 1\/5, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29366153069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxwrvxrryvyrwrxkxr. What is prob of picking 1 k and 2 v?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(-4 + 4 + 4)*(-3 + 5 - 8)*(2*i**2 + 2*i**2 + 2*i**2).\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6995, 28174, 63537, 113084, 176815?\n\"Answer: 7092*w**2 - 97*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 3*r + 2. Let u(g) = g**2 - 2*g - 1. Let m(d) = -6*c(d) - 11*u(d). Let t be m(-5). Suppose -t*i + 93 = -i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85894, 171589, 257284, 342979, 428674?\nAnswer: 514369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8586067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (22 - 40) - (1 + -12 + 2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3509 + 10525\/3. Let g = 0.2 - 0.4. Which is the third smallest value? (a) 5 (b) x (c) -3\/4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + a - 2)*(-9649 - 19396 - 17244 - 2775).\nAnswer: -49064*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.146 + 0.846. Let a = -3.506 - 0.494. What is the closest to y in 0.1, a, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 43017.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 0*h + 10*h + 5*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 631 = -656 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561*l + 7425 = -125*l + 389*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-53)\/(-4) - (-18)\/24. Let r be (-2)\/(-9) + n\/(-252). What is the fourth smallest value in -2, 5\/4, -8, r?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)*k**(-5)*k)**49*k**(1\/4)\/k**(-3)*k**(-3\/2)\/k**(-1) assuming k is positive.\nAnswer: k**(-717\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/21)\/k)\/k**9*(k*k\/(k*k**(-7)*k)*k*k)\/k**(1\/15))**(-1\/33))**(1\/6) assuming k is positive.\nAnswer: k**(17\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 5 - (10 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/30)\/(108\/(-16) + 7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -103651, -473, 0 in descending order.\nAnswer: 0, -473, -103651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -347.46920758.\nAnswer: -347.16920758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2415318 - 4972518. Round x to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + 72. Suppose 6*x + 2*x + a = 0. Let j = 84 + x. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/3)*t**(-3\/4)\/t*t**(-1\/3)*t**(-6) assuming t is positive.\nAnswer: t**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -107, -249, -457, -737, -1095?\nAnswer: -1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, 122, 441, 938, 1619, 2490, 3557?\nAnswer: 4826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**17\/l)**(-11))**(-4\/7))**49)**(1\/72) assuming l is positive.\nAnswer: l**(616\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/10 - (-110)\/(-25). Let d be 6 + (1*-2 - g). What are the prime factors of d\/(-10)*(-60)\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/((b*(b**(-2\/9)\/b)\/b)\/b)))\/b*b**(1\/14))**39)**(-42) assuming b is positive.\nAnswer: b**5161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12110311 + 111?\nAnswer: 12110422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*c + 60, -5*w + 0 = -c - 300. What is the highest common divisor of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10124485 a multiple of 805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160246 = s - 33364. Suppose 493780 = -2*x - 4*y, -2*x + 3*y - 246870 = -x. Let z = s - x. Round z to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -467.61 + 954.35. Round u to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35.6 or -0.202?\nAnswer: -0.202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11.93494 weeks?\nAnswer: 7218251.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 5*j**2 + 3*j - 4. Let d be k(6). Let f = d + -30. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1093*v - 2254. Give n(-2).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 6*x - 33 = 0, 91*s - 189*s - x - 3 = -100*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.15438 to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 5*n - 132. Solve -n*z = -17*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.53? (a) -103 (b) -83 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2330)\/(-25) + (-1)\/5. Let s = k + -54. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11))**(-1\/17)*(l**(1\/5))**19 assuming l is positive.\nAnswer: l**(3563\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 0.09293?\nAnswer: 1.09293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -9*g**2 - 1 - 119*g + 155\/42*g**7 + 0*g**5 + 0*g**3 - 1\/3*g**4 + 0*g**6. Find the third derivative of j(v) wrt v.\nAnswer: 9300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3013 + -1926. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, 4\/3, 1\/8, -23 in descending order.\nAnswer: 12, 4\/3, 1\/8, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -1 + -8 + 3 + 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 5*i**2 + 3*i - 6. Suppose -28 - 5 = 5*k + m, 6 = -3*k + 4*m. Let a be f(k). Find the common denominator of (-11)\/2 - (-3)\/a and -17\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-6)*(0 + 3). Suppose -p = -n - 1. Solve p*h + 18 = -2, -3*h = 2*r + 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*r + 54*r + 61*r.\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 4*k**2 + 3. Let y(v) = -1. Let t(o) = l(o) + 4*y(o). Let x be t(4). Let m be (-5)\/(3\/(x + -2)). Put 1, 0, m in increasing order.\nAnswer: 0, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x - u + 2690 = -16*x, -2*u - 3610 = -4*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-351354)\/(-825)*(5 - (-4375)\/(-876)). Let v = -2\/803 - f. What is the common denominator of v and 11\/21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. Let n = 0.5 - 0. What is the closest to 0.1 in n, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/1386*20 - (-2)\/11) + 50616\/(-456057).\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 + f**2 + f + 1. Let o be b(-1). Let p = o - 4. Suppose p = -3*z + 28 - 1. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1461 and 4\/13149.\nAnswer: 13149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/3 - (-10)\/15. Let j(w) = w**3 - 10*w**2 - 2*w + 14. Let k be j(g). Let v = 50 - k. What is the greatest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 11:20 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-6))**(3\/31)\/((h\/(h**16*h))\/h*h**(-3)\/h) assuming h is positive.\nAnswer: h**(672\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.126 - -2.126. Sort d, -23\/4, 3\/2.\nAnswer: -23\/4, d, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 2, q: 3, r: 1, i: 5, m: 1}. What is prob of sequence jw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -63. Suppose 0 = -4*r - z, -2*d = r - 3*r - 10. Solve 3*t = 5 + d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -31 + 22 + -17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (34\/119)\/((-2)\/7). Let c(t) = t. What is c(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {h: 1, p: 2, i: 1, a: 1, r: 2, m: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 3*y - 3. Suppose -22 - 38 = 30*c. Determine f(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/27 (b) 0 (c) -0.3 (d) -2\/17 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 14. Let a be r(-12). Let u(d) = -2*d - 2. Let h be u(a). Solve -m + 3 + h = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + x - 4. Let m be u(3). Let c(j) = 16*j. Let s(y) = -65*y + 4. Let q(i) = 4*c(i) + s(i). Calculate q(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-10))\/(((-84)\/40)\/7). Solve -5*l = -g*k + 2*k + 27, 5*k + 15 = -4*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32860950 and 5110.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1400 = 3*z + 398. Suppose -m = s - 0*m - 66, -5*s = 3*m - z. Calculate the remainder when 336 is divided by s.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-5 + 45\/10). What is the closest to g in -2\/7, -1\/12, -4\/5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19110098*q - 6370036*q - 6370031*q - 6370030*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -81*q**5\/10 - 16*q**4\/3 + q**2\/2 + 176*q. What is the third derivative of y(t) wrt t?\nAnswer: -972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5044349 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28124 + 396?\nAnswer: 2850a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1534795 + -11641\nAnswer: -11641.1534795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 897\/(-52)*1\/3. Let y = 6 + k. What is the third smallest value in y, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -340, -704, -1292, -2146, -3308?\nAnswer: -4820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2974 or 2962?\nAnswer: 2974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 > 337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssiks. Give prob of picking 1 s and 1 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -503.0623 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.1. Let k = -9 - -9.9. Let v = k + d. Put -1\/6, -2\/9, v in descending order.\nAnswer: v, -1\/6, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*n + 1593 + 167 + 860 = 0 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 5. Let n be d(4). Suppose 4*y - 17 = -7*j + 10*j, 0 = -2*y + j + 9. Put 1, n, y in decreasing order.\nAnswer: y, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44, -41, -38?\n\"Answer: 3*q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1798 and 18?\nAnswer: 16182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15582 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**2 - 4. Let i(d) be the second derivative of d**3\/3 + 6532*d. Give g(i(k)).\nAnswer: -16*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/8, 0.5, 1.6, -0.17?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47\/3 - 469\/30. Let a(d) be the second derivative of 0*d**4 + 0*d**2 + 0 - 2*d + 0*d**5 + j*d**6 + 1\/3*d**3. What is the second derivative of a(c) wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -367678605, -1470714411, -3309107421, -5882857635, -9191965053, -13236429675, -18016251501?\n\"Answer: -367678602*x**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Let w = -7 - -7. Let j = w + -0.5. Which is the third smallest value? (a) j (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41415 - 17231. List the prime factors of a.\nAnswer: 2, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 6*c - 4*c. Is -5 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1067358081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 8, -2\/97, -0.3?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/10)\/x)\/x*x*x\/(x**(2\/7)\/x))\/(x**(4\/11)*x**(-3\/5)*x) assuming x is positive.\nAnswer: x**(193\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 21*r**5\/20 - 19*r**4\/4 - 3*r**3 + 6*r. Factor l(a).\nAnswer: 3*a*(a - 3)*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0.808901\nAnswer: -4.191099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urm when three letters picked without replacement from umuumjeru?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*h + 2*q + 6, -2*q - 4 = 0. Suppose -h*z = 5*a - 732, -z + 3*a = z - 469. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 3874?\nAnswer: 7748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2) + 2 + -2. Let c(y) = -y**3 + 4*y**2 - 3*y + 2. Let g be c(l). Solve 2 = -3*u - v, -4*v + 4 - 22 = g*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 721 - -0.126.\nAnswer: 721.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*v - 86*v - 198 = 0. What is the first derivative of 17 - 93*n - 4 + 46 + v*n wrt n?\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.587442 milligrams in tonnes?\nAnswer: 0.000000009587442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1121099*i + 403193 wrt i.\nAnswer: 1121099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416646 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-1283512)\/(-84) - 6\/(-441)*7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 6*b + 14*b**2)*(-2 + 0 - 1)*(3*b - 2*b - 2*b).\nAnswer: 42*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2. Suppose w - 6 = -j - w, -4*j = -4*w. Let q(m) = -171 + 26*m**j + 171. Give p(q(u)).\nAnswer: -676*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 22*h**2 + 4*h - h - 13*h**3 - 58*h**2 as a*h**3 + j + z*h**2 + l*h and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4143105 to the power of 1\/2, to the nearest integer?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/12 + (-6)\/(-36). Suppose 2*q + 3*j = -3040012, -4*j + 0*j - 16 = y. Round q to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, s: 4, z: 3, b: 2}. Give prob of picking 1 s, 1 w, and 1 b.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30409.\nAnswer: 47, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.99636g to tonnes.\nAnswer: 0.00001599636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 1 - 3)*-1. Let k(i) = -r*i**2 - 3 + i + 3*i**2 + i**2. Give k(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 10*p**2 - 15*p - 27. Does 12 divide a(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 160261260 + 2?\nAnswer: 160261262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230516 divided by -22.\nAnswer: -10478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {w: 3, f: 15}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 335 and 11885.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*n + 5*s, 2*s + 2*s = 0. Calculate the remainder when 215 is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32451, 32453, 32457, 32463, 32471?\nAnswer: 32481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 4*g = 56. Let b be (-120)\/g + (-6)\/21. Solve -r = -3*f - 7 + 20, -1 = b*r + 5*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f + 16 = 0. Let d = f + 13. Suppose -d*h - n + 6*n = -25, 0 = 2*h + 3*n - 15. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1620893775?\nAnswer: 3, 5, 21611917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1191, 8, 1207, 2406, 3605?\n\"Answer: 1199*v - 2390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o, -5*k + 10 = 4*o - 6*o. Let z = 5\/24 - 1\/24. Let b = 1\/2 - z. Sort k, -0.04, b.\nAnswer: -0.04, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 3*i - 5. Let y(o) = 4*o - 3. Let n be y(2). Suppose -2*s = n - 1, -30 = -4*p + 5*s. Is u(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1.5, -7 in ascending order.\nAnswer: -7, -1.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102247 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -969214 + 2*b**2 + 969214.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 401 = -6*r + 3*s, -r - 2*s = -92. Suppose 7*n + r = -126. Which is smaller: -34 or n?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910 = -96*m + 87 - 617 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2595 (base 11) in base 14?\nAnswer: -132b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3862 (base 12) to base 13\nAnswer: -2bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*n = 221*n - 682 - 1287 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1543 divided by -4474.\nAnswer: -1543\/4474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.096 - 0.09719. What is a rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by 74\nAnswer: -51\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 7*b + 2*b = 6, -o + 3*b - 10 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 3. Let x be f(-1). Suppose 2*h - 61 = x*g, -2*g = 7*h - 10*h + 20. Which is greater: -64\/5 or g?\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 402519310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1088))**2 - sqrt(170)\/sqrt(250).\nAnswer: -sqrt(17)\/5 + 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 739*k**3 - 2*k**2 + 5*k - 3. Is c(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(3\/66*2). Let f be (b\/(-18))\/(5\/(-4)). Let z = -4\/5 + f. Is z != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-108) - 8\/(-96)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 50.94.\nAnswer: 53.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 greater than or equal to 1758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 40*y - 93. Determine l(9).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -97 + 80 - (0 - -7)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271181 is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + 7. Let c = q - 38.9. Let b = 2 - c. Is b less than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (430\/(-50) + 8)*15. Let n(l) = 4*l + 41. What is n(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 + 42*x + 13. Let b be j(-8). Let c(y) be the third derivative of 18*y**2 - 1\/6*y**3 - 1\/24*y**4 + 0*y + 0. Calculate c(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u**3 - 64*u**2 + 2*u**4 + 40*u**2 - 33*u**5 + 4*u**4 + 92*u**3 = 0 for u.\nAnswer: -2, 0, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b - 2 = 0. Let a(f) = -f - 2. Let p be a(b). Suppose 3*l = -p*l. Solve -2*d = -l*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 - 117*x**2 - 1154*x - 439. Calculate y(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 422847.4 + -422847. Let p = 96 - -7. Are p and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/(-4) - (4*(-700)\/(-80) + -32)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 6*t**2 - 21*t - 10. Let y be w(9). Suppose 0 = 5*p - y - 6. Solve 2 = -3*g - 2*k, 4*g = -k + 2*k - p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4660968g?\nAnswer: 466.0968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 8:13 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cc5 + -4?\nAnswer: -cc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0098277 to four decimal places.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -110*m**2 - 1371*m - 11. What is a(-10)?\nAnswer: 2699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2250400 to the nearest ten thousand.\nAnswer: 2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 83194.36 to the nearest 10.\nAnswer: 83190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 469 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 1415d?\nAnswer: 1415e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from kunzzazzbbakbbakbnzk.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82548 is divided by 1556?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 4*d - 3. Let k be n(-2). Suppose 10 = 4*y - k*y. Let b = -0.1 + 0. Sort 0.3, b, y in increasing order.\nAnswer: y, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/108 + (14\/4)\/7. Let k(w) be the first derivative of -w + 0*w**2 + 1\/2*w**4 + x*w**3 - 12. Give k(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 10*b + 1. Let p(j) = 0 - 11*j + 0*j**2 - j**2 + 1. Let g(f) = 4*h(f) - 3*p(f). Let q be g(-7). What is the nearest to q in 3, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-784)\/36)\/(-4) - (-16)\/(-36). Solve -b*j + 24 = 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3167 - -3170. Let m = 6 - 6. Sort m, -2, 0.5, v.\nAnswer: -2, m, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4363\/28152 + -10\/391. Let l = -3470\/81 + 112147\/2592. Calculate the common denominator of j and l.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 3. Let y be r(-4). Let n(c) = -6 - c + 0*c - 11*c**2 + y. Suppose 5*p + 4*g = 8*g - 25, 0 = -3*p - 3*g + 12. Calculate n(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/7 + 1102*b\/7 + 4440\/7 = 0.\nAnswer: -4, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111 (base 2) in base 6?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 61 = -2*w, 4*w = 4*o - w + 79. Let m be o\/(-4) + -2 - 3. What is the third biggest value in m, -4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 12:33 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**4 + 2*z**3 - 11*z**2 - 4*z - 2. Let k(c) = -12*c**4 - 9*c**3 + 45*c**2 + 15*c + 9. Let o(h) = 2*k(h) + 9*v(h). Let o(r) = 0. What is r?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27a9 + -412?\nAnswer: -2bbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -150, -590, -1324, -2352, -3674?\n\"Answer: -147*n**2 + n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 3*o + 5*w, -o = 54*w - 52*w - 46. Solve 6*y = o - 20 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.56514*-37.\nAnswer: -353.91018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - -34. Suppose -5*k - h = -0*k. Let q(u) = -u**2 - 12*u - 8. What are the prime factors of q(k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.36 + -153.64. Let t = -166.5 - m. What is the third biggest value in t, 2\/7, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1769*a**4 + 1138*a + 2. Let r(v) = 8844*v**4 + 5695*v + 11. Let w(f) = -2*r(f) + 11*x(f). What is the second derivative of w(k) wrt k?\nAnswer: 21252*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*32\/24*8\/(-32)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144418 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/4, -0.15, -0.32 in decreasing order.\nAnswer: 9\/4, -0.15, -0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -53, -82, -111, -140, -169?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -10*y + 99. Let v be j(10). Which is the closest to -125? (a) v (b) 2\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(11)*1 + 1 + sqrt(11) + -2 - (0 + (4 + sqrt(11) + (-1*sqrt(11) - sqrt(11)))**2).\nAnswer: -28 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 2. Let i(b) = b - 2. Suppose -5 = k + 2*f, 3*k = 2*k - 3*f - 5. Let j = 11 + k. Suppose -5*q + j = -3*q. Determine q*y(c) + 4*i(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1484 + 1488. Which is the nearest to z? (a) -0.5 (b) 3 (c) -2 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*w - 2*w + w)*(0*w**2 - 1 - 24*w**2 - 5*w**2) in the form j*w**3 + g*w**2 + l*w + v and give j.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l - 8. Calculate h(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-10) + 16\/(-30). Let p = 3.0025 + -0.0025. Put o, p, -5 in ascending order.\nAnswer: -5, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*u + 71, -u + 2 = -2*y - 7. Suppose u*h - 51 = 16*h. Is h not equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47.487224 + 0.13233675\nAnswer: 47.61956075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-15) + (-37)\/(-5). Suppose 25 = -5*g - 0*g, -4*d = 3*g + r. Solve 0 = d*j - 2*v - 8, -3*j - 3*v = -v + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1843 divided by 3429\nAnswer: 1843\/3429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 62 = -a, 127 + 17 = 3*a - 2*v. Suppose 0*x = 5*x - a. Solve x = i - 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*b - 10*b + 20*b + 226*b**2 + (-b - 4*b + 6*b)*(-1 + 2*b + 1).\nAnswer: 228*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 + 1537*b + 2 - 5*b**3 + 1541*b - 3071*b to a*b + v*b**2 + z + r*b**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 25*g - 21*g + 73*g - 19*g - 23*g to u*g + n and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -15. What is the third derivative of -3*u**6 + 0*u**2 + 3*u**j - 12*u**2 wrt u?\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -701*y + 1303*y - 600*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*x = -4003, -1586 = -27*q + 25*q + 5*x. Calculate the greatest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110.8 - -120.3. Let g = 55 + -43.6. Let w = g - x. Round w to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3447514052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 737577.225s in weeks?\nAnswer: 1.2195390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8909\/(-4454) + -6 + 8. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -637.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -210*c**2*u**2 + 135*c**2 + 2*c + 2*u**3 with respect to u.\nAnswer: -420*c**2*u + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**(-2))\/h*h)*h**(-4)\/h)\/(h**(-1\/3))**(-6\/7))\/((h*h**1*h)**(-22)\/((h*h**(1\/3))\/h**(-3\/4))) assuming h is positive.\nAnswer: h**(5443\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 9 - 6 = 0, -209 = -3*o - 2*s. Let a be 10*(2 - (-3)\/(-2)). Suppose -o = -b - 0*b + 2*m, -a*m = -b + 61. What is b rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -1\/4*x**4 + 4*x + 0 - 1\/2*x**3 + 1\/20*x**5 - x**2. Let m be q(4). Solve m*p = 8 + 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 2627*c - 10*c**3 - 2*c**3 + 4*c**3 + 2627*c + 4*c**3.\nAnswer: -4*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 524*k + 8361. Determine l(-16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1498 and 69 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ec + 585?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2317.\nAnswer: 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -2*l - 2*r, -5*l + 4*r - 2*r + 463 = 0. Suppose l = 17*c - 162. Solve 4*t + 10 = -2*v, 3*v - 3*t + 7*t + c = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as 2.542844304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 6*q - 3. Suppose 4*o - 35 = l - 6*l, -28 = -4*l - o. Let p be n(l). Suppose 2*y = p*y - 10. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10*o\/(o*o*(o*o**16)\/o*o)*o)**(-19) assuming o is positive.\nAnswer: o**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from {d: 3, t: 1, x: 11}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7403*w**4 + 3217*w**2?\nAnswer: -177672*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/6 - 340\/110.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 284\/6674 - 636188\/(-94)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*o - 1, i + 5*o = 6*i + 5. Let s(l) = -5*l**2 + 4*l**2 + 0*l**i + 5*l - 3. Let r = 24 - 21. Give s(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4082 a factor of 113989850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592213 is divided by 259?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.207095402 rounded to three dps?\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**3 - 18*o**2 + 8*o**2 - 28 - 10 + 7*o**2 - 2*o - 22 to the form t*o**2 + f*o**3 + j + m*o and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, -3, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s - 241 = -4*h, 3*h - 5*s - 175 = 0. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 925, 3723, 8397, 14947?\nAnswer: 23373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, u: 1}. Give prob of sequence mmm.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4 - 0, 2*b = -j + 43. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 94 - 282 - 222 + 8*t**2.\nAnswer: 8*t**2 - t - 410","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(1 + 4*r**2 - 1) - 3*r - 6*r**2 - 12 + 12.\nAnswer: -10*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7957638 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4979 divided by -13969\nAnswer: -4979\/13969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197039862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 9*h + 15. Let i be (-2)\/(-7) - (-192)\/14. Suppose 2*j - 32 = -i. Let a be p(j). Solve 3*f + a = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 8:08 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 2 - 2)*(5*q + 0*q - q) - 2*q - q + 2*q + (-2*q + 3*q + q)*(3 + 1 - 2) + 3 + 2*q - 3)*(10 - 6 + 0) in the form t + d*q and give d.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, x: 4, t: 2}. What is prob of picking 1 x and 2 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**5\/60 - k**4\/24 + k**3\/3 + 1. Let h(o) be the third derivative of x(o). Find the first derivative of h(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Suppose 7*l - 2*l - 160 = 5*i, -y*i = 5*l - 192. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 3. Determine w(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 491 divide 329529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3718678 and 20.\nAnswer: 37186780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -125 + 44?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5 + 6118689*b**4 - 128491587*b**3 + 899439051*b**2 - 2098688718*b.\nAnswer: -3*b*(b - 2039542)*(b - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 164530661573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*i + 4*i = 124*i - 2198 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + (sqrt(110) + sqrt(110) + ((sqrt(110) + sqrt(110) + 2*sqrt(110))*2 - sqrt(110)) + sqrt(110))\/(1*sqrt(20)\/sqrt(2))))**2*-6 + 5.\nAnswer: -107995 + 9600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*i + 1 + 2, 0 = -5*i - 10. Suppose -b*k = -4*k - 65. Suppose -70*p + 112 = -62*p. Which is bigger: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7 = 2*l, -2*g + 3*g - l = 5. Solve -17 = g*h - 5*c, -2*h + c + 19 = -7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**3\/3 + 3*o**2\/2 + 2*o + 1. Let d be v(-3). Calculate the greatest common divisor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/((-10)\/(-300)*10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 100278, 200596, 300914, 401232, 501550?\n\"Answer: 100318*i - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -26*h**3\/3 + h**2\/2 + 617*h - 2359. What is the first derivative of a(g) wrt g?\nAnswer: -52*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.032 * 103.64\nAnswer: 3.31648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (348\/435)\/(14\/10).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -42. Let w(d) = d**2 + 13*d + 5. What are the prime factors of w(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4857 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 53*i + 363. Determine o(-68).\nAnswer: 1383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**9\/7560 + 3*a**8\/7840 + a**7\/4410 + a**4\/6 - a**2. Let p(i) be the second derivative of g(i). Factor p(q).\nAnswer: 2*q**2*(q + 1)*(7*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29833\/7 + 4262. Sort -3, 5\/6, t in decreasing order.\nAnswer: 5\/6, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9353200, 18706395, 28059590?\n\"Answer: 9353195*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190*b**6 + 1210*b**2?\nAnswer: -22800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 5*h + 9*h)*(0 + 3 + h**2 - 1).\nAnswer: 3*h**3 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:58 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*a + 3*a - 2*y, 4*y - 17 = -3*a. Let h be 21\/(-49) + (-18)\/a + 5. Suppose -h*r + 152 = -2*g - g, r - g - 75 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(-7179 + 7035 + 8082)*(0 + 0 + o**2) to r + b*o**2 + w*o and give b.\nAnswer: 7938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y - 87*y**4 + 2*y**2 + 10*y + 41*y**4 + 2*y**3 + 45*y**4 - 189 as v*y**2 + t*y**3 + a*y + x + k*y**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 182120 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -118557 (base 10) in base 11?\nAnswer: -8108a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 9:28 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -26?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 34, 48, 62, 76?\n\"Answer: 14*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 15. Solve t = 4*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 6. Let y be a(6). Suppose -5*w + 4*w + 4 = -g, y = -4*w - 3*g + 2. Let q = w - -2. Solve -q = -0*l + 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1512\/(-1134))\/((-10)\/255)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 20. Let y(w) = -w**3 + 5*w**2 - w + 3. Give y(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**4\/8 - 5*d**3\/6 + 2*d**2 + 9*d + 165. Let v(s) be the second derivative of f(s). Calculate v(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 338, -3, -117, 1\/2 in ascending order.\nAnswer: -117, -28, -3, 1\/2, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 27 = 14*t. Suppose 0 = -0*v + t*v + 4*i + 4, -4*i = 4*v + 4. Solve -f + 2*d = d, v = 2*f + 5*d - 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((2 - 2)\/(-3))\/(-2). Let v = 313 + -315. Is v < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -175123\/32 - -5474. Calculate the common denominator of 9\/(-40)*30\/(-4) and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1591*j - 54586 = 67921 for j.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 274153\/239547*-1 - (-4)\/42*12. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 25 = -35. Suppose -3*x = 6 - v. Suppose 0*f = x*f. Let c(b) = b**2 + 1. Calculate c(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 0. Let w be (-36)\/a + -1 + 3. Let v = -1 - w. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 n, and 1 v when four letters picked without replacement from nkrkrvnvkkrrk?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2626642 + 5?\nAnswer: -2626638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2\/7 + 712*q\/7 + 61632\/7 = 0.\nAnswer: -72, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10981 and 3081345467.\nAnswer: 10981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194187 divided by 36.\nAnswer: -64729\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - 2*o**2 - 4685*o + 9362. What is d(2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/((-6888)\/(-3528) - 2\/(-42)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1161, 1113, 1065?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/19, -2\/3691, -2\/5, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - h**2 - 7. Let v be w(0). Let q = v + 10. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-37 - -18)) + (5 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(2299) + -2 + -2*sqrt(2299))**2 + (0 + (sqrt(171) + sqrt(19))**2)*-6 + 0 + -5.\nAnswer: -66*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**36)**(2\/3)*(o\/o**(-38))**(8\/9) assuming o is positive.\nAnswer: o**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/12 + -2 + 625\/30. Let r(t) = t**3 - 19*t**2 - t + 45. Let n be r(m). What is the greatest common factor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021422 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2362, -17511, -58246, -137359, -267642, -461887, -732886, -1093431?\nAnswer: -1556314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -978*r**3. Let b(i) = -384353*i**3. Determine -5*b(j) + 1966*p(j).\nAnswer: -983*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) - 0 - 6\/(-21). Let k(m) be the second derivative of 0 + o*m**2 - 3\/20*m**5 + 1\/4*m**4 - 1\/6*m**3 + 2*m + 1\/30*m**6. Find r, given that k(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.3026 + 0.1126. What is u rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42*8\/(-132))\/((-6)\/66*2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7213*l**2*u**2 - 3224102*l**2 + 50*u**4 - 3 wrt u.\nAnswer: -14426*l**2*u + 200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g*i**3 - 158534*g*i*w**2 + 5*i**3*w + 8467*i**2*w**2 wrt g.\nAnswer: 3*i**3 - 158534*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1184\/39 + -9041\/234. Calculate the common denominator of z and (-2816)\/(-264)*(-1)\/(-23).\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -2*l**3 + 3*l**2\/2 + 10*l. What is the tens digit of g(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**9\/60480 + y**8\/2880 + y**7\/5040 - y**6\/80 + 8*y**5\/3 + 5*y**2 + 18. Let k(g) be the third derivative of t(g). Give k(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4367 and 264?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**5 + 1935*l**4 + 94850*l**3 + 1185900*l**2 + 2392520*l - 10318560 = 0.\nAnswer: -332, -37, -14, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 36 = r, 4*r + 91*v - 17 = 94*v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/4))**7)**(-4\/5) assuming t is positive.\nAnswer: t**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24.038 + -0.038. Let z = -12 + h. Let s = z + -11.8. Which is the third smallest value? (a) 3\/2 (b) -6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h + 6*h**2 - 20*h - h**2 - h**2 to the form u*h + z*h**2 + i and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 21*z**2. Let r(u) = 2168*u - 10. Let g be r(4). Let p(k) = 2*k**2 - 7*k**2 + g*k - 8662*k. Determine p(o(s)).\nAnswer: -2205*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 49 = -71. Suppose -2*d - 60 = 3*d. Let b = d + y. Which is smaller: 15 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/((-3)\/84). Suppose g*n - 22*n = -3072. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150333 at most as big as 150329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.485 + 0.4850231. What is h rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.62 + -4.22. Which is the third biggest value? (a) -10 (b) 4 (c) 0.5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*1*-1*2 + (2 + sqrt(99) + 3 - ((sqrt(99) + -1 + 5 - sqrt(99))**2 + sqrt(99))).\nAnswer: -6*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1683268591?\nAnswer: 1683268591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (11 - (0 + -4 - -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Let x = b + 3. Suppose -k = -x*k. Solve -w - 2 - 1 = k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.42 and 48.\nAnswer: 452.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in -0.3, -0.7, 0.03?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*t - 72 = -965 - 589 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -3*o + 4, -o - 4 = 3*v - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 10 = 4*f. Let d be 0*(2 + 1 + f). Suppose d = -4*x - 113257 - 1246743. Round x to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odddodydqqdd. What is prob of sequence qdd?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002506761905 to seven decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, -45, -249, -635, -1263, -2193, -3485, -5199?\nAnswer: -7395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2479 (base 14) in base 8?\nAnswer: -14353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 6:35 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 4, 25\/149, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 142359 + 27558919.\nAnswer: 27701278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22464159 - 22464170.000067. Let n = 11.6 + -0.6. Let h = l + n. What is h rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 68\/3 + -3 + (-10)\/(-3). Suppose -x*v = -28*v + 165. Calculate the remainder when 262 is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -w + 4. Suppose -4*q = q - w. What is the third derivative of -3*s**2 - q*s**2 + s**4 - 9*s**4 wrt s?\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3340\/3 in -1\/3, 4, 0.3, 2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1086929 - 705016. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/21)\/((-8)\/(-8)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 75. Let l = 95 - 85. Let q be 5*(-14)\/l*4\/(-14). Put q, -1, n in increasing order.\nAnswer: n, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/7)\/((-18)\/63)*-7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 518\/70 - -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/56 and (-1*(-287)\/(-56))\/1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 28669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 33 + 116)*(-2*s**5 + 4*s**5 - s**5).\nAnswer: 41*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-42)*399\/513?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-120)\/(-160))\/((-42)\/(-16)))\/1. Put -3\/2, -1.3, 14, c, 3 in decreasing order.\nAnswer: 14, 3, c, -1.3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57054594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.222 + 0.731. Round s to 2 decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -612807090+62648\nAnswer: -612744442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 9*u**2 - 664*u**3 - 11*u**2 + 4*u**2 - 2 as x*u**2 + w + i*u + n*u**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-4))\/c)\/(c**(1\/11)\/c)*c**(5\/3)*c**(-10\/9) assuming c is positive.\nAnswer: c**(-251\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101718267 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164615.68 rounded to the nearest one thousand?\nAnswer: 1165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313968 is divided by 799?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/2 + 431*y + 185761\/2.\nAnswer: (y + 431)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152818 + 146247164\/957. Let d = 7\/87 - f. Suppose 6 = -5*n + 1. Is d at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663549 and 80736?\nAnswer: 2523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 = -0*c + f, 5*f = 15. Suppose 17 = n - 3*v, 2*n + v + 1 = -c*v. What is the third derivative of 3*b + 0*b - n*b**4 + b**2 - 3*b wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-78)\/91)\/(3*(-6)\/43176)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from ppwpwwb.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -184, 67\/769, 5?\nAnswer: 67\/769","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 694821 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16639211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/((-29)\/(-348))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**4 - 4*h**4 + 4*h**4)*(155*h - 728*h + 389*h) + (-3*h - h + 5*h)*(0*h**4 + 0*h**4 - 2*h**4) + h**5 + 0 + 0.\nAnswer: -921*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 - 8*w - 2. What is the remainder when f(-3) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z - 59*z - 10*z.\nAnswer: -51*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 6:04 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -62. Let n = -5 + d. What is the remainder when (-3)\/n*(10 + -4)*-6 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 2*m - 1. Let l be n(-2). Let p(j) = 0 + l*j + 3 - 1. What is the least common multiple of p(2) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*w + o - 9 = 0, w - 16 = -3*o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2916 - -2908. What is the second biggest value in 0.2, 1\/12, w, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*n**4 + 0 - n**2 - 6*n**4 - 4*n**2 + 2*n to the form r*n**4 + q*n + h*n**2 + z*n**3 + i and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 11*y**3 + y - 1. What is l(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(2*r - r + 0*r) + 1449*r - 2023204 + 2023204.\nAnswer: 1447*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 10*n**2 - 11. Let y(w) = w**2 - 1. Let c(k) = -l(k) + 6*y(k). Let i be c(-4). Solve -6 + 1 = -i*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.11808509 and 2578165.\nAnswer: 2578164.88191491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.48 - 3.32. Let m = -4 - w. Let t = 3.1 + -3. Which is the third biggest value? (a) t (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156730186.\nAnswer: 2, 78365093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*p = -0*r - 44, -3*r + 70 = 2*p. Suppose 3*k - 8*d = -5*d + 18, -5*k + r = -4*d. Solve 5*y + k*v = 0, -y - 12 = 5*v + 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*y + 4*y + 3*y - 5*y in the form t + z*y and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1136, -0.5, 0, 4334\/9?\nAnswer: 4334\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/928096 and -53\/9312.\nAnswer: 2784288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/28 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45.068 + 0.068. Let u = r + 49. What is the second smallest value in -1, u, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*f*z**4 + 11629572*f*z**2 - f*z - 30*f + 940524*z wrt z?\nAnswer: -120*f*z**2 + 23259144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4\/5 - 948180*o**3 + 1873006326594*o**2\/5 + 749205375180*o + 1873015808403\/5.\nAnswer: 3*(o - 790151)**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 404 - 101?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/330 and -101\/30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 29501.\nAnswer: -38\/29501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 6) to base 7.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 1, x: 1, g: 1, y: 2, b: 2}. What is prob of picking 1 y and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(-28)\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3131041452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d - 110386 - 124814 = -61654. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -680 and -680 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 501 = -3*f - 505, 5*f - 10 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68278827.\nAnswer: 3, 47, 683, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d - 60 = 150. Let k(c) = -c**3 + c**2 + c + 1. Let r(n) = -3*n**3 + 2*n**2 + 2*n + 4. Let a(f) = 4*k(f) - r(f). Let y be a(3). Is y at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2 (b) 3\/11 (c) 219\/7 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 726\/44*(-3)\/(-66)*8\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 - 1 + 2 + z + 0 wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 20\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 98782*j**4 + 27644.\nAnswer: 395128*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**4\/4 + 4*a**3\/3 - a**2\/2 - 3*a - 3. Determine c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 6:33 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217023?\nAnswer: 3, 72341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 4. Let h(d) = 2. Let m(l) = 7*h(l) + 3*n(l). Let w(r) = -10*r - 7. Let t(j) = -14*m(j) - 4*w(j). Let g(k) = 5*k**2 - 3. Give g(t(b)).\nAnswer: 20*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-162)*-21)\/(10\/120).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmvmm. Give prob of sequence mvvm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7350.037nm?\nAnswer: 0.000000007350037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.0871209\nAnswer: -0.4356045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9315*n**2 - 9588*n**2 - 158*n - 207*n + 18*n wrt n.\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-19 - -15 - -7 - 16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1846329.\nAnswer: 3, 31, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 191*a**2 - 26*a**2 - 65*a**2 - 42*a**2 to p + g*a + u*a**2 and give u.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 5:17 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y**3 - 2088129*y**2 - 2784169*y\/4 - 116007\/2.\nAnswer: -(y + 232014)*(6*y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-92)\/(-25))\/(30\/(-25)))\/((-9754)\/(-24385)).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -7214828\nAnswer: -3\/7214828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-2\/5)*f))\/f*f**(-1\/6))\/((f\/f**0*f)\/f**(-1)))\/((f**(-6)\/f)\/f*f**10*f*f)**20 assuming f is positive.\nAnswer: f**(-2513\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 27 + 3)*(10 + 0 + 2*x - 8).\nAnswer: -88*x - 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (sqrt(1800) - 2*sqrt(1800)) + -4)**2 + (-5*sqrt(90)\/(sqrt(15)\/sqrt(3)))**2.\nAnswer: 216*sqrt(2) + 1924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15540680 or 16?\nAnswer: -15540680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13011041402 + 4?\nAnswer: -13011041343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -179979+-0.0315\nAnswer: -179979.0315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -13 + 8. Suppose -4*y = y + n, 3*g = -4*y - 1. Solve g + 4 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2543 - 13?\nAnswer: 2530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -554 - -558. Find the first derivative of -92 + 46*w**q + 72*w**4 + 100*w**4 wrt w.\nAnswer: 872*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23697322?\nAnswer: 2, 11, 449, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 768?\nAnswer: -772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 8380?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -700559*d**4 + 8*d - 9667 wrt d?\nAnswer: -8406708*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = -8. Let t be 2*m\/(-4) + -1. Suppose -t*s - s + 24 = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**8\/6720 - d**7\/504 - 7*d**6\/720 + d**5\/60 - d**4\/12 - 11*d**2. Let n(g) be the second derivative of b(g). What is n(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(-6*sqrt(125)))**2 + 5 + (-3*sqrt(2)*-5 - -4*(sqrt(50) + sqrt(2))**2).\nAnswer: 15*sqrt(2) + 131851\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6464*o + 97966 = -9359*o + 3236*o + 979056 for o.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6715*g - 9103*g + 119400 = 0 for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d + 1. Let r = 28 - 14. Let q be (r\/(-21))\/((-4)\/6). Let a(i) = -i + 1. Determine q*s(n) - a(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 - 9*t - 1. Let l be x(-5). Let u = l - -900. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*h - 246195 = 80*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - sqrt(162)*1*-5)*1)\/((-1*sqrt(441)*5 - sqrt(441))*-6).\nAnswer: sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*(k*k\/k**(-1))\/k))\/(k*k**(-7))*(k*k**7*k)\/k**8)\/(((k\/((k\/k**(-6))\/k))\/k*k*k)\/k*k**(5\/6))**(4\/5) assuming k is positive.\nAnswer: k**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 97\/(-776) - 47\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.5443 litres in millilitres?\nAnswer: 208544.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 9:46 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 28 = -42. Let x = l + 16. Calculate the lowest common multiple of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 - 11*u + 6. Let i be r(-6). Put 4, i, -1, -5 in descending order.\nAnswer: 4, i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6818.\nAnswer: 2, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 at least -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -520 divided by 40\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 5:28 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108984553965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*b - 4*t, 4*b + t = 3*t - 2. Let z be (5\/15)\/(b\/(-318)). Let h = 74 + z. Calculate the highest common divisor of 147 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:06 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a45a6a + 1?\nAnswer: 1a45a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16705741947.9 and 17?\nAnswer: 16705741930.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 4*j - 3. Let n(b) = 2*b**2 + b - 2. Let v(r) = 3*n(r) - p(r). What is the first derivative of v(g) wrt g?\nAnswer: 8*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17b (base 13) in base 15?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -24. Let c be (-1)\/(4\/z*-4). Let i(j) = -2 + 3*j + 3 + 2. Give i(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h. Let l(f) = -55*f - 487792 + 487792. Give g(l(r)).\nAnswer: 440*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 216\/(-48)*(-4)\/9. Suppose -q*s = x - 1087, -4*x - 3*s + 4375 = -4*s. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 6:39 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11030 (base 6) in base 10?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373 + 665 = 39*m - 1645 - 944 for m.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 11 - 109 = 0. Let r = -24 + m. Suppose 3*d + 3*d - 252 = r. Which is smaller: 43 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002201 (base 3) in base 7?\nAnswer: -2224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30526 or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1133.8 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 18. Suppose 3*d + p*h - 3*h = 384, 0 = 4*d + 4*h - 504. Let w = d - 32. Calculate the remainder when w is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*a**3 + (0*a + 2*a**2 + 0*a)*(-5*a - a + 4*a) + (-28 + 50 - 29)*(4*a**3 + 0*a**3 - 2*a**3))*(-1 + 1 - 1)*(3 + 6 + 1).\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57638 is divided by 3810.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j - 8. Is -278*(1 + 3\/j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3576)\/3278*(-176)\/36.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 125aa96 (base 13) to base 6\nAnswer: 322535251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3947055 - 137154.\nAnswer: 3809901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 115*u + 282. What are the prime factors of o(8)?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, t: 2}. Give prob of picking 3 r.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 - -11011122121120?\nAnswer: 11011122120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 37*q + 33. Let l = 143 + -140. Let i(h) = 6*h**2 + 186*h + 166. Let o(m) = l*i(m) - 14*j(m). Solve o(z) = 0 for z.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -5*z - 25, x = z + 7. Let w(q) = 30*q - 12. What are the prime factors of w(x)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 44789 + c - 3*c.\nAnswer: -2*c - 44789","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sddsdd. What is prob of picking 3 d and 1 s?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 22\/11 + -7. Let d = 7 + -1. Calculate the remainder when 15\/d*(-68)\/b is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/61 + 91\/1830. Let t(h) be the third derivative of 0 + 4*h**2 - 1\/3*h**3 + 1\/120*h**6 - 1\/24*h**4 + 0*h + m*h**5. Factor t(b).\nAnswer: (b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 2) to base 5.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 + 3 - 5 + 0*f**3)*(-521*f + 61*f**2 + 521*f).\nAnswer: 122*f**5 - 122*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1560202?\nAnswer: 2, 7, 111443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -387 (b) -0.4 (c) 0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 11*r**2 + 2. Let f = -32 - -21. Let l be w(f). Solve n - l = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*g + 4*g = -62, 56 = 2*s - 4*g. What is the highest common factor of 51 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31759 divided by -2279?\nAnswer: -31759\/2279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 10:19 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*t + 660 + 651 + 25*t - 32*t - 1311.\nAnswer: -66*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -213 + 205. Let j(h) = -62*h + 31. Is j(k) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhlhlllllllcchhlhlll. Give prob of picking 3 l.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 3)*5\/(-195)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 27. Suppose -4 = -s*a - 76. Calculate the smallest common multiple of 8 and a\/10*55\/(-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559028 + (-98)\/(-112)*24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -42, -1343 in descending order.\nAnswer: 5\/3, -42, -1343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 - 7*h - 12. Give i(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 13, 28, 61, 118, 205?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1142 and 0.19746785724.\nAnswer: 0.31166785724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41814539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(0 + 4\/(-12)). Suppose 2*q - 6*q - 5*w + 63 = s, -w = -4*q + 45. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 18 = -k, -27*b + 29*b + 16 = -3*k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 0)*(-1)\/6. Let x(l) be the second derivative of 1\/4*l**4 + 1\/20*l**5 + 3\/2*l**2 + 0 - l + s*l**3. Calculate x(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1768, 7061, 15882, 28231, 44108, 63513, 86446?\n\"Answer: 1764*r**2 + r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v = -16. Let l = -1 + -4. Are v and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6735, 6806, 7159, 7932, 9263?\nAnswer: 11290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 3) in base 16?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10062501 + -4?\nAnswer: -10062505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p - 65. Calculate n(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022 is divided by 950.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 3*t - 1, 122*a - 120*a + 4*t = 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**5\/20 - 5*c**4\/12 + 5*c**3\/6 - 3*c**2\/2 + 2*c. Let n be l(-6). Find the second derivative of m - 8 + 8 - n*m**5 wrt m.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**8*o)\/((o**(3\/5)*o)\/o))**(-2\/135) assuming o is positive.\nAnswer: o**(-28\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 26787 + 29624 = 4*d, -d + 5*o + 14090 = 0. Let a = d + -2748. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 16 = 2*v, 0*g - 2*g = -5*v - 35. Let t be 6\/(-2)*g\/(-6). Suppose -c**2 + 0*c**3 + c**4 - 1\/2*c + 1\/2*c**t + 0 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/12)*(z**(-10)*z)\/z)**(-4\/21) assuming z is positive.\nAnswer: z**(115\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258.03402 months to decades.\nAnswer: 2.1502835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 30 = -4*q, -6*q + 5*q = x - 9. Suppose 4*z + 0*z = -0*z. Put z, -2, q in descending order.\nAnswer: q, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m = 17*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and 48218.\nAnswer: 48229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79159, 161647, 244149, 326671, 409219, 491799, 574417?\nAnswer: 657079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*y + 5*n + 815, 2*y - 538 = 4*n. Let k = y - 185. Calculate the smallest common multiple of k and 14.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.06 - 0.06. Let a be (23 - 3534\/152) + 0. What is the second smallest value in a, 9, v, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 29299.725 and 102799.\nAnswer: 132098.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41005811 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -i + 6, 2 = -222*y + 217*y - i + 4*i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/257 - 2317\/1028. Let t(s) = s - 3. Let c be t(3). Which is greater: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6174\/637)\/((-159)\/(-1378))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((-4)\/((-4)\/3)). Let c be ((-5)\/(-11))\/(1 + g). Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3)*t*(t*t*t**(-1\/2))\/t*(t*((t**(-2)*t*t)\/t)\/t*t*t)\/t**(-5\/4))\/(t**(1\/4)\/t*t\/(t\/(t\/(t*t\/(t\/(t\/(t\/t**7*t)))))))**(-29) assuming t is positive.\nAnswer: t**(-575\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3, 25, 83, 195, 379, 653, 1035?\n\"Answer: 3*k**3 + k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -911*w - 54768. Give x(-60).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -100699*k + 3. Let z be n(4). Let r = z + 152793. What is r rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1053 - 1034. Suppose 3798 + 5322 = u*b. Is b a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 94 = -110. Let h = 55 + m. Let x = -4 - -8. Is x > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 0)\/(-2) + 5. Suppose -4*j + 0 + 26 = -2*w, n*j - 3*w - 29 = 0. Let b(h) = -h**2 + 8*h + 2. Let q be b(8). Solve -s + j = -q*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 267016 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -20*q**3 + 564945*q**2 - 706155*q + 141230 = 0.\nAnswer: 1\/4, 1, 28246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -80, -107, -152, -221, -320?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029907 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*i**2*x*z**2 + 269*i**2*x*z + i**2 - 2*i*x*z**2 - 18*x*z**2 - 657*x wrt i?\nAnswer: -28*x*z**2 + 538*x*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 42 - 1 - 29 + 12*o + 3 - 3. Let u(d) = d + 1. Suppose 3*w - 16 = -4*j + 8, -j = -w + 1. Suppose -j*a - 5 = -8*a. Determine a*p(t) - 10*u(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - f + 3. Let i be d(0). Suppose -6 = m + i*b, -2*m + 2*b - 7 = 7*b. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d + 20 = 0. Suppose i = d*i - 87. Suppose 5*r - 4*o = 59, 3*r + 2*o - i = -2*o. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55036 divided by -2?\nAnswer: 27518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 take away 3824400100522?\nAnswer: -3824400100544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 3213.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 1:24 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggkgkggkkk. Give prob of picking 1 g and 2 k.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-582)\/485*(-145)\/4)\/((-6)\/(-4)). Let a be 6\/15 - (-8694)\/15. Calculate the highest common divisor of a and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5}. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {q: 3, u: 3, t: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2205839.\nAnswer: 2205839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76912, 153826, 230740, 307654, 384568, 461482?\nAnswer: 538396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 46*w**2 - 11*w. Let f(z) = z**2 - z. Calculate -22*f(b) + 2*q(b).\nAnswer: 70*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, 5, 62, 3 in decreasing order.\nAnswer: 62, 10, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeememeeeme. What is prob of picking 2 e?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 - 3*b**5 + 0*b**5 - b**5 - 2*b**5 + 4*b**5 + (3*b**4 + b**4 - b**4)*(-b + 2*b - 3*b) - 25*b**4 + 9*b**4 + 9*b**5 + 18*b**4.\nAnswer: 2*b**5 + 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -414 + 420. Which is the biggest value? (a) 0.2 (b) -3\/29 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 369 + -618. Let w = 356 + k. Suppose 0 = 2*x - w - 87. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*b**2 + 2)*(-4 + 6 - 11)*(-5 + 2 + 4)*(3 + 0 - 19*b + 2*b).\nAnswer: -306*b**3 + 54*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q - 8. Let h be j(-1). Let d(i) = 2*i**3 - 14*i**2 - 8*i + 56. Let u be d(7). Solve -h*c + s - 11 = u, -c + 0*s - 12 = -2*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 14 = -n, -10*n + 2*k - 4 = -8*n. What is the third biggest value in -2\/119, n, 0.2?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*x + 2*x. Let b be 21\/(-11)*x\/(-12). Let m = b - -24\/55. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 1108, 3\/4, 33, -5, -3.9, 4?\nAnswer: 1108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 - -60. Let x = -20 - a. Let b(y) = y**3 + 13*y**2 - 2*y - 13. Let d be b(-13). Solve d = -3*m - m + 5*o, x = -3*m + 5*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**19)\/d*d*d*((d\/(d*d*d\/(d\/(d\/(d**(-2\/7)*d)))))\/d)\/d*d)\/(d**(2\/53)\/d*(d*d**(-4))\/d))**(1\/32) assuming d is positive.\nAnswer: d**(-4943\/11872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 258 - 253. Solve -11 = n*u + 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/9*(-7)\/(4543\/(-1593))\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3752013 and 61755?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 0 + 5 + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 5*v**2 + 2*v - 3. Let n be o(-4). Suppose -18 = n*y - 6*y. Suppose -p + y = 2*p. What is the highest common factor of 42 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-24)\/2)\/(-1))\/1. Let q be (33\/j)\/(1\/4). Let d = 362 - 263. Calculate the highest common factor of d and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -23. Suppose 5 + d = 5*z. Suppose 4*u - z*u = 64. Is u a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + 10 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*b + 135, -b - 9 = -d - 5*b. Suppose 5*q - 6 = d. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(1\/6)*b)*(b*b**(-3\/5)\/b)\/b)\/((b**(-1)\/b)\/b)**(-4\/13) assuming b is positive.\nAnswer: b**(-1049\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8588467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -37*d**6\/60 - 37*d**3\/6 + 31*d**2. Differentiate a(s) wrt s.\nAnswer: -222*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446397.4 tonnes in milligrams?\nAnswer: 446397400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 13. Let h = 8 + -3. Put h, v, -3 in ascending order.\nAnswer: -3, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 - -176. What is the remainder when 19 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 8 = 2*o, 5*q = 8*o - 9*o + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 12. Let n(v) = m*v + v - 2*v. Let q(r) = -r**3 + 54*r**2 - 201*r + 53. Let t be q(50). Let h(b) = b**2 - 3*b. Give t*n(d) + 3*h(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2997.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izzx. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/8)\/z*z)\/z*z\/z**(1\/2))\/((z*z**(-2\/7)*z)\/(z**(3\/2)*z))*z**(-2\/11)*(z*(z*z*z*z**(2\/7)*z)\/z)\/z*z**(-6)\/(z\/(z*z**(-1))) assuming z is positive.\nAnswer: z**(-1685\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6861.12 - -7029. What is m rounded to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 1. Suppose 5*s = 4*l + 45 + 31, 0 = -5*l - 20. Let j = 13 - s. Let i(f) = -f. Determine j*z(c) + i(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -29, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -27279.8782 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = 4*c, 5 = 5*o + 3*c - 0*c. Let d be 2 + 0\/(o - 3). Is d\/(-7) + (-4375)\/(-49) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 10:25 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + l**2 - l)*(-2*l**2 - 4*l**2 - 4*l**2) as r*l**2 + f*l**4 + t + s*l + d*l**3 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006676 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, -4, 0.17 in ascending order.\nAnswer: -4, -0.5, 0, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*l. Suppose 1 = -2*g - 5*h, 0 = -h - 5. Suppose -6*q = -g - 0. Solve -w + q*w = l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48, 506, 1744, 4152, 8120, 14038?\n\"Answer: 65*q**3 + 3*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49016 and 99?\nAnswer: 441144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7578444 and 336?\nAnswer: 212196432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*i + 6*q + 14, 4*i + 7 = -q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 347892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/160)\/((-8)\/5)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-18 - (30 - 13))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11334 (base 10) in base 8?\nAnswer: 26106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3 = -3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*k - 14, 5*q - 159 = k - 131. Factor 0*r**3 + 2\/3*r**5 + 4\/3*r**4 + 0 - 4\/3*r**k - 2\/3*r.\nAnswer: 2*r*(r - 1)*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271445763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b + 8*b - 3*b. Let t(u) = 15*u**2 + 80*u + 24. Let f(m) = -10*m**2 - 50*m - 15. Let i(q) = -8*f(q) - 5*t(q). Give i(l(g)).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31, 53, 91, 151, 239, 361, 523, 731?\n\"Answer: b**3 + 2*b**2 + 9*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -12*v**4 - 4*v**3 - 4*v**2 - 15. Let b(f) = -48*f**4 - 15*f**3 - 15*f**2 - 60. Let m(l) = 4*b(l) - 15*i(l). Differentiate m(o) with respect to o.\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 28*s - 338. Determine t(13).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/6 + 9728*j**4\/3 + 272555*j**3\/6 + 81123*j**2 + 38940*j = 0. What is j?\nAnswer: -12, -1, 0, 19470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (8 - 11 - 6 - 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.8 in -3, 0.5, -19134, -2\/7, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 404, 5, 118 in descending order.\nAnswer: 404, 118, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l**2 - l**2 + 0*l**2)*(109*l**2 - 208*l**2 + 30 + 95*l**2) to the form j + y*l + r*l**3 + m*l**4 + q*l**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 67, 3.\nAnswer: -1, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 52*d**3 - 176*d**2 + 60*d = 0.\nAnswer: 0, 5\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 2*q**2 + 37*q - 167. Let j be d(4). Solve -j*c + 70 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = -19*n + 32. Calculate the remainder when n is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-3)*(-2424)\/7070. Is -50 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 198*d - 23. Let y(t) = -3*t**2 - 587*t + 74. Determine 13*v(m) + 4*y(m).\nAnswer: m**2 + 226*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3534 - 1110. Suppose 7*x + 394 = y. Calculate the greatest common divisor of x and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16436 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -32*d - 90. Let l(j) = 11*j + 30. Let k(o) = -4*i(o) - 11*l(o). Is k(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 249*y + 3. What is the hundreds digit of d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - 4417?\nAnswer: -4429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, d: 1, p: 1, t: 1, m: 2, l: 1}. Give prob of sequence rlmd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 712244, 712137, 711968, 711737?\nAnswer: 711444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/403, 0.001, -2\/5, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 968 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 568.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331219 divided by -156?\nAnswer: -1331219\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -29. What is the second biggest value in 2\/7, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*s + d**2 - 3031*d*s - 196*d + 279*s + 1945 wrt d.\nAnswer: 4*d*s + 2*d - 3031*s - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + -4 + 3 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -152.3\nAnswer: 152.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -5, -1, 89, -2 in descending order.\nAnswer: 89, 4, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 25*r - 36643 + 36604 = 0, -3*w + 37 = 2*r for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 3:07 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x**2 - 3*x + 2*x**2 + 4*x)*(-6 - 21 + 5)*(x + x - 3*x) + 2*x**3 - x**3 - 2*x**3 to the form h + u*x**2 + f*x + k*x**3 and give k.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l**2 + 15*l - 14. Let h(t) = t**2 + 1. Let y(f) = 4*h(f) + k(f). Let m be y(14). Solve 3*j - m = 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-42)*(-9)\/(-6). Suppose 2*u + 0*u + 9 = 3*i, 5*u - 15 = 0. Which is the closest to -2\/7? (a) i (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h = -28*h + 2*b - 9166, -2*h = -b - 6113. List the prime factors of h.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 9*r**7\/7 + r**6\/6 + 6*r**3 - 21*r - 130. What is the third derivative of w(l) wrt l?\nAnswer: 1080*l**3 + 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 15*c + 7. Let s be r(15). Let g(t) = -t - 3. Let q be g(-4). Solve -4*h + q = -s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -2 - (0 + -2). Suppose t + t = 0. Suppose 0 = 157*o - 143*o. Solve -2*x + t*x - h = o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 214523 and 50476?\nAnswer: 858092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -19. Let v(z) be the second derivative of 4*z**2 - y + 1 - 12*z + z**4 + 1. Differentiate v(c) with respect to c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 a when four letters picked without replacement from nalfqny?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 3. Suppose 5*g + 8 = -4*a, 6 - 2 = -g. Suppose -2*k = a*k - 90. Calculate the lowest common multiple of t(3) and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**5\/60 - 5*w**4\/24 - w**3\/3 - w**2. Give h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1614487*p + 1614482*p - 2 + 2 - 1424*p**2.\nAnswer: -1424*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z - 2. Let v(p) = 33*p**3 + p**2. Let o be v(z). Let l be o\/30 - (-28)\/42. What is the nearest to l in 0.08, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -2129*t**7\/210 - 265*t**4\/4 + 2479*t**2. What is the second derivative of l(y) wrt y?\nAnswer: -25548*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 5*s + 34 - 4*s - 24. Let f be 5\/2*56\/35. Suppose -n = -f*n. What is j(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2166223 and -1.69904.\nAnswer: 2166221.30096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 730639212 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + 19*x + 36 = 4*b, 5*b - 15 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*(9 + -11). Does 7 divide (12 - 5)*(v + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 12\/18 - -2. Let h = -0.9 - -0.6. Let g = 3.7 - h. Which is the nearest to q? (a) 0.5 (b) g (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 11072?\nAnswer: 55360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10082 - 5298 = -2*u. What is u rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4260 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 1a014a?\nAnswer: 1a0151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4\/9 - 10*u**3\/3 + 26*u**2\/3 - 74*u\/9 + 8\/3 = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.9 (b) -5 (c) 17 (d) 8 (e) 1\/5 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.49 + 3.49. Let t be ((-5)\/(-10))\/((-14)\/12). Sort c, 2, t, 3.\nAnswer: t, c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 11 = d, 4*t + 7 = d + 2. Let v(s) = -20*s - 226. Let q be v(-23). What is the remainder when q\/8 + 147\/84 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 541855, 1083815, 1625775?\n\"Answer: 541960*i - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 6*s**2 - 7*s + 1. Let u be o(-7). Which is bigger: u or 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + -4*(sqrt(3) - 2*sqrt(3)) + sqrt(3) + 1 + 0 + -4.\nAnswer: -9 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 4*w**2 - 5. Let y be v(-5). Let t be (-19)\/(2 + -1) - -1. Let h be t\/y + (-2)\/(-4). Which is the nearest to h? (a) 4 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.13 take away 1307935?\nAnswer: -1307905.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 29*g**2 - 10*g + 9. Let s be w(1). Suppose 23*f + 250 = s*f. What is the greatest common divisor of 25 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 16. Suppose 7*r + 0*r = -r. Solve 5*b = -r - f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3609928 rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 232217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-11)*((-88)\/20)\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*c + 2*c - 3*j, -3*j = 3*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -146403 (base 8) to base 3\nAnswer: -2122222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2735, -2797, -2763, -2585, -2215, -1605, -707?\n\"Answer: 8*l**3 - 118*l - 2625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 261662 and 19146.\nAnswer: 784986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6731*r**2 + 0*r + 2*r + 13671*r**2 - 4350*r**2.\nAnswer: 16052*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 divided by 471?\nAnswer: -284\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 150381 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 27 (c) 0 (d) -2\/5 (e) -13\/4 (f) 3\/7 (g) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 54 + 23*r - 6 + 10*r + 218*r**2.\nAnswer: 218*r**2 + 31*r - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/(-63) + (-15)\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, w: 1, a: 1, x: 1, v: 2}. Give prob of picking 1 v and 1 x.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*8\/2160*-9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (-3*sqrt(190) + sqrt(190))*-2 - (-2*sqrt(190) - sqrt(190))*3)\/((1*sqrt(640))\/(-1*sqrt(484) + sqrt(484) + sqrt(4))).\nAnswer: 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 73*x + 2*x**2 - 73*x + (-2*x**2 + x**2 + 3*x**2)*(-1 + 5 - 3) + (3 - 3 + x)*(-4*x - x + 6*x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 43, 12 in increasing order.\nAnswer: -11, 12, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 12. Suppose -3*n - 15 = -6*n. Calculate the remainder when (-100)\/(-6) - 4\/b is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -582 - -601. Suppose 26*u = w*u + 133. Solve 4*k + 17 = -5*j, j - 5*k = 5*j + u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55899821 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -796, -814, -838, -874, -928, -1006?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 269 + -241. Solve -k = 4*j - 3*b, 0 = j - 2*b - 3*b + 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-12) - 2\/3)\/((-2820)\/13160)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*2 + -5 + -4.\nAnswer: -9 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17512 and 2232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620768851?\nAnswer: 257, 2415443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 12*t + 6. Give i(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3605*t*u**3 + 2318*t*u - 3*t + 238*u**3 + 2*u**2 - 7 wrt u?\nAnswer: 21630*t + 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1601*j**2*s**3 + j*s**3 - 61*j*s + 1 wrt j?\nAnswer: -3202*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 3, 7 in descending order.\nAnswer: 7, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.2 in -3\/47, -4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -3\/2, 366780\/59 in descending order.\nAnswer: 366780\/59, 2\/21, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -180987, -2 in decreasing order.\nAnswer: 0, -2, -180987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1033 and 16122031?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(108)*1 + sqrt(108) + 2*(sqrt(108) + 1))**2 - (1 + sqrt(300) + -4 + sqrt(300) + 2).\nAnswer: 76*sqrt(3) + 1733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 15825590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k + 8. Let o be c(1). What is the fourth biggest value in o, -1\/5, -1, 5\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l - 3. Let c be b(2). Suppose c*x + 4*d + 14 = 0, 5 = -2*x - 4*d - 11. Is 2 + (24 - x) + 1 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, c: 2, y: 3}. What is prob of picking 1 y and 1 c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q - 33. Determine r(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3909033*p*w**2 + 3*p*w - 12*p + 20575*w wrt w.\nAnswer: -7818066*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 6. Which is the biggest value? (a) 2 (b) d (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 193 + -583\/3. Let x be (3\/33)\/((-2)\/(-24)). Sort i, 0.1, x in decreasing order.\nAnswer: x, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 11.146669?\nAnswer: 6.146669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, t: 6, s: 8}. What is prob of picking 3 t?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/4 + 30*i**2 + 156463*i\/4 - 3918579\/2 = 0.\nAnswer: -366, 49, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**6\/135 + k**5\/30 - 4*k**3\/27 - 6*k. Factor w(x).\nAnswer: 2*x*(x - 1)*(x + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - w + 9. Let g(q) = -q + 1. Let d(x) = -4*g(x) + i(x). Let y be ((106\/(-3))\/(-1))\/((-18)\/(-27)). Suppose 6*r = y - 23. Calculate d(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -10, -2\/7, 9.55, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/4 - 5*h**3\/3 + 9*h**2\/2 - 8*h - 7. Let v be k(4). Suppose -14*t = -v*t - 244. What are the prime factors of t?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -2.74117.\nAnswer: 1.096468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7. What is the derivative of -5*m + l + 0*m + 2*m - 3 wrt m?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -16*y + 15*y + 7, 0 = -4*x + 4*y - 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 9*u**2 + 2*u + 12. Let s be r(-9). Let t(l) = -2*l - 5. Determine t(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 2, a: 1, f: 2, t: 2, z: 1}. Give prob of picking 1 a, 1 s, and 1 z.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302639053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8545 and 17?\nAnswer: 145265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 - 7*w**2 - 7*w + 2. Let b be q(-5). Suppose f = -0*f - 2*n + 34, -b = -4*f - 2*n. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.0003887 grams?\nAnswer: 0.0000003887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -1053.49.\nAnswer: -210.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 4. Let i(a) = 416*a**2 - 1872*a + 3744. Suppose 28*n + 8*n - 72 = 0. Let o(f) = n*i(f) + 1872*t(f). Let c(s) = -s**2. Calculate c(o(j)).\nAnswer: -692224*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -469, -3268, -10761, -25294, -49213?\n\"Answer: -391*i**3 - i**2 - 59*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5 - 1 - g - 3 + 2. Suppose -q = q + 5*j - 4, -3*q + 5*j = -6. Let i(b) = 3 + 8 - 4*b + q - 3. What is -4*i(o) + 14*l(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 15 = 5*t, 5*t = 5*i - 1 + 26. Solve t = -f + 4, 3*q + 20 = 7*q + 2*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2580?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 2\/7 (c) 313 (d) 9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13618865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1495 plus -0.01768?\nAnswer: 0.13182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 552, 1114, 1672, 2226, 2776?\n\"Answer: -2*f**2 + 568*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 443*18316\nAnswer: 8113988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.262619ml in litres?\nAnswer: 0.004262619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67410 and 25830?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 198961\/22 + -9039. What is the common denominator of 1\/(-3) - 777\/72 and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24 + 0.384. What is r rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575881475.\nAnswer: 5, 13, 23, 77041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 16 - 7)*(4*n - 5*n + 0*n)*(n - n + n) to b + z*n + j*n**2 and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 249*g + 1170.\nAnswer: 3*(g + 5)*(g + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) 0.5 (c) 0.05 (d) 2\/5 (e) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**4 + j**3 - j - 1. Let z(m) = 2*m**5 - 3*m**4 - 3*m**3 + 2*m**2 + 3*m + 3. Let u(x) = 6*i(x) + 2*z(x). Find the third derivative of u(f) wrt f.\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 14 + 4 + 23 + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -730 < -729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -23*i**8\/84 - i**4\/6 + 7*i**3\/6 - 2*i**2 - 8. What is the second derivative of w(o) wrt o?\nAnswer: -1840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/52 + (3\/(-4) - -1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/12)\/((-1)\/((-33)\/(-88)*-4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5537 divided by 370\nAnswer: 5537\/370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*n + 85*n + 77*n = -8 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-1)\/j*j))**40\/(((j\/(j\/(j**(-2\/3)*j))*j)\/j)\/j*j)**(28\/9))\/(j\/(j**(-5)*j)*j*j**5*(j**(2\/3)*j*j)**(-30)) assuming j is positive.\nAnswer: j**(3995\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 r, and 1 g when three letters picked without replacement from {g: 8, a: 1, r: 2, c: 2, p: 1}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*t = -10*t + 18*t + 82754. What is the greatest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35543.5 - -35543. Let v(b) = -5*b + 1. Let a(c) = -6*c + 1. Let z(r) = 4*a(r) - 5*v(r). Let w be z(-2). What is the nearest to w in l, 5, -1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -222, -0.26, 1\/2, -0.2 in descending order.\nAnswer: 1\/2, 1\/7, -0.2, -0.26, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 - 2*b + 2. Let n(c) = 48*c**2 + 33*c - 33. Suppose -r = 5*w - 58, -2*r = -0*w + 3*w - 81. Suppose -2 + 3 - 7 = -3*f. Give f*n(m) + r*g(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8306401 divided by 1\nAnswer: -8306401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -567483 by -81069.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -532\/4097 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1127, -1125, -1121, -1115, -1107, -1097?\nAnswer: -1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k - 6. Let c(x) = -2*x - 3. Let r(t) = 26*t + 109. Let w be r(-4). What is w*c(i) - 3*j(i)?\nAnswer: 5*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7942 + -12552. What are the prime factors of -3*6\/54 + u\/(-15)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.073736*-5.\nAnswer: 90.36868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -2 + 18. Let r be 3\/(n - 875\/(-430)). Suppose -21 + r = b. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 22 - 2. Let z(s) = 4 - 3*s - 4. Is z(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 71 - -11?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -472 - 117133?\nAnswer: -117615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7860283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 8:35 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*a = -484 - 253 - 439 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212666925 and 1718.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 12. Let n be h(5). Suppose -n*r + 3 = -3. Solve -3*k - r = 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 146 - 89. Let w = f - 56.9999826. What is w rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 + 0.1. Let b = -0.27 - 0.73. Is f bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z. Let r(i) = 223*i. What is x(r(g))?\nAnswer: -892*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4)\/k**(-7) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 2 + -3 + -6. Let s(v) = v**2 + 3*v - 1. Let k be s(g). Suppose 89 = k*z - 4*f, z - 5*z = -3*f - 128. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 5:23 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 9) to base 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5053 divided by -163?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 72945*i**3 + 0.\nAnswer: -72945*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 409*y + 4607. What is h(-420)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7 + -0.3. Let o = 0.0075 + 5.7525. Let l = o - -1.24. Which is the nearest to 0.2? (a) l (b) i (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 + 1 + 109*b + 65*b - 77*b - 94*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 80140748 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 1\/2, 0.2 in increasing order.\nAnswer: 0.2, 1\/2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 25. Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6091 or -6088?\nAnswer: -6088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460*p = 274*p. Which is bigger: p or -1\/1417?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 8820*i - 26478.\nAnswer: 2*(i - 3)*(i + 4413)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 + 85*s**2\/2 - 993*s\/4 + 369.\nAnswer: -(s - 164)*(s - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {s: 10, q: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0 + 0)*(-2*q - 4 + 4) + 4*q**2 + 0*q**2 - 2*q**2 - 2 + 2 - q**2 + (-5 + 56 + 3)*(-2 + 2 - 6*q**2).\nAnswer: -319*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(19 + 4*g - 764 + 247 - 2) as y + c*g and give y.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 7 = -13, 0 = 3*l + 2*r + 23. Let t(m) = -3*m - 1 + 4 - 4*m + 4*m. Does 6 divide t(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/45*45\/18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -43 - 2. Let g = l - -11. Let p be -1*(-10 + -3 + g). What is the greatest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88 - (-31 + -58) - (-23 + 0)) + 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = s - 5. What is the first derivative of 28 + 0 + 4*z - s + 15*z wrt z?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 23 (b) -2\/11 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + 11. What is the remainder when a is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y. Suppose -9 = 3*u, -5*u = -3*t - 7*u - 12. Let b(a) = -2*a + 1. Let k(m) = -20*m + 9. Let o(c) = t*k(c) + 18*b(c). Calculate o(n(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j = -9. Let a = j - 4. Solve v = -4*v - a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*g - 11. Let y be g*(-2)\/12*3. What is the units digit of y\/3*(-6)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10852.87 - 58.13. Let p = 10922.033 + a. Let s = p - 0.033. What is the nearest to s in -0.2, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(17) - sqrt(68)\/sqrt(4)) + (sqrt(17)*2)**2*-5.\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -34. Suppose -33 = -m*t - 13. Suppose 0*j + 2*l = j + 8, -t*l + 16 = -5*j. Solve j = 8*z - 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (751 + 751 - 516)*(0 - 7 + 6)*(-2*g + g + 0*g).\nAnswer: 986*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -3) + 13 - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 27*w**2 + 4*w - 108. Give k(27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -11798 less than or equal to -11827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142*r**3 + 39675*r - 39675*r)*(-55*r + 349 - 349)*(-r - r + 0*r).\nAnswer: 15620*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-6)*(-2)\/(-4). Let g = -1845 - -1844.7. Which is the closest to 0? (a) k (b) g (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -23. Suppose -5*l = 3*f + 8 - 3, j = -5*f. Let r be 5*1 + (-3 - -1). Sort -2, l, r.\nAnswer: -2, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 3. Let g(t) = -2 + 4 - 3. Suppose c = 2 - 0. Give c*a(w) - 6*g(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**2\/2 + 2. Let o(r) = 2*r**2. Give j(o(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5)\/u**(2\/7))\/(u\/u**(-3)*u**1))**(-5\/12) assuming u is positive.\nAnswer: u**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*f + 270 + 3907, -3*p - 1385 = -f. Let k = f - 1263. Let g = 8 - -19. What is the remainder when k is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/14 + 122\/14. Suppose 2*v + v - b = 0. Let z = v - -1. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 - -118. Calculate the greatest common factor of 48 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 + 4 - (-942 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538*n + 542*n + 5*v = 67, 0 = 3*n + 2*v - 45. Solve 5*i + 3 = n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 16\/53, 3 in descending order.\nAnswer: 3, 1, 16\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 0, 5*l = -4*v - v + 10. What is the third smallest value in 0.07, -0.1, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 - 51*s + 28*s + 17*s + 5*s + 57*s**2.\nAnswer: 44*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 1042995?\nAnswer: -3\/69533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, 26, 67?\n\"Answer: 41*b - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/5 - 1792528*n**3\/5 + 150562944*n**2\/5 - 4215674624*n\/5 + 7869177344.\nAnswer: 2*(n - 896180)*(n - 28)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20033 divided by -4509?\nAnswer: 20033\/4509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 b, 1 e, and 1 y when four letters picked without replacement from {l: 6, e: 4, h: 5, y: 1, b: 3, j: 1}.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28*1237.906\nAnswer: -34661.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555401.\nAnswer: 7, 11, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 - -2.93. Let z = -2.8 + q. Which is the nearest to 0? (a) 4 (b) z (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -1144 - 1408. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 3:00 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -26.25. Let d = -2.84 + y. Let p = 7.7 - d. Round p to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -491 - -496. Solve 2*f = 4*l + 2, 5*f = 4*l - j*l + 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2963 - -2973. Let r(z) be the third derivative of 1\/30*z**5 - d*z**2 + 0*z**3 - 3\/8*z**4 + 0 + 0*z. Find the second derivative of r(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 190, 290, 394, 502, 614?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 517\/(-99) + (1 - (-21)\/(-27)). Let o be ((-2)\/g)\/(46\/(-115)) + 3. Factor 1\/4*c**o + 3 + 2*c.\nAnswer: (c + 2)*(c + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**4\/6 - 5*y**3\/6 - 41*y**2 + 4*y + 16. What is the tens digit of d(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-56)\/(-84) + 2\/(-3). Sort n, 25, 0.3 in increasing order.\nAnswer: n, 0.3, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25234, 25228, 25220, 25210, 25198, 25184, 25168?\nAnswer: 25150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n + 2*n)*(-n**2 + 0*n**2 + 6*n**2)*(-3 + 4 - 3)*(-488*n + 178*n + 225*n).\nAnswer: 3400*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 572, 570, 568?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 0*a - 8 - a - a**2 + 9. Let i be u(2). Suppose -f + i*f = 12. What is the remainder when 17 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -17*v**2 + 2*v - 2. Let o(x) = -25*x**2 + 10*x - 15. Let s(m) = -33*m**2 + 15*m - 23. Let y(t) = 8*o(t) - 5*s(t). Determine 5*b(f) - 2*y(f).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 262052 (base 7) to base 2\nAnswer: 1011111001100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -42574*x. Let w(p) = 33*p. Give k(w(v)).\nAnswer: -1404942*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 47 - 83 = 0. Let c be (-23)\/((d\/(-12))\/(41\/2)). Calculate the greatest common divisor of c and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 - (-160 - -166).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - l - 3 = 0, -l + 17 = a + 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v - v)*(2024 - 84*v - 2024).\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -3. Let o(l) = 4 + 2*l - 5 + 5. Let t be o(-3). Sort -4, t, b.\nAnswer: -4, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y + 102 = 32 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let x be 1 + 1 - 1 - -2. Let y(g) = g + x*g**3 + 0*g + 4 - 5. Calculate y(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 82*w**2 - 264*w - 1047. Calculate p(-85).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 5. Let l(h) be the first derivative of -h**2\/2 + 7*h - 31. Calculate -5*l(s) - 7*p(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -792*j**2 + 222*j**2 - 179*j**2 + (4 - 2*j - 4)*(-2*j + j - j) - j**2 - 2*j**2 + 2*j**2 - j**2 + 5*j**2 - 2*j**2 to o*j + s*j**2 + g and give s.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0*w**3 + 1\/98*w**7 - 1\/28*w**4 - w + 0*w**2 + 1\/70*w**6 + 0 - 3\/140*w**5. Factor c(x).\nAnswer: 3*x**2*(x - 1)*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 508*g**3 + 5*g**2 - 388*g + 8?\nAnswer: 3048*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-4)\/48*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 153. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o = 3*w - 21, 3*w - 9 = o. Let p be w\/6 - (-8)\/(-42). Suppose -12 + 9 = 3*s. Which is the second smallest value? (a) 1\/3 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -1, 0, -16, -1420, 5 in decreasing order.\nAnswer: 5, 4, 2, 0, -1, -16, -1420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2610 and 6707055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**4 + 543*s**3 - 3177*s**2 + 4737*s - 2100 = 0.\nAnswer: 1, 4, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w - 1. Suppose -3*a = -2*o - 13, 3*a - 14 = 4*o + 3. Let p be (1 - 3)\/(a - 1). Let l(j) = -j. Determine p*u(g) + 3*l(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -2. Let m = v - -22.00001. What is m rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) 1\/3 (c) -1\/1271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 280124 (base 12) in base 2?\nAnswer: 10100010000010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 13. Suppose 4*p - 5 = -a*m, -m + 4*p = 4*m - 5. Suppose 2*k - 3*u - 1 = 8, 2*u - m = -k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337978121 a multiple of 2199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -300 - -371. Suppose -13*g + t - 19 = 0. Calculate the greatest common divisor of g and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)*m*m)**(1\/6)\/(m**0)**6)**(4\/13) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 5*i - 140, -4148*i - z - 44 = -4153*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35772.\nAnswer: 2, 3, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22395392 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 0.2, -2\/5, -2\/887?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10152595*x**5 - 2*x**3 + 3470959*x**2?\nAnswer: -609155700*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719585917?\nAnswer: 19, 37872943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.2, 561822, 2?\nAnswer: 561822","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**3\/6 + 5*c**2 - 6*c. Let s be v(6). Solve -s = -m - 4*x - x, -m - 2*x + 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257131 - 0.4?\nAnswer: 257130.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*q - 640, -5*d + 1600 = 5*q - 3*d. Round q to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 at least 169857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/15 (b) -0.7 (c) -6 (d) -0.5 (e) 0.7 (f) 18 (g) 60\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*3\/30*5*10\/(15\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*k\/(k**(2\/13)*k)))\/k)\/k**(-2\/7)*k**(-3)\/(k*k\/(k\/(k**6*k))))**(13\/4) assuming k is positive.\nAnswer: k**(-1143\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2029, 4, 147\/2 in descending order.\nAnswer: 147\/2, 4, -2029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 234236 divided by 1\nAnswer: 234236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2) + 9 + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -565 - -883. List the prime factors of d.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -43 - 2. Let t(n) = 3*n**2 - 5*n - 7. Let s be t(o). Put -3, 3, -8, s in descending order.\nAnswer: s, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3798, 4 in ascending order.\nAnswer: -3, 4, 3798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**2 - 4*f + 4*f)*(-f**2 + 9391*f - 9383*f - f**2) in the form x*f + v*f**2 + h + y*f**3 + t*f**4 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120021 (base 3) in base 9?\nAnswer: -1507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3542 - -15720.212319.\nAnswer: 19262.212319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - x**2 - x - 5. Let y be v(3). Suppose -y*g - 22 = -12*g. Solve -3*z + 4*f + g = -4, 2*f = z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 1. Let k(h) be the second derivative of 4\/3*h**3 + 3*h**2 + 54*h + 0. Suppose -5*f + 20 = 0, 4*t - f + 12 = 3*f. Determine t*k(j) + 5*y(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 273682 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 56, 80, 104, 128?\n\"Answer: 24*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/16 + (-12)\/(-16). Suppose -3*j = 3*v + 3, 2*j + 0*v + v = i. Suppose 6*o - 12 = 3*o. Solve -j = -o*k + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2576 and 4600.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 8, 12, -0.1, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8439 and 76734?\nAnswer: 7443198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose 3*m - 8 = j, 2*m - 4*j - 24 = -2*m. Let w be m + 1 + (3 - 3). Is w less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38a6 (base 12) to base 2\nAnswer: 1100100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 597, 590, 583?\n\"Answer: -7*h + 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*n - f, -n - 18 = -3*n - 4*f. Suppose 3*j = -n*u + 26, -u = -4*j + 3*u - 8. Let h = -1 - -4. Solve 2 = h*r - j*s - 3, -r - 10 = -3*s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 0*v = 41787. Let s = -1858 - v. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54348 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: What comes next: -166047, -166049, -166053, -166059?\nAnswer: -166067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000128368 rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -13*r - 41. Does 4 divide x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 385\/(-220)*(-4)\/14.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/3*(-1 - -3). Let p(o) = -5*o**2 - 10*o + 9. Let s(q) = q**2 + q - 2. Let t(k) = -p(k) - 6*s(k). What is t(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1032, 2159, 3382, 4701, 6116, 7627?\nAnswer: 9234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 5:18 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 5*q**2 + 3*q + 4. What is v(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.7 - 0.3. Let o = h + 19.09. Round o to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121200911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 3*q - 3. Let w be o(5). Let b be ((-2375)\/950)\/(-1*10\/2). Suppose -2 + 1 = -l. What is the second biggest value in w, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + h + 8. Let s be (-3)\/(4 - 22\/6). Is 16 a factor of g(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/22 - 42\/132. What is the nearest to -0.2 in f, 0.2, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 837711*m + 466. Is w(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -97 (b) 3 (c) -27093 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - 1) + -29 + 33.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-1)\/((-40)\/(-110)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 179, 251, 311, 359, 395, 419?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -73489 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -3*g + 9*g. What is the greatest common factor of g and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 4\/3*p**3 + 0 + 1\/20*p**5 - 2*p + 7\/12*p**4 + 7\/2*p**2. Calculate n(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -135?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/98*4)\/(7\/49). Which is the closest to f? (a) 0.06 (b) 3\/5 (c) -8 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 6*l**2 - 2*l - 9. Let t be s(-6). Let f(y) = -3*y**2 - 9*y + 5. Let r(x) = -x**2 - 4*x + 2. Let h(n) = 2*f(n) - 5*r(n). Calculate h(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28678448*q**4 + 507*q**2 + 42862 wrt q.\nAnswer: 688282752*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -175*j**4*y + 4247*j**2*k*y - 4*k*y - 60*k + 1029*y - 2 wrt j.\nAnswer: -700*j**3*y + 8494*j*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -3*q - 24, 884*c - 888*c = -3*q + 5*q + 2 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2028708 and 2028707 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-1))\/((-20)\/50). Suppose -j*g = -7 + 32. Let n = 2 - g. What is the remainder when 20 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3742144 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + 46 + -50 + -22?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by (18\/(-21))\/((-15)\/455)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -170\/14547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4977*o - 3*x = 4981*o + 10, -x = 6*o + 22 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 66\/7 of a week?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 7:31 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -29*o**5\/20 + 31*o**4\/12 - 11*o. What is the third derivative of j(w) wrt w?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45330071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 410.7118mg?\nAnswer: 0.0000004107118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5200 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 182*g**2 + 24*g - 124. What is the units digit of n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12091.662 rounded to the nearest one hundred?\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3250189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4740406.7 times 2?\nAnswer: -9480813.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 < 906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 3*x**2 + 10*x. Let j be f(2). Suppose 0 = -3*r, -k - r - 2 + 4 = j. Let v = -2 - -8. What is the greatest common factor of v and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 26. Let l be p(26). Let m be (0 - 3)\/(-9)*(5 + -20). Sort m, l, 3.\nAnswer: m, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -59, -5, -1\/3, -2\/11, 87, -246?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 267764 + -6?\nAnswer: 267758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37195564 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 56981?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 10. Suppose -u + a = -0*u. Let l(f) = f + 8. Let o be l(-8). Solve -u*t + 6 - 4 = o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**3\/2 + 5*y**2 + 2*y + 26. Let z be h(0). Solve -11*w = -z*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67699, -135498, -203295, -271090, -338883?\nAnswer: -406674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - x + 13 + 2 = 0, 4*x = s + 18. Suppose 2*a + g - 15 = 0, 7*g = -2*a + s*g + 19. Solve 0 = -a*p + 6*p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, z: 1, f: 1, g: 1}. Give prob of picking 1 g and 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a week in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/(y**8\/y))\/(y**22*y\/(y*y*(y\/(y\/(y\/(y*y**(-15)\/y*y))*y))\/y)) assuming y is positive.\nAnswer: y**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4, -5*w + w + 4*l + 36 = 0. Let m(p) = -p + 9. Let a be m(w). Suppose -2*s - 15 = -7*s. Which is bigger: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111157, 444594, 1000323, 1778344?\nAnswer: 2778657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 827 - 392. What are the prime factors of a?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1308 + 14*b + 517 - 5*b - b - 5*b as v*b + d and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**3 + 2*h**2 - 5*h + 1. Let w(v) = v**3 + v**2 - 1. Suppose 7*a = 26 - 54. Let j(u) = a*w(u) - k(u). Calculate j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 33 + 554 = 9*o, -227472*l + 227468*l = -0*o + o - 79 for o.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(-2 + 1*((sqrt(8)\/sqrt(4) - sqrt(2)) + 4 + sqrt(504)\/sqrt(7)) + 4))**2.\nAnswer: 1104*sqrt(2) + 1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -f, -4*r - 178277*f + 178274*f = -23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/35)\/(-63 - (-279893)\/4452) + 8\/2?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*o - 323165 = 585004, -o - 1210892 = -4*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21, 3\/2, -1.29526, 4, -1, -2\/13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 71320*t + t**2 + 142726*t - 71406*t.\nAnswer: t**2 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from {t: 1, b: 1, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - o + 65, 2*u - 6*o + o - 47 = 0. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 11*g = 8. Let c(s) = s**3 + 12*s**2 + 7*s - 6. What are the prime factors of c(g)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8712 and 103455.\nAnswer: 827640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96620 and 70?\nAnswer: 676340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -830 - -1.\nAnswer: -829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n + 2. Let a(h) = 8 + 3*h - 6*h + 12*h - 9 - 2. What is -2*a(y) - 3*w(y)?\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - 19. Let g = h - -96. Let o = -23.34 + g. Round o to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4845, 11902, 18959, 26016, 33073, 40130?\n\"Answer: 7057*k - 2212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -8.416?\nAnswer: -8.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 2)*1\/2. Is 1 + q*32 - 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b - 2 + 32 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*j - 9 + 0 + 9 - 2*j**2.\nAnswer: -2*j**2 + 229*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 7. Let t = 3 + -10. Let k be a(t). Suppose k*g + 254 = 2*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 5*n**2 + n**2)*(-2 + 2 - 2*n) + n**3 + 0*n + 0*n.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -58*s**3 + 76*s**2. Let r(b) = 27*b**3 - 38*b**2. Determine 7*r(k) + 3*v(k).\nAnswer: 15*k**3 - 38*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.763754 kilograms?\nAnswer: 0.008763754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*3\/18*3. Let n = 486\/5 - 98. Let z(k) = -k. Let w be z(1). Sort n, b, w in decreasing order.\nAnswer: n, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*f - 4*f - 24 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 4*k - 20. Let n(u) = -3*u**2 + u**3 + k*u**2 + u + 4 + 0*u**3. Let y = 6030 - 6037. Determine n(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3547141*f + 7094285. Determine z(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 166*1\/(-924) + (-18)\/(-108). Is u less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x + 4*w + 7 = 0, -4*w = x - 11. Solve -4*s + x*n = 4*n + 1, -3*n = -s - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3*m - 8)*((0 + 0 - 1)*(0 - 1 + 2) - 62 - 42 + 122).\nAnswer: -51*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -30, -15, 0, -2 in increasing order.\nAnswer: -30, -15, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + 4*f - 8*f + (7 - 1 + 2)*(-4*f - f + 4*f) + (-3*f + f + f)*(-2 - 2 + 2) - 6*f + 4*f + f to r*f + o and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i - 1. Let d(v) = -37*v + 121. What is d(x) + 4*s(x)?\nAnswer: -5*x + 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170225 and 43330?\nAnswer: 2383150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*u + 798*u = -1328*u + 178414 - 11566 for u.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 138 - (6\/3)\/1. Suppose -3*s = 3*f - 2*s + u, 3*f + 140 = -2*s. What are the prime factors of (f\/(-4))\/(2\/2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 2, -3, 5, 63, 0.\nAnswer: -3, 0, 2, 5, 21, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2594426*x**6 + 475*x**2 - 1756 wrt x?\nAnswer: 311331120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(252)\/sqrt(4) - 6*(3 + 1 + sqrt(7)))**2.\nAnswer: 1440*sqrt(7) + 4302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -0.02\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 1\/(-11))\/1. Let m = -17 + 17.07. Let i = -0.37 + m. Sort i, b, 0.4 in ascending order.\nAnswer: i, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l**2 + l - 2. Let w be i(0). Let x be 16\/(-6) + (-2)\/6. Let b be x - (w + 5)*-4. Solve 3*f + 2*s - 13 = -2*s, -5*f = -s + b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15568 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**24*p)\/p)**(4\/3)\/(p*(p*p**(-2))\/p)**(-14) assuming p is positive.\nAnswer: p**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 45*v - 46. Let n be a(9). Let l(g) = -50*g - 3. Let o be l(3). Let t = n + o. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -44\/9095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (7 - (-3 + 5 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 151088007 divided by 1\nAnswer: 151088007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2965\/4744*(-4)\/5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*y - 6*y**3 - 46*y + 19*y + 5*y**3 as g*y + t*y**3 + o*y**2 + w and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5038 - 5022. Solve 3*p + 15*u = 20*u - 4, 5*p + c = -u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598.1 plus 4634.14?\nAnswer: 6232.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20092321 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w**2 - 8. Let y be t(4). Let b = 13 + y. Suppose 5*s = 4*u + 55 + 10, -2*s = -3*u - 19. What is the remainder when s is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -992c (base 13) to base 8\nAnswer: -51524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 705760*a**3*f**3 - 3*a**2*f**3 + 5833*a**2*f**2 - 10*f**3 wrt a?\nAnswer: 4234560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(7 - 45\/12) + -8. Solve -r - v*c = 3, 6 = -2*r + 4*c + c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587\/529*(-16)\/9*(-351)\/(-572)?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -29, 0, 2 in descending order.\nAnswer: 3, 2, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u + 2. Suppose 0 = s + s - 36. Let n be -3 + 7\/(14\/s). Let h(z) = -z. Determine n*h(x) + o(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c**4 + 37*c + 10*c**4 + 4 - 27*c**4 + 157*c**2 + 13*c**4 - 96*c wrt c.\nAnswer: 12*c**2 + 314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/((-25)\/(-5)) + 142. Let d = 0 - -10. Suppose 4*x = -5*a + f, -2*x + 4*a + 36 = -d. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3775*l - 1438*l + 5912*l)*(-2 - 2 - l + 6) in the form y*l + s*l**2 + c and give y.\nAnswer: 16498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-33)*z*(z\/(z**(-2\/15)\/z))\/z)**36)**(3\/20) assuming z is positive.\nAnswer: z**(-4167\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Suppose g + 3*g = -3*t + 11, 2*t + 2*g - 10 = 0. Suppose -t - 3 = -4*d. Let k(z) = 2*z + d*z - z. Calculate a(k(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1796, -3561, -5326, -7091, -8856, -10621?\n\"Answer: -1765*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1226 * -0.5\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5961 > -5965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 4. Suppose 0 = 1617*m - 1610*m. Suppose -18*a + 32 + 4 = m. Solve a = 5*l - s*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.3 + -4.67. Let y = 0.6 - s. Let o = y - 0.97. What is the nearest to -0.1 in -0.4, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 14*j - 4*j = 0. Suppose 0 = 10*h - 6*h - 2*r - 8, 5*h - 4*r - 16 = j. Determine z so that -2\/11 + 2\/11*z**2 + h*z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 (base 12) in base 6?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwawaawwaaaw. What is prob of sequence aw?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -861 - -894. What is the remainder when 64 is divided by j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624107 to the power of 1\/2, to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-324)\/48)\/(18\/(-4)). Which is the third smallest value? (a) x (b) -226 (c) -3 (d) 4\/7 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-1 - 1 + 1)*((0 - 1 + 3)*(2 + 4 - 7) + 0 + 0 - 1)*(0*f - f**4 + 0*f + (-2*f**2 - f**2 + 0*f**2)*(-3*f**2 - 2*f**2 - 22*f**2)).\nAnswer: 480*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(600))\/((sqrt(96)*2)\/sqrt(8)))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p - 1. Let c(f) = 3*f + 1 - 1 + 0*f - 1. Let n be 9\/(54\/(-8))*6\/(-4). Give n*i(t) - 3*c(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1713088)\/(-192) + 4\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -502800 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/659 or -1?\nAnswer: 5\/659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*w + 151*w + 284 - 1825 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -11*f + 156. Let i be q(16). Let w(z) = -2*z - 41. Let m be w(i). Let n(l) = -11*l**2 - 3*l - 2. Determine n(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z - 108. Let h be (z\/6)\/(1 + -2). Let u be 15\/(-2)*4\/h. Solve -u*l + 25 = -0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/10)*o**(-2\/5))**(-4\/11))**(5\/8) assuming o is positive.\nAnswer: o**(1\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2323, 8432, 18317, 31978, 49415, 70628?\n\"Answer: 1888*v**2 + 445*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -15, -0.5, 0.5, -144, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 4*v**2 - 5*v - 5. Let k be s(-5). Let j = 34.46 - 0.26. Let y = -34 + j. What is the nearest to y in -2\/7, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -45, -31, 3, 63?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: fb27c (base 16) to base 9\nAnswer: 1837135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 657 + -378. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*q - 80*q - 39121 + 18997 = 122*q for q.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.333 - 120002?\nAnswer: -120001.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -22. Let i = 22 - o. Do 4\/9 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.37 + -0.08. Let t = d + 0. Round t to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*40\/(-1056))\/((-21)\/1260*-100).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960 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: Round 0.00777334809 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2068, -2067, -2066, -2065, -2064, -2063?\n\"Answer: j - 2069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11350cc (base 13) to base 7\nAnswer: -63002065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h - 1. Suppose 2 + 0 = n. Suppose -4*j + 5*y = -18, 2*j = 3*j - 5*y - 12. Suppose 4*x + 3*i = 4 + j, -5*x - n = -i. Determine l(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1. Let l(w) = w. Suppose -27*z + 873 = -18. Suppose -z - 21 = 9*s. Calculate s*c(m) + 2*l(m).\nAnswer: 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/12)\/((-8)\/(-6) - 1). Let b(j) = j. Let q(x) = -x**2 + 16*x - 31. Let h(g) = m*b(g) + q(g). Let u be h(16). Solve -4*l = 11 + u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 14*h**2 - 12*h + 29. Let q be u(-12). Let w = q + 150. Calculate the lowest common multiple of 5 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*y - 11, 3*y + 0*y + 3*m - 21 = 0. Let c be -5 + y - 18\/(-14). Which is smaller: c or 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12249821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 4, c: 7, i: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(-3\/16)\/p)\/p*p))\/p)**(-1\/28)*(p*p*p\/(p*p*p**17*p))\/(p\/(p\/(p*p**(-3\/8)))) assuming p is positive.\nAnswer: p**(-7915\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1798\/3, 2, 0.245?\nAnswer: 0.245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112055*m**2 + 115961*m.\nAnswer: -224110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 5*s**2 + 7. Let i be u(-5). Let v be i - (2 - (3 + -3)). Find the first derivative of -7*j + 7*j - j**3 - 2 + v wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 697 divided by 88725.\nAnswer: 697\/88725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6)*(-2)\/1. Let n be ((-14)\/(-10))\/(1 - (-8)\/(-10)). Let d be n + 2352\/(-1170) + -5. Is w at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 - -79. Suppose 3*x - 1439 = -q - 0*q, 2*q - 2399 = -g*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2 + 15767398*y + 31534792 = 0.\nAnswer: -15767396, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 20519?\nAnswer: 20519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 109 = 4*p + 91, -4*v + 241 = -5*p. Suppose 798 = 549*f - 563*f. Let s = p - f. Solve -5*b = 2*x + s, -4 + 0 = x + 3*b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -131\/4. Let k = 22655\/28 - 5284\/7. Let o = k - 54. Which is the third smallest value? (a) 0 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*1.8.\nAnswer: -77.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 293 - 299.3. Let y = -30347823.7000057 - -30347830. Let f = y + b. What is f rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 302 = -2*a - 2*n, -5*n - 453 = -3*a. Suppose -5*z - 46 + a = 0. Is z\/2*(-28)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + 66*h**2 + 8*h.\nAnswer: 66*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 66936.79 litres?\nAnswer: 66936790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**4 - 939*n**3 - 104454*n**2 - 2352984*n - 2249472 = 0.\nAnswer: -58, -32, -1, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-103)\/(1236\/(-8))*12\/(-10).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015600838 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**5\/10 - 3*u**3 + 5*u**2\/2 - 1749*u. Let b(w) = -w**3 + 9*w - 3. Calculate 5*b(g) + 3*z(g).\nAnswer: g**3 - 9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (228 - 814 - 493 - 344)*(-3*n**5 + 4 - 4).\nAnswer: 4269*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84225 by 37.\nAnswer: -84225\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110497581.\nAnswer: 71, 157, 99623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, p: 1, j: 4, x: 3}. What is prob of picking 1 p and 2 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - (sqrt(190) - (sqrt(190) + sqrt(190)*-1) - sqrt(190)))*1)\/sqrt(10) - -6*1*sqrt(684)) + 1.\nAnswer: 1 + 37*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (16 - 20) + 1 + -8 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19623 + 363.19623. Which is the nearest to -3? (a) 0.1 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1. Let b(n) = -8*n + 20. What is -b(o) + 24*j(o)?\nAnswer: 8*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-46))\/(362\/8326). Put 27, -3, v, 1 in descending order.\nAnswer: 27, v, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z + 2*z)*(z + z**2 - 2*z + 0*z**2).\nAnswer: 4*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 1\/9, 5, -1\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 12:41 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) + (-47)\/(-329) + 88\/(-273). Let v = -29 + 29.1. What is the smallest value in v, 1\/4, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26179 is divided by 238.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19428544, 19428545, 19428546, 19428547, 19428548?\n\"Answer: r + 19428543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - z - z)*(-25*z + 1587 - 1122 + 1767 + 442) as s + x*z + w*z**2 and give x.\nAnswer: 5348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - f**2 - 2*f. Determine o(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -3\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (509 - 503)\/(144\/(-312))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s + 35. Suppose 5*z = -24 - 21. Let w be l(z). Let v = -77 + w. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 19. Let k(s) = s - 6 - 6*s**2 + m. Determine k(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/6)\/((-345)\/414). Sort g, -2\/19, -2 in descending order.\nAnswer: g, -2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2016 and 12.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.012 - -12.012. What is the second biggest value in -5, -2, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3453 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*s + 7*s - 4*s)*(-2*s + 2*s + 0*s**2 - s**2) to b + a*s + q*s**3 + t*s**2 and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(832) + -1 + sqrt(832) - sqrt(832)) + sqrt(832) - sqrt(832)))**2*-3 - -6*(3 + sqrt(832)*1))*-6.\nAnswer: -10656*sqrt(13) + 539676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.616 - 14.416. Is -336 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/4)\/(15\/60))\/(17\/(-323))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1263 and 37\/11.\nAnswer: 13893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 3, b: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*m**3 - 75519*m**2 + 75519*m**2 - 262*m**3.\nAnswer: -439*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19228 + 43413. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 9:19 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 8*k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtq when three letters picked without replacement from {w: 1, u: 3, q: 5, t: 1, p: 4}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 a factor of 2144856406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545.5321 hours to milliseconds.\nAnswer: 1963915560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iid.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - -1) - -3 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 16461, 251, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12175 - -12264. Calculate the remainder when 609 is divided by t.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/24711?\nAnswer: 2\/24711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 11*y**2 + 13*y + 22. Let f(o) = -o**2 - 5*o + 2. Let w be f(-7). Let x be q(w). Solve -4*i + 6*i = -x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13801527.6 - -13801469.6000068. Let n = -58 - r. Round n to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -7*k + 3*k - a, 1858*k - 1866*k - 164 = -4*a for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 3:30 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 - 1)*18\/27. Let p(o) = 7*o + 4. Let t(f) = -10*f + 11*f + 5 - 4. Calculate v*t(j) - p(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2533201901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/(-29))\/(1\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14970, -60869, -137698, -245457, -384146, -553765, -754314?\n\"Answer: -15465*f**2 + 496*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8 - -0.8. Let h = -0.6 - b. What is the second smallest value in -1, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*w**6 + 17*w**5 - 22*w**2 - 12.\nAnswer: -600*w**3 + 1020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54824938?\nAnswer: 2, 7, 3916067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 6*f**2 - f - 3. Let o be w(6). Let y be 4*o\/14*14\/(-2). What is the second derivative of -4*g - 2 - 9*g + 2 + y*g**2 wrt g?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4198 + 4223 = 0. Which is the smallest value? (a) -128 (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/4 in 15, -0.3, -17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**2*h**2*o - 2*d**2*o - 83*d*h*o + h**2*o - 54*h**2 + 2 wrt d?\nAnswer: -2*d*h**2*o - 4*d*o - 83*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by 5.\nAnswer: 73\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {i: 7, b: 2, g: 1, s: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-4*60\/48). Solve -5 = r + 4*r - g*s, -2*s - 22 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j - 5 + 12. Let u be (3 - (-12)\/4 - -1) + j. Is (u + -3 - 4)*115 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10*c**2. Let d(s) = -2*s - 18. Let h(o) = -2. Let r(t) = -2*d(t) + 18*h(t). Let z(n) = -17*n + 136 - 136. Let b(a) = 9*r(a) + 2*z(a). Give i(b(x)).\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o = 37*o + 3012. Let z = -252 - o. Which is bigger: z or 1\/155?\nAnswer: 1\/155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2750 is divided by 131.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + (-4 - -2 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3900607079 to 3 dps.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 162985735285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-13) - (-38359)\/(-1157)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63535*i**4 - 1372*i**3 + 289301675*i**2?\nAnswer: 1524840*i - 8232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*f + 5*f + 12*f - 28 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let t = 23 - 25. Let w(b) = -12*b - 7. Let k(h) = t*w(h) - 22*a(h). Let u be k(0). Calculate the highest common divisor of u and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71 + 275172*z + 68 - 275175*z - 115 + 13*z**2 as y*z**2 + n + f*z and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1431)\/(-795)*(-5)\/12)\/((-6)\/584)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8229 = -155*y + 20911. Solve -23*r - 24*r = -y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/(c**(-8)\/c))\/c*c)\/c)\/c**(-2)*(c\/((c*c**(-2\/7)\/c)\/c))**(6\/19))**(-2\/3))**(-2\/47) assuming c is positive.\nAnswer: c**(6236\/18753)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5596 take away -7389?\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, u: 3, t: 9}. Give prob of sequence usts.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 87140 in increasing order.\nAnswer: -2, 2, 87140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -10, -30, 0.04, 0.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*d - 280570 = 28*d + 154445. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12169459.\nAnswer: 12169459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**5 - 4*a**5 + 2*a**5 + (-a**3 + 3*a**3 - a**3)*(a**2 + 2*a - 2*a) + a**5 - a**2 + a**2 + 2*a**5 - 5*a**5 + 2*a**5 + 207*a**4 - 207*a**4 - 17*a**5.\nAnswer: -24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 754*i + 745*i - 1510*i + 99 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.11+-15849914.4\nAnswer: -15849914.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -5*p - 55, 4*p + 3*u - 1319 = -1357 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kddd when four letters picked without replacement from {k: 1, o: 1, d: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - 2*f + 2*f)*(3*f**2 + 2 - 2) + (-2*f**2 + 4*f**2 - f**2)*(-2*f + 2 - 2) in the form t*f + z*f**2 + u*f**3 + b and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141358671?\nAnswer: 3, 907, 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2200 - -2200. Which is the closest to g? (a) -16 (b) -3 (c) -42 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*k**2 - 118*k**2 - 136*k**2 - 110*k**2.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259 + -0.54444613.\nAnswer: -259.54444613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*x**3 + 2*c**3 + 11*c**2 + 523*c*x**3 wrt c?\nAnswer: 6*c*x**3 + 12*c + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 138?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11914, 23830, 35746, 47662, 59578, 71494?\nAnswer: 83410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x + 9*x - 1 - 6 + 1. Let t(j) = j**3 - 19*j**2 + 31*j + 56. Let v be t(17). Let b(i) = 4*i - 6. Determine v*k(d) - 6*b(d).\nAnswer: d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/76395 and 7\/152790?\nAnswer: 152790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 38. Suppose -3*i = 5*k - 1 - 80, -2*k - 4*i + 38 = 0. Suppose -3*m + k = 0, z - 14 = -4*m + 2*m. Solve -z*a - q = -0*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 101?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (20\/2)\/(((-28)\/(-2))\/(-7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-182))\/(-10 - (-476)\/49)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*y + 8. Let i(m) = m**3 + 9*m**2 + 7*m - 6. Let h be i(y). What is the second derivative of -b**5 - b**5 - h*b + 5*b**5 + 0*b wrt b?\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -14. Let p(c) be the second derivative of 3*c**5\/20 - c**3\/6 + c**2\/2 + c. Is p(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-6) + 5 + 25 + -6. What is the tens digit of -9*(2 - 99\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/30 + (-33)\/(-18). Let s be (1 + 5\/g)*2. Let n(f) = -23 - 8*f**3 - f**2 + 2*f**2 + 12 + s*f**3. Give n(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5366*x + 24 = -5354*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from ntthshxv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 8?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -354 + 56*c**2 - 394 + 704 with respect to c.\nAnswer: 112*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3 + sqrt(1573) + 1 + -3)**2 + ((sqrt(1573)*1*-6)**2 - 6*((sqrt(1573) + sqrt(1573)*2)**2 - sqrt(1573)))).\nAnswer: -352*sqrt(13) + 106960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*f + 75*f - 172*f + 2.\nAnswer: -10*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from {h: 2, c: 2, g: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 126, 3\/5, -2\/3, -1 in ascending order.\nAnswer: -1, -2\/3, 0, 3\/5, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 divided by -4?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*d**4 - 1612417*d - 53584333 wrt d?\nAnswer: -72*d**3 - 1612417","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*c*t**3 + 57*c*t**2*u**2 - 6*t**3 - 37*t*u**2 wrt c?\nAnswer: 12*t**3 + 57*t**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v - v + 3*v + 0*v - 2*v + 4*v + (2*v - 2*v - 2*v)*(6 - 2 + 0).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 34*p + 1. Let l(t) = 215*t + 279*t - 1190*t + 299*t + 211*t. Determine b(l(k)).\nAnswer: -6324*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 14) to base 6\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41028*k**2 + 13597*k**2 + 13531*k**2 + 13194*k**2.\nAnswer: -706*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-990)\/12)\/33*(-8)\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from ckcf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u + 15 = 0. Suppose -5*y - 3 = -4*s, 0 = u*y - 2*s + 3*s - 7. Sort 0, -1, y in decreasing order.\nAnswer: y, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*w = 13. Let q = 44 - w. Suppose -5*v + 9 + q = 0. Solve -2*z + 15 = 4*b + 3, 3*b - v = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*i*x**2 + 2*i*x + 1525*i - x**3 with respect to x.\nAnswer: 22*i*x + 2*i - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -163*p + 140*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - 110 - 102 + 444*w - 106 + 535 - 101.\nAnswer: 444*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486 - 28*k**3 + 252 - 734.\nAnswer: -28*k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.4606921 nanometers in kilometers?\nAnswer: 0.0000000000004606921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 + 52*w**2 + 49*w - 3. Let b be p(-25). Solve -b = -4*c - 38 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13201023 - 130?\nAnswer: -13201203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 9 = 0, 5*k - 5511 - 365 = -3*a. Does 29 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5684888*g + 4667097?\nAnswer: 5684888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/13 (b) 2 (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by 184019?\nAnswer: 102\/184019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -129, -1\/4, -4, -5?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106660 a multiple of 1774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 8:13 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/2))**32)**(-14) assuming a is positive.\nAnswer: a**(-672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3)\/14*(-7021)\/(-4012)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - m**3 + 0*m)*(m + 2*m - m) + 3 - 3 + m**4 + (-449 + 449 - 189*m**4)*(2 - 5 + 1) as k*m + i*m**3 + p*m**4 + x*m**2 + r and give p.\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -192 + 172. Let a = -195 - -214.8. Let k = a + y. Sort 4, k, 1\/4.\nAnswer: k, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 202.928 - 0.158. Let w = 0.17 - m. Round w to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 14605 = -10301. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*b - 209*b = -2 + 1909 - 18512 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0788*0.6.\nAnswer: 0.04728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 21\/550 (c) 2 (d) 4 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 24 = y, 115 = 4*g - 38*y + 33*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + n**2 - 5*n - 5. Let r be p(-6). Let y = -1935\/7 + r. Let q = 23.53 - 21.53. Which is the nearest to y? (a) -0.4 (b) 5\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 17126*j + 1798224. Determine o(-105).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**4 + 3*v**3\/2 + 26*v**2 + 1. What are the prime factors of x(4)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 2*s - 22 = 0, -179*b + 125*s = -177*b - 619 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(192) - (0 + sqrt(192))**2) + ((2*sqrt(192))**2 + 3 - sqrt(192)) + 1*(0 + (-6*(sqrt(192) + -2) + sqrt(192))**2).\nAnswer: -976*sqrt(3) + 5907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 13 = -7. Suppose 0 = 2*q - 7*q + 5. Suppose -2 = -o - q. What is the closest to o in j, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2669162 is divided by 537?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 824 + -809 - 24\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/373812 and -71\/186906.\nAnswer: 373812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/1 - 9072\/16. Let x = 625 + c. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31a463 + -4a?\nAnswer: -31a4b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/4)\/((-7)\/7)*(-1)\/(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319, -629, -937, -1243, -1547, -1849?\nAnswer: -2149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-40 + 4) - 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -447*h - 666. What is the remainder when l(-9) is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 11521 = 1973. Let f = -308 + a. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**3\/3 + 7*a**2\/2 - 3*a - 44. Suppose -2*h - 3*h = 40. Calculate the remainder when 17 is divided by x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2240, 8453, 17930, 29969, 43868, 58925?\nAnswer: 74438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2908 is divided by 2895.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from {e: 4, c: 1, k: 1, i: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79\/2 + -229\/6. Let u = -0.18 + 7.18. Let n = -7.4 + u. What is the closest to 2 in m, n, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pczunppgucuu. What is prob of sequence cu?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(1\/4))\/x)\/((x**(-1)\/x)\/x))\/(x**1)**(1\/17)*((x\/(x**(2\/3)*x))**36)**(4\/7) assuming x is positive.\nAnswer: x**(-5009\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/36 and 35\/921916.\nAnswer: 8297244","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*l - l**2 + 4*l + 1 - 9*l to the form f + w*l**2 + h*l and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 19512*z + 7. Let f be b(-1). Let q = 16195 - f. Round q to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2314*b = -2320*b + 12. Put 5, 1, 3, b, -3 in increasing order.\nAnswer: -3, 1, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612558.\nAnswer: 2, 3, 34031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-3*2 + (sqrt(98) - (sqrt(98) + ((-3 + sqrt(98))*-2 - sqrt(98)))) + (-2*-1*sqrt(288) + 2)*-4)**2.\nAnswer: 3276*sqrt(2) + 27574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -312130251 - -5?\nAnswer: -312130243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 8. Let j be (k\/2)\/((-10)\/380). Let o = j + -9. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5453, 5458, 5475, 5510, 5569, 5658, 5783, 5950?\n\"Answer: g**3 - 2*g + 5454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -g + 5*p, 3*g + 2*g - 5*p = -15. Suppose g*a + 5*f = 283, -3*a - f + 149 = -2*a. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 3773.9391.\nAnswer: 3774.1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2591419195 to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 2 n when four letters picked without replacement from njejjesnzttnjn.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17488, -17997, -18846, -20029, -21540?\nAnswer: -23373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -0.03\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 6. Let h be (18\/(-10))\/(g\/(-5)). Solve 4*a + 5*p = -0*p - 7, -3*p = -2*a - h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4655803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -6*u + 47, u + 4*n = 2 + 25. Calculate the highest common divisor of u and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124641060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3604*p = -3684*p + 19 - 419 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 79\/(12719\/138)*21. Let a be 1\/(-2)*-1*10. Sort a, t, -3 in ascending order.\nAnswer: -3, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 6 - 6)*(9*i + 37*i + 30*i + 1) to j + y*i + f*i**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**3\/2 + 872*p + 1. Let m(b) = 2*b - 117. What is m(u(s))?\nAnswer: -6*s - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:23 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**10*t**(-1)\/t*(t**(-1\/5)\/t)**3 assuming t is positive.\nAnswer: t**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -44*u + 5. Let o be s(-4). Suppose -3*c + 292 = -5*g - o, -3*c = -g - 481. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-4*6\/(-432).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1047)\/(-45) + 0 + -1. Let w = a + -112\/5. Let j be (-55)\/11*(-1)\/(-5). Are j and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 9*n**2 - 7*n - 5. Determine i(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.02 (b) 0.5 (c) -4\/3 (d) -90.84 (e) -1 (f) -0.003\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -37, -54, -73, -94, -117?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*p - 2 = 0, 0 = 2*h - 2*p + 1 + 3. Suppose 219 = 5*f + 2*k, h*f = k - 0*k + 84. Let z = 21 - 10. Calculate the remainder when f is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-18))\/(1512\/432)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/3 + (-2)\/(-6). Let d(j) = j**3 - 2*j**2 - 16*j + 6. Let i be d(5). Is i greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*((-72)\/(-90))\/(2\/(-5))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}